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AAAI・WSDM 2017論文読み会
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KenjiH
March 27, 2017
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A Concise Integer Linear Programming Formulation for Implicit Search Result Diversificationの紹介
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Transcript
"""*ɾ84%.จಡΈձ "$PODJTF*OUFHFS-JOFBS1SPHSBNNJOH'PSNVMBUJPO GPS*NQMJDJU4FBSDI3FTVMU%JWFSTJpDBUJPO Recruit Communications Co., Ltd. Kenji Hayashida
4&-'*/530%6$5*0/ ̶Recruit Communications Co., Ltd.̶ ໊લྛాݡೋ ৬ྺ֎ࢿܥ4*FS3$0ΤϯδχΞ ۀ༰ΞυςΫͷ࠷దԽɺίϯςϯπϚʔέɺσʔλύΠϓϥΠϯ झຯϓϩίϯ
84%. ̶Recruit Communications Co., Ltd.̶
84%. ̶Recruit Communications Co., Ltd.̶ ৄࡉ3$0ΞυςΫ-BCϒϩάͰʂ ʮXTENSDPϒϩάʯͰݕࡧ
*/530%6$5*0/ Ϣʔβ͕ٻΊ͍ͯΔใΛఏڙ͢Δͷ͍͠ ̶Recruit Communications Co., Ltd.̶ )BSSZ1PUUFS ຊ өը
ϨϏϡʔ ΩϟϥΫλʔ ʜ
*/530%6$5*0/ ̶Recruit Communications Co., Ltd.̶ 43% 4FBSDI3FTVMU%JWFSTJpDBUJPO Ϣʔβ͕ཉ͍͠ใΛΧόʔ͢ΔΑ͏ʹଟ༷ͳ݁ՌηοτΛฦ͢ FYQMJDJU43%ɹΫΤϦʹજࡏ͢ΔαϒτϐοΫ͕Θ͔͍ͬͯΔ߹ JNQMJDJU43%ɹΫΤϦʹજࡏ͢ΔαϒτϐοΫ͕Θ͔͍ͬͯͳ͍߹
ଟ͘ͷ߹ɺજࡏαϒτϐοΫΘ͔Βͳ͍ ࠓճհ͢ΔจɺJNQMJDJU43%ʹϑΥʔΧε
*/530%6$5*0/ ̶Recruit Communications Co., Ltd.̶ .BYJNBM.BSHJOBM3FMFWBODF ..3 ..3࠷୯७ͳख๏ɻ ଞʹ༷ʑͳख๏͕ଘࡏ͠ɺओʹҎԼͷ͕ҟͳΔɻ
ଟ༷ੑΛͲͷΑ͏ʹදݱ͢Δ͔ʁ ద߹ੑͱଟ༷ੑΛͲͷΑ͏ʹόϥϯε͢Δ͔ʁ ݁ՌϦετΛͲͷΑ͏ʹੜ͢Δ͔ʁ MMR = arg max Di 2R\S Sim1(Di, Q) (1 ) max Dj 2S Sim2(Di, Dj) ҎԼͷج४ͰυΩϡϝϯτΛHSFFEZʹબ͢Δ ʢ$BSCPOFMMBOE(PMETUFJO ʣ
