Pruning Basics on Multi Head Attention-based Models

Pruning Basics on Multi Head Attention-based Models

A42dd3541cd40296dcd8a5e6b4a01bef?s=128

Scatter Lab Inc.

May 18, 2020
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  6. "SF"MM"UUFOUJPO)FBET*NQPSUBOU • ח഑਷ • ౠ੿)FBEܳ.BTLJOHೞӝਤ೧೧׼чਸઑ੘೧ࢲप೷ೣ • чਸ੹ࠗ۽ݏ୶ݶੌ߈੸ੋ.VMUJIFBE"UUFOUJPOҗэ਺ ξh 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT

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  12. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT • ૑Әө૑੄ղਊ਷ౠ੿5FTU4FUী੄ઓػഋక੄प೷Ѿҗ • ׮ܲ%BUBTFUী؀ೠੌ߈ചооמೠо  • )FBEо6OJWFSTBMMZ*NQPSUBOUೠഋక۽ઓ੤ೞחо  •

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  20. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT %ZOBNJDTPG)FBE*NQPSUBODFEVSJOH5SBJOJOH _&QPDIद੼ীࢲח1SVOJOH੿بীٮۄࢿמ੉-JOFBSೞѱхࣗ ઺ਃೠ)FBEחള۲ୡӝ ૒റחইפҊઑӘ૑աࢲ ীѾ੿ؽ

  21. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT • .VMUJIFBE"UUFOUJPO਷੉ۿ੸ਵ۽಴അࢿ੉ڪযա૑݅ ׮ࢎਊೞ૑ঋח׮חࢎपਸߊѼ • ࢿמਸ௼ѱ੷ೞदః૑ঋਵݶࢲ)FBEܳ׮ࣻহচࣻ੓਺ਸࠁ੐ • .5࠙ঠীࢲ &ODPEFS%FDPEFSݽ؛੉.VMUJIFBEী݆੉੄ઓೣਸߊѼೣ •

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  23. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT "CTUSBDU • .VMUJIFBE"UUFOUJPOীࢲп)FBE੄઺ਃࢿҗ৉ೡী؀೧োҳ • ઺ਃೠ)FBEח$POTJTUFOUೞҊ-JOHVJTUJDBMMZJOUFSQSFUBCMFೠౠࢿਸ૑שਸߊѼ • 4UPDIBTUJD(BUF৬ QFOBMUZܳ੉ਊೠ%JGGFSFOUJBCMF3FMBYBUJPOਸࢎਊೞৈ 1SVOJOH೮Ҋ

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  24. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT *EFOUJGZJOH*NQPSUBOU)FBET • 5SBOTMBUJPOѾҗীৈ۞ߧਤ۽৔ೱਸ޷஖חѐ߹)FBEٜী؀ೠ࠙ࢳ • )FBE੄$POGJEFODFܳ੿੄ • &044ZNCPMਸઁ৻ೠࠗ࠙੄.BYJNVN"UUFOUJPO8FJHIU • $POGJEFOUೠ)FBEח੹୓"UUFOUJPO੄؀ࠗ࠙ਸౠ੿5PLFOী֍חࢿೱਸ૑ש

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  25. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT -BZFSXJTF3FMFWBODF1SPQBHBUJPO -31 • %JOHFUBM ীࢲ୊਺ઁदؽ • 8FJHIU3BUJPܳഝਊೞৈ/FUXPSL࢚੄ౠ੿/FVSPOٜࢎ੉੄ 3FMBUJWF$POUSJCVUJPOਸ҅࢑ೞחߑߨ •

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  26. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT -BZFSXJTF3FMFWBODF1SPQBHBUJPO -31

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  29. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 1PTJUJPOBM)FBET • ੉࢚੄ഛܫ۽੗नҗੋ੽ೠ5PLFOਸоܻఃח)FBEٜ • .BYJNVN"UUFOUJPO8FJHIU੉഑਷ ߣ૩5PLFOীࠗৈؽ • -31߂$POGJEFODFীࢲ֫਷чਸ঳਷ࠗ࠙җэ਷ࠗ࠙ীߓ஖ؽ •

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  30. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 4ZOUBDUJD)FBET • 5SBOTMBUJPO5BTL૓೯઺&ODPEFSо4ZOUBDUJD4USVDUVSFܳ೟णೠ׮חоࢸਸઁद • ౠ੿)FBEо4ZOUBDUJDೠ੄޷о੓ח5PLFOਸоܻఆѪэ਺ • ࠙ࢳѾҗ׮਺о૑%FQFOEFODZ3FMBUJPOਸഛੋೣ • /PNJOBM4VCKFDU

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  31. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 4ZOUBDUJD)FBETn.FUIPEPMPHZ • $PSF/-1 .BOOJOHFUBM ܳࢎਊ೧ࢲ%FQFOEFODZ4USVDUVSFܳ݅ٞ • "UUFOUJPO8FJHIUਸ୶୹ೠറਤ%FQFOEFODZ4USVDUVSF৬࠺Ү • খীࢲݺदೠޙߨ੸ਃࣗܳоܻఃח%FQFOEFODZо٘۞աח૑ܳഛੋೞҊर਺

