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差分プライバシー入門
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LY Corporation Tech
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June 24, 2024
Technology
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83
差分プライバシー入門
差分プライバシーが求められている背景と、差分プライバシーの概要についてご紹介します。
LY Corporation Tech
PRO
June 24, 2024
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Transcript
-:$PSQPSBUJPO ࠩϓϥΠόγʔೖ ٻΊΒΕΔഎܠͱϓϥΠόγʔอޢͷΈ ∁ڮཌྷ c5TVCBTB 5",")"4)* -*/&Ϡϑʔݚڀॴ ্੮ݚڀһ "*4FDVSJUZ1SJWBDZਪਐࣨ ࣨ
-:$PSQPSBUJPO 5TVCBTB 5",")"4)* 1I% IUUQTXXXOFDTPMVUJPOJOOPWBUPSTDPKQTMEBOPOZ /&$ -*/& -*/&Ϡϑʔ 4#*OUVJUJPOT
d d /&$σʔλಗ໊ԽιϦϡʔγϣϯ ʮ-*/&ʯΞϓϦͷελϯϓαδΣετ ࿈߹ֶश ࠩϓϥΠόγʔ IUUQTMJOFDPSQDPNKB TFDVSJUZBSUJDMF ੜ"* ετϨε ςετ"* ҙਤతͳ߈ܸతΫΤϦ 8BUFSNBSL %JGGVTJPO.PEFM --.ͷετϨεςετ ఢରతಁ͔͠ʹΑΔஶ࡞ݖอޢ $.6d ߋߴઐ ஜେֶ
-:$PSQPSBUJPO ࠩϓϥΠόγʔͱʢ֓ཁʣ ౷ܭ։ࣔʹ͓͚ΔϓϥΠόγʔϦεΫ ࠩϓϥΠόγʔͷΈ ຊߨٛͷίϯςϯπ ࠩϓϥΠόγʔͷৄࡉͳཧԠ༻ΑΓɺͳͥࠩϓϥΠόγʔ͕ඞཁͱ͞Ε͍ͯΔ͔ʹযΛͯ·͢
-:$PSQPSBUJPO 1SJWBDZ&OIBODJOH5FDIOPMPHJFT 1&5T 1&5Tʹɺ ҉߸ʹΑΔΞΫηε੍ޚٕज़ͱ ใͦͷͷΛՃ͢Δٕज़ ͕͋Δ ࿈߹ֶशɾ
ہॴࠩϓϥΠόγʔ ಗ໊Խɾσʔλ߹ ࠩϓϥΠόγʔ ͍ઢΑΓࠨଆ͕ϓϥΠόγʔอޢͷൣғ FHಗ໊ԽࠩϓϥΠόγʔ FH࿈߹ֶशൿີܭࢉ
