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num_diff_2D
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Untitled66.ipynb",
"provenance": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "code",
"metadata": {
"id": "R5IMIuoiOpIc"
},
"source": [
"import numpy as np\n",
"import matplotlib.pylab as plt\n",
"from mpl_toolkits.mplot3d import Axes3D"
],
"execution_count": 1,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "P3W3lvF4Opyy"
},
"source": [
"def function_2_original(x): # 단순한 버젼\n",
" #print('x[0].shape={}'.format(x[0].shape))\n",
" return x[0]**2 + x[1]**2"
],
"execution_count": 2,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "84zcEo63Orxq"
},
"source": [
"def function_2(x):\n",
" if x.ndim == 1:\n",
" return np.sum(x**2)\n",
" else:\n",
" return np.sum(x**2, axis=0)"
],
"execution_count": 4,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "fYBd3hPJOtM_",
"outputId": "62ac80eb-f774-4866-fec3-9878cad27e2f",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"x0 = np.arange(-2, 2, 0.25) \n",
"x1 = np.arange(-2, 2, 0.25)\n",
"X, Y = np.meshgrid(x0, x1)\n",
"print(X.shape,Y.shape)\n",
"\n",
"nrows = X.shape[0]\n",
"ncols = X.shape[1]"
],
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": [
"(16, 16) (16, 16)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "gRby6Cy8O0dh",
"outputId": "9dfde802-478f-42a4-ec76-0651e761767c",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"Xf = X.flatten()\n",
"Yf = Y.flatten()\n",
"arr = np.array([Xf, Yf])\n",
"\n",
"print(Xf.shape,Yf.shape)\n",
"print(arr.shape, arr.ndim)"
],
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": [
"(256,) (256,)\n",
"(2, 256) 2\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "zy4SbFVxO2JI",
"outputId": "1ff2733e-0568-4850-9db0-0b5bb055942f",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"Z = function_2(arr)\n",
"print(Z.shape)"
],
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"text": [
"(256,)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "6gLYnK1NO3j0",
"outputId": "dde65304-a379-4793-efe7-e8734df4e944",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"Z = np.reshape(Z, (nrows,ncols))\n",
"print(X.shape, Y.shape, Z.shape)"
],
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": [
"(16, 16) (16, 16) (16, 16)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "hUevCJxXO4lp",
"outputId": "e08ae15e-48b9-44dd-a31b-32ed5d01de8b",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 248
}
},
"source": [
"fig = plt.figure()\n",
"ax = plt.axes(projection=\"3d\")\n",
"ax.plot_wireframe(X, Y, Z)\n",
"ax.set_xlabel('x0')\n",
"ax.set_ylabel('x1')\n",
"ax.set_zlabel('z')\n",
"plt.show()"
],
"execution_count": 9,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "yN7owhlrO6P5"
},
"source": [
"def numerical_diff_1d(f, x):\n",
" h = 1e-4 # 0.0001\n",
" return (f(x+h) - f(x-h)) / (2*h)"
],
"execution_count": 10,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "-Z8Kbu5yO7pH"
},
"source": [
"def numerical_gradient_single_point(f, x, verbose=False): \n",
" h = 1e-4\n",
" grad = np.zeros_like(x)\n",
" if verbose:\n",
" print('x.size={}'.format(x.size)) # (x0, x1) 을 입력으로 받음 --> 2\n",
" \n",
" for idx in range(x.size): #축별로 계산\n",
" v_keep = x[idx]\n",
" \n",
" # f(x+h) 계산\n",
" x[idx] = float(v_keep) + h #n차원 입력 중 해당 차원으로만 h를 더하고\n",
" fxh1 = f(x)\n",
" if verbose:\n",
" print(x, '-->', fxh1)\n",
" \n",
" # f(x-h) 계산\n",
" x[idx] = float(v_keep) - h #n차원 입력 중 해당 차원으로만 h를 빼서\n",
" fxh2 = f(x)\n",
" if verbose:\n",
" print(x, '-->', fxh2)\n",
" \n",
" grad[idx] = (fxh1 - fxh2) / (2*h) #n차원 방향의 차분을 구함 !\n",
" x[idx] = v_keep # 값 복원\n",
" \n",
" if verbose:\n",
" print('grad[{}]={}'.format(idx, grad[idx]))\n",
" print()\n",
" return grad"
],
"execution_count": 11,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "99Pi_oL5O9HE",
"outputId": "22ed7527-da7e-47f9-a00f-cf4280c24d08",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"numerical_gradient_single_point(function_2, np.array([3.0, 4.0]), verbose=True)"
],
"execution_count": 12,
"outputs": [
{
"output_type": "stream",
"text": [
"x.size=2\n",
"[3.0001 4. ] --> 25.00060001\n",
"[2.9999 4. ] --> 24.99940001\n",
"grad[0]=6.00000000000378\n",
"\n",
"[3. 4.0001] --> 25.00080001\n",
"[3. 3.9999] --> 24.99920001\n",
"grad[1]=7.999999999999119\n",
"\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([6., 8.])"
