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[null,1,null,null,null,1,null,null,null,null,null,1,null,null,null,null,null,null,null,1,null,null,null,null,null,1,null,null,1,null,null,null,null,1,null,null,null,null,null,null,null,1,1,null,1,1,null,null,null,1,1,null,null,1]
[null,1,null,null,null,1,null,null,null,null,null,1,null,null,null,null,null,null,null,1,null,null,null,null,null,1,null,1,null,null,null,null,null,1,null,null,null,null,null,null,null,1,null,1,null,1,null,null,null,1,null,1,null,1]
[null,1,1,1,1,1,null,null,null,null,null,1,null,null,null,null,null,null,null,1,null,null,null,null,null,1,1,null,null,null,null,null,null,1,null,null,null,null,null,null,null,1,null,1,null,1,null,null,null,1,null,1,null,1]
[null,1,null,null,null,1,null,null,null,null,null,1,null,null,null,null,null,null,null,1,null,null,null,null,null,1,null,1,null,null,null,null,null,1,null,null,null,null,null,null,null,1,null,null,null,1,null,null,null,1,null,1,null,1]
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[null,null,1,1,1,null,null,null,null,1,null,null,null,null,null,null,null,null,1,1,1,null,null,null,null,1,null,null,null,1,null,null,null,null,1,1,1,null,null,null,null,null,null,1,null,null,null,null,null,null,1,1,1]
[]
[]
[]
[null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,1,1,1,1,1]
[null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,null,null,null,null,1]
[null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,null,1,null,1,null,null,null,null,null,1,null,1,null,null,null,null,null,null,null,1]
[null,1,null,null,null,1,null,null,null,1,null,null,null,1,null,null,null,null,null,1,null,null,null,null,null,null,null,1,null,null,null,null,null,null,null,1]
[null,1,null,null,null,1,null,null,null,1,null,1,null,1,null,null,null,null,1,null,1,null,null,null,null,null,null,1,null,null,null,null,null,null,1]
[null,null,1,null,1,null,null,null,null,1,null,1,null,1,null,null,null,1,null,null,null,1,null,null,null,null,null,1,null,null,null,null,null,1]
[null,null,null,1,null,null,null,null,null,null,1,null,1,null,null,null,null,1,null,null,null,1,null,null,null,null,null,1,null,null,null,null,null,1,1,1,1,1,null,null,null,null,"Copyright© 2015　ASAI Noboru"]

{"sheet":"Perceptron","index":1,"n_rows":58,"n_cols":42,"rows_kept":58,"cut":false,"hidden":false,"merged":[]}
["Perceptronによる文字認識",null,null,null,null,null,null,null,null,null,null,null,"Copyright© 2015　ASAI Noboru"]
[]
["Bit Pattern Matrix : M",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"No.","Output : P"]
["A",0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1]
["B",1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,21,1,0,1,0,1]
["C",0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,5,0,0,1,0,1]
["D",1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,19,1,0,0,1,1]
["E",1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,26,1,1,0,1,0]
["F",1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,25,1,1,0,0,1]
["G",0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,6,0,0,1,1,0]
["H",1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,15,0,1,1,1,1]
["I",0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,1,0]
["J",0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,3,0,0,0,1,1]
["K",1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,16,1,0,0,0,0]
["L",1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,9,0,1,0,0,1]
["M",1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,18,1,0,0,1,0]
["N",1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,17,1,0,0,0,1]
["O",0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,7,0,0,1,1,1]
["P",1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,20,1,0,1,0,0]
["Q",0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,8,0,1,0,0,0]
["R",1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,22,1,0,1,1,0]
["S",0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,4,0,0,1,0,0]
["T",1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,24,1,1,0,0,0]
["U",1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,13,0,1,1,0,1]
["V",1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,12,0,1,1,0,0]
["W",1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,14,0,1,1,1,0]
["X",1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,11,0,1,0,1,1]
["Y",1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,10,0,1,0,1,0]
["Z",1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,23,1,0,1,1,1]
[]
["手順"]
[null,"7×5のDot Patternで26文字を識別するので、出力に必要なビット数は5bitsあればよい。"]
[null,"線形分離可能となるように、OutputパターンPを決める（ここが難しい）"]
[null,"仮に、文字のビットパターンを2進数とみなしたとき、小さい順にNo.をふり、この２進展開をPとする。"]
[]
[null,"このときMW=P　となるような重み配列Wを求める。線形分離可能ならばWは収束する。"]
[null,"Mは26×35、Rは26×5　なので、Wは35×5"]
[null," i.e. 中間層(Associator) 35 nodes、Output 5 nodesのPerceptronとみなせる。(入力は中間層と一対一）"]
[]
[null,"Wの計算は教師信号（P）に一致するまで以下を繰り返す：－"]
[null,null,"①積和演算結果が正なら1, そうでなければ0"]
[null,null,"②教師信号（R）との誤差があればWに反映して再計算"]
[]
[null,"想起演算は、任意の入力 a (1×35のベクトル）に対し、i = aW (1×5のベクトル）が文字indexを示す。"]
[null,"入力パターンは2**35通り（十進10桁以上）あるが、i = 1～n (n≦26) 以外は認識不可能なことを示す。"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,"Sensor",null,null,null,"Associator",null,null,null,null,null,null,null,null,null,"Output"]
[null,null,null,null,null,null,null,"35nodes",null,null,null,"35nodes",null,null,null,null,null,null,null,null,null,"5nodes"]
[null,null,null,null,null,null,null,"入力パッド等"]