3&-"5&%803, ̶Recruit Communications Co., Ltd.̶ "⒏OJUZ1SPQFSHBUJPOʢ"1ʣ ඪຊʢදతͳΞΠςϜʣΛબͿ͜ͱͰΫϥελϦϯάΛߦ͏ख๏ ը૾ྨɺը૾ηάϝϯςʔγϣϯͳͲͰར༻͞ΕΔ
U = Uij = ΞΠςϜJͱΞΠςϜKͷྨࣅ ΞΠςϜJ͕ඪຊʹબΕΔ֬ (i = j) (i 6= j) \ ඇඪຊσʔλͱͦΕ͕ଐ͢ΔΫϥελͷඪຊσʔλͷྨࣅͷΛ࠷େԽ
3&-"5&%803, ̶Recruit Communications Co., Ltd.̶ %FTJSBCMF'BDJMJUZ1MBDFNFOU %'1 ࢪઃஔΛԠ༻ͨ͠Ϟσϧʢ;VDDPOFUBM ʣ
ϝλώϡʔϦεςΟοΫͳΞϓϩʔνʢIJMMDMJNCJOHʣͰܭࢉ ຊݚڀͷCBTFMJOFϞσϧͷͭ
130104&%.&5)0% ̶Recruit Communications Co., Ltd.̶ *-1*%ʢJOUFHFSMJOFBSQSPHSBNNJOHBQQSPBDIGPSJNQMJDJU43%ʣ
130104&%.&5)0% ̶Recruit Communications Co., Ltd.̶ *-1*% YJJυΩϡϝϯτEJ͕ඪຊʹબΕ͔ͨʁ YJK J㱠KυΩϡϝϯτEJ͕EKΛඪຊʹબΜ͔ͩʁ
130104&%.&5)0% ̶Recruit Communications Co., Ltd.̶ *-1*% ద߹ੑΛ࠷େԽ
130104&%.&5)0% ̶Recruit Communications Co., Ltd.̶ *-1*% දੑΛ࠷େԽ
130104&%.&5)0% ̶Recruit Communications Co., Ltd.̶ *-1*% NυΩϡϝϯταΠζͱLඪຊαΠζͷେ͖͞ΛௐʢNLʣ
130104&%.&5)0% ̶Recruit Communications Co., Ltd.̶ *-1*% ඪຊʹબΕΔυΩϡϝϯτLݸ
130104&%.&5)0% ̶Recruit Communications Co., Ltd.̶ *-1*% υΩϡϝϯτEJͷඪຊ͚ͭͩ
130104&%.&5)0% ̶Recruit Communications Co., Ltd.̶ *-1*% EJ͕EKΛඪຊʹબΜͩͳΒɺEKඪຊυΩϡϝϯτͰ͋Δ
130104&%.&5)0% ̶Recruit Communications Co., Ltd.̶ %'1*-1*%ͷಛघέʔεͱߟ͑Δ͜ͱ͕Ͱ͖Δ *-1*%Ͱදݱ͢Δ͜ͱͰ࠷దΛܭࢉՄೳ
ͦͷଞͷ*NQMJDJU43%ͷख๏ʢ..3 .51ͳͲʣಉ༷ʹ*-1*%ͰදݱՄೳ *-1*% %'1
&91&3*.&/54 ̶Recruit Communications Co., Ltd.̶ 53&$8FC 5SBDL #. 43% *-1*%
%'1 53&$8FC5SBDL ΫΤϦ GBDFUFERVFSZෳͷҟͳΔαϒτϐοΫΛ࣋ͭΫΤϦ BNCJHVPVTRVFSZෳͷ·ͬͨ͘ҟͳΔղऍΛ࣋ͭΫΤϦ JOJUJBMSFUSJFWBM DIPPTF999EPDVNFOUT DIPPTFEPDVNFOUT
&91&3*.&/54 ̶Recruit Communications Co., Ltd.̶ ͯ͢ͷΫΤϦʹରͯ͠ɺ%*-1*%㱢%%'1 %'1Ͱ࠷ద͕͑ΒΕͯͳ͍͜ͱΛ࣮ূ
