遺伝的アルゴリズムを使って人間がパラメータを調整する事なくFM音源から意図した音色の音を出す手法を解説します https://github.com/Fadis/genetic_fm 追記: 発表の動画を用意しました https://www.youtube.com/watch?v=oJy0g0mt8LA
Ҩత'.ԻݯNAOMASA MATSUBAYASHI
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Ҩత'.Իݯ
ܭࢉػͰԻָΛԋ͢Δʹ͜͜Λԡ͢ ͜͏εϐʔΧʔΛৼಈͤ͞Δม͜ͷมੲͷܭࢉػʹਏָ͔ͬͨේσʔλ ܗσʔλ
ม͜ͷมੲͷܭࢉػʹਏָ͔ͬͨේσʔλ ܗσʔλ͜ͷมΛߦͳ͏ઐ༻ϋʔυΣΞ͕ొήʔϜػͱ͔ʹΑ͘ࡌ͍ͬͯͨ
Ի֊ͷҧ͍पͷҧ͍Ͱ͋Δυ $ Ϩ % ϛ & ϑΝ ' ι ( ϥ " γ # υ $
$$$$ඵඵඵඵඵඵϐΞϊͷ$ͷԻͷपղੳͷ݁Ռ$ $
$$$$ඵඵඵඵඵඵϐΞϊͷ$ͷԻͷपղੳͷ݁Ռ$ $$ͷप)[ۙʹεϖΫτϧઢ͕ݟΒΕΔجԻ
$$$$ඵඵඵඵඵඵϐΞϊͷ$ͷԻͷपղੳͷ݁Ռ$ $جԻͷഒͷपʹεϖΫτϧઢ͕ݟΒΕΔഒԻ
͜ͷύλʔϯ͕܁Γฦ͞Ε͍ͯΔجԻഒԻഒԻЄ͋Δ͕ؔपGͱͦͷഒͷͷΈߏ͞ΕΔͳΒͦͷؔपGͷपظؔͰ͋Δ
$$$$ඵඵඵඵϚϦϯόͷ$ͷԻͷपղੳͷ݁Ռ$ $
伴൫ͷυ͕ԡ͞Ε͔ͨ࣌ΒܗԿͰྑ͍͔Βप)[ͷपظؔΛεϐʔΧʔʹྲྀͤԻָΛԋͨ͠ࣄʹͳΔ
$$ $ $ $ݹయతͳԻݯνοϓϋʔυΣΞͰ؆୯ʹ࡞ΕΔपظؔΛͬͯԻָΛԋͨ͠
͜Ε͚ͩͰਖ਼͍͠Ի֊Ͱԋ͢Δࣄग़དྷΔͰ͏গ͠ຊͷָثͬΆ͍ԻΛग़͍ͨ͠
ϐΞϊ ࡾ֯ͭΑ͍ΑΘ͍ϐΞϊͷԻ࣌ؒͱͱʹঃʑʹখ͘͞ͳ͍ͬͯΔ
$$ $ $ $Τϯϕϩʔϓ໐Γ࢝Ί͔Βͷ࣌ؒʹΑͬͯৼ෯ΛมԽͤ͞Α͏ͭΑ͍ΑΘ͍
ϐΞϊ ࡾ֯ഒԻ͕ҧ͏ָثͷԻ৭ͷҧ͍ഒԻͷҧ͍
ഒԻʹରԠ͢ΔपͷαΠϯΛॏͶ͍͚ͯҙਤͨ͠ഒԻΛؚΉԻ৭ʹͳΔ͕
ഒԻࢁ͋Δ͔Β·ͱΊͯίϯτϩʔϧ͢ΔΈ͕ཉ͍͠
पมௐ '.৴߸ͷʹ͋Θͤͯൖૹͷप͕༳ΕΔ৴߸ͷ෦ΛԻ৴߸ͱͯ͠ԻͷपΑΓͣͬͱߴ͍7)'ଳͷपΛТDͱͯ͠มௐ͢ΔࣄͰԻΛ7)'ଳͷిʹͤͯඈ͢ͷ͕'.ϥδΦൖૹ ৴߸
Ի৴߸ͷৼ෯ʹґଘͤͣৗʹ࠷େͷৼ෯ͰిΛඈͤΔ͔Β".ϥδΦΑΓ҆ఆ࣭ͨ͠ͷԻΛड͚औΕΔपมௐ '.
