Python 3
import kerasfrom keras import layersimport numpy as npUsing Theano backend.
model = keras.Sequential()model.add(layers.BatchNormalization(input_shape=(2,)))optimizer = keras.optimizers.SGD(lr=0.1)model.compile(optimizer=optimizer, loss='mse')xxxxxxxxxxTrenujemy naszą warstwę BN tak, aby przesuwała o 3.14 pierwszą współrzędną oraz mnożyła przez -0.1 drugą. Poniżej multiplier ma na celu zniwelowanie efektów związanych z nieobciążonym estymatorem dla wariancji.Trenujemy naszą warstwę BN tak, aby przesuwała o 3.14 pierwszą współrzędną oraz mnożyła przez -0.1 drugą. Poniżej multiplier ma na celu zniwelowanie efektów związanych z nieobciążonym estymatorem dla wariancji.
multiplier = 1000x = np.array([[-1.0,-30.0], [1.0, 30.0], [0.0, -30.0], [0.0,30.0]] * multiplier)y = np.array([[2.14,3.0], [4.14, -3.0], [3.14, 3.0], [3.14,-3.0]] * multiplier)model.fit(x, y, batch_size=multiplier, epochs=500)Epoch 1/500 4000/4000 [==============================] - 0s 1us/step - loss: 9.7232 Epoch 2/500 4000/4000 [==============================] - 0s 2us/step - loss: 4.1890 Epoch 3/500 4000/4000 [==============================] - 0s 4us/step - loss: 1.8037 Epoch 4/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.7780 Epoch 5/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.3351 Epoch 6/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.1491 Epoch 7/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0650 Epoch 8/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0299 Epoch 9/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0122 Epoch 10/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0134 Epoch 11/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0060 Epoch 12/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0027 Epoch 13/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0049 Epoch 14/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0018 Epoch 15/500 4000/4000 [==============================] - 0s 7us/step - loss: 0.0051 Epoch 16/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0026 Epoch 17/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0033 Epoch 18/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0018 Epoch 19/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0080 Epoch 20/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0010 Epoch 21/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0032 Epoch 22/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0065 Epoch 23/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0049 Epoch 24/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0026 Epoch 25/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0048 Epoch 26/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0029 Epoch 27/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0037 Epoch 28/500 4000/4000 [==============================] - 0s 7us/step - loss: 6.5138e-04 Epoch 29/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0038 Epoch 30/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0029 Epoch 31/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0020 Epoch 32/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0027 Epoch 33/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0084 Epoch 34/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0059 Epoch 35/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0027 Epoch 36/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0074 Epoch 37/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0013 Epoch 38/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0072 Epoch 39/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0040 Epoch 40/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0060 Epoch 41/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0099 Epoch 42/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0044 Epoch 43/500 4000/4000 [==============================] - 0s 4us/step - loss: 7.1155e-04 Epoch 44/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0027 Epoch 45/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0056 Epoch 46/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0060 Epoch 47/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0038 Epoch 48/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0048 Epoch 49/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0019 Epoch 50/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0016 Epoch 51/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0040 Epoch 52/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0085 Epoch 53/500 4000/4000 [==============================] - 0s 6us/step - loss: 0.0111 Epoch 54/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0053 Epoch 55/500 4000/4000 [==============================] - 0s 4us/step - loss: 4.9071e-04 Epoch 56/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0029 Epoch 57/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0015 Epoch 58/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0052 Epoch 59/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0056 Epoch 60/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0020 Epoch 61/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0041 Epoch 62/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0076 Epoch 63/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0024 Epoch 64/500 4000/4000 [==============================] - 0s 3us/step - loss: 7.6484e-04 Epoch 65/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0039 Epoch 66/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0028 Epoch 67/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0024 Epoch 68/500 4000/4000 [==============================] - 0s 5us/step - loss: 2.2014e-04 Epoch 69/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0034 Epoch 70/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0049 Epoch 71/500 4000/4000 [==============================] - 0s 3us/step - loss: 9.1043e-04 Epoch 72/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0091 Epoch 73/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0013 Epoch 74/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0053 Epoch 75/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0035 Epoch 76/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0074 Epoch 77/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0014 Epoch 78/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0058 Epoch 79/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0019 Epoch 80/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0039 Epoch 81/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0024 Epoch 82/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0019 Epoch 83/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0066 Epoch 84/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0034 Epoch 85/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0119 Epoch 86/500 4000/4000 [==============================] - 0s 2us/step - loss: 9.3160e-04 Epoch 87/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0039 Epoch 88/500 4000/4000 [==============================] - 0s 3us/step - loss: 5.1111e-04 Epoch 89/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0021 Epoch 90/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0077 Epoch 91/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0012 Epoch 92/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0026 Epoch 93/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0073 Epoch 94/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0029 Epoch 95/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0014 Epoch 96/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0093 Epoch 97/500
