MS_apriori_docword_nips.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K= 10\n",
      "Runtime is :14.49821925163269 seconds\n",
      "The Frequent sets are:\n",
      "[{'ken'}, {'kybernetik'}, {'mitsuo'}, {'netic'}, {'erated'}, {'explo'}, {'discus'}, {'deutsche'}, {'duces'}, {'ichi'}, {'flavor'}, {'tered'}, {'spectively'}, {'slowed'}, {'vetterling'}, {'varieties'}, {'tude'}, {'vances'}, {'prac'}, {'pled'}, {'postdoctoral'}, {'neuromimetic'}, {'opposing'}, {'racy'}, {'quan'}, {'puting'}, {'pursuing'}, {'resented'}, {'crete'}, {'aro'}, {'assembled'}, {'anism'}, {'acquires'}, {'transport'}, {'tual'}, {'crucially'}, {'weigh'}, {'warrant'}, {'vides'}, {'ied'}, {'finished'}, {'creases'}, {'advocated'}, {'investigates'}, {'naftali'}, {'ric'}, {'regu'}, {'barely'}, {'ccr'}, {'sara'}, {'biolog'}, {'numer'}, {'quarterly'}, {'pute'}, {'symp'}, {'sured'}, {'ior'}, {'tistical'}, {'jeff'}, {'tedious'}, {'assisted'}, {'strate'}, {'dictates'}, {'documented'}, {'dirac'}, {'sional'}, {'deviate'}, {'intriguing'}, {'gan'}, {'structed'}, {'ported'}, {'tremendous'}, {'flannery'}, {'shut'}, {'teukolsky'}, {'sider'}, {'stressed'}, {'contrasted'}, {'dozen'}, {'education'}, {'mech'}, {'istic'}, {'badly'}, {'ule'}, {'observational'}, {'clarendon'}, {'itive'}, {'plete'}, {'acteristic'}, {'genera'}, {'neuronlike'}, {'cording'}, {'tering'}, {'danger'}, {'increas'}, {'manage'}, {'cri'}, {'suspect'}, {'redwood'}, {'tie'}, {'derlying'}, {'yorktown'}, {'fax'}, {'identi'}, {'accelerated'}, {'accomplishes'}, {'interfere'}, {'oped'}, {'ijcai'}, {'maybe'}, {'spe'}, {'orlando'}, {'concentrating'}, {'lengthy'}, {'proximate'}, {'terminating'}, {'decade'}, {'cedure'}, {'resent'}, {'sive'}, {'knowl'}, {'zation'}, {'strated'}, {'doubled'}, {'parison'}, {'simi'}, {'concluding'}, {'concludes'}, {'funding'}, {'uous'}, {'terry'}, {'signif'}, {'focussed'}, {'recipes'}, {'wadsworth'}, {'formalize'}, {'invoked'}, {'fined'}, {'exert'}, {'cies'}, {'lihood'}, {'pervised'}, {'appeal'}, {'dation'}, {'indebted'}, {'prog'}, {'invaluable'}, {'cate'}, {'looked'}, {'tionist'}, {'sug'}, {'duced'}, {'iden'}, {'unrealistic'}, {'dan'}, {'ist'}, {'havior'}, {'ticular'}, {'erties'}, {'stud'}, {'plied'}, {'ner'}, {'tational'}, {'contin'}, {'quence'}, {'duce'}, {'trivially'}, {'justifies'}, {'particu'}, {'sible'}, {'charac'}, {'ting'}, {'mented'}, {'lacking'}, {'simu'}, {'univer'}, {'cient'}, {'tant'}, {'spond'}, {'ages'}, {'presidential'}, {'burden'}, {'correspondingly'}, {'ministry'}, {'respec'}, {'versity'}, {'imum'}, {'ities'}, {'ample'}, {'rela'}, {'impor'}, {'putational'}, {'phil'}, {'sponsored'}, {'sult'}, {'fore'}, {'tained'}, {'ically'}, {'tain'}, {'compu'}, {'acknowledgement'}, {'vances', 'explo'}, {'explo', 'resented'}, {'ichi', 'spectively'}, {'ichi', 'varieties'}, {'vances', 'ichi'}, {'ichi', 'postdoctoral'}, {'ichi', 'puting'}, {'ichi', 'resented'}, {'ichi', 'stressed'}, {'ichi', 'istic'}, {'ichi', 'suspect'}, {'interfere', 'ichi'}, {'invaluable', 'ichi'}, {'vances', 'tered'}, {'vances', 'spectively'}, {'spectively', 'stressed'}, {'vances', 'vetterling'}, {'vances', 'varieties'}, {'vances', 'weigh'}, {'vances', 'vides'}, {'vances', 'prac'}, {'prac', 'resented'}, {'varieties', 'postdoctoral'}, {'vances', 'postdoctoral'}, {'puting', 'postdoctoral'}, {'postdoctoral', 'resented'}, {'teukolsky', 'postdoctoral'}, {'stressed', 'postdoctoral'}, {'suspect', 'postdoctoral'}, {'tionist', 'postdoctoral'}, {'spectively', 'puting'}, {'vances', 'puting'}, {'puting', 'resented'}, {'puting', 'stressed'}, {'tered', 'resented'}, {'spectively', 'resented'}, {'varieties', 'resented'}, {'vances', 'resented'}, {'weigh', 'resented'}, {'symp', 'resented'}, {'teukolsky', 'resented'}, {'sider', 'resented'}, {'stressed', 'resented'}, {'suspect', 'resented'}, {'signif', 'resented'}, {'sug', 'resented'}, {'vances', 'crete'}, {'ichi', 'anism'}, {'varieties', 'anism'}, {'vances', 'anism'}, {'postdoctoral', 'anism'}, {'anism', 'resented'}, {'stressed', 'anism'}, {'istic', 'anism'}, {'suspect', 'anism'}, {'interfere', 'anism'}, {'exert', 'anism'}, {'invaluable', 'anism'}, {'vances', 'transport'}, {'vances', 'naftali'}, {'biolog', 'resented'}, {'vances', 'quarterly'}, {'vances', 'symp'}, {'vances', 'tistical'}, {'vances', 'jeff'}, {'jeff', 'postdoctoral'}, {'jeff', 'resented'}, {'jeff', 'stressed'}, {'dictates', 'varieties'}, {'vances', 'dictates'}, {'dictates', 'postdoctoral'}, {'dictates', 'stressed'}, {'dictates', 'exert'}, {'vances', 'documented'}, {'vances', 'gan'}, {'gan', 'resented'}, {'particu', 'gan'}, {'vances', 'ported'}, {'vances', 'shut'}, {'vances', 'teukolsky'}, {'varieties', 'stressed'}, {'vances', 'stressed'}, {'weigh', 'stressed'}, {'teukolsky', 'stressed'}, {'suspect', 'stressed'}, {'ticular', 'stressed'}, {'vances', 'education'}, {'education', 'postdoctoral'}, {'education', 'resented'}, {'education', 'stressed'}, {'interfere', 'education'}, {'exert', 'education'}, {'particu', 'education'}, {'sible', 'education'}, {'vances', 'mech'}, {'mech', 'postdoctoral'}, {'mech', 'resented'}, {'mech', 'stressed'}, {'plied', 'mech'}, {'mech', 'particu'}, {'sible', 'mech'}, {'varieties', 'istic'}, {'vances', 'istic'}, {'postdoctoral', 'istic'}, {'istic', 'resented'}, {'stressed', 'istic'}, {'suspect', 'istic'}, {'ticular', 'istic'}, {'particu', 'istic'}, {'sible', 'istic'}, {'varieties', 'genera'}, {'vances', 'genera'}, {'genera', 'resented'}, {'stressed', 'genera'}, {'particu', 'genera'}, {'sible', 'genera'}, {'vances', 'cording'}, {'particu', 'cording'}, {'vances', 'suspect'}, {'vances', 'fax'}, {'fax', 'resented'}, {'particu', 'fax'}, {'interfere', 'varieties'}, {'vances', 'interfere'}, {'interfere', 'postdoctoral'}, {'interfere', 'puting'}, {'interfere', 'resented'}, {'interfere', 'stressed'}, {'mech', 'interfere'}, {'interfere', 'istic'}, {'interfere', 'suspect'}, {'invaluable', 'interfere'}, {'ticular', 'interfere'}, {'interfere', 'quence'}, {'particu', 'interfere'}, {'sible', 'interfere'}, {'vances', 'proximate'}, {'proximate', 'resented'}, {'ichi', 'cedure'}, {'varieties', 'cedure'}, {'vances', 'cedure'}, {'cedure', 'postdoctoral'}, {'cedure', 'resented'}, {'cedure', 'stressed'}, {'interfere', 'cedure'}, {'exert', 'cedure'}, {'invaluable', 'cedure'}, {'cedure', 'ner'}, {'contin', 'cedure'}, {'quence', 'cedure'}, {'particu', 'cedure'}, {'sible', 'cedure'}, {'vances', 'concluding'}, {'particu', 'concluding'}, {'vances', 'concludes'}, {'concludes', 'postdoctoral'}, {'interfere', 'concludes'}, {'concludes', 'exert'}, {'contin', 'concludes'}, {'particu', 'concludes'}, {'sible', 'concludes'}, {'signif', 'vances'}, {'vances', 'fined'}, {'fined', 'particu'}, {'ichi', 'exert'}, {'varieties', 'exert'}, {'vances', 'exert'}, {'exert', 'postdoctoral'}, {'exert', 'resented'}, {'exert', 'stressed'}, {'mech', 'exert'}, {'exert', 'istic'}, {'exert', 'suspect'}, {'interfere', 'exert'}, {'fined', 'exert'}, {'invaluable', 'exert'}, {'ticular', 'exert'}, {'plied', 'exert'}, {'quence', 'exert'}, {'particu', 'exert'}, {'sible', 'exert'}, {'vances', 'appeal'}, {'particu', 'appeal'}, {'vances', 'prog'}, {'prog', 'resented'}, {'vances', 'invaluable'}, {'invaluable', 'postdoctoral'}, {'invaluable', 'resented'}, {'invaluable', 'stressed'}, {'particu', 'invaluable'}, {'sible', 'invaluable'}, {'vances', 'sug'}, {'plied', 'stressed'}, {'plied', 'sible'}, {'particu', 'ner'}, {'contin', 'dictates'}, {'contin', 'teukolsky'}, {'contin', 'stressed'}, {'contin', 'mech'}, {'contin', 'istic'}, {'contin', 'genera'}, {'contin', 'cording'}, {'contin', 'suspect'}, {'contin', 'interfere'}, {'contin', 'exert'}, {'contin', 'invaluable'}, {'contin', 'ticular'}, {'contin', 'plied'}, {'contin', 'quence'}, {'contin', 'particu'}, {'contin', 'sible'}, {'contin', 'respec'}, {'contin', 'ities'}, {'quence', 'stressed'}, {'sible', 'quence'}, {'particu', 'duce'}, {'particu', 'teukolsky'}, {'particu', 'stressed'}, {'particu', 'suspect'}, {'signif', 'particu'}, {'particu', 'prog'}, {'particu', 'sug'}, {'ticular', 'particu'}, {'plied', 'particu'}, {'particu', 'quence'}, {'sible', 'particu'}, {'tant', 'particu'}, {'particu', 'respec'}, {'particu', 'rela'}, {'putational', 'particu'}, {'sible', 'teukolsky'}, {'sible', 'stressed'}, {'sible', 'suspect'}, {'ticular', 'sible'}, {'particu', 'ities'}, {'sible', 'ities'}, {'vances', 'ichi', 'varieties'}, {'vances', 'ichi', 'postdoctoral'}, {'vances', 'ichi', 'resented'}, {'vances', 'ichi', 'stressed'}, {'vances', 'ichi', 'istic'}, {'vances', 'interfere', 'ichi'}, {'vances', 'invaluable', 'ichi'}, {'vances', 'varieties', 'postdoctoral'}, {'vances', 'postdoctoral', 'resented'}, {'vances', 'stressed', 'postdoctoral'}, {'stressed', 'suspect', 'postdoctoral'}, {'vances', 'suspect', 'postdoctoral'}, {'spectively', 'puting', 'resented'}, {'vances', 'puting', 'resented'}, {'stressed', 'puting', 'resented'}, {'vances', 'puting', 'stressed'}, {'vances', 'spectively', 'resented'}, {'stressed', 'spectively', 'resented'}, {'vances', 'varieties', 'resented'}, {'stressed', 'varieties', 'resented'}, {'vances', 'stressed', 'resented'}, {'vances', 'suspect', 'resented'}, {'vances', 'varieties', 'anism'}, {'vances', 'postdoctoral', 'anism'}, {'vances', 'anism', 'resented'}, {'vances', 'stressed', 'anism'}, {'vances', 'suspect', 'anism'}, {'vances', 'interfere', 'anism'}, {'vances', 'exert', 'anism'}, {'vances', 'dictates', 'varieties'}, {'vances', 'dictates', 'postdoctoral'}, {'vances', 'dictates', 'stressed'}, {'vances', 'dictates', 'exert'}, {'vances', 'varieties', 'stressed'}, {'vances', 'suspect', 'stressed'}, {'sible', 'particu', 'education'}, {'vances', 'mech', 'postdoctoral'}, {'vances', 'mech', 'resented'}, {'vances', 'mech', 'stressed'}, {'mech', 'particu', 'stressed'}, {'sible', 'mech', 'particu'}, {'vances', 'postdoctoral', 'istic'}, {'vances', 'stressed', 'istic'}, {'stressed', 'particu', 'istic'}, {'sible', 'particu', 'istic'}, {'sible', 'particu', 'genera'}, {'vances', 'interfere', 'varieties'}, {'vances', 'interfere', 'postdoctoral'}, {'vances', 'interfere', 'resented'}, {'vances', 'interfere', 'stressed'}, {'particu', 'interfere', 'stressed'}, {'particu', 'quence', 'interfere'}, {'sible', 'particu', 'interfere'}, {'vances', 'varieties', 'cedure'}, {'vances', 'cedure', 'postdoctoral'}, {'vances', 'cedure', 'resented'}, {'vances', 'cedure', 'stressed'}, {'vances', 'interfere', 'cedure'}, {'particu', 'cedure', 'interfere'}, {'vances', 'exert', 'cedure'}, {'contin', 'particu', 'cedure'}, {'particu', 'cedure', 'stressed'}, {'particu', 'quence', 'cedure'}, {'sible', 'particu', 'cedure'}, {'vances', 'concludes', 'exert'}, {'vances', 'ichi', 'exert'}, {'vances', 'varieties', 'exert'}, {'vances', 'exert', 'postdoctoral'}, {'vances', 'exert', 'resented'}, {'vances', 'exert', 'stressed'}, {'vances', 'exert', 'istic'}, {'vances', 'interfere', 'exert'}, {'particu', 'exert', 'interfere'}, {'particu', 'exert', 'stressed'}, {'sible', 'particu', 'exert'}, {'vances', 'invaluable', 'postdoctoral'}, {'vances', 'invaluable', 'resented'}, {'vances', 'invaluable', 'stressed'}, {'particu', 'invaluable', 'stressed'}, {'sible', 'particu', 'invaluable'}, {'contin', 'mech', 'particu'}, {'contin', 'particu', 'istic'}, {'contin', 'particu', 'genera'}, {'contin', 'particu', 'interfere'}, {'contin', 'exert', 'stressed'}, {'contin', 'particu', 'exert'}, {'contin', 'sible', 'exert'}, {'contin', 'particu', 'invaluable'}, {'contin', 'particu', 'stressed'}, {'contin', 'particu', 'suspect'}, {'contin', 'particu', 'ticular'}, {'contin', 'particu', 'quence'}, {'contin', 'particu', 'sible'}, {'contin', 'particu', 'respec'}, {'contin', 'sible', 'stressed'}, {'sible', 'particu', 'quence'}, {'sible', 'particu', 'stressed'}, {'sible', 'particu', 'ticular'}]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K= 10\n",
