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学習しないTensorFlow
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takenakam
April 18, 2016
Technology
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4k
学習しないTensorFlow
TensorFlow勉強会(3)の発表資料です
takenakam
April 18, 2016
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Transcript
χϡʔϥϧωοτҎ֎Ͱͷ 5FOTPS'MPX׆༻๏ 5FOTPS'MPXษڧձʢ̏ʣ GBIP
ֶश͠ͳ͍5FOTPS'MPX 5FOTPS'MPXษڧձʢ̏ʣ GBIP
͓ଋ ຊࢿྉ͓Αͼൃݴͷ༰ݸਓͷݟղͰ͋Γɺॴଐ৫ɾษڧձओ࠵ऀͷݟղ ؚΈ·ͤΜɻ
ࣗݾհ GBIP !GVODUJPOBMBIP ג ϒϦϦΞϯταʔϏεॴଐ "OESPJEΤϯδχΞ
͓͜ͱΘΓ ຊൃදͰػցֶशͷग़͖ͯ·ͤΜ
5FOTPS'MPXͱʁ
ग़య,B[VOPSJ4BUP (PPHMF IUUQTTQFBLFSEFDLDPNLB[VOPSJDMPVEWJTJPOBQJBOEUFOTPSqPX
ग़య,B[VOPSJ4BUP (PPHMF IUUQTTQFBLFSEFDLDPNLB[VOPSJDMPVEWJTJPOBQJBOEUFOTPSqPX
ͬͪ͜ ग़య,B[VOPSJ4BUP (PPHMF IUUQTTQFBLFSEFDLDPNLB[VOPSJDMPVEWJTJPOBQJBOEUFOTPSqPX
ͬͪ͜ ग़య,B[VOPSJ4BUP (PPHMF IUUQTTQFBLFSEFDLDPNLB[VOPSJDMPVEWJTJPOBQJBOEUFOTPSqPX
ग़యIUUQTXXXUFOTPSqPXPSHWFSTJPOTSUVUPSJBMTJOEFYIUNM
ग़యIUUQTXXXUFOTPSqPXPSHWFSTJPOTSUVUPSJBMTJOEFYIUNM ୭৮Εͳ͍ɾɾɾ օɺڵຯͳ͍ʁ
Γ͍ͨ͜ͱ ภඍํఔࣜΛղ͖͍ͨ ֦ࢄํఔࣜ Ԡ֦ࢄํఔࣜ ϙΞιϯํఔࣜ
࣍ ඍํఔࣜͷࠩԽ ΈࠐΈͰඍํఔࣜΛղ͘ྲྀΕ ܭࢉྫ SBJOESPQTνϡʔτϦΞϧʹ͍ͭͯ ·ͱΊɾॴײɾࠓޙ
ภඍํఔࣜͬͯͲΜͳͷʁ ֦ࢄํఔࣜ ࣍ݩ V U Y Z ʢྫԹʣͷ࣌ؒൃలํఔࣜ FY
ͷ֦ࢄʢಋํఔࣜʣ ∂u ∂t = D ∂2 ∂x2 + ∂2 ∂y2 u
มΛࢄԽ͠ɺV YK ͷඍΛલޙͷVͷΛͬͯۙࣅ͢Δ V Y ͷ֊ඍͷࠩԽʢத৺ࠩʣ V Y ͷ֊ඍͷࠩԽʢத৺ࠩʣ