4000/4000 [==============================] - 0s 2us/step - loss: 0.0079 Epoch 98/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0017 Epoch 99/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0029 Epoch 100/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0021 Epoch 101/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0041 Epoch 102/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0012 Epoch 103/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0011 Epoch 104/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0015 Epoch 105/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0028 Epoch 106/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0029 Epoch 107/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0110 Epoch 108/500 4000/4000 [==============================] - 0s 15us/step - loss: 0.0032 Epoch 109/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0039 Epoch 110/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0043 Epoch 111/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0018 Epoch 112/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0015 Epoch 113/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0027 Epoch 114/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0021 Epoch 115/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0038 Epoch 116/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0086 Epoch 117/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0036 Epoch 118/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0068 Epoch 119/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0087 Epoch 120/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0011 Epoch 121/500 4000/4000 [==============================] - 0s 2us/step - loss: 8.0058e-04 Epoch 122/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0027 Epoch 123/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0036 Epoch 124/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0142 Epoch 125/500 4000/4000 [==============================] - 0s 3us/step - loss: 9.1251e-04 Epoch 126/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0020 Epoch 127/500 4000/4000 [==============================] - 0s 3us/step - loss: 8.0921e-04 Epoch 128/500 4000/4000 [==============================] - 0s 3us/step - loss: 3.3044e-04 Epoch 129/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0046 Epoch 130/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0039 Epoch 131/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0027 Epoch 132/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0039 Epoch 133/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0065 Epoch 134/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0032 Epoch 135/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0037 Epoch 136/500 4000/4000 [==============================] - 0s 3us/step - loss: 3.4301e-04 Epoch 137/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0079 Epoch 138/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0034 Epoch 139/500 4000/4000 [==============================] - 0s 4us/step - loss: 7.4494e-04 Epoch 140/500 4000/4000 [==============================] - 0s 3us/step - loss: 6.9727e-04 Epoch 141/500 4000/4000 [==============================] - 0s 4us/step - loss: 4.2923e-04 Epoch 142/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0087 Epoch 143/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0010 Epoch 144/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0074 Epoch 145/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0024 Epoch 146/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0155 Epoch 147/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0114 Epoch 148/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0056 Epoch 149/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0026 Epoch 150/500 4000/4000 [==============================] - 0s 2us/step - loss: 4.0948e-04 Epoch 151/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0024 Epoch 152/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0023 Epoch 153/500 4000/4000 [==============================] - 0s 3us/step - loss: 5.8745e-04 Epoch 154/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0056 Epoch 155/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0043 Epoch 156/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0032 Epoch 157/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0068 Epoch 158/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0050 Epoch 159/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0038 Epoch 160/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0018 Epoch 161/500 4000/4000 [==============================] - 0s 2us/step - loss: 9.3146e-04 Epoch 162/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0021 Epoch 163/500 4000/4000 [==============================] - 0s 4us/step - loss: 9.7937e-04 Epoch 164/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0049 Epoch 165/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0082 Epoch 166/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0029 Epoch 167/500 4000/4000 [==============================] - 0s 4us/step - loss: 6.5192e-04 Epoch 168/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0026 Epoch 169/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0037 Epoch 170/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0015 Epoch 171/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0010 Epoch 172/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0042 Epoch 173/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0055 Epoch 174/500 4000/4000 [==============================] - 0s 2us/step - loss: 9.1665e-04 Epoch 175/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0026 Epoch 176/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0066 Epoch 177/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0050 Epoch 178/500 4000/4000 [==============================] - 0s 4us/step - loss: 8.0615e-04 Epoch 179/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0062 Epoch 180/500 4000/4000 [==============================] - 0s 3us/step - loss: 4.5693e-04 Epoch 181/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0010 Epoch 182/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0023 Epoch 183/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0027 Epoch 184/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0041 Epoch 185/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0020 Epoch 186/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0052 Epoch 187/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0063 Epoch 188/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0017 Epoch 189/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0031 Epoch 190/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0016 Epoch 191/500