৴߸ͷपТTͱൖૹͷपТD͕͍ۙͱ৴߸ൖૹͷܗΛ·ͤΔΑ͏ͳಇ͖Λ͢Δपมௐ '.
৴߸ͷपТTͱൖૹͷपТD͕͍ۙͱ৴߸ൖૹͷܗΛ·ͤΔΑ͏ͳಇ͖Λ͢Δܗ͕ΉഒԻ͕૿ݮ͢Δपมௐͷύϥϝʔλͷૢ࡞ͰഒԻΛ·ͱΊͯίϯτϩʔϧग़དྷΔͷͰ'.Իݯ
$$ $ $ $ЋΛม͑ͳ͕ΒपղੳΛߦͳͬͨ݁ՌЋഒԻͷେ͖͞Λௐઅ
ഒഒഒഒഒഒ$$ $ $ $ТTΛม͑ͳ͕ΒपղੳΛߦͳͬͨ݁ՌТTഒԻͷִؒΛௐઅ
ϐΞϊͷԻ৭ߴप΄Ͳૣ͘ݮਰ͢Δ͜ͷଟ͘ͷΞίʔεςΟοΫͳָثͰݟΒΕΔ
ൖૹͱ৴߸ͷ྆ํʹΤϯϕϩʔϓΛઃ͚ΔൖૹଆͷΤϯϕϩʔϓԻྔͷ࣌ؒมԽΛදݱ৴߸ଆͷΤϯϕϩʔϓഒԻͷ࣌ؒมԽΛදݱ
ΦϖϨʔλΦϖϨʔλ ΦϖϨʔλΦϖϨʔλൖૹͱ৴߸ͷஈ͚ͩͱ͔ݴΘͣԿஈॏͶΒΕΔΑ͏ʹ͢ΕͬͱෳࡶͳԻ৭͕࡞ΕΔΑ
$$ $ $ $'.ԻݯഒԻ͕࣌ؒมԽ͢ΔΞίʔεςΟοΫͳָثͷΑ͏ͳԻ৭Λग़ͤΔ
'.ԻݯΞίʔεςΟοΫͳָثͷಛΛগͳ͍ύϥϝʔλͰදݱग़དྷΔѱ͘ͳ͍ϞσϧͰ͋Δ
Կނ'.Իݯ໓Μͩͷ͔
OΦϖϨʔλͷ'.ԻݯͷܭࢉࣜOΦϖϨʔλ&JΤϯϕϩʔϓTJجԻͷपʹର͢ΔഒЋJKΦϖϨʔλK͕ΦϖϨʔλJΛมௐ͢Δڧ͞ЌJग़ྗʹؚ·ΕΔΦϖϨʔλJͷ৴߸ͷׂ߹
Ͳ͜Λ͍ͬͨ͡Βཉָ͍͠ثͷԻ৭ʹۙ͘ͷ͔ͬ͞ͺΓΘ͔ΒΜOΦϖϨʔλͷ'.Իݯͷܭࢉࣜ
ͷ'.ԻݯͷԻ࡞Γख़࿅ͷ৬ਓͷΧϯΛཁ͢ΔͷͰ͋ͬͨ
'.ԻݯͷϘτϧωοΫਓؒ'.ԻݯͷԻ࡞Γ͔Β৬ਓܳΛཁΒͳ͘͠Α͏
ୈੈҨతΞϧΰϦζϜϥϯμϜʹੜͨ͠ݸମ͔Β༩͑ΒΕͨ݅ʹΑΓద߹͢ΔҰ෦͚ͩΛੜଘͤ͞Δ
ୈੈୈੈҨతΞϧΰϦζϜੜ͖ͬͨݸମͷใΛࠞͥ߹ΘͤͯੈΛ࡞Δ
ୈੈୈੈҨతΞϧΰϦζϜੈͷதͰ༩͑ΒΕͨ݅ʹΑΓద߹͢ΔҰ෦͚ͩΛੜଘͤ͞Δ
ୈੈୈੈୈੈҨతΞϧΰϦζϜੜ͖ͬͨݸମͷใΛࠞͥ߹ΘͤͯੈΛ࡞Δ
ୈੈୈੈୈੈҨతΞϧΰϦζϜ͜ͷૢ࡞Λ܁Γฦ͢͜ͱʹΑͬͯ༩͑ΒΕͨ݅ʹΑ͘ద߹͢ΔݸମΛݟ͚ͭग़͢͜ͱ͕Ͱ͖Δ
'.ԻݯͷύϥϝʔλΛҨࢠͱͯ͠'.ԻݯΛ໐Βͨ݁͠ՌͱαϯϓϦϯάԻ͕͍ۙݸମΛੜଘͤ͞ΕαϯϓϦϯάԻʹ͍ۙԻΛग़͢ύϥϝʔλ͕ಘΒΕΔͷͰԻͷۙ͞ͱ
͜ͷͭͷԻɺฉ͖͚ΒΕ·͔ͦ͢ͷԻԻ
֎ࣖ தࣖࣖԻڇಛఆͷपͰڧ͍৴߸Λൃ͢Δ༗ໟࡉ๔͕पຖʹࢁฒΜͰ͍Δपຖͷৼ෯ͷେ͖͞ޑບͱͷؒʹपྖҬͷม͕ڬ·͍ͬͯΔ
ਓؒͷௌ֤֮पͷͷৼ෯͚ͩΛฉ͍͍ͯͯҐ૬Λฉ͍͍ͯͳ͍ͷഒԻͷҐ૬͕ͣΕ͍ͯΔ͕ͦͷࣄΛ֮͢Δࣄग़དྷͳ͍
͍ۙԻͱಉ࣌ؒ͡ଳʹಉ͡Α͏ͳܗʹͳ͍ͬͯΔԻಉ࣌ؒ͡ଳʹಉ͡Α͏ͳपͷΛؚΜͰ͍ΔԻ
ҨతΞϧΰϦζϜޯͷແ͍ॴͰϥϯμϜͳࢼߦʹͳΔ͜͜ʹεϖΫτϧઢ͕ग़ΔԻ͜͜ʹεϖΫτϧઢ͕ग़ΔԻͲͪΒతؔͱશ͘ҟͳΔͨΊಉ͡దԠ