      "Runtime is :17.27081799507141 seconds\n",
      "The Frequent sets are:\n",
      "[{'ken'}, {'kybernetik'}, {'mitsuo'}, {'netic'}, {'erated'}, {'explo'}, {'discus'}, {'deutsche'}, {'duces'}, {'ichi'}, {'flavor'}, {'tered'}, {'spectively'}, {'slowed'}, {'vetterling'}, {'varieties'}, {'tude'}, {'vances'}, {'prac'}, {'pled'}, {'postdoctoral'}, {'neuromimetic'}, {'opposing'}, {'racy'}, {'quan'}, {'puting'}, {'pursuing'}, {'resented'}, {'crete'}, {'aro'}, {'assembled'}, {'anism'}, {'acquires'}, {'transport'}, {'tual'}, {'crucially'}, {'weigh'}, {'warrant'}, {'vides'}, {'ied'}, {'finished'}, {'creases'}, {'advocated'}, {'investigates'}, {'naftali'}, {'ric'}, {'regu'}, {'barely'}, {'ccr'}, {'sara'}, {'biolog'}, {'numer'}, {'quarterly'}, {'pute'}, {'symp'}, {'sured'}, {'ior'}, {'tistical'}, {'jeff'}, {'tedious'}, {'assisted'}, {'strate'}, {'dictates'}, {'documented'}, {'dirac'}, {'sional'}, {'deviate'}, {'intriguing'}, {'gan'}, {'structed'}, {'ported'}, {'tremendous'}, {'flannery'}, {'shut'}, {'teukolsky'}, {'sider'}, {'stressed'}, {'contrasted'}, {'dozen'}, {'education'}, {'mech'}, {'istic'}, {'badly'}, {'ule'}, {'observational'}, {'clarendon'}, {'itive'}, {'plete'}, {'acteristic'}, {'genera'}, {'neuronlike'}, {'cording'}, {'tering'}, {'danger'}, {'increas'}, {'manage'}, {'cri'}, {'suspect'}, {'redwood'}, {'tie'}, {'derlying'}, {'yorktown'}, {'fax'}, {'identi'}, {'accelerated'}, {'accomplishes'}, {'interfere'}, {'oped'}, {'ijcai'}, {'maybe'}, {'spe'}, {'orlando'}, {'concentrating'}, {'lengthy'}, {'proximate'}, {'terminating'}, {'decade'}, {'cedure'}, {'resent'}, {'sive'}, {'knowl'}, {'zation'}, {'strated'}, {'doubled'}, {'parison'}, {'simi'}, {'concluding'}, {'concludes'}, {'funding'}, {'uous'}, {'terry'}, {'signif'}, {'focussed'}, {'recipes'}, {'wadsworth'}, {'formalize'}, {'invoked'}, {'fined'}, {'exert'}, {'cies'}, {'lihood'}, {'pervised'}, {'appeal'}, {'dation'}, {'indebted'}, {'prog'}, {'invaluable'}, {'cate'}, {'looked'}, {'tionist'}, {'sug'}, {'duced'}, {'iden'}, {'unrealistic'}, {'dan'}, {'ist'}, {'havior'}, {'ticular'}, {'erties'}, {'stud'}, {'plied'}, {'ner'}, {'tational'}, {'contin'}, {'quence'}, {'duce'}, {'trivially'}, {'justifies'}, {'particu'}, {'sible'}, {'charac'}, {'ting'}, {'mented'}, {'lacking'}, {'simu'}, {'univer'}, {'cient'}, {'tant'}, {'spond'}, {'ages'}, {'presidential'}, {'burden'}, {'correspondingly'}, {'ministry'}, {'respec'}, {'versity'}, {'imum'}, {'ities'}, {'ample'}, {'rela'}, {'impor'}, {'putational'}, {'phil'}, {'sponsored'}, {'sult'}, {'fore'}, {'tained'}, {'ically'}, {'tain'}, {'compu'}, {'acknowledgement'}, {'vances', 'explo'}, {'explo', 'resented'}, {'explo', 'particu'}, {'ichi', 'spectively'}, {'ichi', 'varieties'}, {'vances', 'ichi'}, {'ichi', 'postdoctoral'}, {'ichi', 'puting'}, {'ichi', 'resented'}, {'ichi', 'stressed'}, {'ichi', 'istic'}, {'ichi', 'suspect'}, {'interfere', 'ichi'}, {'invaluable', 'ichi'}, {'ticular', 'ichi'}, {'plied', 'ichi'}, {'ichi', 'ner'}, {'ichi', 'quence'}, {'particu', 'ichi'}, {'sible', 'ichi'}, {'ities', 'ichi'}, {'ichi', 'tained'}, {'vances', 'tered'}, {'vances', 'spectively'}, {'spectively', 'stressed'}, {'vances', 'vetterling'}, {'vances', 'varieties'}, {'vances', 'weigh'}, {'vances', 'vides'}, {'vances', 'prac'}, {'prac', 'resented'}, {'varieties', 'postdoctoral'}, {'vances', 'postdoctoral'}, {'puting', 'postdoctoral'}, {'postdoctoral', 'resented'}, {'teukolsky', 'postdoctoral'}, {'stressed', 'postdoctoral'}, {'suspect', 'postdoctoral'}, {'tionist', 'postdoctoral'}, {'ticular', 'postdoctoral'}, {'quence', 'postdoctoral'}, {'sible', 'postdoctoral'}, {'putational', 'postdoctoral'}, {'tained', 'postdoctoral'}, {'spectively', 'puting'}, {'vances', 'puting'}, {'puting', 'resented'}, {'puting', 'stressed'}, {'ticular', 'puting'}, {'sible', 'puting'}, {'respec', 'puting'}, {'tered', 'resented'}, {'spectively', 'resented'}, {'varieties', 'resented'}, {'vances', 'resented'}, {'weigh', 'resented'}, {'symp', 'resented'}, {'teukolsky', 'resented'}, {'sider', 'resented'}, {'stressed', 'resented'}, {'suspect', 'resented'}, {'signif', 'resented'}, {'sug', 'resented'}, {'ticular', 'resented'}, {'sible', 'resented'}, {'respec', 'resented'}, {'tained', 'resented'}, {'vances', 'crete'}, {'plied', 'crete'}, {'ichi', 'anism'}, {'varieties', 'anism'}, {'vances', 'anism'}, {'postdoctoral', 'anism'}, {'anism', 'resented'}, {'stressed', 'anism'}, {'istic', 'anism'}, {'suspect', 'anism'}, {'interfere', 'anism'}, {'exert', 'anism'}, {'invaluable', 'anism'}, {'ticular', 'anism'}, {'contin', 'anism'}, {'quence', 'anism'}, {'particu', 'anism'}, {'sible', 'anism'}, {'respec', 'anism'}, {'tained', 'anism'}, {'vances', 'transport'}, {'vances', 'naftali'}, {'particu', 'naftali'}, {'biolog', 'resented'}, {'particu', 'biolog'}, {'vances', 'quarterly'}, {'vances', 'symp'}, {'vances', 'tistical'}, {'vances', 'jeff'}, {'jeff', 'postdoctoral'}, {'jeff', 'resented'}, {'jeff', 'stressed'}, {'particu', 'jeff'}, {'dictates', 'varieties'}, {'vances', 'dictates'}, {'dictates', 'postdoctoral'}, {'dictates', 'stressed'}, {'dictates', 'exert'}, {'dictates', 'particu'}, {'sible', 'dictates'}, {'vances', 'documented'}, {'particu', 'documented'}, {'vances', 'gan'}, {'gan', 'resented'}, {'particu', 'gan'}, {'vances', 'ported'}, {'vances', 'shut'}, {'vances', 'teukolsky'}, {'varieties', 'stressed'}, {'vances', 'stressed'}, {'weigh', 'stressed'}, {'teukolsky', 'stressed'}, {'suspect', 'stressed'}, {'ticular', 'stressed'}, {'tained', 'stressed'}, {'vances', 'education'}, {'education', 'postdoctoral'}, {'education', 'resented'}, {'education', 'stressed'}, {'interfere', 'education'}, {'exert', 'education'}, {'particu', 'education'}, {'sible', 'education'}, {'vances', 'mech'}, {'mech', 'postdoctoral'}, {'mech', 'resented'}, {'mech', 'stressed'}, {'plied', 'mech'}, {'mech', 'particu'}, {'sible', 'mech'}, {'mech', 'tained'}, {'varieties', 'istic'}, {'vances', 'istic'}, {'postdoctoral', 'istic'}, {'istic', 'resented'}, {'stressed', 'istic'}, {'suspect', 'istic'}, {'ticular', 'istic'}, {'particu', 'istic'}, {'sible', 'istic'}, {'tained', 'istic'}, {'varieties', 'genera'}, {'vances', 'genera'}, {'genera', 'resented'}, {'stressed', 'genera'}, {'particu', 'genera'}, {'sible', 'genera'}, {'vances', 'cording'}, {'particu', 'cording'}, {'vances', 'suspect'}, {'tained', 'suspect'}, {'vances', 'fax'}, {'fax', 'resented'}, {'particu', 'fax'}, {'interfere', 'varieties'}, {'vances', 'interfere'}, {'interfere', 'postdoctoral'}, {'interfere', 'puting'}, {'interfere', 'resented'}, {'interfere', 'stressed'}, {'mech', 'interfere'}, {'interfere', 'istic'}, {'interfere', 'suspect'}, {'invaluable', 'interfere'}, {'ticular', 'interfere'}, {'interfere', 'quence'}, {'particu', 'interfere'}, {'sible', 'interfere'}, {'interfere', 'respec'}, {'interfere', 'tained'}, {'vances', 'proximate'}, {'proximate', 'resented'}, {'ichi', 'cedure'}, {'varieties', 'cedure'}, {'vances', 'cedure'}, {'cedure', 'postdoctoral'}, {'cedure', 'resented'}, {'cedure', 'stressed'}, {'interfere', 'cedure'}, {'exert', 'cedure'}, {'invaluable', 'cedure'}, {'cedure', 'ner'}, {'contin', 'cedure'}, {'quence', 'cedure'}, {'particu', 'cedure'}, {'sible', 'cedure'}, {'cedure', 'respec'}, {'cedure', 'tained'}, {'vances', 'concluding'}, {'particu', 'concluding'}, {'vances', 'concludes'}, {'concludes', 'postdoctoral'}, {'interfere', 'concludes'}, {'concludes', 'exert'}, {'contin', 'concludes'}, {'particu', 'concludes'}, {'sible', 'concludes'}, {'signif', 'vances'}, {'vances', 'fined'}, {'fined', 'particu'}, {'ichi', 'exert'}, {'varieties', 'exert'}, {'vances', 'exert'}, {'exert', 'postdoctoral'}, {'exert', 'resented'}, {'exert', 'stressed'}, {'mech', 'exert'}, {'exert', 'istic'}, {'exert', 'suspect'}, {'interfere', 'exert'}, {'fined', 'exert'}, {'invaluable', 'exert'}, {'ticular', 'exert'}, {'plied', 'exert'}, {'quence', 'exert'}, {'particu', 'exert'}, {'sible', 'exert'}, {'ities', 'exert'}, {'exert', 'tained'}, {'vances', 'appeal'}, {'particu', 'appeal'}, {'vances', 'prog'}, {'prog', 'resented'}, {'vances', 'invaluable'}, {'invaluable', 'postdoctoral'}, {'invaluable', 'resented'}, {'invaluable', 'stressed'}, {'particu', 'invaluable'}, {'sible', 'invaluable'}, {'vances', 'sug'}, {'ticular', 'varieties'}, {'vances', 'ticular'}, {'vances', 'plied'}, {'plied', 'postdoctoral'}, {'plied', 'stressed'}, {'plied', 'sible'}, {'vances', 'ner'}, {'ner', 'resented'}, {'particu', 'ner'}, {'contin', 'ichi'}, {'contin', 'spectively'}, {'contin', 'varieties'}, {'contin', 'vances'}, {'contin', 'postdoctoral'}, {'contin', 'puting'}, {'contin', 'resented'}, {'contin', 'dictates'}, {'contin', 'teukolsky'}, {'contin', 'stressed'}, {'contin', 'mech'}, {'contin', 'istic'}, {'contin', 'genera'}, {'contin', 'cording'}, {'contin', 'suspect'}, {'contin', 'interfere'}, {'contin', 'exert'}, {'contin', 'invaluable'}, {'contin', 'ticular'}, {'contin', 'plied'}, {'contin', 'quence'}, {'contin', 'particu'}, {'contin', 'sible'}, {'contin', 'respec'}, {'contin', 'ities'}, {'contin', 'tained'}, {'varieties', 'quence'}, {'vances', 'quence'}, {'quence', 'resented'}, {'quence', 'stressed'}, {'sible', 'quence'}, {'particu', 'duce'}, {'particu', 'tered'}, {'particu', 'spectively'}, {'particu', 'varieties'}, {'vances', 'particu'}, {'particu', 'postdoctoral'}, {'particu', 'puting'}, {'particu', 'resented'}, {'particu', 'weigh'}, {'particu', 'symp'}, {'particu', 'teukolsky'}, {'particu', 'stressed'}, {'particu', 'suspect'}, {'signif', 'particu'}, {'particu', 'prog'}, {'particu', 'sug'}, {'ticular', 'particu'}, {'plied', 'particu'}, {'particu', 'quence'}, {'sible', 'particu'}, {'tant', 'particu'}, {'particu', 'respec'}, {'particu', 'rela'}, {'putational', 'particu'}, {'particu', 'tained'}, {'sible', 'varieties'}, {'vances', 'sible'}, {'sible', 'teukolsky'}, {'sible', 'stressed'}, {'sible', 'suspect'}, {'ticular', 'sible'}, {'sible', 'tained'}, {'vances', 'respec'}, {'vances', 'ities'}, {'particu', 'ities'}, {'sible', 'ities'}, {'vances', 'rela'}, {'vances', 'tained'}, {'vances', 'ichi', 'varieties'}, {'vances', 'ichi', 'postdoctoral'}, {'vances', 'ichi', 'resented'}, {'vances', 'ichi', 'stressed'}, {'vances', 'ichi', 'istic'}, {'particu', 'ichi', 'istic'}, {'vances', 'interfere', 'ichi'}, {'particu', 'ichi', 'interfere'}, {'sible', 'ichi', 'interfere'}, {'vances', 'invaluable', 'ichi'}, {'particu', 'ichi', 'invaluable'}, {'vances', 'ticular', 'ichi'}, {'vances', 'ichi', 'quence'}, {'particu', 'ichi', 'varieties'}, {'vances', 'particu', 'ichi'}, {'particu', 'ichi', 'postdoctoral'}, {'particu', 'ichi', 'resented'}, {'particu', 'ichi', 'stressed'}, {'ticular', 'particu', 'ichi'}, {'sible', 'particu', 'ichi'}, {'particu', 'ichi', 'tained'}, {'vances', 'sible', 'ichi'}, {'vances', 'varieties', 'postdoctoral'}, {'vances', 