4000/4000 [==============================] - 0s 3us/step - loss: 0.0026 Epoch 192/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0082 Epoch 193/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0014 Epoch 194/500 4000/4000 [==============================] - 0s 4us/step - loss: 2.4609e-04 Epoch 195/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0098 Epoch 196/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0029 Epoch 197/500 4000/4000 [==============================] - ETA: 0s - loss: 2.3375e-0 - 0s 2us/step - loss: 1.7496e-04 Epoch 198/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0037 Epoch 199/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0041 Epoch 200/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0034 Epoch 201/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0021 Epoch 202/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0032 Epoch 203/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0023 Epoch 204/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0035 Epoch 205/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0080 Epoch 206/500 4000/4000 [==============================] - 0s 2us/step - loss: 9.3121e-04 Epoch 207/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0019 Epoch 208/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0054 Epoch 209/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0027 Epoch 210/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0013 Epoch 211/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0055 Epoch 212/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0024 Epoch 213/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0025 Epoch 214/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0032 Epoch 215/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0043 Epoch 216/500 4000/4000 [==============================] - 0s 2us/step - loss: 7.4135e-04 Epoch 217/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0017 Epoch 218/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0095 Epoch 219/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0049 Epoch 220/500 4000/4000 [==============================] - 0s 2us/step - loss: 5.6715e-04 Epoch 221/500 4000/4000 [==============================] - 0s 3us/step - loss: 5.7488e-04 Epoch 222/500 4000/4000 [==============================] - 0s 4us/step - loss: 7.7589e-04 Epoch 223/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0026 Epoch 224/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0044 Epoch 225/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0039 Epoch 226/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0056 Epoch 227/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0078 Epoch 228/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0043 Epoch 229/500 4000/4000 [==============================] - 0s 3us/step - loss: 9.5816e-04 Epoch 230/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0033 Epoch 231/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0149 Epoch 232/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0031 Epoch 233/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0087 Epoch 234/500 4000/4000 [==============================] - 0s 3us/step - loss: 8.8143e-04 Epoch 235/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0116 Epoch 236/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0070 Epoch 237/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0042 Epoch 238/500 4000/4000 [==============================] - 0s 3us/step - loss: 8.0859e-04 Epoch 239/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0060 Epoch 240/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0074 Epoch 241/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0085 Epoch 242/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0164 Epoch 243/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0014 Epoch 244/500 4000/4000 [==============================] - 0s 2us/step - loss: 7.8346e-04 Epoch 245/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0012 Epoch 246/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0015 Epoch 247/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0011 Epoch 248/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0010 Epoch 249/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0018 Epoch 250/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0029 Epoch 251/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0029 Epoch 252/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0113 Epoch 253/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0014 Epoch 254/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0045 Epoch 255/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0018 Epoch 256/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0052 Epoch 257/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0027 Epoch 258/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0071 Epoch 259/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0029 Epoch 260/500 4000/4000 [==============================] - 0s 3us/step - loss: 9.5936e-05 Epoch 261/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0027 Epoch 262/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0033 Epoch 263/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0041 Epoch 264/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0013 Epoch 265/500 4000/4000 [==============================] - 0s 2us/step - loss: 7.6006e-04 Epoch 266/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0040 Epoch 267/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0029 Epoch 268/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0022 Epoch 269/500 4000/4000 [==============================] - 0s 3us/step - loss: 7.3184e-04 Epoch 270/500 4000/4000 [==============================] - 0s 3us/step - loss: 4.9335e-04 Epoch 271/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0044 Epoch 272/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0058 Epoch 273/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0053 Epoch 274/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0103 Epoch 275/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0038 Epoch 276/500 4000/4000 [==============================] - 0s 2us/step - loss: 2.7207e-04 Epoch 277/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0013 Epoch 278/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0025 Epoch 279/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0036 Epoch 280/500 4000/4000 [==============================] - 0s 2us/step - loss: 4.2840e-04 Epoch 281/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0045 Epoch 282/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0018 Epoch 283/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0097 Epoch 284/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0031 Epoch 285/500