ҨతΞϧΰϦζϜޯͷແ͍ॴͰϥϯμϜͳࢼߦʹͳΔָثͷԻ৭ͷεϖΫτϧݶΒΕͨपʹύϧεঢ়ʹݱΕΔҝ୯७ʹεϖΫτϧը૾ಉ࢜ͷൺֱΛߦͳ͏ͱҨతΞϧΰϦζϜ͕ہॴ࠷దղʹऩଋ͘͢͠ͳΔ
ஈ֊ஈ֊ஈ֊ஈ֊ஈ֊ஈ֊ஈ֊࠷ॳղೳͷ͍पղੳͰൺֱΛߦͳ͏ݱࡏͷղೳͰ࠷େదԠ͕Ұఆճߋ৽͞Εͳ͔ͬͨΒ࣍ͷղೳʹਐΉ
αϯϓϦϯάԻΛपղੳϥϯμϜͳҨࢠΛੜ֤ҨࢠΛ'.ԻݯͰԋ֤ҨࢠͷԻΛपղੳҰ༷ަ伹ͱಥવมҟͰҨࢠΛੜαϯϓϦϯάԻͱͷڑΛܭࢉϧʔϨοτબͰݸମΛݫબ࠷େղೳͰ্ҐʹมԽ͕ݟΒΕͳ͍͍͍͍͑ղೳΛ্͛Δ͔Ͳ͏͔Λஅ
αϯϓϦϯάԻΛपղੳϥϯμϜͳҨࢠΛੜ֤ҨࢠΛ'.ԻݯͰԋ֤ҨࢠͷԻΛपղੳҰ༷ަ伹ͱಥવมҟͰҨࢠΛੜαϯϓϦϯάԻͱͷڑΛܭࢉϧʔϨοτબͰݸମΛݫબ࠷େղೳͰ্ҐʹมԽ͕ݟΒΕͳ͍͍͍͍͑ղೳΛ্͛Δ͔Ͳ͏͔ΛஅαϯϓϦϯάԻ͕։࢝ԿඵͰ伴൫Λԡͯ͠ /05&0/։࢝ԿඵͰ伴൫Λͨ͠ͷ͔ /05&0''ͷใ͕ແ͍ͱಉ͡Α͏ʹԋͰ͖ͳ͍
τϥϯϖοτͷΤϯϕϩʔϓΛ࣌ؒඍͨ͠ͷ੨ऴ͔Βͷccͷ࠷খͱऴ͔Βͷڑͷੵ
੨͕࠷େʹͳΔҹͷҐஔΛ/05&0''ͱ͢Δ
'.ԻݯͰԋMPHεέʔϧʹมը૾Λൺֱ ΤϯϕϩʔϓΛൺֱܗσʔλ'.ԻݯͷύϥϝʔλϑʔϦΤม࣌ࠁຖʹ૯ΛͱΔԻྔͷ࣌ؒมԽ࣌ؒຖͷεϖΫτϧεϖΫτϧը૾पͷͣΕ Իྔͷ࣌ؒมԽͷͣΕԻ৭ͷڑ
࣮ࡍͷαοΫεͷԻ
ੈ࣮ࡍͷαοΫεͷԻ
࣮ࡍͷαοΫεͷԻੈ
ԣҰྻΛٻΊΔͷʹճͷࢄϑʔϦΤมͦΕΛ࣌ؒํͷղೳ͚ͩͦΕΛݸମͦΕΛղ͕ऩଋ͢Δ·Ͱ෮ͷੌ͕͔͔࣌ؒ͘Δ
$ ./find_fm_params -i ./Piano.mf.C3.aiff -o out-n 36!real 1681m6.281s!user 6494m54.098s!sys 72m33.467s!$࣌ؒඵ04 (FOUPP-JOVYY@ MJOVYίϯύΠϥ ($$''5ʹ༻ͨ͠ϥΠϒϥϦ ''58 ୯ਫ਼ɺ0QFO.1ରԠɺ"79ରԠ$16 *OUFM$PSFJ 4LZMBLF()[ίΞϝϞϦ (#αϯϓϦϯάσʔλͷ͞ ඵ L)[ऴྃ݅ ੈΛٻΊͨΒऴྃ
Կͱ͔ͯ͘͠Ͱ͖ͳ͍͔
ܭࢉࢿݯͷྗͰղܾ
'.ԻݯͰԋMPHεέʔϧʹมը૾Λൺֱ ΤϯϕϩʔϓΛൺֱܗσʔλ'.ԻݯͷύϥϝʔλϑʔϦΤม࣌ࠁຖʹ૯ΛͱΔԻྔͷ࣌ؒมԽ࣌ؒຖͷεϖΫτϧεϖΫτϧը૾पͷͣΕ Իྔͷ࣌ؒมԽͷͣΕԻ৭ͷڑ(1(16ͷమଇ(16͕σʔλΛॲཧ͢Δ͞ʹରͯ͠1$*&YQSFTT͍͜͜Λ௨Δσʔλ࠷খݶʹ
