{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Normalizing Flows" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from echoflow.demo import load_dataset\n", "import matplotlib.pyplot as plt\n", "\n", "df = load_dataset()\n", "plt.figure(figsize=(6,6))\n", "plt.scatter(df[\"x\"], df[\"y\"])" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 10 | Train Loss -0.243\n", "Epoch 20 | Train Loss -0.286\n", "Epoch 30 | Train Loss -0.352\n", "Epoch 40 | Train Loss -0.363\n", "Epoch 50 | Train Loss -0.432\n", "Epoch 60 | Train Loss -0.506\n", "Epoch 70 | Train Loss -0.477\n", "Epoch 80 | Train Loss -0.610\n", "Epoch 90 | Train Loss -0.550\n", "Epoch 100 | Train Loss -0.650\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from echoflow import EchoFlow\n", "\n", "model = EchoFlow(nb_blocks=10, block_type=\"RNVP\", nb_epochs=100)\n", "model.fit(df)\n", "synthetic = model.sample(num_samples=1000)\n", "plt.scatter(synthetic[\"x\"], synthetic[\"y\"])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import torch\n", "\n", "animation = []\n", "num_samples = 1000\n", "inputs = torch.randn(num_samples, 2)\n", "for i, layer in enumerate(reversed(model.flow._layers)):\n", " if animation:\n", " for p in [0.75, 0.5, 0.25]:\n", " animation.append((i, animation[-1][1]*p + inputs.detach().numpy()*(1.0-p)))\n", " animation.append((i, inputs.detach().numpy()))\n", " inputs, _ = layer(inputs, inverse=True)\n", " \n", "animation = [animation[0]]*10 + animation + [animation[-1]]*10\n", "animation = animation + animation[::-1]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib agg\n", "import numpy as np\n", "from IPython.display import Image\n", "from matplotlib.animation import FuncAnimation\n", "\n", "fig, ax = plt.subplots(figsize=(8,4))\n", "plt.tight_layout()\n", "ln = plt.scatter([], [])\n", "\n", "def frame(i):\n", " layer, data = animation[i]\n", " ax.set_title(f\"Flow Layer: {layer+1} of {len(model.flow._layers)}\")\n", " ln.set_offsets(data)\n", " ax.set_xlim(np.min(data[:,0])-0.5, np.max(data[:,0])+0.5)\n", " ax.set_ylim(np.min(data[:,1])-0.5, np.max(data[:,1])+0.5)\n", " return ln,\n", "\n", "fig.set_size_inches(8, 4, True)\n", "ani = FuncAnimation(fig, frame, frames=list(range(len(animation))), interval=10, repeat=True, blit=False)\n", "ani.save(\"2 Normalizing Flows.gif\")\n", "Image(url='2 Normalizing Flows.gif')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "plt.figure(figsize=(16,9))\n", "before, after = animation[0][1][:100,:], animation[len(animation)//2][1][:100,:].copy()\n", "after[:,0] += 5.0\n", "for (x1, y1), (x2, y2) in zip(before, after):\n", " if np.random.random() > 0.1:\n", " plt.scatter([x1, x2], [y1, y2], marker = 