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  32. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 4ZOUBDUJD)FBETn3FTVMU • 4ZOUBDUJD3FMBUJPOਸఐ૑ೞח)FBE੄"DDVSBDZо Ӓۧ૑ঋ਷҃਋ࠁ׮֫ও਺ • &ODPEFSо4ZOUBDUJD%JTBNCJHVBUJPOਸࣻ೯ೠ׮ח оࢸਸّ߉ஜೞחѾҗ۽೧ࢳೡࣻ੓਺

  33. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 3BSF8PSET • ݽٚݽ؛ীࢲ ୐-BZFS੄ೠ)FBEоҭ੢൤*NQPSUBODFо֫׮חѾҗܳഛੋ೮਺ • ઑࢎѾҗ -FBTU'SFRVFOUೠ5PLFOਸоܻఃחѪਵ۽ࠁ੐ • חо੢؏١੢ೠ5PLFOਸ

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  34. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 1SVOJOH"UUFOUJPO)FBET • .VMUJIFBE"UUFOUJPOਸ׮਺ҕधਵ۽߄Է •  • חп)FBE݃׮׮ܰѱࠗৈغח(BUF • *OQVU4FOUFODF৬ח*OEFQFOEFOUೣ

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  35. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 1SVOJOH"UUFOUJPO)FBET • Ӓ۞ա 3FHVMBUJPO਷޷࠙ࠛоמೞ޲۽ 4UPDIBTUJD3FMBYBUJPOਸࢎਊೣ • ܳ3BOEPN7BSJBCMF۽فҊ)FBETQFDJGJD%JTUSJCVUJPOীٮۄة݀੸ਵ۽੿ೣ • )BSE$PODSFUF%JTUSJCVUJPOਸࢎਊೣ

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  36. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 2VBOUJUBUJWF3FTVMUT#-&64DPSF )FBEѐթӝҊ #-&64DPSFхࣗ )FBEѐթӝҊ #-&64DPSFхࣗ

  37. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT )FBET*NQPSUBODF • .PEFM਷&ODPEFS4FMG"UUFOUJPOਸઁੌ ݢ੷1SVOJOHೞח҃ೱ੉੓਺ • %FDPEFS4FMG"UUFOUJPO਷ %PNBJOীٮۄ׮ܴ • 8.5੄-POH4FOUFODFח઺ਃب֫਺

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  38. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT )FBET*NQPSUBODF • %FDPEFS&ODPEFS"UUFOUJPO਷ ծ਷ױ҅-BZFSীࢲ؊ਬ૑ؽ • %FDPEFS4FMG"UUFOUJPO਷ ֫਷ױ҅-BZFSীࢲ؊ਬ૑ؽ 5SBOTGPSNFS੄-BZFSח ծ਷ױ҅ীࢲ-BOHVBHF.PEFMJOHਸೞҊ

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  39. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT $PODMVTJPO • -BZFSXJTF3FMFWBODF1SPQBHBUJPOਸࢎਊ೧ࢲ)FBE੄઺ਃࢿਸಣо • 5SBOTMBUJPO5BTLীࢲ)FBEٜ੄4VCTFU݅੉઺ਃೞ׮חࢎप੉ҙ଴ؽ • ઺ਃ)FBEח೧ࢳоמೠౠ੿ӝמਸೠ׮חѪਸߊѼ • ઺ਃೞ૑ঋ਷)FBEٜ੉1SVOJOHغযঠೠ׮חѐ֛ਸӝୡ۽1SVOJOH.FUIPEܳઁद

    • &ODPEFS4FMG"UUFOUJPOਸਤदೠ؀ࠗ࠙੄)FBEٜ਷ࢿמࣚ೧Ѣ੄হ੉হচࣻ੓਺ਸࠁ੐
  40. 3FEVDJOH5SBOTGPSNFS%FQUIPO %FNBOEXJUI4USVDUVSFE%SPQPVU 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT

  41. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT "CTUSBDU • -BZFS%SPQਸࣗѐೣ • 5SBJOJOH઺3FHVMBSJ[BUJPO&GGFDUܳоೞҊ *OGFSFODF5JNFীബ਎੸ਵ۽1SVOJOH • ௾֎౟ਕ௼ীࢲ'JOFUVOJOHҗ੿হ੉ೞա੄4VCOFUXPSLܳࢶఖ೮ਸٸ ௾ࢿמ%SPQহ੉୶ۿоמೠҳઑܳࠁ੐

  42. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT -BZFS%SPQ • Өѱऺੋ5SBOTGPSNFSܳ3FHVMBSJ[FೞҊ 5SBJOJOHਸউ੿ചदఇ • ׮নೠ#FODINBSLীࢲ405"1FSGPSNBODFܳਬ૑ೞب۾ೣ • ೞա੄௾1SFUSBJOFE.PEFMীࢲౠ੿Ө੉ܳо૓੘Ҋബਯ੸ੋݽ؛ਸ୶୹ೣ •