-:$PSQPSBUJPO ࠩϓϥΠόγʔͱ ϊΠζʢ ʣ͕Ճࢉ͞Ε͍ͯΔͱϓϥΠόγʔอޢ͞Ε͍ͯΔΑ͏ʹײ͡·ͤΜ͔ʁ ౷ܭత ͳग़ྗ ϊΠζ ΛՃࢉ 𝜖
∞ TUSPOH XFBL ʜ ࠩϓϥΠόγʔ͕ఏڙ͢Δͷ • ϊΠζͷՃࢉʹର͢Δ ཧతͳϓϥΠόγʔอޢͷई • ॴఆͷϓϥΠόγʔڧ 𝜖 ͷ ୡʹඞཁͳϊΠζͷಋग़
-:$PSQPSBUJPO ͭͷओཁͳϓϥΠόγʔϞσϧ $FOUSBM %JGGFSFOUJBM1SJWBDZ -PDBM%JGGFSFOUJBM1SJWBDZ ୈࡾऀͷ ౷ܭͷެ։ ػඍͳ ౷ܭͷऩू
αʔόʔΛ ৴༻͠ͳ͍ αʔόʔΛ ৴༻͢Δ ಋೖࣄྫ • $ISPNFϒϥβͰͷ౷ܭऩू (PPHMF • J04σόΠεͰͷ౷ܭऩू "QQMF • ελϯϓαδΣετͷ࿈߹ֶश -*/&Ϡϑʔ ಋೖࣄྫ • ถࠃࠃௐࠪ 64$FOTVT • 'VMM63-TEBUBTFU .FUB • /FYUXPSEQSFEJDUJPOJO(CPBSE (PPHMF • "VEJFODF&OHBHFNFOU"1* -JOLFE*O ʢ͝ࢀߟʣ"MJTUPGSFBMXPSMEVTFPGEJGGFSFOUJBMQSJWBDZIUUQTEFTGPOUBJOFTQSJWBDZSFBMXPSMEEJGGFSFOUJBMQSJWBDZIUNM
-:$PSQPSBUJPO 64$FOTVTͰࠩϓϥΠόγʔΛར༻ͨ͠ཧ༝ • ࠩϓϥΠόγʔɺࠓͷϓϥΠόγʔڴҖʹର͢Δ ࠷৽ͷηʔϑΨʔυͰ͋Δ • εύίϯɺݸਓใΛಛఆ͢ΔͨΊʹෳͷ%#͔Β σʔλΛݟ͚ͭग़͠ɺর߹͢Δ͜ͱͰɺ܈ऺͷத͔Β͋ ͳͨΛ༰қʹબͼग़͢ʢڱ͍ҬʹॅΜͰ͍ͯɺྡਓͱ
ਓछຽ͕ҟͳΔ߹ಛʹʣ • ϓϥΠόγʔʹର͢ΔਂࠁͳڴҖɺલͷࠃௐࠪ ͷ࣌ʹଘࡏ͠ͳ͔ͬͨͷͰ͋Δ • ࢲͨͪɺਓʑͷϓϥΠόγʔΛอޢ͠ଓ͚ΔͨΊʹɺ ৽͍ٕ͠ज़ΛΘͳ͚ΕͳΒͳ͍ • ࠓͷϓϥΠόγʔͷڴҖͷنΛߟ͑Δͱɺաڈͷํ ๏ɺެද͞Εͨσʔλʹஶ͘͠େ͖ͳΈΛੜͤ͡͞ɺ σʔλͷଟ͘Λ༻Ͱ͖ͳͯ͘͠͠·͏ͩΖ͏ IUUQTXXXDFOTVTHPWDPOUFOUEBN$FOTVTMJCSBSZGBDUTIFFUTEJGGFSFOUJBMQSJWBDZBOEUIFDFOTVTQEG
-:$PSQPSBUJPO Ҏ߱ͷύʔτͷૂ͍ • աڈʹى͖ͨϓϥΠόγʔ৵ͷࣄྫͱɺͦ͜Ͱར༻͞ΕͨϓϥΠόγʔอޢٕज़ʹ͍ͭͯ հ͠·͢ • աڈࣄྫΛ௨ͯ͠ɺͳͥࠩϓϥΠόγʔ͕ඞཁͳͷ͔ɺΛղઆ͍͖ͯ͠·͢ • ݫີͳఆٛΑΓɺΘ͔Γ͢͞Λ༏ઌͨ͠આ໌Λ͠·͢
-:$PSQPSBUJPO ౷ܭ։ࣔʹ͓͚ΔϓϥΠόγʔϦεΫ