'postdoctoral', 'resented'}, {'sible', 'postdoctoral', 'resented'}, {'vances', 'stressed', 'postdoctoral'}, {'stressed', 'suspect', 'postdoctoral'}, {'vances', 'suspect', 'postdoctoral'}, {'vances', 'ticular', 'postdoctoral'}, {'vances', 'quence', 'postdoctoral'}, {'postdoctoral', 'quence', 'resented'}, {'sible', 'quence', 'postdoctoral'}, {'vances', 'sible', 'postdoctoral'}, {'sible', 'postdoctoral', 'stressed'}, {'vances', 'tained', 'postdoctoral'}, {'spectively', 'puting', 'resented'}, {'vances', 'puting', 'resented'}, {'stressed', 'puting', 'resented'}, {'vances', 'puting', 'stressed'}, {'vances', 'spectively', 'resented'}, {'stressed', 'spectively', 'resented'}, {'vances', 'varieties', 'resented'}, {'stressed', 'varieties', 'resented'}, {'vances', 'stressed', 'resented'}, {'stressed', 'tained', 'resented'}, {'vances', 'suspect', 'resented'}, {'vances', 'ticular', 'resented'}, {'sible', 'spectively', 'resented'}, {'sible', 'varieties', 'resented'}, {'vances', 'sible', 'resented'}, {'stressed', 'sible', 'resented'}, {'ticular', 'sible', 'resented'}, {'sible', 'tained', 'resented'}, {'vances', 'respec', 'resented'}, {'stressed', 'respec', 'resented'}, {'vances', 'tained', 'resented'}, {'vances', 'varieties', 'anism'}, {'vances', 'postdoctoral', 'anism'}, {'vances', 'anism', 'resented'}, {'sible', 'anism', 'resented'}, {'vances', 'stressed', 'anism'}, {'vances', 'suspect', 'anism'}, {'vances', 'interfere', 'anism'}, {'particu', 'interfere', 'anism'}, {'vances', 'exert', 'anism'}, {'contin', 'vances', 'anism'}, {'contin', 'postdoctoral', 'anism'}, {'contin', 'anism', 'resented'}, {'contin', 'particu', 'anism'}, {'vances', 'particu', 'anism'}, {'particu', 'anism', 'resented'}, {'stressed', 'particu', 'anism'}, {'sible', 'particu', 'anism'}, {'vances', 'sible', 'anism'}, {'particu', 'biolog', 'resented'}, {'vances', 'particu', 'jeff'}, {'vances', 'dictates', 'varieties'}, {'vances', 'dictates', 'postdoctoral'}, {'vances', 'dictates', 'stressed'}, {'vances', 'dictates', 'exert'}, {'vances', 'dictates', 'particu'}, {'vances', 'varieties', 'stressed'}, {'vances', 'suspect', 'stressed'}, {'vances', 'ticular', 'stressed'}, {'vances', 'tained', 'stressed'}, {'vances', 'particu', 'education'}, {'particu', 'education', 'resented'}, {'sible', 'particu', 'education'}, {'vances', 'sible', 'education'}, {'vances', 'mech', 'postdoctoral'}, {'vances', 'mech', 'resented'}, {'vances', 'mech', 'stressed'}, {'vances', 'mech', 'particu'}, {'mech', 'particu', 'postdoctoral'}, {'mech', 'particu', 'resented'}, {'mech', 'particu', 'stressed'}, {'sible', 'mech', 'particu'}, {'vances', 'mech', 'sible'}, {'vances', 'postdoctoral', 'istic'}, {'vances', 'stressed', 'istic'}, {'vances', 'particu', 'istic'}, {'particu', 'postdoctoral', 'istic'}, {'particu', 'istic', 'resented'}, {'stressed', 'particu', 'istic'}, {'sible', 'particu', 'istic'}, {'particu', 'tained', 'istic'}, {'vances', 'sible', 'istic'}, {'vances', 'particu', 'genera'}, {'particu', 'genera', 'resented'}, {'sible', 'particu', 'genera'}, {'vances', 'particu', 'cording'}, {'vances', 'interfere', 'varieties'}, {'vances', 'interfere', 'postdoctoral'}, {'sible', 'interfere', 'postdoctoral'}, {'vances', 'interfere', 'resented'}, {'vances', 'interfere', 'stressed'}, {'vances', 'interfere', 'quence'}, {'particu', 'varieties', 'interfere'}, {'vances', 'particu', 'interfere'}, {'particu', 'interfere', 'postdoctoral'}, {'particu', 'interfere', 'resented'}, {'particu', 'interfere', 'stressed'}, {'particu', 'quence', 'interfere'}, {'sible', 'particu', 'interfere'}, {'particu', 'respec', 'interfere'}, {'particu', 'tained', 'interfere'}, {'vances', 'sible', 'interfere'}, {'vances', 'varieties', 'cedure'}, {'vances', 'cedure', 'postdoctoral'}, {'vances', 'cedure', 'resented'}, {'cedure', 'respec', 'resented'}, {'vances', 'cedure', 'stressed'}, {'vances', 'interfere', 'cedure'}, {'particu', 'cedure', 'interfere'}, {'vances', 'exert', 'cedure'}, {'contin', 'vances', 'cedure'}, {'contin', 'cedure', 'resented'}, {'contin', 'particu', 'cedure'}, {'vances', 'quence', 'cedure'}, {'vances', 'particu', 'cedure'}, {'particu', 'cedure', 'postdoctoral'}, {'particu', 'cedure', 'resented'}, {'particu', 'cedure', 'stressed'}, {'particu', 'quence', 'cedure'}, {'sible', 'particu', 'cedure'}, {'particu', 'cedure', 'respec'}, {'particu', 'cedure', 'tained'}, {'vances', 'sible', 'cedure'}, {'vances', 'concludes', 'exert'}, {'contin', 'vances', 'concludes'}, {'vances', 'particu', 'concludes'}, {'vances', 'fined', 'particu'}, {'vances', 'ichi', 'exert'}, {'vances', 'varieties', 'exert'}, {'vances', 'exert', 'postdoctoral'}, {'sible', 'exert', 'postdoctoral'}, {'vances', 'exert', 'resented'}, {'vances', 'exert', 'stressed'}, {'vances', 'exert', 'istic'}, {'vances', 'interfere', 'exert'}, {'particu', 'exert', 'interfere'}, {'vances', 'quence', 'exert'}, {'particu', 'varieties', 'exert'}, {'vances', 'particu', 'exert'}, {'particu', 'exert', 'postdoctoral'}, {'particu', 'exert', 'resented'}, {'particu', 'exert', 'stressed'}, {'sible', 'particu', 'exert'}, {'vances', 'sible', 'exert'}, {'vances', 'ities', 'exert'}, {'vances', 'invaluable', 'postdoctoral'}, {'vances', 'invaluable', 'resented'}, {'vances', 'invaluable', 'stressed'}, {'vances', 'particu', 'invaluable'}, {'particu', 'invaluable', 'postdoctoral'}, {'particu', 'invaluable', 'resented'}, {'particu', 'invaluable', 'stressed'}, {'sible', 'particu', 'invaluable'}, {'vances', 'invaluable', 'sible'}, {'vances', 'plied', 'postdoctoral'}, {'vances', 'particu', 'ner'}, {'particu', 'ner', 'resented'}, {'contin', 'vances', 'ichi'}, {'contin', 'particu', 'ichi'}, {'contin', 'vances', 'varieties'}, {'contin', 'vances', 'postdoctoral'}, {'contin', 'postdoctoral', 'resented'}, {'contin', 'sible', 'postdoctoral'}, {'contin', 'spectively', 'resented'}, {'contin', 'vances', 'resented'}, {'contin', 'stressed', 'resented'}, {'contin', 'sible', 'resented'}, {'contin', 'dictates', 'vances'}, {'contin', 'vances', 'stressed'}, {'contin', 'mech', 'vances'}, {'contin', 'mech', 'particu'}, {'contin', 'vances', 'istic'}, {'contin', 'particu', 'istic'}, {'contin', 'particu', 'genera'}, {'contin', 'vances', 'suspect'}, {'contin', 'interfere', 'vances'}, {'contin', 'interfere', 'resented'}, {'contin', 'particu', 'interfere'}, {'contin', 'vances', 'exert'}, {'contin', 'exert', 'postdoctoral'}, {'contin', 'exert', 'stressed'}, {'contin', 'particu', 'exert'}, {'contin', 'sible', 'exert'}, {'contin', 'invaluable', 'vances'}, {'contin', 'particu', 'invaluable'}, {'contin', 'ticular', 'vances'}, {'contin', 'vances', 'plied'}, {'contin', 'vances', 'quence'}, {'contin', 'particu', 'spectively'}, {'contin', 'particu', 'varieties'}, {'contin', 'particu', 'vances'}, {'contin', 'particu', 'postdoctoral'}, {'contin', 'particu', 'puting'}, {'contin', 'particu', 'resented'}, {'contin', 'particu', 'stressed'}, {'contin', 'particu', 'suspect'}, {'contin', 'particu', 'ticular'}, {'contin', 'particu', 'quence'}, {'contin', 'particu', 'sible'}, {'contin', 'particu', 'respec'}, {'contin', 'particu', 'tained'}, {'contin', 'sible', 'vances'}, {'contin', 'sible', 'stressed'}, {'contin', 'vances', 'tained'}, {'vances', 'varieties', 'quence'}, {'vances', 'quence', 'resented'}, {'vances', 'quence', 'stressed'}, {'vances', 'sible', 'quence'}, {'vances', 'particu', 'tered'}, {'particu', 'spectively', 'stressed'}, {'vances', 'particu', 'varieties'}, {'vances', 'particu', 'postdoctoral'}, {'particu', 'postdoctoral', 'resented'}, {'stressed', 'particu', 'postdoctoral'}, {'particu', 'quence', 'postdoctoral'}, {'sible', 'particu', 'postdoctoral'}, {'vances', 'particu', 'puting'}, {'particu', 'puting', 'resented'}, {'particu', 'spectively', 'resented'}, {'particu', 'varieties', 'resented'}, {'vances', 'particu', 'resented'}, {'stressed', 'particu', 'resented'}, {'ticular', 'particu', 'resented'}, {'sible', 'particu', 'resented'}, {'particu', 'respec', 'resented'}, {'particu', 'tained', 'resented'}, {'vances', 'particu', 'teukolsky'}, {'particu', 'varieties', 'stressed'}, {'vances', 'particu', 'stressed'}, {'particu', 'tained', 'stressed'}, {'vances', 'particu', 'suspect'}, {'vances', 'particu', 'ticular'}, {'vances', 'particu', 'quence'}, {'particu', 'quence', 'resented'}, {'sible', 'particu', 'quence'}, {'sible', 'particu', 'varieties'}, {'vances', 'particu', 'sible'}, {'sible', 'particu', 'stressed'}, {'sible', 'particu', 'ticular'}, {'sible', 'particu', 'tained'}, {'vances', 'particu', 'tained'}, {'vances', 'sible', 'varieties'}, {'vances', 'sible', 'stressed'}, {'vances', 'ticular', 'sible'}, {'vances', 'sible', 'tained'}, {'vances', 'particu', 'ities'}, {'vances', 'particu', 'ichi', 'interfere'}, {'vances', 'particu', 'ichi', 'varieties'}, {'vances', 'particu', 'ichi', 'postdoctoral'}, {'vances', 'particu', 'ichi', 'resented'}, {'vances', 'particu', 'ichi', 'stressed'}, {'vances', 'particu', 'ichi', 'sible'}, {'vances', 'sible', 'postdoctoral', 'resented'}, {'vances', 'sible', 'quence', 'postdoctoral'}, {'vances', 'sible', 'postdoctoral', 'stressed'}, {'vances', 'sible', 'stressed', 'resented'}, {'contin', 'particu', 'vances', 'anism'}, {'contin', 'particu', 'anism', 'resented'}, {'vances', 'mech', 'particu', 'sible'}, {'sible', 'particu', 'vances', 'istic'}, {'vances', 'particu', 'varieties', 'interfere'}, {'vances', 'particu', 'interfere', 'postdoctoral'}, {'vances', 'particu', 'interfere', 'resented'}, {'vances', 'particu', 'interfere', 'stressed'}, {'vances', 'sible', 'particu', 'interfere'}, {'vances', 'particu', 'cedure', 'resented'}, {'particu', 'cedure', 'respec', 'resented'}, {'vances', 'particu', 'exert', 'interfere'}, {'vances', 'particu', 'varieties', 'exert'}, {'vances', 'particu', 'exert', 'postdoctoral'}, {'vances', 'particu', 'exert', 'resented'}, {'vances', 'particu', 'exert', 'sible'}, {'contin', 'particu', 'ichi', 'vances'}, {'contin', 'sible', 'vances', 'postdoctoral'}, {'contin', 'sible', 'vances', 'resented'}, {'contin', 'mech', 'vances', 'particu'}, {'contin', 'particu', 'vances', 'interfere'}, {'contin', 'particu', 'vances', 'exert'}, {'contin', 'particu', 'varieties', 'vances'}, {'contin', 'particu', 'vances', 'postdoctoral'}, {'contin', 'particu', 'vances', 'resented'}, {'contin', 'particu', 'stressed', 'resented'}, {'contin', 'particu', 'sible', 'resented'}, {'contin', 'particu', 'vances', 'stressed'}, {'contin', 'particu', 'vances', 'suspect'}, {'contin', 'particu', 'vances', 'ticular'}, {'contin', 'particu', 'vances', 'quence'}, {'contin', 'particu', 'vances', 'sible'}, {'contin', 'particu', 'vances', 'tained'}, {'contin', 'sible', 'vances', 'stressed'}, {'vances', 'particu', 'postdoctoral', 'resented'}, {'vances', 'particu', 'stressed', 'postdoctoral'}, {'vances', 'particu', 'sible', 'postdoctoral'}, {'vances', 'particu', 'stressed', 'resented'}, {'vances', 'particu', 'sible', 'resented'}, {'vances', 'particu', 'quence', 'resented'}, {'vances', 'particu', 'varieties', 'sible'}, {'vances', 'particu', 'sible', 'stressed'}]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K= 10\n",
      "Runtime is :17.169417142868042 seconds\n",
      "The Frequent sets are:\n",