    5FTU5JNFী੗زਵ۽੉ܖয૗ • 'JOFUVOJOHҗ੿੉೙ਃೞ૑ঋ਺ • %SPQPVUҗ࠺तೠࣻળ੄ए਍*NQMFNFOUBUJPOդ੉بܳо૗
  43. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT "CTUSBDU

  44. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 3BOEPNMZ%SPQQJOH4USVDUVSFTBU5SBJOJOH5JNF • п8FJHIUоة݀੸ਵ۽߬ܰ־੉࠙ನ   ী੄೧Ѿ੿ػ%SPQ3BUFܳٮܴ • .੉\ ^উীࢲ3BOEPNMZ4BNQMFػ.BTL.FUSJYੌٸ

     8FJHIU.BUSJYח p > 0 Wd = M ⊙ W
  45. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 3BOEPN4USVDUVSFE%SPQPVU • э਷Ҋਬҳઑܳо૓$PNQPOFOUীౠ੿8FJHIUٜ੄(SPVQਸഋࢿೞҊ Ӓ(SPVQীٮۄࢲп$PNQPOFOUܳ.BTLJOHೣ • )FBEա''/.FUSJDFT -BZFS৬э੉0WFSMBQQJOHೞחҳઑ۽غয੓ח ݽٚ8FJHIUী੸ਊೡࣻ੓਺

  46. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 1SVOJOHBU*OGFSFODF5JNFn4FMFDUJOH-BZFSTUP1SVOF • 1SVOJOHೡ-BZFSܳҊܰחо૑4USBUFHZ • &WFSZ0UIFS • 3BUF о઱য઎ਸٸ %FQUI

    ী؀೧ࢲܳ1SVOJOHೣ • о੢૒ҙ੸੉Ҋ#BMBODFE/FUXPSLٜܳ݅ࣻ੓חߑߨ ݽٚ҃਋ীੜ੘زೣ • 4FBSDIPO7BMJE • -BZFSٜ੄ৈ۞$PNCJOBUJPOਸ҅࢑ೞҊ7BMJEBUJPO4FUਵ۽ппѨૐೣ • 4USBJHIUGPSXBSEೞ૑݅ো࢑۝੉࠺ऱҊ7BMJEBUJPO4FUী0WFSGJUUJOHೡࣻ੓਺ • %BUB%SJWFO1SVOJOH • п-BZFS੄%SPQ3BUF ܳ೟णೞݴ -BZFSٜ੄"WFSBHF3BUFܳ ৬эѱೣ • -BZFS੄"DUJWBUJPOਵ۽ ܳ೟णೞҊ4PGUNBYܳ҅࢑ೞחഋక • *OGFSFODJOH5JNFী4PGUNBY0VUQVU઺5PQLܳࡳইࢲ೧׼-BZFSٜਸࢎਊೣ p d pd p pd d ≡ 0(mod⌊ 1 p ⌋)
  47. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 1SVOJOHBU*OGFSFODF5JNFn4FUUJOHUIFESPQSBUFGPSPQUJNBMQSVOJOH • (SPVQ੉ ѐ੓Ҋ 'JYFE%SPQ3BUJP о੓ਸٸ (SPVQٜ੄ಣӐіࣻח ੉޲۽ ѐ੄(SPVQਸ1SVOJOHೠ׮Ҋೞݶ

    0QUJNBM%SPQ3BUF ח  • ֫਷1SVOJOH3BUFח੘਷.PEFMীࢲ؊ա਷ࢿמਸࠁ੐ • -BZFS%SPQীࢲח ܳࢎਊ೮ਵա ੘਷.PEFMীࢲח ܳӂ੢ೣ N p N(1 − p) r p* p* = 1 − r N p = 0.2 p = 0.5
  48. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 3FTVMU

  49. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 3FTVMU

  50. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 3FTVMU

  51. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 3FTVMU

  52. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT 3FTVMU

  53. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT "CMBUJPO4UVEJFT

  54. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT "CMBUJPO4UVEJFT

  55. 1SVOJOH#BTJDTPO.VMUJ)FBE"UUFOUJPOCBTFE.PEFMT $PODMVTJPO • 4USVDUVSFE%SPQPVU੉3FHVMBSJ[BUJPOীب਑੉݆੉ؽ • ؋࠙ী1SVOJOHद੼ী/FUXPSLо؊3PCVTUೡࣻ੓঻਺ • যڃ%FQUI۽1SVOJOHೞ؊ۄبযו੿ب&GGJDJFOUೞب۾ࣁ౴ೣ • Ө਷/FUXPSLܳ೟णदఆٸب-BZFS%SPQ੉4UBCJMJUZীب਑ਸ݆੉઱঻਺

  56. хࢎ೤פ׮✌ ഘथജ .-4PGUXBSF&OHJOFFS 1JOHQPOH &NBJMTFVOHIXBO!TDBUUFSMBCDPLS