'o', color=[\"r\", \"b\"])\n", " else:\n", " plt.plot([x1, x2], [y1, y2], \"--\", marker = 'o')\n", "#plt.scatter(before[:,0], before[:,1], color=\"b\")\n", "#plt.scatter(after[:,0], after[:,1], color=\"r\")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/kevz/opt/anaconda3/envs/echoflow/lib/python3.8/site-packages/sklearn/utils/deprecation.py:143: FutureWarning: The sklearn.utils.testing module is deprecated in version 0.22 and will be removed in version 0.24. The corresponding classes / functions should instead be imported from sklearn.utils. Anything that cannot be imported from sklearn.utils is now part of the private API.\n", " warnings.warn(message, FutureWarning)\n", "/Users/kevz/opt/anaconda3/envs/echoflow/lib/python3.8/site-packages/sklearn/utils/validation.py:67: FutureWarning: Pass n_components=10 as keyword args. From version 0.25 passing these as positional arguments will result in an error\n", " warnings.warn(\"Pass {} as keyword args. From version 0.25 \"\n", "/Users/kevz/opt/anaconda3/envs/echoflow/lib/python3.8/site-packages/sklearn/utils/validation.py:67: FutureWarning: Pass n_components=10 as keyword args. From version 0.25 passing these as positional arguments will result in an error\n", " warnings.warn(\"Pass {} as keyword args. From version 0.25 \"\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1, Loss G: 0.0186, Loss D: 0.0461\n", "Epoch 2, Loss G: -0.0088, Loss D: 0.0308\n", "Epoch 3, Loss G: -0.0178, Loss D: 0.0465\n", "Epoch 4, Loss G: -0.0112, Loss D: 0.0352\n", "Epoch 5, Loss G: -0.0749, Loss D: 0.0501\n", "Epoch 6, Loss G: -0.0434, Loss D: -0.0065\n", "Epoch 7, Loss G: -0.0816, Loss D: 0.0059\n", "Epoch 8, Loss G: -0.1145, Loss D: -0.0182\n", "Epoch 9, Loss G: -0.1111, Loss D: -0.0369\n", "Epoch 10, Loss G: -0.1490, Loss D: -0.0999\n", "Epoch 11, Loss G: -0.1923, Loss D: -0.2093\n", "Epoch 12, Loss G: -0.2507, Loss D: -0.1584\n", "Epoch 13, Loss G: -0.2600, Loss D: -0.2598\n", "Epoch 14, Loss G: -0.2905, Loss D: -0.2561\n", "Epoch 15, Loss G: -0.3785, Loss D: -0.4029\n", "Epoch 16, Loss G: -0.4014, Loss D: -0.5031\n", "Epoch 17, Loss G: -0.4509, Loss D: -0.7288\n", "Epoch 18, Loss G: -0.5261, Loss D: -0.7866\n", "Epoch 19, Loss G: -0.6436, Loss D: -1.0426\n", "Epoch 20, Loss G: -0.6144, Loss D: -1.2297\n", "Epoch 21, Loss G: -0.7031, Loss D: -1.4010\n", "Epoch 22, Loss G: -0.6613, Loss D: -1.5356\n", "Epoch 23, Loss G: -0.7486, Loss D: -1.7074\n", "Epoch 24, Loss G: -0.6783, Loss D: -1.8557\n", "Epoch 25, Loss G: -0.7389, Loss D: -1.7605\n", "Epoch 26, Loss G: -0.8345, Loss D: -1.8561\n", "Epoch 27, Loss G: -0.8375, Loss D: -1.6751\n", "Epoch 28, Loss G: -0.8852, Loss D: -1.5007\n", "Epoch 29, Loss G: -0.9060, Loss D: -1.4957\n", "Epoch 30, Loss G: -0.9102, Loss D: -1.2487\n", "Epoch 31, Loss G: -1.0303, Loss D: -0.9371\n", "Epoch 32, Loss G: -1.0190, Loss D: -0.8207\n", "Epoch 33, Loss G: -1.0111, Loss D: -0.6011\n", "Epoch 34, Loss G: -1.1496, Loss D: -0.4978\n", "Epoch 35, Loss G: -1.2245, Loss D: -0.4232\n", "Epoch 36, Loss G: -1.1854, Loss D: -0.3956\n", "Epoch 37, Loss G: -1.2087, Loss D: -0.2473\n", "Epoch 38, Loss G: -1.2302, Loss D: -0.2930\n", "Epoch 39, Loss G: -1.2948, Loss D: -0.2669\n", "Epoch 40, Loss G: -1.2661, Loss D: -0.3108\n", "Epoch 41, Loss G: -1.2112, Loss D: -0.4249\n", "Epoch 42, Loss G: -1.1491, Loss D: -0.5751\n", "Epoch 43, Loss G: -1.2612, Loss D: -0.6512\n", "Epoch 44, Loss G: -1.1156, Loss D: -0.8536\n", "Epoch 45, Loss G: -1.1199, Loss D: -0.8210\n", "Epoch 46, Loss G: -1.0663, Loss D: -1.0004\n", "Epoch 47, Loss G: -1.1911, Loss D: -1.0190\n", "Epoch 48, Loss G: -1.1268, Loss D: -1.2239\n", "Epoch 49, Loss G: -1.2701, Loss D: -1.1039\n", "Epoch 50, Loss G: -1.2590, Loss D: -0.9063\n", "Epoch 51, Loss G: -1.2703, Loss D: -0.9106\n", "Epoch 52, Loss G: -1.1734, Loss D: -0.7327\n", "Epoch 53, Loss G: -1.1200, Loss D: -0.7415\n", "Epoch 54, Loss G: -1.2540, Loss D: -0.6991\n", "Epoch 55, Loss G: -1.1072, Loss D: -0.6870\n", "Epoch 56, Loss G: -1.1942, Loss D: -0.7860\n", "Epoch 57, Loss G: -1.1557, Loss D: -0.9378\n", "Epoch 58, Loss G: -1.2369, Loss D: -0.7973\n", "Epoch 59, Loss G: -1.2105, Loss D: -0.9420\n", "Epoch 60, Loss G: -1.2373, Loss D: -1.0463\n", "Epoch 61, Loss G: -1.1908, Loss D: -1.0182\n", "Epoch 62, Loss G: -1.1133, Loss D: -1.0742\n", "Epoch 63, Loss G: -1.1308, Loss D: -1.0755\n", "Epoch 64, Loss G: -1.1058, Loss D: -1.0437\n", "Epoch 65, Loss G: -1.0367, Loss D: -1.0882\n", "Epoch 66, Loss G: -1.1599, Loss D: -1.0182\n", "Epoch 67, Loss G: -0.9952, Loss D: -0.8387\n", "Epoch 68, Loss G: -0.9895, Loss D: -0.8783\n", "Epoch 69, Loss G: -1.0820, Loss D: -0.5924\n", "Epoch 70, Loss G: -1.0012, Loss D: -0.7107\n", "Epoch 71, Loss G: -0.9543, Loss D: -0.5602\n", "Epoch 72, Loss G: -1.0246, Loss D: -0.4503\n", "Epoch 73, Loss G: -0.9536, Loss D: -0.5506\n", "Epoch 74, Loss G: -1.0457, Loss D: -0.3733\n", "Epoch 75, Loss G: -1.0131, Loss D: -0.4134\n", "Epoch 76, Loss G: -1.0671, Loss D: -0.5443\n", "Epoch 77, Loss G: -1.1301, Loss D: -0.5082\n", "Epoch 78, Loss G: -1.0976, Loss D: -0.6363\n", "Epoch 79, Loss G: -1.0837, Loss D: -0.8867\n", "Epoch 80, Loss G: -1.0284, Loss D: -1.0275\n", "Epoch 81, Loss G: -1.0708, Loss D: -1.2676\n", "Epoch 82, Loss G: -1.0427, Loss D: -1.2755\n", "Epoch 83, Loss G: -0.9604, Loss D: -1.1389\n", "Epoch 84, Loss G: -0.9721, Loss D: -1.3012\n", "Epoch 85, Loss G: -0.9213, Loss