      "[{'ken'}, {'kybernetik'}, {'mitsuo'}, {'netic'}, {'erated'}, {'explo'}, {'discus'}, {'deutsche'}, {'duces'}, {'ichi'}, {'flavor'}, {'tered'}, {'spectively'}, {'slowed'}, {'vetterling'}, {'varieties'}, {'tude'}, {'vances'}, {'prac'}, {'pled'}, {'postdoctoral'}, {'neuromimetic'}, {'opposing'}, {'racy'}, {'quan'}, {'puting'}, {'pursuing'}, {'resented'}, {'crete'}, {'aro'}, {'assembled'}, {'anism'}, {'acquires'}, {'transport'}, {'tual'}, {'crucially'}, {'weigh'}, {'warrant'}, {'vides'}, {'ied'}, {'finished'}, {'creases'}, {'advocated'}, {'investigates'}, {'naftali'}, {'ric'}, {'regu'}, {'barely'}, {'ccr'}, {'sara'}, {'biolog'}, {'numer'}, {'quarterly'}, {'pute'}, {'symp'}, {'sured'}, {'ior'}, {'tistical'}, {'jeff'}, {'tedious'}, {'assisted'}, {'strate'}, {'dictates'}, {'documented'}, {'dirac'}, {'sional'}, {'deviate'}, {'intriguing'}, {'gan'}, {'structed'}, {'ported'}, {'tremendous'}, {'flannery'}, {'shut'}, {'teukolsky'}, {'sider'}, {'stressed'}, {'contrasted'}, {'dozen'}, {'education'}, {'mech'}, {'istic'}, {'badly'}, {'ule'}, {'observational'}, {'clarendon'}, {'itive'}, {'plete'}, {'acteristic'}, {'genera'}, {'neuronlike'}, {'cording'}, {'tering'}, {'danger'}, {'increas'}, {'manage'}, {'cri'}, {'suspect'}, {'redwood'}, {'tie'}, {'derlying'}, {'yorktown'}, {'fax'}, {'identi'}, {'accelerated'}, {'accomplishes'}, {'interfere'}, {'oped'}, {'ijcai'}, {'maybe'}, {'spe'}, {'orlando'}, {'concentrating'}, {'lengthy'}, {'proximate'}, {'terminating'}, {'decade'}, {'cedure'}, {'resent'}, {'sive'}, {'knowl'}, {'zation'}, {'strated'}, {'doubled'}, {'parison'}, {'simi'}, {'concluding'}, {'concludes'}, {'funding'}, {'uous'}, {'terry'}, {'signif'}, {'focussed'}, {'recipes'}, {'wadsworth'}, {'formalize'}, {'invoked'}, {'fined'}, {'exert'}, {'cies'}, {'lihood'}, {'pervised'}, {'appeal'}, {'dation'}, {'indebted'}, {'prog'}, {'invaluable'}, {'cate'}, {'looked'}, {'tionist'}, {'sug'}, {'duced'}, {'iden'}, {'unrealistic'}, {'dan'}, {'ist'}, {'havior'}, {'ticular'}, {'erties'}, {'stud'}, {'plied'}, {'ner'}, {'tational'}, {'contin'}, {'quence'}, {'duce'}, {'trivially'}, {'justifies'}, {'particu'}, {'sible'}, {'charac'}, {'ting'}, {'mented'}, {'lacking'}, {'simu'}, {'univer'}, {'cient'}, {'tant'}, {'spond'}, {'ages'}, {'presidential'}, {'burden'}, {'correspondingly'}, {'ministry'}, {'respec'}, {'versity'}, {'imum'}, {'ities'}, {'ample'}, {'rela'}, {'impor'}, {'putational'}, {'phil'}, {'sponsored'}, {'sult'}, {'fore'}, {'tained'}, {'ically'}, {'tain'}, {'compu'}, {'acknowledgement'}, {'vances', 'explo'}, {'explo', 'resented'}, {'explo', 'particu'}, {'ichi', 'spectively'}, {'ichi', 'varieties'}, {'vances', 'ichi'}, {'ichi', 'postdoctoral'}, {'ichi', 'puting'}, {'ichi', 'resented'}, {'ichi', 'stressed'}, {'ichi', 'istic'}, {'ichi', 'suspect'}, {'interfere', 'ichi'}, {'invaluable', 'ichi'}, {'ticular', 'ichi'}, {'plied', 'ichi'}, {'ichi', 'ner'}, {'ichi', 'quence'}, {'particu', 'ichi'}, {'sible', 'ichi'}, {'ities', 'ichi'}, {'ichi', 'tained'}, {'vances', 'tered'}, {'vances', 'spectively'}, {'spectively', 'stressed'}, {'vances', 'vetterling'}, {'vances', 'varieties'}, {'vances', 'weigh'}, {'vances', 'vides'}, {'vances', 'prac'}, {'prac', 'resented'}, {'varieties', 'postdoctoral'}, {'vances', 'postdoctoral'}, {'puting', 'postdoctoral'}, {'postdoctoral', 'resented'}, {'teukolsky', 'postdoctoral'}, {'stressed', 'postdoctoral'}, {'suspect', 'postdoctoral'}, {'tionist', 'postdoctoral'}, {'ticular', 'postdoctoral'}, {'quence', 'postdoctoral'}, {'sible', 'postdoctoral'}, {'putational', 'postdoctoral'}, {'tained', 'postdoctoral'}, {'spectively', 'puting'}, {'vances', 'puting'}, {'puting', 'resented'}, {'puting', 'stressed'}, {'ticular', 'puting'}, {'sible', 'puting'}, {'respec', 'puting'}, {'tered', 'resented'}, {'spectively', 'resented'}, {'varieties', 'resented'}, {'vances', 'resented'}, {'weigh', 'resented'}, {'symp', 'resented'}, {'teukolsky', 'resented'}, {'sider', 'resented'}, {'stressed', 'resented'}, {'suspect', 'resented'}, {'signif', 'resented'}, {'sug', 'resented'}, {'ticular', 'resented'}, {'sible', 'resented'}, {'respec', 'resented'}, {'tained', 'resented'}, {'vances', 'crete'}, {'plied', 'crete'}, {'ichi', 'anism'}, {'varieties', 'anism'}, {'vances', 'anism'}, {'postdoctoral', 'anism'}, {'anism', 'resented'}, {'stressed', 'anism'}, {'istic', 'anism'}, {'suspect', 'anism'}, {'interfere', 'anism'}, {'exert', 'anism'}, {'invaluable', 'anism'}, {'ticular', 'anism'}, {'contin', 'anism'}, {'quence', 'anism'}, {'particu', 'anism'}, {'sible', 'anism'}, {'respec', 'anism'}, {'tained', 'anism'}, {'vances', 'transport'}, {'vances', 'naftali'}, {'particu', 'naftali'}, {'biolog', 'resented'}, {'particu', 'biolog'}, {'vances', 'quarterly'}, {'vances', 'symp'}, {'vances', 'tistical'}, {'vances', 'jeff'}, {'jeff', 'postdoctoral'}, {'jeff', 'resented'}, {'jeff', 'stressed'}, {'particu', 'jeff'}, {'dictates', 'varieties'}, {'vances', 'dictates'}, {'dictates', 'postdoctoral'}, {'dictates', 'stressed'}, {'dictates', 'exert'}, {'dictates', 'particu'}, {'sible', 'dictates'}, {'vances', 'documented'}, {'particu', 'documented'}, {'vances', 'gan'}, {'gan', 'resented'}, {'particu', 'gan'}, {'vances', 'ported'}, {'vances', 'shut'}, {'vances', 'teukolsky'}, {'varieties', 'stressed'}, {'vances', 'stressed'}, {'weigh', 'stressed'}, {'teukolsky', 'stressed'}, {'suspect', 'stressed'}, {'ticular', 'stressed'}, {'tained', 'stressed'}, {'vances', 'education'}, {'education', 'postdoctoral'}, {'education', 'resented'}, {'education', 'stressed'}, {'interfere', 'education'}, {'exert', 'education'}, {'particu', 'education'}, {'sible', 'education'}, {'vances', 'mech'}, {'mech', 'postdoctoral'}, {'mech', 'resented'}, {'mech', 'stressed'}, {'plied', 'mech'}, {'mech', 'particu'}, {'sible', 'mech'}, {'mech', 'tained'}, {'varieties', 'istic'}, {'vances', 'istic'}, {'postdoctoral', 'istic'}, {'istic', 'resented'}, {'stressed', 'istic'}, {'suspect', 'istic'}, {'ticular', 'istic'}, {'particu', 'istic'}, {'sible', 'istic'}, {'tained', 'istic'}, {'varieties', 'genera'}, {'vances', 'genera'}, {'genera', 'resented'}, {'stressed', 'genera'}, {'particu', 'genera'}, {'sible', 'genera'}, {'vances', 'cording'}, {'particu', 'cording'}, {'vances', 'suspect'}, {'tained', 'suspect'}, {'vances', 'fax'}, {'fax', 'resented'}, {'particu', 'fax'}, {'interfere', 'varieties'}, {'vances', 'interfere'}, {'interfere', 'postdoctoral'}, {'interfere', 'puting'}, {'interfere', 'resented'}, {'interfere', 'stressed'}, {'mech', 'interfere'}, {'interfere', 'istic'}, {'interfere', 'suspect'}, {'invaluable', 'interfere'}, {'ticular', 'interfere'}, {'interfere', 'quence'}, {'particu', 'interfere'}, {'sible', 'interfere'}, {'interfere', 'respec'}, {'interfere', 'tained'}, {'vances', 'proximate'}, {'proximate', 'resented'}, {'ichi', 'cedure'}, {'varieties', 'cedure'}, {'vances', 'cedure'}, {'cedure', 'postdoctoral'}, {'cedure', 'resented'}, {'cedure', 'stressed'}, {'interfere', 'cedure'}, {'exert', 'cedure'}, {'invaluable', 'cedure'}, {'cedure', 'ner'}, {'contin', 'cedure'}, {'quence', 'cedure'}, {'particu', 'cedure'}, {'sible', 'cedure'}, {'cedure', 'respec'}, {'cedure', 'tained'}, {'vances', 'concluding'}, {'particu', 'concluding'}, {'vances', 'concludes'}, {'concludes', 'postdoctoral'}, {'interfere', 'concludes'}, {'concludes', 'exert'}, {'contin', 'concludes'}, {'particu', 'concludes'}, {'sible', 'concludes'}, {'signif', 'vances'}, {'vances', 'fined'}, {'fined', 'particu'}, {'ichi', 'exert'}, {'varieties', 'exert'}, {'vances', 'exert'}, {'exert', 'postdoctoral'}, {'exert', 'resented'}, {'exert', 'stressed'}, {'mech', 'exert'}, {'exert', 'istic'}, {'exert', 'suspect'}, {'interfere', 'exert'}, {'fined', 'exert'}, {'invaluable', 'exert'}, {'ticular', 'exert'}, {'plied', 'exert'}, {'quence', 'exert'}, {'particu', 'exert'}, {'sible', 'exert'}, {'ities', 'exert'}, {'exert', 'tained'}, {'vances', 'appeal'}, {'particu', 'appeal'}, {'vances', 'prog'}, {'prog', 'resented'}, {'vances', 'invaluable'}, {'invaluable', 'postdoctoral'}, {'invaluable', 'resented'}, {'invaluable', 'stressed'}, {'particu', 'invaluable'}, {'sible', 'invaluable'}, {'vances', 'sug'}, {'ticular', 'varieties'}, {'vances', 'ticular'}, {'vances', 'plied'}, {'plied', 'postdoctoral'}, {'plied', 'stressed'}, {'plied', 'sible'}, {'vances', 'ner'}, {'ner', 'resented'}, {'particu', 'ner'}, {'contin', 'ichi'}, {'contin', 'spectively'}, {'contin', 'varieties'}, {'contin', 'vances'}, {'contin', 'postdoctoral'}, {'contin', 'puting'}, {'contin', 'resented'}, {'contin', 'dictates'}, {'contin', 'teukolsky'}, {'contin', 'stressed'}, {'contin', 'mech'}, {'contin', 'istic'}, {'contin', 'genera'}, {'contin', 'cording'}, {'contin', 'suspect'}, {'contin', 'interfere'}, {'contin', 'exert'}, {'contin', 'invaluable'}, {'contin', 'ticular'}, {'contin', 'plied'}, {'contin', 'quence'}, {'contin', 'particu'}, {'contin', 'sible'}, {'contin', 'respec'}, {'contin', 'ities'}, {'contin', 'tained'}, {'varieties', 'quence'}, {'vances', 'quence'}, {'quence', 'resented'}, {'quence', 'stressed'}, {'sible', 'quence'}, {'particu', 'duce'}, {'particu', 'tered'}, {'particu', 'spectively'}, {'particu', 'varieties'}, {'vances', 'particu'}, {'particu', 'postdoctoral'}, {'particu', 'puting'}, {'particu', 'resented'}, {'particu', 'weigh'}, {'particu', 'symp'}, {'particu', 'teukolsky'}, {'particu', 'stressed'}, {'particu', 'suspect'}, {'signif', 'particu'}, {'particu', 'prog'}, {'particu', 'sug'}, {'ticular', 'particu'}, {'plied', 'particu'}, {'particu', 'quence'}, {'sible', 'particu'}, {'tant', 'particu'}, {'particu', 'respec'}, {'particu', 'rela'}, {'putational', 'particu'}, {'particu', 'tained'}, {'sible', 'varieties'}, {'vances', 'sible'}, {'sible', 'teukolsky'}, {'sible', 'stressed'}, {'sible', 'suspect'}, {'ticular', 'sible'}, {'sible', 'tained'}, {'vances', 'respec'}, {'vances', 'ities'}, {'particu', 'ities'}, {'sible', 'ities'}, {'vances', 'rela'}, {'vances', 'tained'}, {'vances', 'ichi', 'varieties'}, {'vances', 'ichi', 'postdoctoral'}, {'vances', 'ichi', 'resented'}, {'vances', 'ichi', 'stressed'}, {'vances', 'ichi', 'istic'}, {'particu', 'ichi', 'istic'}, {'vances', 'interfere', 'ichi'}, {'particu', 'ichi', 'interfere'}, {'sible', 'ichi', 'interfere'}, {'vances', 'invaluable', 'ichi'}, {'particu', 'ichi', 'invaluable'}, {'vances', 'ticular', 'ichi'}, {'vances', 'ichi', 'quence'}, {'particu', 'ichi', 'varieties'}, {'vances', 'particu', 'ichi'}, {'particu', 'ichi', 'postdoctoral'}, {'particu', 'ichi', 'resented'}, {'particu', 'ichi', 'stressed'}, {'ticular', 'particu', 'ichi'}, {'sible', 'particu', 'ichi'}, {'particu', 'ichi', 'tained'}, {'vances', 'sible', 'ichi'}, {'vances', 'varieties', 'postdoctoral'}, {'vances', 'postdoctoral', 'resented'}, {'sible', 'postdoctoral', 'resented'}, {'vances', 'stressed', 'postdoctoral'}, {'stressed', 'suspect', 'postdoctoral'}, {'vances', 'suspect', 'postdoctoral'}, {'vances', 'ticular', 'postdoctoral'}, {'vances', 'quence', 'postdoctoral'}, {'postdoctoral', 'quence', 'resented'}, {'sible', 'quence', 'postdoctoral'}, {'vances', 'sible', 'postdoctoral'}, {'sible', 'postdoctoral', 'stressed'}, {'vances', 'tained', 'postdoctoral'}, {'spectively', 'puting', 'resented'}, {'vances', 'puting', 'resented'}, {'stressed', 'puting', 'resented'}, {'vances', 'puting', 'stressed'}, {'vances', 'spectively', 'resented'}, {'stressed', 'spectively', 