]
},
"metadata": {
"tags": []
},
"execution_count": 12
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "mNX01R3AO_Ek",
"outputId": "6af52b22-871b-4ea7-e3cc-5ddafa681d09",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"numerical_gradient_single_point(function_2, np.array([1.0, 2.0]), verbose=True)"
],
"execution_count": 13,
"outputs": [
{
"output_type": "stream",
"text": [
"x.size=2\n",
"[1.0001 2. ] --> 5.00020001\n",
"[0.9999 2. ] --> 4.99980001\n",
"grad[0]=1.9999999999997797\n",
"\n",
"[1. 2.0001] --> 5.000400010000001\n",
"[1. 1.9999] --> 4.99960001\n",
"grad[1]=4.000000000004\n",
"\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([2., 4.])"
]
},
"metadata": {
"tags": []
},
"execution_count": 13
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "mflqcwgZPAcV"
},
"source": [
"def numerical_gradient(f, X):\n",
" if X.ndim == 1:\n",
" return numerical_gradient_single_point(f, X)\n",
" else:\n",
" grad = np.zeros_like(X)\n",
" \n",
" for idx, x in enumerate(X):\n",
" grad[idx] = numerical_gradient_single_point(f, x)\n",
" \n",
" return grad"
],
"execution_count": 14,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "QsNAYo4ePBzP",
"outputId": "40c912a8-0476-41de-996f-487fde90aafc",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"grad = numerical_gradient(function_2, arr )\n",
"print(grad.shape)"
],
"execution_count": 15,
"outputs": [
{
"output_type": "stream",
"text": [
"(2, 256)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "uZUHBgAhPCxV",
"outputId": "0c5c3530-bfe2-4ce1-c55f-2d42bfa9a211",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"X.shape, Y.shape, grad.shape"
],
"execution_count": 16,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"((16, 16), (16, 16), (2, 256))"
]
},
"metadata": {
"tags": []
},
"execution_count": 16
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Kj8TvCiqPDsl",
"outputId": "c911a010-10d0-4d64-8616-9ebd4bc4889d",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"print(arr.shape, arr.size, arr.ndim)"
],
"execution_count": 17,
"outputs": [
{
"output_type": "stream",
"text": [
"(2, 256) 512 2\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ssWbZX-mPFDp",
"outputId": "2560e314-b617-4796-b79f-0eeb18a3c45f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
}
},
"source": [
"plt.figure(figsize=(5,5))\n",
"plt.quiver(X, Y, -grad[0], -grad[1], angles=\"xy\")#,color=\"#555555\", headwidth=10,scale=40,color=\"#444444\")\n",
"plt.xlim([-2, 2])\n",
"plt.ylim([-2, 2])\n",
"plt.xlabel('x0')\n",
"plt.ylabel('x1')\n",
"plt.grid()\n",
"plt.title('gradient of f(x0, x1)')\n",
"plt.show()"
],
"execution_count": 18,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 360x360 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ZkIP_K0iPGRH"
},
"source": [
""
],
"execution_count": null,
"outputs": []
}
]
}