-:$PSQPSBUJPO ถࠃ."भʹ͓͚Δ࠶ࣝผͷ • ถࠃ."भͰɺभͷ৬һͷ௨Ӄه " Λر͢Δݚڀऀʹެ։ ໊લআ •
έϯϒϦοδࢢͷ༗ݖऀσʔλϕʔε # υϧͰߪೖͰ͖ͨ • " ͱ # ͷΈ߹Θ͔ͤΒ8FMEࣄͷϨίʔυ͕؆୯ʹಛఆͰ͖ͨ (FOEFS ;JQ #JSUI %JTFBTF ' B YYBBCC "#$ . C YYZZ[[ %&' . D BCXXUU ()* ' E NOQQRR +,- /BNF (FOEFS ;JQ #JSUI ʜ ' B YYBBCC 8JMMJBN8FME . C YYZZ[[ . D BCXXUU ' E NOQQRR /BNF (FOEFS ;JQ #JSUI %JTFBTF ' B YYBBCC "#$ 8JMMJBN8FME . C YYZZ[[ %&' . D BCXXUU ()* ' E NOQQRR +,- +0*/ ४ࣝผࢠ 2VBTJ*EFOUJGJFS2*%
-:$PSQPSBUJPO /FUGMJY1SJ[Fͷ࠶ࣝผͷ • ಗ໊Խ͞Ε͍ͯͳ͍֎෦ͷσʔλϕʔε *.%# ͱͷಥ߹ʹΑͬͯɺಗ໊Խ͞Ε͍ͯͨίϝ ϯτͱϢʔβ͕ରԠ͍ͯ͠·ͬͨ •
ίϝϯτʹ࣏৴͕Θ͔Δͷ͋ͬͨ • ݸͷධՁͱ िؒҎͷਫ਼ ͕͔Εͷਫ਼ͰݸਓΛಛఆͰ͖ͨ 6TFSOBNF 5JUMF 3BUF "MJDF """ ### %%% #PC """ 999 1TFVEP*% 5JUMF 3BUF $PNNFOU Y """ ### %%% *UTFFNTYYY B ::: 999 "OPOZNJ[FE/FUGMJY.PWJFSBOLJOHEBUB /POBOPOZNPVT*.%#NPWJFSBUJOH +0*/
-:$PSQPSBUJPO Lಗ໊Խ • ಗ໊ԽɿσʔλͷಛఆࣝผΛࠔʹ͢ΔͨΊʹߦ͏σʔλͷՃॲཧ • Lಗ໊Խɿ%#ʹɺҙͷϨίʔυͱಉ͡४ࣝผࢠͷΛ࣋ͭଞͷϨίʔυ͕Lݸଘࡏ • ४ࣝผࢠ 2VBTJ*EFOUJGJFS
ɿ߹ͤʹΑͬͯݸਓΛࣝผ͠ಘΔଐੑͷू߹ɻࣄલʹఆٛ "HF (FOEFS 4BMBSZ "MJDF 'FNBMF . #PC .BMF . $IBSMJF .BMF . %BWJE .BMF , &NNB 'FNBMF . 'SBOD .BMF . (FPSHF .BMF , )BOB 'FNBMF , "HF (FOEFS 4BMBSZ . . . , . . , , Lಗ໊Խ L
-:$PSQPSBUJPO Lಗ໊Խͷݶք • ४ࣝผࢠҎ֎ͷଐੑʹର͢Δ֎෦ࣝͷಥ߹ʹΑΓɺLಗ໊ԽΛഁΒΕΔ͜ͱ͕͋Δ • è ߈ܸऀͷഎܠࣝʹΑͬͯಗ໊ੑ͕ेͰͳ͍ "HF (FOEFS