'resented'}, {'vances', 'varieties', 'resented'}, {'stressed', 'varieties', 'resented'}, {'vances', 'stressed', 'resented'}, {'stressed', 'tained', 'resented'}, {'vances', 'suspect', 'resented'}, {'vances', 'ticular', 'resented'}, {'sible', 'spectively', 'resented'}, {'sible', 'varieties', 'resented'}, {'vances', 'sible', 'resented'}, {'stressed', 'sible', 'resented'}, {'ticular', 'sible', 'resented'}, {'sible', 'tained', 'resented'}, {'vances', 'respec', 'resented'}, {'stressed', 'respec', 'resented'}, {'vances', 'tained', 'resented'}, {'vances', 'varieties', 'anism'}, {'vances', 'postdoctoral', 'anism'}, {'vances', 'anism', 'resented'}, {'sible', 'anism', 'resented'}, {'vances', 'stressed', 'anism'}, {'vances', 'suspect', 'anism'}, {'vances', 'interfere', 'anism'}, {'particu', 'interfere', 'anism'}, {'vances', 'exert', 'anism'}, {'contin', 'vances', 'anism'}, {'contin', 'postdoctoral', 'anism'}, {'contin', 'anism', 'resented'}, {'contin', 'particu', 'anism'}, {'vances', 'particu', 'anism'}, {'particu', 'anism', 'resented'}, {'stressed', 'particu', 'anism'}, {'sible', 'particu', 'anism'}, {'vances', 'sible', 'anism'}, {'particu', 'biolog', 'resented'}, {'vances', 'particu', 'jeff'}, {'vances', 'dictates', 'varieties'}, {'vances', 'dictates', 'postdoctoral'}, {'vances', 'dictates', 'stressed'}, {'vances', 'dictates', 'exert'}, {'vances', 'dictates', 'particu'}, {'vances', 'varieties', 'stressed'}, {'vances', 'suspect', 'stressed'}, {'vances', 'ticular', 'stressed'}, {'vances', 'tained', 'stressed'}, {'vances', 'particu', 'education'}, {'particu', 'education', 'resented'}, {'sible', 'particu', 'education'}, {'vances', 'sible', 'education'}, {'vances', 'mech', 'postdoctoral'}, {'vances', 'mech', 'resented'}, {'vances', 'mech', 'stressed'}, {'vances', 'mech', 'particu'}, {'mech', 'particu', 'postdoctoral'}, {'mech', 'particu', 'resented'}, {'mech', 'particu', 'stressed'}, {'sible', 'mech', 'particu'}, {'vances', 'mech', 'sible'}, {'vances', 'postdoctoral', 'istic'}, {'vances', 'stressed', 'istic'}, {'vances', 'particu', 'istic'}, {'particu', 'postdoctoral', 'istic'}, {'particu', 'istic', 'resented'}, {'stressed', 'particu', 'istic'}, {'sible', 'particu', 'istic'}, {'particu', 'tained', 'istic'}, {'vances', 'sible', 'istic'}, {'vances', 'particu', 'genera'}, {'particu', 'genera', 'resented'}, {'sible', 'particu', 'genera'}, {'vances', 'particu', 'cording'}, {'vances', 'interfere', 'varieties'}, {'vances', 'interfere', 'postdoctoral'}, {'sible', 'interfere', 'postdoctoral'}, {'vances', 'interfere', 'resented'}, {'vances', 'interfere', 'stressed'}, {'vances', 'interfere', 'quence'}, {'particu', 'varieties', 'interfere'}, {'vances', 'particu', 'interfere'}, {'particu', 'interfere', 'postdoctoral'}, {'particu', 'interfere', 'resented'}, {'particu', 'interfere', 'stressed'}, {'particu', 'quence', 'interfere'}, {'sible', 'particu', 'interfere'}, {'particu', 'respec', 'interfere'}, {'particu', 'tained', 'interfere'}, {'vances', 'sible', 'interfere'}, {'vances', 'varieties', 'cedure'}, {'vances', 'cedure', 'postdoctoral'}, {'vances', 'cedure', 'resented'}, {'cedure', 'respec', 'resented'}, {'vances', 'cedure', 'stressed'}, {'vances', 'interfere', 'cedure'}, {'particu', 'cedure', 'interfere'}, {'vances', 'exert', 'cedure'}, {'contin', 'vances', 'cedure'}, {'contin', 'cedure', 'resented'}, {'contin', 'particu', 'cedure'}, {'vances', 'quence', 'cedure'}, {'vances', 'particu', 'cedure'}, {'particu', 'cedure', 'postdoctoral'}, {'particu', 'cedure', 'resented'}, {'particu', 'cedure', 'stressed'}, {'particu', 'quence', 'cedure'}, {'sible', 'particu', 'cedure'}, {'particu', 'cedure', 'respec'}, {'particu', 'cedure', 'tained'}, {'vances', 'sible', 'cedure'}, {'vances', 'concludes', 'exert'}, {'contin', 'vances', 'concludes'}, {'vances', 'particu', 'concludes'}, {'vances', 'fined', 'particu'}, {'vances', 'ichi', 'exert'}, {'vances', 'varieties', 'exert'}, {'vances', 'exert', 'postdoctoral'}, {'sible', 'exert', 'postdoctoral'}, {'vances', 'exert', 'resented'}, {'vances', 'exert', 'stressed'}, {'vances', 'exert', 'istic'}, {'vances', 'interfere', 'exert'}, {'particu', 'exert', 'interfere'}, {'vances', 'quence', 'exert'}, {'particu', 'varieties', 'exert'}, {'vances', 'particu', 'exert'}, {'particu', 'exert', 'postdoctoral'}, {'particu', 'exert', 'resented'}, {'particu', 'exert', 'stressed'}, {'sible', 'particu', 'exert'}, {'vances', 'sible', 'exert'}, {'vances', 'ities', 'exert'}, {'vances', 'invaluable', 'postdoctoral'}, {'vances', 'invaluable', 'resented'}, {'vances', 'invaluable', 'stressed'}, {'vances', 'particu', 'invaluable'}, {'particu', 'invaluable', 'postdoctoral'}, {'particu', 'invaluable', 'resented'}, {'particu', 'invaluable', 'stressed'}, {'sible', 'particu', 'invaluable'}, {'vances', 'invaluable', 'sible'}, {'vances', 'plied', 'postdoctoral'}, {'vances', 'particu', 'ner'}, {'particu', 'ner', 'resented'}, {'contin', 'vances', 'ichi'}, {'contin', 'particu', 'ichi'}, {'contin', 'vances', 'varieties'}, {'contin', 'vances', 'postdoctoral'}, {'contin', 'postdoctoral', 'resented'}, {'contin', 'sible', 'postdoctoral'}, {'contin', 'spectively', 'resented'}, {'contin', 'vances', 'resented'}, {'contin', 'stressed', 'resented'}, {'contin', 'sible', 'resented'}, {'contin', 'dictates', 'vances'}, {'contin', 'vances', 'stressed'}, {'contin', 'mech', 'vances'}, {'contin', 'mech', 'particu'}, {'contin', 'vances', 'istic'}, {'contin', 'particu', 'istic'}, {'contin', 'particu', 'genera'}, {'contin', 'vances', 'suspect'}, {'contin', 'interfere', 'vances'}, {'contin', 'interfere', 'resented'}, {'contin', 'particu', 'interfere'}, {'contin', 'vances', 'exert'}, {'contin', 'exert', 'postdoctoral'}, {'contin', 'exert', 'stressed'}, {'contin', 'particu', 'exert'}, {'contin', 'sible', 'exert'}, {'contin', 'invaluable', 'vances'}, {'contin', 'particu', 'invaluable'}, {'contin', 'ticular', 'vances'}, {'contin', 'vances', 'plied'}, {'contin', 'vances', 'quence'}, {'contin', 'particu', 'spectively'}, {'contin', 'particu', 'varieties'}, {'contin', 'particu', 'vances'}, {'contin', 'particu', 'postdoctoral'}, {'contin', 'particu', 'puting'}, {'contin', 'particu', 'resented'}, {'contin', 'particu', 'stressed'}, {'contin', 'particu', 'suspect'}, {'contin', 'particu', 'ticular'}, {'contin', 'particu', 'quence'}, {'contin', 'particu', 'sible'}, {'contin', 'particu', 'respec'}, {'contin', 'particu', 'tained'}, {'contin', 'sible', 'vances'}, {'contin', 'sible', 'stressed'}, {'contin', 'vances', 'tained'}, {'vances', 'varieties', 'quence'}, {'vances', 'quence', 'resented'}, {'vances', 'quence', 'stressed'}, {'vances', 'sible', 'quence'}, {'vances', 'particu', 'tered'}, {'particu', 'spectively', 'stressed'}, {'vances', 'particu', 'varieties'}, {'vances', 'particu', 'postdoctoral'}, {'particu', 'postdoctoral', 'resented'}, {'stressed', 'particu', 'postdoctoral'}, {'particu', 'quence', 'postdoctoral'}, {'sible', 'particu', 'postdoctoral'}, {'vances', 'particu', 'puting'}, {'particu', 'puting', 'resented'}, {'particu', 'spectively', 'resented'}, {'particu', 'varieties', 'resented'}, {'vances', 'particu', 'resented'}, {'stressed', 'particu', 'resented'}, {'ticular', 'particu', 'resented'}, {'sible', 'particu', 'resented'}, {'particu', 'respec', 'resented'}, {'particu', 'tained', 'resented'}, {'vances', 'particu', 'teukolsky'}, {'particu', 'varieties', 'stressed'}, {'vances', 'particu', 'stressed'}, {'particu', 'tained', 'stressed'}, {'vances', 'particu', 'suspect'}, {'vances', 'particu', 'ticular'}, {'vances', 'particu', 'quence'}, {'particu', 'quence', 'resented'}, {'sible', 'particu', 'quence'}, {'sible', 'particu', 'varieties'}, {'vances', 'particu', 'sible'}, {'sible', 'particu', 'stressed'}, {'sible', 'particu', 'ticular'}, {'sible', 'particu', 'tained'}, {'vances', 'particu', 'tained'}, {'vances', 'sible', 'varieties'}, {'vances', 'sible', 'stressed'}, {'vances', 'ticular', 'sible'}, {'vances', 'sible', 'tained'}, {'vances', 'particu', 'ities'}, {'vances', 'particu', 'ichi', 'interfere'}, {'vances', 'particu', 'ichi', 'varieties'}, {'vances', 'particu', 'ichi', 'postdoctoral'}, {'vances', 'particu', 'ichi', 'resented'}, {'vances', 'particu', 'ichi', 'stressed'}, {'vances', 'particu', 'ichi', 'sible'}, {'vances', 'sible', 'postdoctoral', 'resented'}, {'vances', 'sible', 'quence', 'postdoctoral'}, {'vances', 'sible', 'postdoctoral', 'stressed'}, {'vances', 'sible', 'stressed', 'resented'}, {'contin', 'particu', 'vances', 'anism'}, {'contin', 'particu', 'anism', 'resented'}, {'vances', 'mech', 'particu', 'sible'}, {'sible', 'particu', 'vances', 'istic'}, {'vances', 'particu', 'varieties', 'interfere'}, {'vances', 'particu', 'interfere', 'postdoctoral'}, {'vances', 'particu', 'interfere', 'resented'}, {'vances', 'particu', 'interfere', 'stressed'}, {'vances', 'sible', 'particu', 'interfere'}, {'vances', 'particu', 'cedure', 'resented'}, {'particu', 'cedure', 'respec', 'resented'}, {'vances', 'particu', 'exert', 'interfere'}, {'vances', 'particu', 'varieties', 'exert'}, {'vances', 'particu', 'exert', 'postdoctoral'}, {'vances', 'particu', 'exert', 'resented'}, {'vances', 'particu', 'exert', 'sible'}, {'contin', 'particu', 'ichi', 'vances'}, {'contin', 'sible', 'vances', 'postdoctoral'}, {'contin', 'sible', 'vances', 'resented'}, {'contin', 'mech', 'vances', 'particu'}, {'contin', 'particu', 'vances', 'interfere'}, {'contin', 'particu', 'vances', 'exert'}, {'contin', 'particu', 'varieties', 'vances'}, {'contin', 'particu', 'vances', 'postdoctoral'}, {'contin', 'particu', 'vances', 'resented'}, {'contin', 'particu', 'stressed', 'resented'}, {'contin', 'particu', 'sible', 'resented'}, {'contin', 'particu', 'vances', 'stressed'}, {'contin', 'particu', 'vances', 'suspect'}, {'contin', 'particu', 'vances', 'ticular'}, {'contin', 'particu', 'vances', 'quence'}, {'contin', 'particu', 'vances', 'sible'}, {'contin', 'particu', 'vances', 'tained'}, {'contin', 'sible', 'vances', 'stressed'}, {'vances', 'particu', 'postdoctoral', 'resented'}, {'vances', 'particu', 'stressed', 'postdoctoral'}, {'vances', 'particu', 'sible', 'postdoctoral'}, {'vances', 'particu', 'stressed', 'resented'}, {'vances', 'particu', 'sible', 'resented'}, {'vances', 'particu', 'quence', 'resented'}, {'vances', 'particu', 'varieties', 'sible'}, {'vances', 'particu', 'sible', 'stressed'}]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K= 10\n",
      "Runtime is :17.121079444885254 seconds\n",
      "The Frequent sets are:\n",
