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論文紹介:Relaxed Softmax for PU Learning
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Hayato Maki
October 05, 2019
Research
3
910
論文紹介:Relaxed Softmax for PU Learning
論文リンク:
https://dl.acm.org/citation.cfm?id=3347034
Hayato Maki
October 05, 2019
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Transcript
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3FMBYFE4PGUNBYGPS 16-FBSOJOH 6HP5BOJFMJBOBOE'MBWJBO7BTJMF $SJUFP3FTFBSDI 3FD4ZT`จհBU8BOUFEMZΦϑΟε 1PTJUJWFBOE6OMBCFMFE հऀɿਅ༐ਓBU;0;0ςΫϊϩδʔζ
1PTJUJWF6OMBCFMFE 16 -FBSOJOH 3 ਖ਼ྫʹ͚ͩϥϕϧ͕͍͍ͭͯΔ ϥϕϧ͕͍͍ͭͯͳ͍σʔλɺਖ਼ྫɾෛྫͲͪΒͷ Մೳੑ͋Γ ਪનɺݴޠϞσϧͷֶशͰΑ͋͘Δঢ়گ
ී௨ͷ̎Ϋϥεྨ 16-FBSOJOH ਖ਼ྫ ෛྫ ਖ਼ྫ ϥϕϧແ͠
$POUFYUVBM16-FBSOJOH 4 ʮϖΞʯʹͳΔͷΛ୳͢16-FBSOJOH ਖ਼ྫͷϖΞ͚͕ͩ༩͑ΒΕΔ ਖ਼ྫͱͯ͠༩͑ΒΕͳ͔ͬͨϖΞͷΫϥεෆ໌ ֶश࣌ B@ C@
B@ C@ B@O C@O B@ C@ B@ C@ ϖΞ̌ ϖΞ ϖΞO ਖ਼ྫ Ϋϥεෆ໌ ਪ࣌ ೖྗ ީิ܈ ʁ ʁ ʁ ɾ ɾ ɾ ɾ ɾ ɾ ɾ ɾ ɾ
ϑΝογϣϯʹ͓͚Δ$POUFYUVBM16-FBSOJOH 5 ͷΈ߹ΘͤΛϞσϧԽ͢Δ ਖ਼ྫϖΞίʔσΟωʔτڞ༗αΠτ͔ΒೖखՄೳ ෛྫϖΞཧܥͷେֶʹߦͬͯࣸਅΛࡱΔखʹೖΒͳ͍ ʹߘ͞Εͨ τοϓεͱϘτϜεͷϖΞ Έସ͑ͨϖΞ
ؔ࿈ݚڀ 6 ਖ਼ྫͷੜ͚ͩΛֶश͢Δ ҟৗݕͳͲͰΘΕ͍ͯΔΞϓϩʔν ϥϯΩϯάͷUPQ/͚ͩʹڵຯ͕͋Δਪનʹ͔ͳ͍ ೳಈֶश ஞ࣍తʹϥϕϧΛ͚͍ͭͯ͘
0SBDMF ਅͷϥϕϧΛ͚ΒΕΔԿ ͔ ͕ඞཁɺਓؒͷΞϊςʔλʔͳͲ ϥϕϧ͖ σʔλ Ϟσϧֶश ϥϕϧແ͠ σʔλ 0SBDMF ೖྗ ద༻ αϯϓϦϯά ϥϕϧ༩
ຊݚڀͷߩݙ 7 $POUFYUVBM16-FBSOJOHʹ͍ͭͯɺ ৽͍͠ଛࣦؔͱෛྫαϯϓϦϯάͷ ํ๏ΛఏҊ
͖݅ͷ࠷ਪఆ 8 w J͕༩͑ΒΕͨ࣌ͷKͷ͖݅ܦݧ ਖ਼ྫͷϖΞ ਖ਼ྫϖΞҎ֎ͷશͯͷΈ߹Θͤ w ෛͷର GVMMTPGUNBY w
ϖΞͷू߹ɿ w JͱKͷϕΫτϧදݱͷੵɿ
͖݅ͷ࠷ਪఆ 9 w J͕༩͑ΒΕͨ࣌ͷKͷ͖݅ܦݧ ਖ਼ྫͷϖΞ ਖ਼ྫϖΞҎ֎ͷશͯͷΈ߹Θͤ w ෛͷର GVMMTPGUNBY
ͲͷJʹରͯ͠ ֤Kಉ͡ස ֬ Ͱෛྫͱͯ͠αϯϓϧ ͞ΕΔ ਅͷ͖݅ʹ JJEΛԾఆ w ϖΞͷू߹ɿ w JͱKͷϕΫτϧදݱͷੵɿ
ఏҊ
3FMBYFE4PGUNBY 34 -PTT 11 ෛྫαϯϓϦϯάɹɹʹ͍ͭͯɺଛࣦΛҎԼͷࣜͰఆٛ 'VMMTPGUNBY '4 ͱͷൺֱ