4000/4000 [==============================] - 0s 2us/step - loss: 6.0142e-04 Epoch 286/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0046 Epoch 287/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0012 Epoch 288/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0053 Epoch 289/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0014 Epoch 290/500 4000/4000 [==============================] - 0s 3us/step - loss: 4.3664e-04 Epoch 291/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0096 Epoch 292/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0014 Epoch 293/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0028 Epoch 294/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0055 Epoch 295/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0066 Epoch 296/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0014 Epoch 297/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0012 Epoch 298/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0014 Epoch 299/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0058 Epoch 300/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0010 Epoch 301/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0031 Epoch 302/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0014 Epoch 303/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0037 Epoch 304/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0101 Epoch 305/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0026 Epoch 306/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0129 Epoch 307/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0041 Epoch 308/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0043 Epoch 309/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0078 Epoch 310/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0015 Epoch 311/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0021 Epoch 312/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0065 Epoch 313/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0085 Epoch 314/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0026 Epoch 315/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0055 Epoch 316/500 4000/4000 [==============================] - 0s 3us/step - loss: 6.8507e-04 Epoch 317/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0019 Epoch 318/500 4000/4000 [==============================] - 0s 3us/step - loss: 8.1847e-04 Epoch 319/500 4000/4000 [==============================] - 0s 2us/step - loss: 5.9506e-04 Epoch 320/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0028 Epoch 321/500 4000/4000 [==============================] - 0s 3us/step - loss: 3.0153e-04 Epoch 322/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0074 Epoch 323/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0097 Epoch 324/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0032 Epoch 325/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0055 Epoch 326/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0065 Epoch 327/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0033 Epoch 328/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0048 Epoch 329/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0045 Epoch 330/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0027 Epoch 331/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0015 Epoch 332/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0033 Epoch 333/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0037 Epoch 334/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0069 Epoch 335/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0021 Epoch 336/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0018 Epoch 337/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0047 Epoch 338/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0024 Epoch 339/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0035 Epoch 340/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0037 Epoch 341/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0018 Epoch 342/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0019 Epoch 343/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0078 Epoch 344/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0075 Epoch 345/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0017 Epoch 346/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0033 Epoch 347/500 4000/4000 [==============================] - 0s 2us/step - loss: 5.7083e-04 Epoch 348/500 4000/4000 [==============================] - 0s 2us/step - loss: 6.8416e-04 Epoch 349/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0035 Epoch 350/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0012 Epoch 351/500 4000/4000 [==============================] - 0s 3us/step - loss: 9.3295e-04 Epoch 352/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0036 Epoch 353/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0040 Epoch 354/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0018 Epoch 355/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0032 Epoch 356/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0011 Epoch 357/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0037 Epoch 358/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0042 Epoch 359/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0014 Epoch 360/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0019 Epoch 361/500 4000/4000 [==============================] - 0s 4us/step - loss: 7.3767e-04 Epoch 362/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0048 Epoch 363/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0086 Epoch 364/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0023 Epoch 365/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0028 Epoch 366/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0021 Epoch 367/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0020 Epoch 368/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0017 Epoch 369/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0067 Epoch 370/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0077 Epoch 371/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0017 Epoch 372/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0070 Epoch 373/500 4000/4000 [==============================] - 0s 2us/step - loss: 9.3301e-04 Epoch 374/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0058 Epoch 375/500 4000/4000 [==============================] - 0s 2us/step - loss: 2.7479e-04 Epoch 376/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0018 Epoch 377/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0010 Epoch 378/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0082 Epoch 379/500
4000/4000 [==============================] - 0s 2us/step - loss: 0.0033 Epoch 380/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0168 Epoch 381/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0049 Epoch 382/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0065 Epoch 383/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0065 Epoch 384/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0010 Epoch 385/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0068 Epoch 386/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0028 Epoch 387/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0055 Epoch 388/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0058 Epoch 389/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0022 Epoch 390/500 4000/4000 [==============================] - 0s 2us/step - loss: 1.5737e-04 Epoch 391/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0022 Epoch 392/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0013 Epoch 393/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0043 Epoch 394/500 4000/4000 [==============================] - 0s 4us/step - loss: 2.0744e-04 Epoch 395/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0070 Epoch 396/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0027 Epoch 397/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0051 Epoch 398/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0089 Epoch 399/500 4000/4000 [==============================] - 0s 2us/step - loss: 7.4866e-04 Epoch 400/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0033 Epoch 401/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0017 Epoch 402/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0023 Epoch 403/500 4000/4000 [==============================] - 0s 3us/step - loss: 4.6038e-04 Epoch 404/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0078 Epoch 