4BMBSZ . . . , . . , , Lಗ໊Խ L "HF (FOEFS 1IPOF "MJDF 'FNBMF #PC .BMF $IBSMJF .BMF %BWJE .BMF &NNB 'FNBMF 'SBOD .BMF (FPSHF .BMF )BOB 'FNBMF (FOEFS 4BMBSZ #PC .BMF . &NNB 'FNBMF . (FPSHF .BMF , ᶃ ᶃ ᶄ 'SBODà 4BMBSZ. ΛಛఆͰ͖ͯ͠·͏ ఢରऀͷ֎෦ࣝ
-:$PSQPSBUJPO ࠩ߈ܸ • ෳͷ౷ܭใͷʮࠩʯ͔Βಛఆͷݸਓʹؔ͢ΔใΛਪఆ • ಉ͡ϢʔβΛؚΉσʔλϕʔε͔Βੜͨ͠ෳͷ౷ܭใ͕ର BWHTBMBSZ ສԁ BWHTBMBSZ
ສԁ ʲ2VJ[ʳ"MJDFͷऩʁ ʜ ʜ ʜ ʜ "MJDF "MJDF͕ୀ৬ FOHJOFFST FOHJOFFST
-:$PSQPSBUJPO 2VJ[ͷճ BWHTBMBSZ ສԁ BWHTBMBSZ ສԁ ʲ2VJ[ʳ"MJDFͷऩʁ ʜ ʜ
ʜ ʜ "MJDF "MJDF͕ୀ৬ FOHJOFFST FOHJOFFST Yr Y ສԁ ͑
-:$PSQPSBUJPO ࠩ߈ܸͷࣄྫ • 'BDFCPPLͷ1**CBTFE5BSHFUJOH ݱࡏमਖ਼ࡁΈ • ࠂλʔήςΟϯάͷޮՌΛܭଌ͢ΔͨΊͷ౷ܭੳ"1* • ։੍ࣔޚͷͨΊʹᮢʹΑΔอޢΛಋೖ͍͕ͯͨ͠ɺόΠύε͞Εͨ
• ి൪߸ϝʔϧΞυϨεɺ8FCӾཡཤྺ͕࿙Ӯ IUUQTXXXZPVUVCFDPNXBUDI W-Q *X:WY(QL IUUQTXXXGUDHPWTZTUFNGJMFTEPDVNFOUTQVCMJD@FWFO UTQQSJWBDZDPONJTMPWF@QEG
-:$PSQPSBUJPO σʔλϕʔε࠶ߏங߈ܸ • ౷ܭใͷݩʹͳͬͨϨίʔυΛ༷ʑͳެ։ใΛۦͯ͠෮ݩ lಠzΛղ͘Πϝʔδ "O&YBNQMF IUUQTXXXDFOTVTHPWBCPVUUSBJOJOHXPSLTIPQTEBTQSFTFOUBUJPOQEG ౷ܭใͷಋग़աఔʹɺ ϧʔϧɺΞϧΰϦζϜɺґଘ͕ؔ͋Δ
-:$PSQPSBUJPO σʔλϕʔε࠶ߏங߈ܸͷࣄྫ • ถࠃͷͷࠃௐࠪ • Ҏ্ͷݸਓͷϨίʔυ͕෮ݩ͞ΕಘΔ͜ͱ͕ใࠂ͞Ε͍ͯΔ IUUQTXXXDFOTVTHPWBCPVUUSBJOJOHXPSLTIPQTEBTQSFTFOUBUJPOQEG ͷถࠃͷࠃௐࠪͰࠩϓϥΠόγʔ͕ಋೖ͞Ε͍ͯΔ
