ಋೖɿΓ͍ͨ͜ͱ dinner have X be full X ( ) , with friends at restaurant favorite Japanese dinner have X be full X ( ) , “Bob had dinner with his friends at his favorite Japanese restaurant just now and he is full.” ʪIBWFEJOOFS
CFGVMMʫ ֫ಘ͍ͨ͠ৗࣝతࣝ ίʔύεͷੜจ ༨ܭͳޠ͕ͨ͘͞Μೖ͍ͬͯΔ ࣝʹؚΊΔޠΛࣗಈͰબ͍ͨ͠ ͖ࠜ෦Λڭࢣͳ͠Ͱܾఆ͢Δͩͱࢥ͏ 1 2 3 2 / 31
ɿ֫ಘύλʔϯ͕ݻఆ ઌͷख๏ ߹ʹΑͬͯ ͕͋Δ [Granroth-Wilding&Clark’16] • ⟨“Tom had had absent repeatedly.”, “He was fired.”⟩ ˠ ⟨X have, fire X⟩ • ⟨“Bob has a talent for accounting work.”, “He was hired with favorable treatment.”⟩ ˠ ⟨X have, hire X⟩ ͜ͷ߹ʹ ཧతͳࣝ • ⟨X have absent repeatedly, fire X⟩ ɼ⟨X have talent, hire X⟩ ඞཁͳใΠϯελϯεຖʹҟͳΔ ଞɼ࣍ͷΑ͏ͳޠ۟ͷ༗ແʹΑͬͯΠϕϯτͷҙຯ͕େ ͖͘มΘΓಘΔ • ൱ఆදݱ • ಛఆͷ݅Λද͢म০અ • etc. 6 / 31
ղ͖͍ͨ ϖΞΛϖΞͨΒ͠Ί͍ͯΔ෦ߏΛɼΠϯελϯεຖʹɼ ڭࢣͳ͠Ͱܾఆ͢Δʢ֫ಘ͢Δࣝͷ “ཻ” Λڭࢣͳ͠Ͱܾఆ͍ͨ͠ʣ is My sad He extremely is sadness with , , , , , , , falling asleep She full She very trouble Tom have I He filled heart is is is falling asleep concentrating full She very trouble trouble Tom have I Bob He is is stuffed stuffed has My sadness with filled heart Z outdoors with John eat dinner has Italian restaurant at dinner has restaurant at Italian eat with John outdoors She , concentrating trouble Bob sad He has extremely is ࠓճͷઃఆɿ֤จΛґଘߏͰදݱ ʢ͖ࠜ෦ͷେ͖͞Λௐ͢ΕදݱͷநΛௐͰ͖Δʣ 8 / 31
ఆࣜԽɿैଐੑ࠷େԽ ೖྗ จͷϖΞͷू߹ D = {(si , ti )}n i=1 ग़ྗ ݩͷจͷ෦ߏͷϖΞͷू߹ Z = {(xi , yi )}n i=1 తؔ Z i.i.d. ∼ PXY ͱݟͯ maximize D[PXY ∥PX PY ] is My sad He extremely is sadness with , , , , , , , falling asleep She full She very trouble Tom have I He filled heart is is is falling asleep concentrating full She very trouble trouble Tom have I Bob He is is stuffed stuffed has My sadness with filled heart Z outdoors with John eat dinner has Italian restaurant at dinner has restaurant at Italian eat with John outdoors She , concentrating trouble Bob sad He has extremely is cf. ಛબ:ೖग़ྗؒͷؔ࿈ͷྑ͞Λैଐੑʹؼண [Peng+’05][Song+’12] 9 / 31
HSICͷਪఆྔͷؾ࣋ͪ HSIC ͷਪఆྔ xi xj yi yj ˜ k( xi, xj) ˜ `(yi, yj) ˜ ki ˜ `i ˜ K ˜ L ʮHSIC ͷਪఆ͕େ͖͍ʯʹʮΧʔωϧؔʢྨࣅʣ͕ ఆΊΔڑ͕ೖۭͬͨؒʹ์ΓࠐΉͱɼલ݅ଆ͓Αͼޙ݅ ଆͷϑϨʔζͷ૬ରతͳҐஔ͕͍͍ؔͩͨҰக͢Δʯ have dinner be full 14 / 31
HSICͷਪఆྔͷؾ࣋ͪ HSIC ͷਪఆҎԼͷ߹ʹେ͖͘ͳΔ • X ଆ͕ࣅ͍ͯΕ Y ଆࣅ͍ͯΔ • X ଆ͕ࣅ͍ͯͳ͚Ε Y ଆࣅ͍ͯͳ͍ Similar Similar Unsimilar Unsimilar Z is My sad He extremely is , , , , falling asleep concentrating full She very trouble trouble Tom have I Bob He is is stuffed has sadness with filled heart dinner has restaurant at Italian eat with John outdoors She ྨࣅੑʹج͍ͮͨҰ؏ͨ͠ʢैଐੑͷߴ͍ʣࣝΛظͰ͖Δ શҰகʹج্͍ͮͨ͑͛Ͱͳ͍ͷͰσʔλɾεύʔε ωεʹରԠͰ͖Δ 15 / 31