405/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0022 Epoch 406/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0027 Epoch 407/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0031 Epoch 408/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0031 Epoch 409/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0018 Epoch 410/500 4000/4000 [==============================] - 0s 2us/step - loss: 6.7186e-04 Epoch 411/500 4000/4000 [==============================] - 0s 2us/step - loss: 6.9071e-04 Epoch 412/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0049 Epoch 413/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0073 Epoch 414/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0013 Epoch 415/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0041 Epoch 416/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0013 Epoch 417/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0074 Epoch 418/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0043 Epoch 419/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0036 Epoch 420/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0029 Epoch 421/500 4000/4000 [==============================] - 0s 3us/step - loss: 4.3924e-04 Epoch 422/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0032 Epoch 423/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0100 Epoch 424/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0122 Epoch 425/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0038 Epoch 426/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0013 Epoch 427/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0016 Epoch 428/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0036 Epoch 429/500 4000/4000 [==============================] - 0s 4us/step - loss: 6.3367e-04 Epoch 430/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0022 Epoch 431/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0064 Epoch 432/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0015 Epoch 433/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0017 Epoch 434/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0044 Epoch 435/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0018 Epoch 436/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0052 Epoch 437/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0050 Epoch 438/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0076 Epoch 439/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0063 Epoch 440/500 4000/4000 [==============================] - 0s 4us/step - loss: 8.9774e-04 Epoch 441/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0012 Epoch 442/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0026 Epoch 443/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0063 Epoch 444/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0027 Epoch 445/500 4000/4000 [==============================] - 0s 5us/step - loss: 7.9725e-04 Epoch 446/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0026 Epoch 447/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0058 Epoch 448/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0054 Epoch 449/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0081 Epoch 450/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0105 Epoch 451/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0103 Epoch 452/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0020 Epoch 453/500 4000/4000 [==============================] - 0s 6us/step - loss: 0.0017 Epoch 454/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0032 Epoch 455/500 4000/4000 [==============================] - 0s 6us/step - loss: 0.0033 Epoch 456/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0037 Epoch 457/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0018 Epoch 458/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0046 Epoch 459/500 4000/4000 [==============================] - 0s 2us/step - loss: 9.3268e-04 Epoch 460/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0022 Epoch 461/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0028 Epoch 462/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0048 Epoch 463/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0010 Epoch 464/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0048 Epoch 465/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0036 Epoch 466/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0071 Epoch 467/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0097 Epoch 468/500 4000/4000 [==============================] - 0s 2us/step - loss: 8.8276e-04 Epoch 469/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0027 Epoch 470/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0087 Epoch 471/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0059 Epoch 472/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0101 Epoch 473/500
4000/4000 [==============================] - 0s 3us/step - loss: 0.0095 Epoch 474/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0017 Epoch 475/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0029 Epoch 476/500 4000/4000 [==============================] - 0s 2us/step - loss: 8.7882e-04 Epoch 477/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0024 Epoch 478/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0105 Epoch 479/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0021 Epoch 480/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0133 Epoch 481/500 4000/4000 [==============================] - 0s 3us/step - loss: 4.8938e-04 Epoch 482/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0110 Epoch 483/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0029 Epoch 484/500 4000/4000 [==============================] - 0s 5us/step - loss: 0.0014 Epoch 485/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0039 Epoch 486/500 4000/4000 [==============================] - 0s 1us/step - loss: 0.0035 Epoch 487/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0014 Epoch 488/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0081 Epoch 489/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0028 Epoch 490/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0013 Epoch 491/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0167 Epoch 492/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0061 Epoch 493/500 4000/4000 [==============================] - 0s 2us/step - loss: 8.1686e-04 Epoch 494/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0061 Epoch 495/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0077 Epoch 496/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0015 Epoch 497/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0015 Epoch 498/500 4000/4000 [==============================] - 0s 2us/step - loss: 0.0023 Epoch 499/500 4000/4000 [==============================] - 0s 4us/step - loss: 0.0116 Epoch 500/500 4000/4000 [==============================] - 0s 3us/step - loss: 0.0029
<keras.callbacks.History at 0x7f534ca147f0>
np.set_printoptions(precision=4, suppress=True)print(model.predict(np.array([[0,1],[1,0], [0,100], [100,0]])))print(f"wagi:\n gamma = {model.layers[0].get_weights()[0]},\n beta = {model.layers[0].get_weights()[1]},\n mu = {model.layers[0].get_weights()[2]},\n sigma = {model.layers[0].get_weights()[3]}")[[ 3.1393 -0.0989] [ 4.1386 0.001 ] [ 3.1393 -9.9937] [103.0637 0.001 ]] wagi: gamma = [ 0.7081 -2.9986], beta = [3.1393 0.001 ], mu = [-0. -0.], sigma = [ 0.5011 900.0883]