-:$PSQPSBUJPO ౷ܭͷ҆શͳ։ࣔ r සͱࠩͷ͖͍͠ॲཧ • ݪཧతʹՄೳ͕ͩɺ͋Γͱ͋ΒΏΔࠩΛຖճνΣοΫ͢Δ͜ͱ༰қͰͳ͍ • ͖͍͠ॲཧʹΑͬͯɺར༻ෆՄೳʹͳΔσʔλ͕ଟੜ͡ΔڪΕ
ੑผ ਓ உ ঁ உ ঁ ੑผ ਓ உ ঁ உ ঁ ੑผ ਓ உ ঁ உ ঁ ਓͷ͖͍͠ɿ ࠩͷ͖͍͠ɿ /( 0, ࣌ࠁ 5 ࣌ࠁ 5 𝜏 ݁ୗऀΛूΊΒΕͳ͍ఔʹ େ͖͍͖͍͠Λઃఆ ྫ
-:$PSQPSBUJPO ࠩϓϥΠόγʔ͕ٻΊΒΕ͍ͯΔഎܠ L ಗ໊Խͷݶք • ֎෦ࣝʹ੬ऑ ɿ֎෦ࣝͱͷಥ߹ʹΑͬͯɺಗ໊Խ͕ഁΒΕΔڪΕ • ෳެ։ʹඇରԠɿෳͷಗ໊Խσʔλͷಥ߹ʹΑͬͯɺಗ໊Խ͕ഁΒΕΔڪΕ
• ༗༻ੑҡ͕࣋ࠔɿσʔλͷෳࡶɺڴҖͷڧ͞ʹԠͯ͡༗༻ੑͷҡ͕࣋ΑΓࠔʹ ৽͍͠ڴҖͷొ • ࠩ߈ܸ • σʔλϕʔε࠶ߏங߈ܸ ౷ܭσʔλػցֶशϞσϧʹର͢ΔϓϥΠόγʔईͷඞཁੑ
-:$PSQPSBUJPO ࠩϓϥΠόγʔͷΈ
-:$PSQPSBUJPO ࠩϓϥΠόγʔͱ ϊΠζʢ ʣ͕Ճࢉ͞Ε͍ͯΔͱϓϥΠόγʔอޢ͞Ε͍ͯΔΑ͏ʹײ͡·ͤΜ͔ʁ ౷ܭత ͳग़ྗ ϊΠζ ΛՃࢉ 𝜖
∞ TUSPOH XFBL ʜ ࠩϓϥΠόγʔ͕ఏڙ͢Δͷ • ϊΠζͷՃࢉʹର͢Δ ཧతͳϓϥΠόγʔอޢͷई • ॴఆͷϓϥΠόγʔڧ 𝜖 ͷ ୡʹඞཁͳϊΠζͷಋग़
-:$PSQPSBUJPO %1ʹ౷ܭॲཧͱϊΠζՃࢉʹΑΔग़ྗͷࣝผࠔੑ • ग़ྗͷࣝผࠔੑɿೖྗͷΘ͔ͣͳࠩҟʹґΒͣग़ྗ͕΄ͱΜͲมΘΒͳ͍ • ˞Ұൠతͳʮಗ໊ԽʯͱҟͳΔϓϥΠόγʔͷߟ͑ํ • ॴఆͷࣝผࠔੑΛୡ͢ΔΑ͏ʹϝΧχζϜℳʢ౷ܭॲཧͱϊΠζՃࢉʣΛઃܭ ℳ
ℳ ग़ྗ ग़ ྗ ֬
-:$PSQPSBUJPO ࠩϓϥΠόγʔͷΈ • %1ʹΑΔϓϥΠόγʔอޢʹϢʔβʔͷߩݙ˞Λ੍ݶ͠ɺϊΠζͰߩݙͷ༗ແΛ෴͍Ӆ͢ • ˞Ϣʔβʔͷߩݙɿग़ྗʢ౷ܭใʣʹର͢Δ̍ݸਓʢσʔλʣͷد༩ͷେ͖͞ ߩݙͷ੍ݶ ʢ&ODPEFʣ ू
ʢ"HHSFHBUFʣ "MJDF #PC $IBSMJF ઁಈ ʢ1FSUVSCʣ ສԁ ສԁ ສԁ ສԁ ສԁ ສԁ ສԁ 0 1000 2000 3000 4000 5000
-:$PSQPSBUJPO 𝝐, 𝜹 %JGGFSFOUJBM1SJWBDZ ϝΧχζϜ ℳ: 𝒟 → 𝒮
͕ 𝜖, 𝛿 %1Λຬͨ͢ͱɺྡσʔλϕʔε 𝐷, 𝐷" ∈ 𝒟 ͓Αͼҙͷग़ྗͷू߹ 𝑆 ⊆ 𝒮 ʹରͯ͠ҎԼ͕Γཱͭͱ͖Ͱ͋Δ %BUBCBTF𝑫 0VUQVU 𝜖 ∞ TUSPOH XFBL ʜ Pr ℳ 𝐷 ∈ 𝑆 ≤ exp 𝜖 Pr ℳ 𝐷! ∈ 𝑆 + 𝛿 ℳ 𝑫′ɿ BEKBDFOUPG𝑫 ℳ 𝜖 ≥ 0, 𝛿 ∈ 0,1 ) ೖྗ͕มԽͯ͠ग़ྗʹ΄ͱΜͲʢexp 𝜖 ఔ͔͠ʣӨڹ͕ͳ͍ %XPSL%JGGFSFOUJBMQSJWBDZ*$"-1