ඍԋࢉͷࠩදݱʢ࣍ݩʣ
∂u ∂t = D ∂2 ∂x2 + ∂2 ∂y2 u
࣍ݩͷ߹ಉ༷ʹ͢Δͱ ͰΈࠐΈʂ Z Y ϥϓϥγΞϯΧʔωϧͱ͍͏ શ֨ࢠͰΈࠐΉ
࣌ؒํͷੵ ࣌ؒํલਐࠩ ݞͷఴࣈO࣌Λද͢ EUݱ࣌ͱͷࠩͰۙࣅ͢Δ ∂u ∂t = D ∂2 ∂x2
+ ∂2 ∂y2 u
݁ہɺ֦ࢄํఔࣜΛࠩԽ͢Δͱ ݱࡏͷঢ়ଶ ͰΈࠐΈ ࣌ະདྷ ॳظঢ়ଶ U ɾɾɾ ऴঢ়ଶɹ ϥϓϥγΞϯͰ
ΈࠐΈ U ܁Γฦ͠
ܭࢉͯ͠Έͨ ˞ύϥϝλςΩτʔͰ͢ ࣮ࡍͷݱΛ࠶ݱ͢ΔͷͰ͋Γ·ͤΜ
֦ࢄํఔࣜ ॳظঢ়ଶ E E ಉ࣌ࠁͷεφοϓγϣοτ E E ∂u ∂t =
D ∂2 ∂x2 + ∂2 ∂y2 u ˠɹUGOOEFQUIXJTF@DPOWE
Ԡ֦ࢄํఔࣜ ྲྀମͷෆ҆ఆੑʹΑΔύλʔϯɾ༷ͷࣗൃతܗϞσϧ FYಈͷൽෘ༷ ϥϓϥγΞϯ ͰΈࠐΈ ఆ FMFNFOUXJTF ɾV৭ૉணΛଅਐ͢Δ࣭ͷີ
ɾWͦΕΛ્͢Δ࣭ͷີ ग़య<>*1ZUIPOσʔλαΠΤϯεΫοΫϒοΫ Ԡ߲ ֦ࢄ߲
Ԡ֦ࢄํఔࣜ ग़యIUUQTKBXJLJQFEJBPSHXJLJνϡʔϦϯάɾύλʔϯ
Ԡ֦ࢄํఔࣜ 境界の処理を サボっている ࣌ؒܦա
SBJOESPQTνϡʔτϦΞϧ ࣍ݩಈํఔࣜʢݮਰ͋Γʣ Χʔωϧ ϥϓϥγΞϯͷฏۉ ࣌ؒੵ࣍ͷϧϯήΫολ
ྫɿ࣭ྔЛʹΑΔॏྗП ిՙີʹΑΔిͳͲ ⒎U ''5ͰϙΞιϯํఔࣜ ͜͜ʹ࣭ ͓͍ͨ ˜ φ = ˜
ρ kx + ky ϑʔϦΤۭؒͰີЛ͔ΒПΛٻΊɺ ͦΕΛٯ''5͢Δ͜ͱͰɺ࣮ۭؒͷПΛٻΊΔ͜ͱ͕Ͱ͖Δ <>γϛϡϨʔγϣϯఱจֶ r0.7以降でfftが実装されたが現状GPUのみの模様 https://github.com/tensorflow/tensorflow/issues/386 x y J⒎U
·ͱΊ
·ͱΊ ΈࠐΈͰภඍํఔࣜΛղ͍ͨ ৽͘͠Ճ͞ΕͨPQͷ''5Λ͔ͭͬͯΈͨ $16લఏͩͱ͋͑ͯ5FOTPS'MPXͰܭࢉ͢Δཧ༝ͳ͍ͱࢥ͏ (16ͷࢄڥͰਅՁΛൃش͢Δʁ
ࢀߟจݙ 5FOTPS'MPX IUUQTXXXUFOTPSqPXPSH ,B[VOPSJ4BUP IUUQTTQFBLFSEFDLDPNLB[VOPSJDMPVEWJTJPOBQJBOEUFOTPSqPX
8JLJQFEJB IUUQTKBXJLJQFEJBPSHXJLJνϡʔϦϯάɾύλʔϯ ౻Ҫଂ lྲྀମྗֶͷܭࢉ๏z ౦ژେֶग़൛ձ ۔ߒ lඍํఔࣜʹΑΔཧϞσϧͱෳࡶܥz ݱֶࣾ ࡕ࣏ Ֆྠ ३Ұ zݱͷఱจֶγϛϡϨʔγϣϯఱจֶz ຊධࣾ ߐ७ ాܡҰ കଜխ೭ lӉྲྀମྗֶͷجૅz ຊධࣾ $ZSJMMF3PTTBOU ༁٠জ l*1ZUIPOσʔλαΠΤϯεΫοΫϒοΫz ΦϥΠϦʔɾδϟύϯ
͝ਗ਼ௌ͋Γ͕ͱ͏͍͟͝·ͨ͠