diff --git a/ch04_classification/Concept03_logistic2d.ipynb b/ch04_classification/Concept03_logistic2d.ipynb index 4929c7d..f6d6f5f 100644 --- a/ch04_classification/Concept03_logistic2d.ipynb +++ b/ch04_classification/Concept03_logistic2d.ipynb @@ -103,8 +103,8 @@ "Y = tf.placeholder(tf.float32, shape=(None,), name=\"y\")\n", "w = tf.Variable([0., 0., 0.], name=\"w\", trainable=True)\n", "\n", - "y_model = tf.sigmoid(-(w[2] * X2 + w[1] * X1 + w[0]))\n", - "cost = tf.reduce_mean(-tf.log(y_model * Y + (1 - y_model) * (1 - Y)))\n", + "y_model = tf.sigmoid(w[2] * X2 + w[1] * X1 + w[0])\n", + "cost = tf.reduce_mean(-tf.log(y_model) * Y - tf.log(1 - y_model) * (1 - Y))\n", "train_op = tf.train.GradientDescentOptimizer(learning_rate).minimize(cost)" ] }, @@ -131,14 +131,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 0.693147\n", - "100 0.375964\n", - "200 0.276061\n", - "300 0.218569\n", - "400 0.181875\n", - "500 0.156599\n", - "600 0.13817\n", - "700 0.124143\n" + "0 0.6931461\n", + "100 0.3685995\n", + "200 0.26982495\n", + "300 0.21326211\n", + "400 0.17723703\n", + "500 0.15246049\n", + "600 0.13441406\n", + "700 0.12068556\n" ] } ], @@ -181,7 +181,7 @@ "with tf.Session() as sess:\n", " for x1_test in np.linspace(0, 10, 20):\n", " for x2_test in np.linspace(0, 10, 20):\n", - " z = sess.run(tf.sigmoid(-x2_test*w_val[2] - x1_test*w_val[1] - w_val[0]))\n", + " z = sess.run(tf.sigmoid(x2_test*w_val[2] + x1_test*w_val[1] + w_val[0]))\n", " if abs(z - 0.5) < 0.05:\n", " x1_boundary.append(x1_test)\n", " x2_boundary.append(x2_test)" @@ -208,9 +208,9 @@ "outputs": [ { "data": { - "image/png": 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tsPBgITKiMjg5NVoaUddQh4qzFai+XI1oYzS3BCqJ6tF+j2Jh+kIAwIwhM7DYtBjRxmhk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\n3RpcN7xjYPQMm13oRddTp+SYnp5Q20ZHquguUvTp02J3LvjTvQ8TBl1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U79HgS1Z0Fp8e+BSA78q/4+lNTxPjH4NBaqrK7hjUorojBpmDWD95PZ9OVtp6cgXMjsum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\n4IcflvLd7w73Jb9sKRUZj47GJ0Z94rRNIrRI2cp350oUxRo3IyMwcfu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