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