3FMBYFE4PGUNBY 34 -PTT 12 ෛྫαϯϓϦϯάɹɹʹ͍ͭͯɺଛࣦΛҎԼͷࣜͰఆٛ 'VMMTPGUNBY '4 ͱͷൺֱ
ͯ͢ͷKʹ͍ͭͯܭࢉ 2@J͕Ұ༷ͳΒɺ34'4ͷϞϯςΧϧϩۙࣅ 2@JͰαϯϓϧ͞ΕͨKͷू߹ 7 J K ʹ͍ͭͯܭࢉ
ੵΛߟྀͨ͠ෛྫαϯϓϦϯά 13 3FMBYFETPGUNBYΛඍ /VNCFSPGOFHBUJWFTBNQMFTˠ♾ ੵͷFYQΛ2@JͰॏΈ͚ ͨ͠ϘϧπϚϯ
ϘϧπϚϯෛྫαϯϓϦϯά 14 ෛྫʹͳΓ͢͞ʢOFHBUJWJUZʣͷࣄલࣝΛදݱ 5Λௐ͢Δ͜ͱͰෛྫαϯϓϦϯάͷੑ࣭Λௐ͢Δ ɿEFHFSBDZEJTUSJCVUJPO ॖୀ 5ɿԹύϥϝʔλ
ෛྫαϯϓϦϯάʹ͓͚ΔτϨʔυΦϑ 15 wϞσϧ͕ޡྨ͍͢͠ෛྫΛαϯϓϦϯά͍ͨ͠ ޡྨ͍͢͠ਖ਼ྫͱͷੵ͕େ͖͍ʢྨࣅ͕େ͖͍ʣ ຊਖ਼ྫͷσʔλΛɺෛྫͱͯ͠αϯϓϧͯ͠͠·͏ةݥ͕େ͖͍ wຊਖ਼ྫͷσʔλΛෛྫͱͯ͠αϯϓϦϯάͨ͘͠ͳ͍ ਖ਼ྫͱͷੵ͕খ͍͞ʢྨࣅ͕খ͍͞ʣσʔλΛαϯϓϦϯά
Ϟσϧʹͱͬͯ༰қʹࣝผՄೳɻใྔ͕গͳ͍ ϘϧπϚϯͷԹύϥϝλͰௐ
Թύϥϝλ 16 5ˠͷ࣌ɺਖ਼ྫͱͷੵ͕େ͖͍σʔλΛத৺ʹ୳ࡧ 5ˠ♾ͷ࣌ɺਖ਼ྫͱͷੵ͕খ͍͞σʔλΛத৺ʹ୳ࡧ 5 5 5
࣮ݧ
࣮ݧɿਓσʔλ ࠞ߹ਖ਼ن1@JͰσʔλΛੜ ਅͷͱਪఆ͞Εͨͷ,-μΠόʔδΣϯεͰධՁ ෛྫͷαϯϓϦϯάʹઃఆ ϘϧπϚϯͷઃఆ ܇࿅
ςετ ܇࿅ ςετ ܇࿅σʔλສɺόοναΠζΛมԽ όοναΠζɺ܇࿅σʔλΛมԽ 18
αϯϓϦϯά ଛࣦ .-& 'VMM 4PGUNBY 44 1PQVMBSJUZ 4PGUNBY 64 6OJGPSN
3FMBYFE4PGUNBY 6#4 #PUM[NBOO VOJGPSN 3FMBYFE4PGUNBY 14 1PQVMBSJUZ 3FMBYFE4PGUNBY 1#4 #PUM[NBOO QPQVMBSJUZ 3FMBYFE4PGUNBY #PUM[NBOOαϯϓϦϯάͷ༗ޮੑ͕֬ೝͰ͖Δ ࣮ݧɿਓσʔλ 19 όοναΠζ
࣮ݧɿ/FYUJUFN1SFEJDUJPO w .PWJFMFOT ສϨίʔυ w /FUqJYʢສϨίʔυʣ w 8JLJQFEJB5FYU ࠷ϙϐϡϥʔͳສ୯ޠ
w ̏୯ޠҎʹొͨ͠ΒϙδςΟϒͱΈͳ͢ 20 σʔλ ධՁࢦඪ w w .13 .FBO1FSDFOUJMF3BOL w 1SFDJTJPOBU
݁Ռɿ/FYUJUFN1SFEJDUJPO 21 αϯϓϦϯά ଛࣦ .-& 'VMM 4PGUNBY 44 1PQVMBSJUZ 4PGUNBY
64 6OJGPSN 3FMBYFE4PGUNBY 6#4 #PUM[NBOO VOJGPSN 3FMBYFE4PGUNBY 14 1PQVMBSJUZ 3FMBYFE4PGUNBY 1#4 #PUM[NBOO QPQVMBSJUZ 3FMBYFE4PGUNBY
·ͱΊ 22 $POUFYUVBM16-FBSOJOHʹ͍ͭͯɺ3FMBYFE4PGUNBYଛࣦͱ ϘϧπϚϯෛྫαϯϓϦϯάΛఏҊ ਓσʔλɺ/FYUJUFNQSFEJDUJPOͰ༗ޮੑΛ֬ೝ Թύϥϝʔλͷಈతௐ
$//ɺ3//ͳͲʹର͢ΔదԠ ܭࢉྔ͕ଟͦ͏ʁ จλΠτϧͷ͚͔͕͍ͭͨͬͨͳ͍ 'VUVSF8PSL ॴײ