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Introduction to LSTM
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KenjiH
July 31, 2017
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Introduction to LSTM
KenjiH
July 31, 2017
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Transcript
-45.ೖ Kenji Hayashida
-45.ͱ MPOHTIPSUUFSNNFNPSZ SFDVSSFOUOFVSBMOFUXPSLNPEFMͷҰछ γʔέϯεσʔλͷੳʹར༻ ςΩετʢࣗಈ༁ʣ ΦʔσΟΦʢԻೝࣝʣ ϏσΦʢΠϝʔδΩϟϓγϣϯʣ
/FVSBM/FUXPSLT <>ΑΓҾ༻
3//T ྫɿөըͷը૾ʹϥϕϧΛ͚͍ͭͨ աڈϑϨʔϜͷใΛར༻͢Δ ֤ը૾Λݟͨͱ͖ɺϥϕϧΛग़ྗͭͭ͠ɺࣝΛߋ৽͢ΔϞσϧΛߟ͑Δ <>ΑΓҾ༻
-45.T 3//ͷ ࣝͷߋ৽͕ແடংʹߦΘΕΔʢใ͕͙͢ʹมΘΔࣦΘΕΔʣ ظهԱΛ࣋ͭͷ͕ࠔ -45. ظϝϞϦ ٫ػߏʢظهԱ͔ΒԿΛอ࣋͢ΔࣺͯΔ͔அʣ อଘػߏʢ৽͍͠σʔλ͔Β͑ΒΕͨใΛظهԱʹՃʣ ϫʔΩϯάϝϞϦ ϑΥʔΧεʢ͍·ඞཁͳใͷΈΛར༻ʣ
-45.T ࣌ࠁͷͱ͖ೖྗɹ͓Αͼ લ࣌ࠁͷظϝϞϦɹɹɹɹɺϫʔΩϯάϝϞϦ͕༩͑ΒΕΔ xt ltmt 1 wmt 1 t
-45.T ࣌ࠁͷͱ͖ೖྗɹ͓Αͼ લ࣌ࠁͷظϝϞϦɹɹɹɹɺϫʔΩϯάϝϞϦ͕༩͑ΒΕΔ xt ltmt 1 wmt 1 t ظϝϞϦͷͲͷ෦Λอ࣋͢Δ͔
อ࣋ɺഁغ
-45.T ࣌ࠁͷͱ͖ೖྗɹ͓Αͼ લ࣌ࠁͷظϝϞϦɹɹɹɹɺϫʔΩϯάϝϞϦ͕༩͑ΒΕΔ xt ltmt 1 wmt 1 t ظϝϞϦʹ͢ใ
-45.T ࣌ࠁͷͱ͖ೖྗɹ͓Αͼ લ࣌ࠁͷظϝϞϦɹɹɹɹɺϫʔΩϯάϝϞϦ͕༩͑ΒΕΔ xt ltmt 1 wmt 1 t ظϝϞϦʹ͢ใͷ͏ͪɺ
Ͳͷ෦͕ॏཁ͔ʁ
-45.T ࣌ࠁͷͱ͖ೖྗɹ͓Αͼ લ࣌ࠁͷظϝϞϦɹɹɹɹɺϫʔΩϯάϝϞϦ͕༩͑ΒΕΔ xt ltmt 1 wmt 1 t ظϝϞϦΛߋ৽
-45.T ࣌ࠁͷͱ͖ೖྗɹ͓Αͼ લ࣌ࠁͷظϝϞϦɹɹɹɹɺϫʔΩϯάϝϞϦ͕༩͑ΒΕΔ xt ltmt 1 wmt 1 t ظϝϞϦͷ͏ͪɺ͍·ॏཁͳͷʁ
-45.T ࣌ࠁͷͱ͖ೖྗɹ͓Αͼ લ࣌ࠁͷظϝϞϦɹɹɹɹɺϫʔΩϯάϝϞϦ͕༩͑ΒΕΔ xt ltmt 1 wmt 1 t ϫʔΩϯάϝϞϦΛநग़