      "[{'ken'}, {'kybernetik'}, {'mitsuo'}, {'netic'}, {'erated'}, {'explo'}, {'discus'}, {'deutsche'}, {'duces'}, {'ichi'}, {'flavor'}, {'tered'}, {'spectively'}, {'slowed'}, {'vetterling'}, {'varieties'}, {'tude'}, {'vances'}, {'prac'}, {'pled'}, {'postdoctoral'}, {'neuromimetic'}, {'opposing'}, {'racy'}, {'quan'}, {'puting'}, {'pursuing'}, {'resented'}, {'crete'}, {'aro'}, {'assembled'}, {'anism'}, {'acquires'}, {'transport'}, {'tual'}, {'crucially'}, {'weigh'}, {'warrant'}, {'vides'}, {'ied'}, {'finished'}, {'creases'}, {'advocated'}, {'investigates'}, {'naftali'}, {'ric'}, {'regu'}, {'barely'}, {'ccr'}, {'sara'}, {'biolog'}, {'numer'}, {'quarterly'}, {'pute'}, {'symp'}, {'sured'}, {'ior'}, {'tistical'}, {'jeff'}, {'tedious'}, {'assisted'}, {'strate'}, {'dictates'}, {'documented'}, {'dirac'}, {'sional'}, {'deviate'}, {'intriguing'}, {'gan'}, {'structed'}, {'ported'}, {'tremendous'}, {'flannery'}, {'shut'}, {'teukolsky'}, {'sider'}, {'stressed'}, {'contrasted'}, {'dozen'}, {'education'}, {'mech'}, {'istic'}, {'badly'}, {'ule'}, {'observational'}, {'clarendon'}, {'itive'}, {'plete'}, {'acteristic'}, {'genera'}, {'neuronlike'}, {'cording'}, {'tering'}, {'danger'}, {'increas'}, {'manage'}, {'cri'}, {'suspect'}, {'redwood'}, {'tie'}, {'derlying'}, {'yorktown'}, {'fax'}, {'identi'}, {'accelerated'}, {'accomplishes'}, {'interfere'}, {'oped'}, {'ijcai'}, {'maybe'}, {'spe'}, {'orlando'}, {'concentrating'}, {'lengthy'}, {'proximate'}, {'terminating'}, {'decade'}, {'cedure'}, {'resent'}, {'sive'}, {'knowl'}, {'zation'}, {'strated'}, {'doubled'}, {'parison'}, {'simi'}, {'concluding'}, {'concludes'}, {'funding'}, {'uous'}, {'terry'}, {'signif'}, {'focussed'}, {'recipes'}, {'wadsworth'}, {'formalize'}, {'invoked'}, {'fined'}, {'exert'}, {'cies'}, {'lihood'}, {'pervised'}, {'appeal'}, {'dation'}, {'indebted'}, {'prog'}, {'invaluable'}, {'cate'}, {'looked'}, {'tionist'}, {'sug'}, {'duced'}, {'iden'}, {'unrealistic'}, {'dan'}, {'ist'}, {'havior'}, {'ticular'}, {'erties'}, {'stud'}, {'plied'}, {'ner'}, {'tational'}, {'contin'}, {'quence'}, {'duce'}, {'trivially'}, {'justifies'}, {'particu'}, {'sible'}, {'charac'}, {'ting'}, {'mented'}, {'lacking'}, {'simu'}, {'univer'}, {'cient'}, {'tant'}, {'spond'}, {'ages'}, {'presidential'}, {'burden'}, {'correspondingly'}, {'ministry'}, {'respec'}, {'versity'}, {'imum'}, {'ities'}, {'ample'}, {'rela'}, {'impor'}, {'putational'}, {'phil'}, {'sponsored'}, {'sult'}, {'fore'}, {'tained'}, {'ically'}, {'tain'}, {'compu'}, {'acknowledgement'}, {'vances', 'explo'}, {'explo', 'resented'}, {'explo', 'particu'}, {'ichi', 'spectively'}, {'ichi', 'varieties'}, {'vances', 'ichi'}, {'ichi', 'postdoctoral'}, {'ichi', 'puting'}, {'ichi', 'resented'}, {'ichi', 'stressed'}, {'ichi', 'istic'}, {'ichi', 'suspect'}, {'interfere', 'ichi'}, {'invaluable', 'ichi'}, {'ticular', 'ichi'}, {'plied', 'ichi'}, {'ichi', 'ner'}, {'ichi', 'quence'}, {'particu', 'ichi'}, {'sible', 'ichi'}, {'ities', 'ichi'}, {'ichi', 'tained'}, {'vances', 'tered'}, {'vances', 'spectively'}, {'spectively', 'stressed'}, {'vances', 'vetterling'}, {'vances', 'varieties'}, {'vances', 'weigh'}, {'vances', 'vides'}, {'vances', 'prac'}, {'prac', 'resented'}, {'varieties', 'postdoctoral'}, {'vances', 'postdoctoral'}, {'puting', 'postdoctoral'}, {'postdoctoral', 'resented'}, {'teukolsky', 'postdoctoral'}, {'stressed', 'postdoctoral'}, {'suspect', 'postdoctoral'}, {'tionist', 'postdoctoral'}, {'ticular', 'postdoctoral'}, {'quence', 'postdoctoral'}, {'sible', 'postdoctoral'}, {'putational', 'postdoctoral'}, {'tained', 'postdoctoral'}, {'spectively', 'puting'}, {'vances', 'puting'}, {'puting', 'resented'}, {'puting', 'stressed'}, {'ticular', 'puting'}, {'sible', 'puting'}, {'respec', 'puting'}, {'tered', 'resented'}, {'spectively', 'resented'}, {'varieties', 'resented'}, {'vances', 'resented'}, {'weigh', 'resented'}, {'symp', 'resented'}, {'teukolsky', 'resented'}, {'sider', 'resented'}, {'stressed', 'resented'}, {'suspect', 'resented'}, {'signif', 'resented'}, {'sug', 'resented'}, {'ticular', 'resented'}, {'sible', 'resented'}, {'respec', 'resented'}, {'tained', 'resented'}, {'vances', 'crete'}, {'plied', 'crete'}, {'ichi', 'anism'}, {'varieties', 'anism'}, {'vances', 'anism'}, {'postdoctoral', 'anism'}, {'anism', 'resented'}, {'stressed', 'anism'}, {'istic', 'anism'}, {'suspect', 'anism'}, {'interfere', 'anism'}, {'exert', 'anism'}, {'invaluable', 'anism'}, {'ticular', 'anism'}, {'contin', 'anism'}, {'quence', 'anism'}, {'particu', 'anism'}, {'sible', 'anism'}, {'respec', 'anism'}, {'tained', 'anism'}, {'vances', 'transport'}, {'vances', 'naftali'}, {'particu', 'naftali'}, {'biolog', 'resented'}, {'particu', 'biolog'}, {'vances', 'quarterly'}, {'vances', 'symp'}, {'vances', 'tistical'}, {'vances', 'jeff'}, {'jeff', 'postdoctoral'}, {'jeff', 'resented'}, {'jeff', 'stressed'}, {'particu', 'jeff'}, {'dictates', 'varieties'}, {'vances', 'dictates'}, {'dictates', 'postdoctoral'}, {'dictates', 'stressed'}, {'dictates', 'exert'}, {'dictates', 'particu'}, {'sible', 'dictates'}, {'vances', 'documented'}, {'particu', 'documented'}, {'vances', 'gan'}, {'gan', 'resented'}, {'particu', 'gan'}, {'vances', 'ported'}, {'vances', 'shut'}, {'vances', 'teukolsky'}, {'varieties', 'stressed'}, {'vances', 'stressed'}, {'weigh', 'stressed'}, {'teukolsky', 'stressed'}, {'suspect', 'stressed'}, {'ticular', 'stressed'}, {'tained', 'stressed'}, {'vances', 'education'}, {'education', 'postdoctoral'}, {'education', 'resented'}, {'education', 'stressed'}, {'interfere', 'education'}, {'exert', 'education'}, {'particu', 'education'}, {'sible', 'education'}, {'vances', 'mech'}, {'mech', 'postdoctoral'}, {'mech', 'resented'}, {'mech', 'stressed'}, {'plied', 'mech'}, {'mech', 'particu'}, {'sible', 'mech'}, {'mech', 'tained'}, {'varieties', 'istic'}, {'vances', 'istic'}, {'postdoctoral', 'istic'}, {'istic', 'resented'}, {'stressed', 'istic'}, {'suspect', 'istic'}, {'ticular', 'istic'}, {'particu', 'istic'}, {'sible', 'istic'}, {'tained', 'istic'}, {'varieties', 'genera'}, {'vances', 'genera'}, {'genera', 'resented'}, {'stressed', 'genera'}, {'particu', 'genera'}, {'sible', 'genera'}, {'vances', 'cording'}, {'particu', 'cording'}, {'vances', 'suspect'}, {'tained', 'suspect'}, {'vances', 'fax'}, {'fax', 'resented'}, {'particu', 'fax'}, {'interfere', 'varieties'}, {'vances', 'interfere'}, {'interfere', 'postdoctoral'}, {'interfere', 'puting'}, {'interfere', 'resented'}, {'interfere', 'stressed'}, {'mech', 'interfere'}, {'interfere', 'istic'}, {'interfere', 'suspect'}, {'invaluable', 'interfere'}, {'ticular', 'interfere'}, {'interfere', 'quence'}, {'particu', 'interfere'}, {'sible', 'interfere'}, {'interfere', 'respec'}, {'interfere', 'tained'}, {'vances', 'proximate'}, {'proximate', 'resented'}, {'ichi', 'cedure'}, {'varieties', 'cedure'}, {'vances', 'cedure'}, {'cedure', 'postdoctoral'}, {'cedure', 'resented'}, {'cedure', 'stressed'}, {'interfere', 'cedure'}, {'exert', 'cedure'}, {'invaluable', 'cedure'}, {'cedure', 'ner'}, {'contin', 'cedure'}, {'quence', 'cedure'}, {'particu', 'cedure'}, {'sible', 'cedure'}, {'cedure', 'respec'}, {'cedure', 'tained'}, {'vances', 'concluding'}, {'particu', 'concluding'}, {'vances', 'concludes'}, {'concludes', 'postdoctoral'}, {'interfere', 'concludes'}, {'concludes', 'exert'}, {'contin', 'concludes'}, {'particu', 'concludes'}, {'sible', 'concludes'}, {'signif', 'vances'}, {'vances', 'fined'}, {'fined', 'particu'}, {'ichi', 'exert'}, {'varieties', 'exert'}, {'vances', 'exert'}, {'exert', 'postdoctoral'}, {'exert', 'resented'}, {'exert', 'stressed'}, {'mech', 'exert'}, {'exert', 'istic'}, {'exert', 'suspect'}, {'interfere', 'exert'}, {'fined', 'exert'}, {'invaluable', 'exert'}, {'ticular', 'exert'}, {'plied', 'exert'}, {'quence', 'exert'}, {'particu', 'exert'}, {'sible', 'exert'}, {'ities', 'exert'}, {'exert', 'tained'}, {'vances', 'appeal'}, {'particu', 'appeal'}, {'vances', 'prog'}, {'prog', 'resented'}, {'vances', 'invaluable'}, {'invaluable', 'postdoctoral'}, {'invaluable', 'resented'}, {'invaluable', 'stressed'}, {'particu', 'invaluable'}, {'sible', 'invaluable'}, {'vances', 'sug'}, {'ticular', 'varieties'}, {'vances', 'ticular'}, {'vances', 'plied'}, {'plied', 'postdoctoral'}, {'plied', 'stressed'}, {'plied', 'sible'}, {'vances', 'ner'}, {'ner', 'resented'}, {'particu', 'ner'}, {'contin', 'ichi'}, {'contin', 'spectively'}, {'contin', 'varieties'}, {'contin', 'vances'}, {'contin', 'postdoctoral'}, {'contin', 'puting'}, {'contin', 'resented'}, {'contin', 'dictates'}, {'contin', 'teukolsky'}, {'contin', 'stressed'}, {'contin', 'mech'}, {'contin', 'istic'}, {'contin', 'genera'}, {'contin', 'cording'}, {'contin', 'suspect'}, {'contin', 'interfere'}, {'contin', 'exert'}, {'contin', 'invaluable'}, {'contin', 'ticular'}, {'contin', 'plied'}, {'contin', 'quence'}, {'contin', 'particu'}, {'contin', 'sible'}, {'contin', 'respec'}, {'contin', 'ities'}, {'contin', 'tained'}, {'varieties', 'quence'}, {'vances', 'quence'}, {'quence', 'resented'}, {'quence', 'stressed'}, {'sible', 'quence'}, {'particu', 'duce'}, {'particu', 'tered'}, {'particu', 'spectively'}, {'particu', 'varieties'}, {'vances', 'particu'}, {'particu', 'postdoctoral'}, {'particu', 'puting'}, {'particu', 'resented'}, {'particu', 'weigh'}, {'particu', 'symp'}, {'particu', 'teukolsky'}, {'particu', 'stressed'}, {'particu', 'suspect'}, {'signif', 'particu'}, {'particu', 'prog'}, {'particu', 'sug'}, {'ticular', 'particu'}, {'plied', 'particu'}, {'particu', 'quence'}, {'sible', 'particu'}, {'tant', 'particu'}, {'particu', 'respec'}, {'particu', 'rela'}, {'putational', 'particu'}, {'particu', 'tained'}, {'sible', 'varieties'}, {'vances', 'sible'}, {'sible', 'teukolsky'}, {'sible', 'stressed'}, {'sible', 'suspect'}, {'ticular', 'sible'}, {'sible', 'tained'}, {'vances', 'respec'}, {'vances', 'ities'}, {'particu', 'ities'}, {'sible', 'ities'}, {'vances', 'rela'}, {'vances', 'tained'}, {'vances', 'ichi', 'varieties'}, {'vances', 'ichi', 'postdoctoral'}, {'vances', 'ichi', 'resented'}, {'vances', 'ichi', 'stressed'}, {'vances', 'ichi', 'istic'}, {'particu', 'ichi', 'istic'}, {'vances', 'interfere', 'ichi'}, {'particu', 'ichi', 'interfere'}, {'sible', 'ichi', 'interfere'}, {'vances', 'invaluable', 'ichi'}, {'particu', 'ichi', 'invaluable'}, {'vances', 'ticular', 'ichi'}, {'vances', 'ichi', 'quence'}, {'particu', 'ichi', 'varieties'}, {'vances', 'particu', 'ichi'}, {'particu', 'ichi', 'postdoctoral'}, {'particu', 'ichi', 'resented'}, {'particu', 'ichi', 'stressed'}, {'ticular', 'particu', 'ichi'}, {'sible', 'particu', 'ichi'}, {'particu', 'ichi', 'tained'}, {'vances', 'sible', 'ichi'}, {'vances', 'varieties', 'postdoctoral'}, {'vances', 'postdoctoral', 'resented'}, {'sible', 'postdoctoral', 'resented'}, {'vances', 'stressed', 'postdoctoral'}, {'stressed', 'suspect', 'postdoctoral'}, {'vances', 'suspect', 'postdoctoral'}, {'vances', 'ticular', 'postdoctoral'}, {'vances', 'quence', 'postdoctoral'}, {'postdoctoral', 'quence', 'resented'}, {'sible', 'quence', 'postdoctoral'}, {'vances', 'sible', 'postdoctoral'}, {'sible', 'postdoctoral', 'stressed'}, {'vances', 'tained', 'postdoctoral'}, {'spectively', 'puting', 'resented'}, {'vances', 'puting', 'resented'}, {'stressed', 'puting', 'resented'}, {'vances', 'puting', 'stressed'}, {'vances', 'spectively', 'resented'}, {'stressed', 'spectively', 'resented'}, {'vances', 'varieties', 'resented'}, {'stressed', 'varieties', 'resented'}, {'vances', 'stressed', 'resented'}, {'stressed', 'tained', 'resented'}, {'vances', 'suspect', 'resented'}, {'vances', 'ticular', 'resented'}, {'sible', 'spectively', 'resented'}, {'sible', 'varieties', 'resented'}, {'vances', 'sible', 'resented'}, {'stressed', 'sible', 'resented'}, {'ticular', 'sible', 'resented'}, {'sible', 'tained', 'resented'}, {'vances', 'respec', 'resented'}, {'stressed', 'respec', 'resented'}, {'vances', 'tained', 'resented'}, {'vances', 'varieties', 'anism'}, {'vances', 'postdoctoral', 'anism'}, {'vances', 'anism', 'resented'}, {'sible', 'anism', 'resented'}, {'vances', 