'.ԻݯͰԋMPHεέʔϧʹมը૾Λൺֱ ΤϯϕϩʔϓΛൺֱܗσʔλ'.ԻݯͷύϥϝʔλϑʔϦΤม࣌ࠁຖʹ૯ΛͱΔԻྔͷ࣌ؒมԽ࣌ؒຖͷεϖΫτϧεϖΫτϧը૾पͷͣΕ Իྔͷ࣌ؒมԽͷͣΕԻ৭ͷڑ(1(16ͷమଇ(164*.%ͷԽ͚ฒྻΛՔ͕ͳ͍ͱੑೳ͕ग़ͳ͍QBSBMMFMPSEJF
'.ԻݯͰԋMPHεέʔϧʹมը૾Λൺֱ ΤϯϕϩʔϓΛൺֱܗσʔλ'.ԻݯͷύϥϝʔλϑʔϦΤม࣌ࠁຖʹ૯ΛͱΔԻྔͷ࣌ؒมԽ࣌ؒຖͷεϖΫτϧεϖΫτϧը૾पͷͣΕ Իྔͷ࣌ؒมԽͷͣΕԻ৭ͷڑখ͍͞খ͍͞
'.ԻݯͰԋMPHεέʔϧʹมը૾Λൺֱ ΤϯϕϩʔϓΛൺֱܗσʔλ'.ԻݯͷύϥϝʔλϑʔϦΤม࣌ࠁຖʹ૯ΛͱΔԻྔͷ࣌ؒมԽ࣌ؒຖͷεϖΫτϧεϖΫτϧը૾पͷͣΕ Իྔͷ࣌ؒมԽͷͣΕԻ৭ͷڑϦϦʔεΞλοΫΛਪఆ͢ΔʹԻྔͷ࣌ؒมԽΛઢܗʹᢞΊΔඞཁ͕͋ΓฒྻԽʹ͕ཁΓͦ͏
'.ԻݯͰԋMPHεέʔϧʹมը૾Λൺֱ ΤϯϕϩʔϓΛൺֱܗσʔλ'.ԻݯͷύϥϝʔλϑʔϦΤม࣌ࠁຖʹ૯ΛͱΔԻྔͷ࣌ؒมԽ࣌ؒຖͷεϖΫτϧεϖΫτϧը૾पͷͣΕ Իྔͷ࣌ؒมԽͷͣΕԻ৭ͷڑϧʔϓόοΫ͖ͷ'.Իݯ࣌ࠁUͷΛܾఆ͢Δҝʹ࣌ࠁUͷΦϖϨʔλͷঢ়ଶ͕ඞཁʹͳΔͨΊฒྻԽʹ͕ཁΓͦ͏
'.ԻݯͰԋMPHεέʔϧʹมը૾Λൺֱ ΤϯϕϩʔϓΛൺֱܗσʔλ'.ԻݯͷύϥϝʔλϑʔϦΤม࣌ࠁຖʹ૯ΛͱΔԻྔͷ࣌ؒมԽ࣌ؒຖͷεϖΫτϧεϖΫτϧը૾पͷͣΕ Իྔͷ࣌ؒมԽͷͣΕԻ৭ͷڑେ͖͍খ͍ͦͦ͜͜͞ฒྻԽ͕؆୯ͦ͏ͳઢͷൣғΛ(16ʹͬͯΒ͏
'.ԻݯͰԋMPHεέʔϧʹมը૾Λൺֱ ΤϯϕϩʔϓΛൺֱܗσʔλ'.ԻݯͷύϥϝʔλϑʔϦΤม࣌ࠁຖʹ૯ΛͱΔԻྔͷ࣌ؒมԽ࣌ؒຖͷεϖΫτϧεϖΫτϧը૾पͷͣΕ Իྔͷ࣌ؒมԽͷͣΕԻ৭ͷڑOWJEJBۘͷ''5ϥΠϒϥϦDV⒎UͰย͚Δ
__device__ void output_comp_cb(!void *dataOut, size_t offset, cufftComplex element,!void *callerInfo, void *sharedPtr!) {!fft_detail *detail = (fft_detail*)callerInfo;!const size_t index =!offset % ( (detail->resolution/2) + 1 );!const size_t batch =!detail->batch_offset + offset /!( (detail->resolution/2) + 1 );!if( index < detail->width ) {!if( batch < detail->reference_batch_count ) {!const float value = cuCabsf( element );!atomicAdd( detail->envelope + batch, value );!const float log_value_ =!80.f * __log10f( value < 1.f ? 