͜͜·Ͱͷ·ͱΊ ղ͖͍ͨɿϖΞΛϖΞͨΒ͠Ί͍ͯΔ෦ߏΛڭࢣͳ͠Ͱܾఆ͢Δ ೖྗ จͷϖΞͷू߹ D = {(si , ti )}n i=1 ग़ྗ ݩͷจͷ෦ߏͷϖΞͷू߹ Z = {(xi , yi )}n i=1 తؔ Z i.i.d. ∼ PXY ͱݟͯ max. D[PXY ∥PX PY ]ʢैଐੑ࠷େԽʣ is My sad He extremely is sadness with , , , , , , , falling asleep She full She very trouble Tom have I He filled heart is is is falling asleep concentrating full She very trouble trouble Tom have I Bob He is is stuffed stuffed has My sadness with filled heart Z outdoors with John eat dinner has Italian restaurant at dinner has restaurant at Italian eat with John outdoors She , concentrating trouble Bob sad He has extremely is ఏҊख๏ • తؔɿ σʔλɾεύʔεωεˍଟ༷ͳݴ͍͑ → HSIC • ୳ࡧɿ ߹ͤരൃ → MH Ͱ֬తࢁొΓ 20 / 31
ఆੑධՁɿখنਓσʔλ͔Βͷࣝ֫ಘ ೖྗɿD = {(si , ti )}12 i=1 si ti I have had breakfast at my house . I am full . We had special dinner . We are full . I have had breakfast at ten . I ’m full . They had breakfast at the eatery . They are full now . She had breakfast with her friends . She felt happy . I had breakfast with my friends at my uncle ’s house . I feel happy . They had breakfast with their friends at the cafeteria . They felt happy . He had lunch with his friends at eleven . He felt happy . I had trouble associating with others . I cry . He had trouble with his homework . He cries . I have trouble concentrating . I cry . She had trouble reading books . She cries . ྨࣅʢΧʔωϧʣɿ k(xi , xj ) = cos(ave(wordvecs(xi )), ave(wordvecs(xj ))) ℓ(yi , yj ) = cos(ave(wordvecs(yi )), ave(wordvecs(yj ))) ϑϨʔζؒྨࣅͷయܕతͳईɽֶशࡁΈ୯ޠϕΫτϧΛར༻ɽ 23 / 31
ఆੑධՁɿখنਓσʔλ͔Βͷࣝ֫ಘ ग़ྗɿZ = {(xi , yi )}12 i=1 ଠࣈɿఏҊΞϧΰϦζϜ͕ͨ͠୯ޠ xi yi I have had breakfast at my house . I am full . We had special dinner . We are full . I have had breakfast at ten . I ’m full . They had breakfast at the eatery . They are full now . She had breakfast with her friends . She felt happy . I had breakfast with my friends at my uncle ’s house . I feel happy . They had breakfast with their friends at the cafeteria . They felt happy . He had lunch with his friends at eleven . He felt happy . I had trouble associating with others . I cry . He had trouble with his homework . He cries . I have trouble concentrating . I cry . She had trouble reading books . She cries . 1 ͚ͩग़ݱ͢Δ୯ޠ (dinner, lunch) ͕සग़ޠ (breakfast) ͱͷྨࣅʹ ج͍ͮͯ͞ΕΔ ୈ 2 ϒϩοΫͷ (with) friends ͕͞Εɼࠨล → ӈลͷ༧ଌΛ༰қʹ 24 / 31
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