'stressed', 'anism'}, {'vances', 'suspect', 'anism'}, {'vances', 'interfere', 'anism'}, {'particu', 'interfere', 'anism'}, {'vances', 'exert', 'anism'}, {'contin', 'vances', 'anism'}, {'contin', 'postdoctoral', 'anism'}, {'contin', 'anism', 'resented'}, {'contin', 'particu', 'anism'}, {'vances', 'particu', 'anism'}, {'particu', 'anism', 'resented'}, {'stressed', 'particu', 'anism'}, {'sible', 'particu', 'anism'}, {'vances', 'sible', 'anism'}, {'particu', 'biolog', 'resented'}, {'vances', 'particu', 'jeff'}, {'vances', 'dictates', 'varieties'}, {'vances', 'dictates', 'postdoctoral'}, {'vances', 'dictates', 'stressed'}, {'vances', 'dictates', 'exert'}, {'vances', 'dictates', 'particu'}, {'vances', 'varieties', 'stressed'}, {'vances', 'suspect', 'stressed'}, {'vances', 'ticular', 'stressed'}, {'vances', 'tained', 'stressed'}, {'vances', 'particu', 'education'}, {'particu', 'education', 'resented'}, {'sible', 'particu', 'education'}, {'vances', 'sible', 'education'}, {'vances', 'mech', 'postdoctoral'}, {'vances', 'mech', 'resented'}, {'vances', 'mech', 'stressed'}, {'vances', 'mech', 'particu'}, {'mech', 'particu', 'postdoctoral'}, {'mech', 'particu', 'resented'}, {'mech', 'particu', 'stressed'}, {'sible', 'mech', 'particu'}, {'vances', 'mech', 'sible'}, {'vances', 'postdoctoral', 'istic'}, {'vances', 'stressed', 'istic'}, {'vances', 'particu', 'istic'}, {'particu', 'postdoctoral', 'istic'}, {'particu', 'istic', 'resented'}, {'stressed', 'particu', 'istic'}, {'sible', 'particu', 'istic'}, {'particu', 'tained', 'istic'}, {'vances', 'sible', 'istic'}, {'vances', 'particu', 'genera'}, {'particu', 'genera', 'resented'}, {'sible', 'particu', 'genera'}, {'vances', 'particu', 'cording'}, {'vances', 'interfere', 'varieties'}, {'vances', 'interfere', 'postdoctoral'}, {'sible', 'interfere', 'postdoctoral'}, {'vances', 'interfere', 'resented'}, {'vances', 'interfere', 'stressed'}, {'vances', 'interfere', 'quence'}, {'particu', 'varieties', 'interfere'}, {'vances', 'particu', 'interfere'}, {'particu', 'interfere', 'postdoctoral'}, {'particu', 'interfere', 'resented'}, {'particu', 'interfere', 'stressed'}, {'particu', 'quence', 'interfere'}, {'sible', 'particu', 'interfere'}, {'particu', 'respec', 'interfere'}, {'particu', 'tained', 'interfere'}, {'vances', 'sible', 'interfere'}, {'vances', 'varieties', 'cedure'}, {'vances', 'cedure', 'postdoctoral'}, {'vances', 'cedure', 'resented'}, {'cedure', 'respec', 'resented'}, {'vances', 'cedure', 'stressed'}, {'vances', 'interfere', 'cedure'}, {'particu', 'cedure', 'interfere'}, {'vances', 'exert', 'cedure'}, {'contin', 'vances', 'cedure'}, {'contin', 'cedure', 'resented'}, {'contin', 'particu', 'cedure'}, {'vances', 'quence', 'cedure'}, {'vances', 'particu', 'cedure'}, {'particu', 'cedure', 'postdoctoral'}, {'particu', 'cedure', 'resented'}, {'particu', 'cedure', 'stressed'}, {'particu', 'quence', 'cedure'}, {'sible', 'particu', 'cedure'}, {'particu', 'cedure', 'respec'}, {'particu', 'cedure', 'tained'}, {'vances', 'sible', 'cedure'}, {'vances', 'concludes', 'exert'}, {'contin', 'vances', 'concludes'}, {'vances', 'particu', 'concludes'}, {'vances', 'fined', 'particu'}, {'vances', 'ichi', 'exert'}, {'vances', 'varieties', 'exert'}, {'vances', 'exert', 'postdoctoral'}, {'sible', 'exert', 'postdoctoral'}, {'vances', 'exert', 'resented'}, {'vances', 'exert', 'stressed'}, {'vances', 'exert', 'istic'}, {'vances', 'interfere', 'exert'}, {'particu', 'exert', 'interfere'}, {'vances', 'quence', 'exert'}, {'particu', 'varieties', 'exert'}, {'vances', 'particu', 'exert'}, {'particu', 'exert', 'postdoctoral'}, {'particu', 'exert', 'resented'}, {'particu', 'exert', 'stressed'}, {'sible', 'particu', 'exert'}, {'vances', 'sible', 'exert'}, {'vances', 'ities', 'exert'}, {'vances', 'invaluable', 'postdoctoral'}, {'vances', 'invaluable', 'resented'}, {'vances', 'invaluable', 'stressed'}, {'vances', 'particu', 'invaluable'}, {'particu', 'invaluable', 'postdoctoral'}, {'particu', 'invaluable', 'resented'}, {'particu', 'invaluable', 'stressed'}, {'sible', 'particu', 'invaluable'}, {'vances', 'invaluable', 'sible'}, {'vances', 'plied', 'postdoctoral'}, {'vances', 'particu', 'ner'}, {'particu', 'ner', 'resented'}, {'contin', 'vances', 'ichi'}, {'contin', 'particu', 'ichi'}, {'contin', 'vances', 'varieties'}, {'contin', 'vances', 'postdoctoral'}, {'contin', 'postdoctoral', 'resented'}, {'contin', 'sible', 'postdoctoral'}, {'contin', 'spectively', 'resented'}, {'contin', 'vances', 'resented'}, {'contin', 'stressed', 'resented'}, {'contin', 'sible', 'resented'}, {'contin', 'dictates', 'vances'}, {'contin', 'vances', 'stressed'}, {'contin', 'mech', 'vances'}, {'contin', 'mech', 'particu'}, {'contin', 'vances', 'istic'}, {'contin', 'particu', 'istic'}, {'contin', 'particu', 'genera'}, {'contin', 'vances', 'suspect'}, {'contin', 'interfere', 'vances'}, {'contin', 'interfere', 'resented'}, {'contin', 'particu', 'interfere'}, {'contin', 'vances', 'exert'}, {'contin', 'exert', 'postdoctoral'}, {'contin', 'exert', 'stressed'}, {'contin', 'particu', 'exert'}, {'contin', 'sible', 'exert'}, {'contin', 'invaluable', 'vances'}, {'contin', 'particu', 'invaluable'}, {'contin', 'ticular', 'vances'}, {'contin', 'vances', 'plied'}, {'contin', 'vances', 'quence'}, {'contin', 'particu', 'spectively'}, {'contin', 'particu', 'varieties'}, {'contin', 'particu', 'vances'}, {'contin', 'particu', 'postdoctoral'}, {'contin', 'particu', 'puting'}, {'contin', 'particu', 'resented'}, {'contin', 'particu', 'stressed'}, {'contin', 'particu', 'suspect'}, {'contin', 'particu', 'ticular'}, {'contin', 'particu', 'quence'}, {'contin', 'particu', 'sible'}, {'contin', 'particu', 'respec'}, {'contin', 'particu', 'tained'}, {'contin', 'sible', 'vances'}, {'contin', 'sible', 'stressed'}, {'contin', 'vances', 'tained'}, {'vances', 'varieties', 'quence'}, {'vances', 'quence', 'resented'}, {'vances', 'quence', 'stressed'}, {'vances', 'sible', 'quence'}, {'vances', 'particu', 'tered'}, {'particu', 'spectively', 'stressed'}, {'vances', 'particu', 'varieties'}, {'vances', 'particu', 'postdoctoral'}, {'particu', 'postdoctoral', 'resented'}, {'stressed', 'particu', 'postdoctoral'}, {'particu', 'quence', 'postdoctoral'}, {'sible', 'particu', 'postdoctoral'}, {'vances', 'particu', 'puting'}, {'particu', 'puting', 'resented'}, {'particu', 'spectively', 'resented'}, {'particu', 'varieties', 'resented'}, {'vances', 'particu', 'resented'}, {'stressed', 'particu', 'resented'}, {'ticular', 'particu', 'resented'}, {'sible', 'particu', 'resented'}, {'particu', 'respec', 'resented'}, {'particu', 'tained', 'resented'}, {'vances', 'particu', 'teukolsky'}, {'particu', 'varieties', 'stressed'}, {'vances', 'particu', 'stressed'}, {'particu', 'tained', 'stressed'}, {'vances', 'particu', 'suspect'}, {'vances', 'particu', 'ticular'}, {'vances', 'particu', 'quence'}, {'particu', 'quence', 'resented'}, {'sible', 'particu', 'quence'}, {'sible', 'particu', 'varieties'}, {'vances', 'particu', 'sible'}, {'sible', 'particu', 'stressed'}, {'sible', 'particu', 'ticular'}, {'sible', 'particu', 'tained'}, {'vances', 'particu', 'tained'}, {'vances', 'sible', 'varieties'}, {'vances', 'sible', 'stressed'}, {'vances', 'ticular', 'sible'}, {'vances', 'sible', 'tained'}, {'vances', 'particu', 'ities'}, {'vances', 'particu', 'ichi', 'interfere'}, {'vances', 'particu', 'ichi', 'varieties'}, {'vances', 'particu', 'ichi', 'postdoctoral'}, {'vances', 'particu', 'ichi', 'resented'}, {'vances', 'particu', 'ichi', 'stressed'}, {'vances', 'particu', 'ichi', 'sible'}, {'vances', 'sible', 'postdoctoral', 'resented'}, {'vances', 'sible', 'quence', 'postdoctoral'}, {'vances', 'sible', 'postdoctoral', 'stressed'}, {'vances', 'sible', 'stressed', 'resented'}, {'contin', 'particu', 'vances', 'anism'}, {'contin', 'particu', 'anism', 'resented'}, {'vances', 'mech', 'particu', 'sible'}, {'sible', 'particu', 'vances', 'istic'}, {'vances', 'particu', 'varieties', 'interfere'}, {'vances', 'particu', 'interfere', 'postdoctoral'}, {'vances', 'particu', 'interfere', 'resented'}, {'vances', 'particu', 'interfere', 'stressed'}, {'vances', 'sible', 'particu', 'interfere'}, {'vances', 'particu', 'cedure', 'resented'}, {'particu', 'cedure', 'respec', 'resented'}, {'vances', 'particu', 'exert', 'interfere'}, {'vances', 'particu', 'varieties', 'exert'}, {'vances', 'particu', 'exert', 'postdoctoral'}, {'vances', 'particu', 'exert', 'resented'}, {'vances', 'particu', 'exert', 'sible'}, {'contin', 'particu', 'ichi', 'vances'}, {'contin', 'sible', 'vances', 'postdoctoral'}, {'contin', 'sible', 'vances', 'resented'}, {'contin', 'mech', 'vances', 'particu'}, {'contin', 'particu', 'vances', 'interfere'}, {'contin', 'particu', 'vances', 'exert'}, {'contin', 'particu', 'varieties', 'vances'}, {'contin', 'particu', 'vances', 'postdoctoral'}, {'contin', 'particu', 'vances', 'resented'}, {'contin', 'particu', 'stressed', 'resented'}, {'contin', 'particu', 'sible', 'resented'}, {'contin', 'particu', 'vances', 'stressed'}, {'contin', 'particu', 'vances', 'suspect'}, {'contin', 'particu', 'vances', 'ticular'}, {'contin', 'particu', 'vances', 'quence'}, {'contin', 'particu', 'vances', 'sible'}, {'contin', 'particu', 'vances', 'tained'}, {'contin', 'sible', 'vances', 'stressed'}, {'vances', 'particu', 'postdoctoral', 'resented'}, {'vances', 'particu', 'stressed', 'postdoctoral'}, {'vances', 'particu', 'sible', 'postdoctoral'}, {'vances', 'particu', 'stressed', 'resented'}, {'vances', 'particu', 'sible', 'resented'}, {'vances', 'particu', 'quence', 'resented'}, {'vances', 'particu', 'varieties', 'sible'}, {'vances', 'particu', 'sible', 'stressed'}]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K= 10\n",
      "Runtime is :10.469573020935059 seconds\n",
      "The Frequent sets are:\n",