-45.T <>ΑΓҾ༻
આ໌Ͱ༻͍ͨݺশ Ұൠతͳݺশ ظϝϞϦMUNU ηϧঢ়ଶʢDFMMTUBUFʣDU ϫʔΩϯάϝϞϦXNU ӅΕʢIJEEFOTUBUFʣIU ٫ػߏSFNFNCFSU ٫ήʔτʢGPSHFUHBUFʣGU อଘϕΫτϧTBWFU ೖྗήʔτʢJOQVUHBUFʣJU
ϑΥʔΧεϕΫτϧGPDVTU ग़ྗήʔτʢPVUQVUHBUFʣPU ͔Γ໊͍͢લͰઆ໌͖͕ͯͨ͠ɺ֤ཁૉผ໊ͰݺΕΔ͜ͱ͕ଟ͍ -45.EJBHSBNT
-45.EJBHSBNT <>ΑΓҾ༻
GU٫ήʔτ ϝϞϦʔηϧ$UͷͲͷ෦Λอ࣋͢Δ͔ อ࣋ɺഁغ -45.EJBHSBNT <>ΑΓҾ༻
JUɹೖྗήʔτ ৽͍͠ೖྗ͔Β͑ΒΕͨใͷ͏ͪɺͲ͕͜ॏཁ͔ -45.EJBHSBNT <>ΑΓҾ༻
ηϧঢ়ଶΛߋ৽ -45.EJBHSBNT <>ΑΓҾ༻
ϝϞϦηϧ͔Βग़ྗήʔτΛ௨ͯ͡ɺ ӅΕঢ়ଶΛऔಘ -45.EJBHSBNT <>ΑΓҾ༻
-45.WBSJBOUT ͷ͖ͧ݀ʢQFFQIPMFʣ ֤ήʔτ͔Βηϧͷঢ়ଶΛࢀরͰ͖Δ -45.ʹ͞·͟·ͳѥछ͕ଘࡏ͢Δ <>ΑΓҾ༻
-45.WBSJBOUT ٫ήʔτͱೖྗήʔτͷಉҰԽ -45.ʹ͞·͟·ͳѥछ͕ଘࡏ͢Δ <>ΑΓҾ༻
-45.WBSJBOUT (BUFE3FDVSSFOU6OJU (36 ɹηϧͱӅΕঢ়ଶΛ༥߹ ɹ٫ήʔτͱೖྗήʔτΛ༥߹ -45.ʹ͞·͟·ͳѥछ͕ଘࡏ͢Δ <>ΑΓҾ༻
-45.ͷจհ ͔͜͜ΒҎԼͷจͷʹͳΓ·͢ l4FRVFODFUP4FRVFODF7JEFPUP5FYUz 4VCIBTIJOJ7FOVHPQBMBO .BSDVT 3PISCBDI +F⒎%POBIVF 3BZNPOE.PPOFZ 5SFWPS%BSSFMM ,BUF4BFOLP
*OUSPEVDUJPO ϏσΦΩϟϓγϣϯͷ͍͠ͱ͜Ζ ՄมͷೖྗͱՄมͷग़ྗ ΦϒδΣΫτɺγʔϯɺΞΫγϣϯɺ ଐੑͷଟ༷ੑ ݦஶͳίϯςΩετͷదͳநग़ ϏσΦΫϦοϓͱઆ໌จ͔ΒͳΔσʔληοτΛ༻͍ͯɺϏσΦͷΩϟϓγϣ ϯΛੜ͢ΔϞσϧʢ475ʣΛֶश FOEUPFOEͰֶशՄೳͳϞσϧ 4FRVFODFUP4FRVFODFͷֶशͰ࣮ͷ͋Δ-45.Λ͏
<>ΑΓҾ༻
3FMBUFE8PSL ॳظͷϏσΦΩϟϓγϣϯͷख๏ εςʔδͷύΠϓϥΠϯ ҙຯͷ͋ΔίϯςΩετͷநग़ʢTVCKFDU WFSC PCKFDUʣ ςϯϓϨʔτΛͬͯจষΛੜ ީิͱͳΔPCKFDU BDUJPO TDFOFΛࣝผ͢ΔͨΊʹݸผͷࣝผث͕ඞཁ
ݴޠදݱೳྗ͕ेͰͳ͍ʢୀ۶ͳจষʹͳΓ͕ͪʣ ࠷৽ͷϏσΦΩϟϓγϣϯͷख๏ $//Λͬͯಛநग़ͯ͠ɺͦͷಛϕΫτϧΛ୯ޠͷγʔέϯεʹσ ίʔυ͢Δ ظґଘؔΛֶश͢Δͷʹదͨ͠-45.͕ΘΕΔ͜ͱ͕ଟ͍
