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単純パーセプトロンで遊んでみたかった
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sug1t0m0
April 05, 2019
Technology
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単純パーセプトロンで遊んでみたかった
sug1t0m0
April 05, 2019
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Transcript
୯ύʔηϓτϩϯͰ༡ΜͰΈ͔ͨͬͨ (ػցֶशΛجૅ͔Βֶͼ͍ͨ) @sug1t0m0_agrict
ύʔηϓτϩϯͬͯԿʁ • ػցֶशΞϧΰϦζϜͷجૅ • ࢹ֮ͱͷػೳΛϞσϧԽ • ਓχϡʔϩϯͷ1छ • ϑϥϯΫɾϩʔθϯϒϥου͕ߟҊ(1958)
χϡʔϩϯͬͯԿʁ • χϡʔϩϯ: ͷਆܦࡉ๔ by Wilhelm Waldeyer(1891) • थঢ়ಥى: ଞͷਆܦͷγφϓε͔Βࡉ๔ମ෦ʹ৴߸Λೖྗ
• ࡉ๔ຊ෦: ೖྗ৴߸Λͱʹܭࢉ • γφϓε: ࣠ࡧΛ௨͖ͬͯͨܭࢉ݁ՌΛଞͷχϡʔϩϯʹୡ
χϡʔϩϯͷग़ྗύλʔϯ1bit • ݁߹ՙॏ: γφϓε͝ͱͷୡޮ • Ϣχοτ: ͖͍͠Λ͑ͨΒtrue, ͑ͳ͔ͬͨΒfalse ೖྗ1 (ଞͷਆܦࡉ๔ͷγφϓε)
ೖྗ2 (ଞͷਆܦࡉ๔ͷγφϓε) ग़ྗ(࣠ࡧ) ݁߹ՙॏ1(थঢ়ಥى) ݁߹ՙॏ2(थঢ়ಥى) ׆ੑԽؔ Ϣχοτ(ࡉ๔ମ)
ͱͯ୯७
ϞσϧΛࣜԽͯ͠ΈΑ͏ • u : ૯ೖྗ(net input) x1 y w1 w2
x2 ɾɾɾ ɾɾɾ wn xn f(u) = { 1 (u ≥ 0) 0 (u < 0) u = x1 w1 + x2 w2 + . . . + xn wn = n ∑ i=1 xi wi
݁߹ՙॏw͕มԽ͢Δͱ૯ೖྗuมԽ u = x1 w1 + x2 w2 + .
. . + xn wn = n ∑ i=1 xi wi = xTw
ύʔηϓτϩϯ Ͳ͏ֶͬͯश͢Δͷʁ
• ݁߹ՙॏwj εςοϓ͝ͱʹߋ৽ • Δwj ύʔηϓτϩϯͷֶशنଇʹجͮ͘(i൪ͷֶशαϯϓϧ) • ਪ͕ؒҧ͍ͬͯͨ߹ͷΈΛߋ৽ ݁߹ՙॏwΛߋ৽͢Δ wj
:= wj + Δwj Δwj = η(y(i) − ̂ y(i))x(i) j
શମ૾