υΩϡϝϯταΠζ͕૿͑Δ΄Ͳࠩݦஶ ࠷దੑͷݕূ ͓ࣜΑͼ ࣜͷЕɺ ͔ࣜΒLͷΛআ͘ʢଟ༷ੑʹϑΥʔΧεʣ ಉ͡ܗͷ࠷దԽʹͯ͠ɺ*-1*%ͱ%'1ͷ࠷దΛൺֱ ˞3&'&3&/$&4<>ΑΓҾ༻
&91&3*.&/54 ̶Recruit Communications Co., Ltd.̶ ֤Ϟσϧͷੑೳൺֱ *-1*%ଞͷϕʔεϥΠϯख๏ͱൺͯੑೳ͕Α͍ ଟ͘ͷվળ౷ܭతʹ༗ҙ
˞3&'&3&/$&4<>ΑΓҾ༻
&91&3*.&/54 ̶Recruit Communications Co., Ltd.̶ ֤Ϟσϧͷੑೳൺֱ *-1*%ଞͷϕʔεϥΠϯख๏ͱൺͯੑೳ͕Α͍ ଟ͘ͷվળ౷ܭతʹ༗ҙ
˞3&'&3&/$&4<>ΑΓҾ༻
&91&3*.&/54 ̶Recruit Communications Co., Ltd.̶ ܭࢉ Ұൠʹઢܗܭը/1ࠔͰ͋ Δ
༷ʑͳࢬݶఆ๏ͷΞϧΰϦζϜ͕ఏҊ ͞Ε͍ͯΔ ࠷৽ͷιϧόʔΛ͑ेߴʹܭࢉ Մೳ ઢܗܭըʹ͍ͭͯ ಉ༷ͷఆࣜԽͰ͋Δ͕ɺܭࢉίετ *-1*%ͷํ͕%'1ΑΓߴ͍ *-1*%Ͱࢬݶఆ๏Ͱ࠷దΛٻΊ ͍ͯΔ͜ͱΛߟྀ͢ΕೲಘͰ͖Δ ܭࢉͷൺֱ ˞3&'&3&/$&4<>ΑΓҾ༻
$0/$-64*0/4"/%'6563&5"4, ̶Recruit Communications Co., Ltd.̶ JNQMJDJU43%ͷΛղͨ͘Ίͷ৽͍͠ϞσϧΛఏҊ NݸͷυΩϡϝϯτ͔ΒLݸͷඪຊΛબͿॲཧͱͯ͠ఆࣜԽ
ઢܗܭըͱͯ͠ఆࣜԽ͢Δ͜ͱͰɺతؔͷ࠷దΛ ܭࢉՄೳ JNQMJDJU43%ͱಉ༷ͷΞϓϦέʔγϣϯʢྫϨίϝϯμʔγες Ϝʣʹ৽͍͠ࢹΛఏڙ ύϥϝʔλLͷνϡʔχϯάʹ͍ͭͯௐ͕ࠪඞཁʢΫΤϦʹΑͬͯҟ ͳΔͣʣ ΫϥελͷυΩϡϝϯτͷ૬ؔɺΫϥελಉ࢜ͷ૬ؔͳͲΛߟྀ ͨ͠ϞσϦϯάͷվྑ
"11&/%*953&$8FC5SBDL ̶Recruit Communications Co., Ltd.̶ 53&$ʢ5FYU3&USJFWBM$POGFSFODFʣͷίϯϖ<> 8FCݕࡧٕज़ͷ୳ٻͱධՁΛߦ͏
σʔληοτͷઆ໌<> BNCJHVPVTRVFSZෳͷશ͘ผͷղऍ͕Ͱ͖ΔΫΤϦ ྫUIFDVSSFOU 5IF$VSSFOUͱ͍͏ϥδΦ൪ͷϖʔδʁ χϡʔδϟʔδʔͷ5IF$VSSFOUOFXTQBQFSʁ αϯΞϯτχΦͷ5IF$VSSFOU.BHB[JOFʁ GBDFUFERVFSZෳͷαϒτϐοΫΛ࣋ͭෆ໌ྎͳΫΤϦ ྫWPMWP 7PMWPͷϗʔϜϖʔδʁ 7PMWP9$467ͷϨϏϡʔʁ 7PMWPͷσΟʔϥʔʁ
"11&/%*9#. ̶Recruit Communications Co., Ltd.̶ score ( D, Q )
= n X i=1 IDF( qi) f ( qi, D )( k1 + 1) f ( qi, D ) + k1(1 b + b |D| avgdl ) f(qi, D) avgdl IDF ( qi) = log N n ( qi) + 0 . 5 n ( qi) + 0 . 5 ୯ޠRJͷυΩϡϝϯτ%ͷUFSNGSFRVFODZ υΩϡϝϯτͷฏۉ୯ޠ N n(qi) υΩϡϝϯτ ୯ޠRJΛؚΉυΩϡϝϯτ