3FMBUFE8PSL ࠷৽ͷϏσΦΩϟϓγϣϯͷख๏4VCIBTIJOJΒʢʣ NFBOQPPMJOHΛͬͯɺϏσΦͷใΛҰͭͷಛϕΫτϧͰදݱ ϑϨʔϜͷॱংؔΛແࢹ͍ͯ͠ΔͨΊɺ࣌ؒใΛ׆༻Ͱ͖ͳ͍ <>ΑΓҾ༻
3FMBUFE8PSL ࠷৽ͷϏσΦΩϟϓγϣϯͷख๏-J:BPΒʢʣ ϏσΦΛ 8 ) 5 ͷ̏࣍ݩͰදݱ͠ɺ͔ͦ͜ΒಛྔΛநग़ நग़ͨ͠ಛྔΛ%$//ʹೖྗ͠ɺBDUJPOΛࣝผ BUUFOUJPOΛͬͯϑϨʔϜͷಛྔͷॏΈΛௐ ࣌ؒ࣠ͷಛநग़
BUUFOUJPOʹΑͬͯύϑΥʔϚϯε্ʹޭ <>ΑΓҾ༻
"QQSPBDI ೖྗϑϨʔϜγʔέϯε ग़ྗ୯ޠγʔέϯε ҎԼͷ͖݅ͭ֬Λਪఆ͢ΔϞσϧΛߟ͑Δ ೖग़ྗͷγʔέϯε͕Մม͚ͩͲͲ͏ͬͯରॲ͢Δʁ ϑϨʔϜγʔέϯεΛͭͣͭΤϯίʔυ͠ɺϏσΦΛҰͭͷજࡏมදݱͰද͢ જࡏมϕΫτϧΛ୯ޠͷγʔέϯεʹσίʔυ͢Δ ͭલͷ୯ޠ ϏσΦͷજࡏมදݱͷ࠷৽ঢ়ଶ
"QQSPBDI ݸͷӅΕϢχοτΛ࣋ͭͭͷ-45.ΛελοΫ͢Δ ৭ͷ-45.ϨΠϠʔը૾ͷΤϯίʔυΛ୲ ৭ͷ-45.ϨΠϠʔ୯ޠͷσίʔυΛ୲ QBEθϩϕΫτϧɺ#04CFHJOJOHPGTFOUFODFλάɺ&04FOEPGTFOUFODF λά ҎԼͷରΛ࠷େԽ͢ΔΑ͏ʹύϥϝʔλΛֶश ͨͩ͠ σίʔμ-45.ͷग़ྗ <>ΑΓҾ༻
7JEFPBOE5FYU3FQSFTFOUBUJPO 3(#GSBNFT $//Ͱಛநग़ *NBHF/FUEBUBTFUͷը૾ͰֶशࡁΈͷ$// 0QUJDBM'MPX BDUJWJUZͷࣝผʹ༗ޮͰ͋ΔͱݴΘΕ͍ͯΔ qPXJNBHFTΛ$//ʹೖྗ͠ಛྔΛੜ 0QUJDBM'MPXΛBDUJWJUZࣝผ͢ΔͨΊͷσʔληοτʢ6$'WJEFPEBUBTFUʣ ͰֶशࡁΈͷ$//Λͬͨ ্هͭͷಛΛͬͯ͑ΒΕͨ݁ՌΛ݁߹ͨ͠ͷΛ࠷ऴతͳείΞͱ͢Δ
ϏσΦͷಛྔ ςΩετͷಛྔ POFIPUFODPEJOHʢPG/DPEJOHʣΛઢܗมͯ͠ɺ࣍ݩʹͨ͠ͷ
&YQFSJNFOU <>ΑΓҾ༻
"QQFOEJY0QUJDBM'MPX ࿈ଓ͢ΔϑϨʔϜ͔ΒମͷҠಈใΛநग़͢Δख๏ <>ΑΓҾ༻ <>ΑΓҾ༻
3FGFSFODFT <>&YQMPSJOH-45.T <>6OEFSTUBOEJOH-45./FUXPSLT <>4FRVFODFUP4FRVFODFr7JEFPUP5FYU <>5SBOTMBUJOH7JEFPTUP/BUVSBM-BOHVBHF6TJOH%FFQ3FDVSSFOU/FVSBM/FUXPSLT <>%FTDSJCJOH7JEFPTCZ&YQMPJUJOH5FNQPSBM4USVDUVSF <>0QUJDBM'MPX