-:$PSQPSBUJPO -BQMBDFϝΧχζϜ ࠷Α͘ΒΕͨϥϯμϜԽॲཧΛ࣮ݱ͢ΔϝΧχζϜʢ𝛿 = 0Λఆʣ ℳ 𝐷 = 𝑓
𝐷 + Lap 0, Δ. 𝜖 -BQMBDF.FDIBOJTN 𝜖 = 10, Δ! = 1 𝜖 = 1, Δ! = 1 ฏۉɿ ඪ४ภࠩɿ 2 "! # ͷ ϥϓϥε͔ΒϊΠζΛαϯϓϦϯά Δ' = sup (,(!∈𝒟 𝑓 𝐷 − 𝑓 𝐷" , ℓ𝟏 TFOTJUJWJUZ Δ-./01 = 1 Δ2340 = 1 𝑛 ˞ఆ͢Δྡ%#ʹґଘ &Y 4FOTJUJWJUZ𝚫𝒇 ҙͷҰϨίʔυͷมԽ˞͕ؔͷग़ྗʹӨڹΛ༩͑Δ߹͍ %XPSL%JGGFSFOUJBMQSJWBDZ*$"-1
-:$PSQPSBUJPO ࠩϓϥΠόγʔͷ࣮ ώετάϥϜʹ-BQMBDFϝΧχζϜΛద༻͢Δྫ ϓϥΠόγʔϞσϧ • อޢ୯Ґɿ6TFSMFWFM Ϩίʔυਓ • ྡ%#ɿBEESFNPWBM
-:$PSQPSBUJPO -BQMBDFϝΧχζϜͷڍಈ ϥϯμϜੑΛ࣋ͬͨڍಈΛ͢ΔͨΊɺಉ͡ઃఆͰຖճग़ྗ͕ҟͳΔ 𝜖 = 1, Δ# = 1
𝜖 = 1, Δ# = 1 𝜖 = 1, Δ# = 1
-:$PSQPSBUJPO -BQMBDFϝΧχζϜͷڍಈ ϓϥΠόγʔύϥϝʔλ𝜖Λมಈʢ𝜖খ à ϓϥΠόγʔอޢڧʣ 𝜖 = 0.1 𝜖
= 0.5 𝜖 = 2 𝜖 = 0.05 𝜖 = 10 Δ# = 1
-:$PSQPSBUJPO ࠩϓϥΠόγʔͷ՝ • ಁ໌ੑͷܽ • ग़ྗʢ౷ܭɾػցֶशϞσϧʣ͚ͩΛݟͯࠩϓϥΠόγʔ͕อূ͞Ε͍ͯΔ͔Ͳ͏͔ෆ໌֬ • ؔʢ౷ܭॲཧػցֶशϓϩηεʣͷ҆શੑΛଌΔईͰ͋ΔͨΊɺσʔλͦͷͷʹԿΒ͔ͷอূΛ ༩͑ΔͷͰͳ͍ɻ͜ͷ͕͜Ε·Ͱͷʮಗ໊Խʯʮ౷ܭԽʯͰ͡ΒΕ͖ͯͨ҆શੑͱ؍͕ҟͳΔ
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-:$PSQPSBUJPO ·ͱΊ • աڈͷϓϥΠόγʔ৵ͷࣄྫͱطଘͷϓϥΠόγʔอޢٕज़ʹ͍ͭͯհ • աڈࣄྫΛ௨ͯ͠ɺͳͥࠩϓϥΠόγʔ͕ඞཁͳͷ͔ɺΛղઆ • ࠩϓϥΠόγʔͷಋೖɾਁಁɾීٴʹ͓͚Δ՝Λհ •
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-:$PSQPSBUJPO