"11&/%*9.15 ̶Recruit Communications Co., Ltd.̶ .PSEFSO1PSUGPMJP5IFSPZ ద߹ੑͷظͱࢄ͓Αͼ͢Ͱʹબ͞ΕͨυΩϡϝϯτͱͷ૬ ؔΛߟྀͨ͠Ϟσϧ
ҎԼͷ͕ߴ͍ͷΛHSFFEZʹબ͍ͯ͘͠ E(dk) w ⇢ik k υΩϡϝϯτͷظద߹ੑ υΩϡϝϯτͷద߹ੑͷඪ४ภࠩ ϥϯΫݻ༗ͷॏΈ υΩϡϝϯτEJͱELͷ૬ؔ
"11&/%*9FYQFDUFEDBMM!L ̶Recruit Communications Co., Ltd.̶ ΞΠςϜTJͷTVCUPQJD ΫΤϦͷTVCUPQJD ద߹ੑʢద߹ɺෆద߹ʣ ҎԼͷ͕ߴ͍ͷΛHSFFEZʹબ͍ͯ͘͠ ˞3&'&3&/$&4<>ΑΓҾ༻
"11&/%*9O&33*" ̶Recruit Communications Co., Ltd.̶ &YQFDUFE3FDJQSPDBM3BOL &33 ద߹Ϩϕϧ ήΠϯ
*OUFOU"XBSF&YQFDUFE3FDJQSPDBM3BOL &33*" ΫΤϦͷҙਤΛͬͯظΛܭࢉ SFDJQSPDBMSBOL S൪ͰॳΊͯҙਤJʹద߹͢ ΔυΩϡϝϯτ͕͑ΒΕͨ
"11&/%*9ЋO%$( ̶Recruit Communications Co., Ltd.̶ OPSNBMJTFE%JTDPVOUFE$VNVMBUJWF(BJO O%$( g(r) g⇤(r) ϥϯΫSͷυΩϡϝϯτͷήΠϯʢద߹ϨϕϧʹԠܾͯ͡·Δʣ
ཧతʹϥϯΩϯά͞Εͨͱ͖ͷϥϯΫSͷυΩϡϝϯτͷήΠϯ ద߹Ϩϕϧ ήΠϯ ЋO%$( ήΠϯͷΘΓʹOPWFMUZCJBTFEήΠϯΛ༻͍Δ ϥϯΫSͷυΩϡϝϯτҙਤJʹద߹͢Δ ϥϯΫSͷυΩϡϝϯτҙਤJʹద߹͠ͳ͍ ͨͩ͠ ΫΤϦ͕࣋ͭҙਤͷू߹ʹରͯ͠ద߹ੑΛܭࢉ ↵ ύϥϝʔλʢ͕Α͘ΘΕΔʣ
3&'&3&/$&4 ̶Recruit Communications Co., Ltd.̶ <>l"$PODJTF*OUFHFS-JOFBS1SPHSBNNJOH'PSNVMBUJPOGPS*NQMJDJU4FBSDI 3FTVMU%JWFSTJpDBUJPOz )BJUBP:V "EBN+BUPXU 3PJ#MBODP
)JEFP+PIP +PFNPO+PTF -POH$IFO 'BKJF:VBO <>5FYU3&USJFWBM$POGFSFODF 53&$ )PNF1BHF <>l0WFSWJFXPGUIF53&$8FC5SBDLz $IBSMFT-"$MBSLF /JDL $SBTXFMM *BO4PCPSPG <>l)PX*OUVJUJWF"SF%JWFSTJpFE4FBSDI.FUSJDT $PODPSEBODF5FTU3FTVMUT GPSUIF%JWFSTJUZ6.FBTVSFTz 5FUTVZB4BLBJ <>%JWFSTFSFUSJFWBMWJBHSFFEZPQUJNJ[BUJPOPGFYQFDUFEDBMM!LJOBMBUFOU TVCUPQJDSFMFWBODFNPEFM 44BOOFS 4(VP 5(SBFQFM 4,IBSB[NJ 4 ,BSJNJ