      "[{'ken'}, {'kybernetik'}, {'mitsuo'}, {'netic'}, {'erated'}, {'explo'}, {'discus'}, {'deutsche'}, {'duces'}, {'ichi'}, {'flavor'}, {'tered'}, {'spectively'}, {'slowed'}, {'vetterling'}, {'varieties'}, {'tude'}, {'vances'}, {'prac'}, {'pled'}, {'postdoctoral'}, {'neuromimetic'}, {'opposing'}, {'racy'}, {'quan'}, {'puting'}, {'pursuing'}, {'resented'}, {'crete'}, {'aro'}, {'assembled'}, {'anism'}, {'acquires'}, {'transport'}, {'tual'}, {'crucially'}, {'weigh'}, {'warrant'}, {'vides'}, {'ied'}, {'finished'}, {'creases'}, {'advocated'}, {'investigates'}, {'naftali'}, {'ric'}, {'regu'}, {'barely'}, {'ccr'}, {'sara'}, {'biolog'}, {'numer'}, {'quarterly'}, {'pute'}, {'symp'}, {'sured'}, {'ior'}, {'tistical'}, {'jeff'}, {'tedious'}, {'assisted'}, {'strate'}, {'dictates'}, {'documented'}, {'dirac'}, {'sional'}, {'deviate'}, {'intriguing'}, {'gan'}, {'structed'}, {'ported'}, {'tremendous'}, {'flannery'}, {'shut'}, {'teukolsky'}, {'sider'}, {'stressed'}, {'contrasted'}, {'dozen'}, {'education'}, {'mech'}, {'istic'}, {'badly'}, {'ule'}, {'observational'}, {'clarendon'}, {'itive'}, {'plete'}, {'acteristic'}, {'genera'}, {'neuronlike'}, {'cording'}, {'tering'}, {'danger'}, {'increas'}, {'manage'}, {'cri'}, {'suspect'}, {'redwood'}, {'tie'}, {'derlying'}, {'yorktown'}, {'fax'}, {'identi'}, {'accelerated'}, {'accomplishes'}, {'interfere'}, {'oped'}, {'ijcai'}, {'maybe'}, {'spe'}, {'orlando'}, {'concentrating'}, {'lengthy'}, {'proximate'}, {'terminating'}, {'decade'}, {'cedure'}, {'resent'}, {'sive'}, {'knowl'}, {'zation'}, {'strated'}, {'doubled'}, {'parison'}, {'simi'}, {'concluding'}, {'concludes'}, {'funding'}, {'uous'}, {'terry'}, {'signif'}, {'focussed'}, {'recipes'}, {'wadsworth'}, {'formalize'}, {'invoked'}, {'fined'}, {'exert'}, {'cies'}, {'lihood'}, {'pervised'}, {'appeal'}, {'dation'}, {'indebted'}, {'prog'}, {'invaluable'}, {'cate'}, {'looked'}, {'tionist'}, {'sug'}, {'duced'}, {'iden'}, {'unrealistic'}, {'dan'}, {'ist'}, {'havior'}, {'ticular'}, {'erties'}, {'stud'}, {'plied'}, {'ner'}, {'tational'}, {'contin'}, {'quence'}, {'duce'}, {'trivially'}, {'justifies'}, {'particu'}, {'sible'}, {'charac'}, {'ting'}, {'mented'}, {'lacking'}, {'simu'}, {'univer'}, {'cient'}, {'tant'}, {'spond'}, {'ages'}, {'presidential'}, {'burden'}, {'correspondingly'}, {'ministry'}, {'respec'}, {'versity'}, {'imum'}, {'ities'}, {'ample'}, {'rela'}, {'impor'}, {'putational'}, {'phil'}, {'sponsored'}, {'sult'}, {'fore'}, {'tained'}, {'ically'}, {'tain'}, {'compu'}, {'acknowledgement'}, {'vances', 'explo'}, {'explo', 'resented'}, {'ichi', 'spectively'}, {'ichi', 'varieties'}, {'vances', 'ichi'}, {'ichi', 'postdoctoral'}, {'ichi', 'puting'}, {'ichi', 'resented'}, {'vances', 'tered'}, {'vances', 'spectively'}, {'vances', 'vetterling'}, {'vances', 'varieties'}, {'vances', 'prac'}, {'prac', 'resented'}, {'varieties', 'postdoctoral'}, {'vances', 'postdoctoral'}, {'puting', 'postdoctoral'}, {'postdoctoral', 'resented'}, {'spectively', 'puting'}, {'vances', 'puting'}, {'puting', 'resented'}, {'tered', 'resented'}, {'spectively', 'resented'}, {'varieties', 'resented'}, {'vances', 'resented'}, {'vances', 'crete'}, {'ichi', 'anism'}, {'varieties', 'anism'}, {'vances', 'anism'}, {'postdoctoral', 'anism'}, {'anism', 'resented'}, {'teukolsky', 'stressed'}, {'education', 'stressed'}, {'mech', 'stressed'}, {'stressed', 'istic'}, {'stressed', 'genera'}, {'interfere', 'suspect'}, {'fined', 'exert'}, {'contin', 'ticular'}, {'contin', 'plied'}, {'contin', 'quence'}, {'sible', 'particu'}, {'vances', 'ichi', 'varieties'}, {'vances', 'ichi', 'postdoctoral'}, {'vances', 'ichi', 'resented'}, {'vances', 'varieties', 'postdoctoral'}, {'vances', 'postdoctoral', 'resented'}, {'spectively', 'puting', 'resented'}, {'vances', 'puting', 'resented'}, {'vances', 'spectively', 'resented'}, {'vances', 'varieties', 'resented'}, {'vances', 'varieties', 'anism'}, {'vances', 'postdoctoral', 'anism'}, {'vances', 'anism', 'resented'}]\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import time\n",
    "\n",
    "global no_of_transactions\n",
    "global ms\n",
    "global m\n",
    "\n",
    "data =pd.read_csv(\"docword.\"+\"nips\"+\".txt\",\n",
    "                  skiprows=3,\n",
    "                  header=None,\n",
    "                  sep= \" \",\n",
    "                  names=[\"docId\",\"wordId\",\"count\"])\n",
    "\n",
    "data_clean=data.groupby([\"docId\",\"wordId\"])[\"count\"].sum().unstack().reset_index().fillna(0).set_index(\"docId\")\n",
    "\n",
    "df1=data_clean.copy()\n",
    "data_clean[data_clean>0]=1\n",
    "word_items=data_clean.columns\n",
    "\n",
    "\n",
    "no_of_transactions=max(data_clean.index)\n",
    "\n",
    "#set of all transactions\n",
    "\n",
    "Transactions=[]\n",
    "for id in data_clean.index:\n",
    "    ls=np.flatnonzero(data_clean.loc[id]).tolist()\n",
    "    ls1=[item+1 for item in ls]\n",
    "    \n",
    "    ls2=set(ls1)\n",
    "    Transactions.append(ls2)\n",
    "\n",
    "#calculating mis of every word\n",
    "    \n",
    "def mis_individual():\n",
    "    \n",
    "    mis=[]\n",
    "    \n",
    "    for item in range(1,max(word_items)+1):\n",
    "        if (item in word_items):\n",
    "            mis.append(max((df1[item].sum())/no_of_transactions,0.01))     ## mis values less than 0.01 are ignored                           \n",
    "        else :                                                             # Note that here df1 is used \n",
    "                                                                           # see also defination ms_apriori \n",
    "                    mis.append(0.01)                                       # if condition for appending item to f\n",
    "                                                                           # where data_clean is used instead\n",
    "    return mis\n",
    "#sortin and storing word_incices into m accotrding to mis\n",
    "\n",
    "def sort_accord_mis(data):\n",
    "    \n",
    "    vals=np.array(data)\n",
    "    vals1=np.argsort(vals).tolist()\n",
    "    vals2=[item+1 for item in vals1]\n",
    "    \n",
    "    return vals2\n",
    "\n",
    "ms= mis_individual()                           #contains all the mis\n",
    "m=sort_accord_mis(ms)                          #contains all the sorted 1-item sets according to mis\n",
    "\n",
    "## Not required as elements of f are already sorted in desired manner ##\n",
    "\n",
    "def level_2_candidate_gen(m,phi):\n",
    "    \n",
    "    c_set=[]\n",
    "    for i in range(0,len(m)):\n",
    "        if m[i] in word_items:\n",
    "            if ((data_clean[m[i]].sum())/no_of_transactions)>=ms[m[i]-1]:\n",
    "           \n",
    "                for j in range(i+1,len(m)):\n",
    "                    if m[j] in word_items:\n",
    "                        #print(data_clean[m[j]].sum()/no_of_transactions)\n",
    "                        if (((data_clean[m[j]].sum())/no_of_transactions)>=ms[m[i]-1]):\n",
    "                            if(abs(((data_clean[m[i]].sum())/no_of_transactions)-((data_clean[m[j]].sum())/no_of_transactions))<=phi):\n",
    "                                \n",
    "                                c_set.append({m[i],m[j]})\n",
    "                        \n",
    "                        \n",
    "                    \n",
    "    return  c_set  \n",
    "\n",
    "#candidate-gen function for multiple minimum support\n",
    "\n",
    "def MS_candidate_gen(f,phi):\n",
    "        \n",
    "        c_set=[]\n",
    "        c=set()\n",
    "        \n",
    "        for f1 in f:\n",
    "            for f2 in f :\n",
    "                \n",
    "                max_f1=max(f1)\n",
    "                max_f2=max(f2)\n",
    "                if ((f2.difference(f1)).union(f1.difference(f2))=={max_f1,max_f2}):\n",
    "                    \n",
    "                    if(max_f1<max_f2):\n",
    "                        if(abs(((data_clean[max_f1].sum())/no_of_transactions)-((data_clean[max_f2].sum())/no_of_transactions))<=phi):\n",
    "                            c =f1.union({max_f2})\n",
    "                            c_set.append(c)\n",
    "                    for i in c:\n",
    "                        \n",
    "                        if c.difference({i}) not in f:\n",
    "                            \n",
    "                            temp=c.difference({i})\n",
    "                            if (min(c) in temp):\n",
    "                            \n",
    "                                if (c_set != []) & (c in c_set):\n",
    "                               \n",
    "                                      c_set.remove(c)\n",
    "                            elif(ms[min(c)-1]==ms[min(c.difference({min(c)}))]):\n",
    "                                if (c_set != []) & (c in c_set):\n",
    "                               \n",
    "                                      c_set.remove(c)\n",
    "       \n",
    "                             \n",
    "        return c_set\n",
    "\n",
    "#counts the frequency of a candidate set\n",
    "    \n",
    "def support_count_of_sets(input_set):\n",
    "    count=0\n",
    "    for t in Transactions:\n",
    "        if input_set.issubset(t):\n",
    "            count =count+1\n",
    "    return count\n",
    "\n",
    "#converts the frequent itemset list to words vocubaliry file\n",
    "\n",
    "def to_word_conversion(word_index):\n",
    "    \n",
    "    vocabulary_file=open(\"vocab.\"+\"nips\"+\".txt\",\"r\")\n",
    "    vocabulary=vocabulary_file.read().split(\"\\n\")\n",
    "    frequent_set_words=[]\n",
    "    for frequent_set in word_index:\n",
    "        temp_word_set=set()\n",
    "        for index in frequent_set:\n",
    "            temp_word_set.add(vocabulary[index-1])\n",
    "        frequent_set_words.append(temp_word_set)\n",
    "    return frequent_set_words\n",
    "            \n",
    "def MS_apriori(data_clean,k,phi):\n",
    "    # defining global variabe as to be used in output_file function\n",
    "    global K\n",
    "    global Phi\n",
    "    global total_time\n",
    "    global final_word_list\n",
    "    global final_f\n",
    "    \n",
    "    f=[]\n",
    "    start_time=time.time()\n",
    "    \n",
    "    for item in m:\n",
    "        if item in word_items:\n",
    "            if ((data_clean[item].sum())/no_of_transactions)>=ms[item-1]:\n",
    "                f.append(set([item]))\n",
    "    final_f=[]\n",
    "    final_f=final_f+f\n",
    "   \n",
    "    \n",
    "    for i in range(2,k+1):\n",
    "        \n",
    "        c_set=MS_candidate_gen(f,phi)\n",
    "        temp=len(f)\n",
    "        \n",
    "        for item in c_set:\n",
    "            \n",
    "            if (support_count_of_sets(item) /no_of_transactions)>=ms[min(item)-1]:\n",
    "                f.append(item)                           #  now f contains k-1,k length frequent item sets\n",
    "                             \n",
    "        f=f[temp:]                                       # this removes k-1 length frequent item sets from f\n",
    "        final_f=final_f+f                                # appends all k length frequent items to f_final\n",
    "    end_time  =time.time() \n",
    "    total_time=end_time-start_time\n",
    "    K=k\n",
    "    Phi=phi\n",
    "    final_word_list=to_word_conversion(final_f)\n",
    "    \n",
    "    return final_f\n",
    "\n",
    "def output_file_MS_apriori(k,phi):\n",
    "    MS_apriori(data_clean,k,phi)\n",
    "    output_file=open(\"output_MS_Apriori_nips.txt\",\"a+\")\n",
    "    output=\"\"\n",
    "    output=output+\"\\n\\n\"+\"K=\"+str(K)+\"\\n\\n\"+\"phi=\"+str(Phi)+\"\\n\\n\"+\"Runtime is :\"+str(total_time)+\" seconds\"+\"\\n\\n\"\n",
    "    output=output+\"The Frequent sets are:\"+\"\\n\\n\"+\"Word indices:\"+\"\\n\\n\"\n",
    "    output_file.write(output)\n",
    "    output_file.write(str(final_f))\n",
    "    output_file.write(\"\\n\\n\"+\"words:\"+\"\\n\\n\")\n",
    "    output_file.write(str(final_word_list))\n",
    "    print(\"K=\",k)\n",
    "    print(\"Runtime is :\"+str(total_time)+\" seconds\")\n",
    "    print(\"The Frequent sets are:\")\n",
    "    print(final_word_list)\n",
    "#############################################################################\n",
    "output_file_MS_apriori(10,0.006)\n",
    "output_file_MS_apriori(10,0.6)\n",
    "output_file_MS_apriori(10,0.06)\n",
    "output_file_MS_apriori(10,0.02)\n",
    "output_file_MS_apriori(10,0.0001)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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