1.f : value );!const int log_value =!log_value_ > 255.f ?!int( 255 ) : int( log_value_ );!atomicAdd( &detail->diff, float( __sad(!log_value,!int( detail->reference[ index + detail->width * batch ] ),!0!) ) );!}!else {!''5ޙͷग़ྗʹίʔϧόοΫΛઃఆ
void *dataOut, size_t offset, cufftComplex element,!void *callerInfo, void *sharedPtr!) {!fft_detail *detail = (fft_detail*)callerInfo;!const size_t index =!offset % ( (detail->resolution/2) + 1 );!const size_t batch =!detail->batch_offset + offset /!( (detail->resolution/2) + 1 );!if( index < detail->width ) {!if( batch < detail->reference_batch_count ) {!const float value = cuCabsf( element );!atomicAdd( detail->envelope + batch, value );!const float log_value_ =!80.f * __log10f( value < 1.f ? 1.f : value );!const int log_value =!log_value_ > 255.f ?!int( 255 ) : int( log_value_ );!atomicAdd( &detail->diff, float( __sad(!log_value,!int( detail->reference[ index + detail->width * batch ] ),!0!) ) );!}!else {!const float value = cuCabsf( element );!Իྔͷ࣌ؒมԽʹݱࡏͷΛՃࢉ