{"sheet":"Percep","index":2,"n_rows":128,"n_cols":43,"rows_kept":128,"cut":false,"hidden":false,"merged":[[116,23,116,29],[31,29,31,33],[75,36,76,40],[79,36,80,40],[83,36,84,40],[113,23,113,24]]}
["Ex.1",null,"Perceptronによる文字認識",null,null,null,null,null,null,null,null,null,null,null,"Copyright© 2015　ASAI Noboru"]
["【学習】"]
["①記憶する文字を\"*\"で選択し、Filterボタンを押す。",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"[Filter]",null,null,null,null,"やり直す場合は",null,null,null,null,null,"[Clear]"]
["↓","Original Bit Pattern Matrix",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"No.","Output"]
["*","A",0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1]
["*","B",1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,21,1,0,1,0,1]
[null,"C",0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,5,0,0,1,0,1]
[null,"D",1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,19,1,0,0,1,1]
[null,"E",1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,26,1,1,0,1,0]
[null,"F",1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,25,1,1,0,0,1]
[null,"G",0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,6,0,0,1,1,0]
[null,"H",1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,15,0,1,1,1,1]
[null,"I",0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,1,0]
[null,"J",0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,3,0,0,0,1,1]
[null,"K",1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,16,1,0,0,0,0]
[null,"L",1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,9,0,1,0,0,1]
[null,"M",1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,18,1,0,0,1,0]
[null,"N",1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,17,1,0,0,0,1]
[null,"O",0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,7,0,0,1,1,1]
[null,"P",1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,20,1,0,1,0,0]
[null,"Q",0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,8,0,1,0,0,0]
[null,"R",1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,22,1,0,1,1,0]
[null,"S",0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,4,0,0,1,0,0]
[null,"T",1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,24,1,1,0,0,0]
[null,"U",1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,13,0,1,1,0,1]
[null,"V",1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,12,0,1,1,0,0]
[null,"W",1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,14,0,1,1,1,0]
[null,"X",1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,11,0,1,0,1,1]
[null,"Y",1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,10,0,1,0,1,0]
[null,"Z",1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,23,1,0,1,1,1]
[]
["②記憶パターンを連続領域に抽出(Filterボタンで生成）",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"記憶パターン数 n",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"教師信号 P"]
[null,"Bit Pattern Matrix： M (n×35)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," (n×5)"]
[]
[]
[]
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[]
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[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
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[]
["③重み配列に任意の初期値を設定する。乱数で自動設定する場合は、Initボタンを押す。"]
["④重み配列の学習を行う。学習回数Maxセルを設定後、Weightボタンを押す。"]
["　 4-1) 記憶パターン（M）と重み配列（作業配列X）の行列積の符号関数（正なら1、0か負なら0）の値 Y=sgn(MX)"]
["　 4-2) 教師信号との誤差P-Yを求め、0なら学習終わり"]
["　 4-3) 誤差P-Yが0でなければ、誤差訂正学習： X <- X + MT*(P-Y)　4-1)に戻る。"]
["⑤重み配列を再設定する場合は、Resetボタンを押し、③からやり直す。"]
[]
[null,null,"初期配列 W",null,null,null,null,null,null,null,null,"重み配列 X",null,null,null,null,null,null,null,null,"Y=sgn(M*X)",null,null,null,null,null,null,null,"誤差 P-Y"]
[null,null," (35×5)",null,null,null,null,null,null,null,null," (35×5)",null,null,null,null,null,null,null,null," (n×5)",null,null,null,null,null,null,null," (n×5)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"[Init]",null,null,null,"W初期化"]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"[Weight]",null,null,null,"X学習"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"学習回数 Max"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"学習収束結果"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"実際の学習回数"]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"[Reset]",null,null,null,"Wクリア"]
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["【想起】"]
["⑥想起したい文字パターン（7×5）を入力する。"]
["　 下記入力パターン枠内に ■（セル塗りつぶし） で入力後、Inputボタンを押すと、作業ベクトルに展開される。"]
[]
[null,null,"入力パターン",null,null,null,null,null,null,null,null,null,null,null,null,"想起パターン",null,null,null,null,null,null,null,"想起信号"]
[null,null,null,null,null,null,null,null,null,"[Input]"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"想起文字"]
[null,null,null,null,null,null,null,null,null,"[Recall]"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"想起結果"]
[null,null,null,null,null,null,null,null,null,"[Retry]"]
[]
[null,null,"作業ベクトル a"]
[]
[]
["⑦想起演算を行う。Recallボタンを押す。"]
["　 作業ベクトル a と重み配列の積 aX が想起信号に表示される。"]
["　 想起信号が、教師信号のいずれかの行に一致すれば想起成功、一致するものがなければ失敗"]
[]
["⑧再度想起を行うには、Retryボタンを押し、⑥に戻る。"]
[]
["⑨記憶文字パターンを変更してやり直すには、Clearボタンを押し、①に戻る。",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"[Clear]"]

{"sheet":"ReadMe","index":3,"n_rows":14,"n_cols":4,"rows_kept":14,"cut":false,"hidden":false,"merged":[]}
["このファイルは以下の書籍の該当シミュレーションのためのダウンロードファイルです。"]
["　淺井登著　「はじめての人工知能　Excelで体験しながら学ぶAI」 "]
["　　　　　　　　第２章　ニューラルネットワーク／パーセプトロンによる文字認識"]
[]
["版","登録日","作成者","備考"]
["v1_0","2016-03-07","淺井登","初版"]
[]
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["シミュレーションの内容と背景については、上記書籍の第２章をご参照ください。"]
[]
["VBAマクロの構成については、下記に関数の呼出し関係を示します。詳細はマクロのコメントをご参照ください。"]