) {!fft_detail *detail = (fft_detail*)callerInfo;!const size_t index =!offset % ( (detail->resolution/2) + 1 );!const size_t batch =!detail->batch_offset + offset /!( (detail->resolution/2) + 1 );!if( index < detail->width ) {!if( batch < detail->reference_batch_count ) {!const float value = cuCabsf( element );!atomicAdd( detail->envelope + batch, value );!const float log_value_ =!80.f * __log10f( value < 1.f ? 1.f : value );!const int log_value =!log_value_ > 255.f ?!int( 255 ) : int( log_value_ );!atomicAdd( &detail->diff, float( __sad(!log_value,!int( detail->reference[ index + detail->width * batch ] ),!0!) ) );!}!else {!const float value = cuCabsf( element );!atomicAdd( detail->envelope + batch, value );!const float log_value_ =!80.f * __log10f( value < 1.f ? 1.f : value );!ϦϑΝϨϯεͷεϖΫτϧը૾ͱͷͣΕΛٻΊͯڑʹՃࢉ
$ ./find_fm_params -i ./Piano.mf.C3.aiff -o out-n 36!real 145m51.199s!user 126m37.108s!sys 18m57.556s!$࣌ؒඵ04 (FOUPP-JOVYY@ MJOVYίϯύΠϥ OWDD''5ʹ༻ͨ͠ϥΠϒϥϦ $V''5$16 *OUFM$PSFJ 4LZMBLF()[ίΞ(16 OWJEJB(F'PSDF(59()[$6%"ίΞϝϞϦ IPTU(#EFWJDF(#αϯϓϦϯάσʔλͷ͞ ඵ L)[ऴྃ݅ ੈΛٻΊͨΒऴྃ
ຊͷϑϧʔτͷԻ'.ԻݯͷϑϧʔτͷԻ
ຊͷτϥϯϖοτͷԻ'.ԻݯͷτϥϯϖοτͷԻ
ຊͷϐΞϊͷԻ'.ԻݯͷϐΞϊͷԻ
·ͱΊҨతΞϧΰϦζϜͰ'.ԻݯͷύϥϝʔλΛٻΊΔ৬ਓܳཁΒͳ͍ཁΔͷ(16͜Ε͕ੈلͷ'.Իݯͷ͍ํ
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