D: -1.0286\n", "Epoch 86, Loss G: -0.8522, Loss D: -0.8756\n", "Epoch 87, Loss G: -0.7632, Loss D: -0.7728\n", "Epoch 88, Loss G: -0.8879, Loss D: -0.4324\n", "Epoch 89, Loss G: -0.9121, Loss D: -0.3359\n", "Epoch 90, Loss G: -0.9421, Loss D: -0.1858\n", "Epoch 91, Loss G: -0.8643, Loss D: -0.0971\n", "Epoch 92, Loss G: -0.9237, Loss D: -0.0001\n", "Epoch 93, Loss G: -0.8668, Loss D: 0.0448\n", "Epoch 94, Loss G: -0.8508, Loss D: -0.0132\n", "Epoch 95, Loss G: -0.8679, Loss D: -0.1154\n", "Epoch 96, Loss G: -0.8538, Loss D: -0.3189\n", "Epoch 97, Loss G: -0.8329, Loss D: -0.3361\n", "Epoch 98, Loss G: -0.7238, Loss D: -0.4478\n", "Epoch 99, Loss G: -0.7826, Loss D: -0.3892\n", "Epoch 100, Loss G: -0.7111, Loss D: -0.2747\n", "Epoch 101, Loss G: -0.7643, Loss D: -0.3702\n", "Epoch 102, Loss G: -0.6601, Loss D: -0.2765\n", "Epoch 103, Loss G: -0.6477, Loss D: -0.4186\n", "Epoch 104, Loss G: -0.6715, Loss D: -0.3651\n", "Epoch 105, Loss G: -0.5326, Loss D: -0.4281\n", "Epoch 106, Loss G: -0.6217, Loss D: -0.5463\n", "Epoch 107, Loss G: -0.5517, Loss D: -0.4937\n", "Epoch 108, Loss G: -0.5091, Loss D: -0.4605\n", "Epoch 109, Loss G: -0.4553, Loss D: -0.5801\n", "Epoch 110, Loss G: -0.3853, Loss D: -0.6059\n", "Epoch 111, Loss G: -0.3832, Loss D: -0.4931\n", "Epoch 112, Loss G: -0.3960, Loss D: -0.4379\n", "Epoch 113, Loss G: -0.3529, Loss D: -0.5796\n", "Epoch 114, Loss G: -0.3796, Loss D: -0.5441\n", "Epoch 115, Loss G: -0.3556, Loss D: -0.3659\n", "Epoch 116, Loss G: -0.3073, Loss D: -0.5421\n", "Epoch 117, Loss G: -0.2893, Loss D: -0.6636\n", "Epoch 118, Loss G: -0.3211, Loss D: -0.5642\n", "Epoch 119, Loss G: -0.2161, Loss D: -0.5835\n", "Epoch 120, Loss G: -0.1647, Loss D: -0.5339\n", "Epoch 121, Loss G: -0.1106, Loss D: -0.4994\n", "Epoch 122, Loss G: -0.1449, Loss D: -0.3238\n", "Epoch 123, Loss G: -0.0977, Loss D: -0.4864\n", "Epoch 124, Loss G: -0.1453, Loss D: -0.4777\n", "Epoch 125, Loss G: -0.1399, Loss D: -0.5016\n", "Epoch 126, Loss G: -0.0171, Loss D: -0.5279\n", "Epoch 127, Loss G: 0.0781, Loss D: -0.7221\n", "Epoch 128, Loss G: 0.0976, Loss D: -0.7292\n", "Epoch 129, Loss G: 0.1928, Loss D: -1.0534\n", "Epoch 130, Loss G: 0.2554, Loss D: -1.1082\n", "Epoch 131, Loss G: 0.3202, Loss D: -1.3533\n", "Epoch 132, Loss G: 0.4023, Loss D: -1.1840\n", "Epoch 133, Loss G: 0.3947, Loss D: -1.1548\n", "Epoch 134, Loss G: 0.5020, Loss D: -1.2564\n", "Epoch 135, Loss G: 0.6184, Loss D: -1.0490\n", "Epoch 136, Loss G: 0.6725, Loss D: -0.9611\n", "Epoch 137, Loss G: 0.7280, Loss D: -0.9741\n", "Epoch 138, Loss G: 0.8168, Loss D: -0.9213\n", "Epoch 139, Loss G: 0.8303, Loss D: -0.9053\n", "Epoch 140, Loss G: 0.8566, Loss D: -0.9899\n", "Epoch 141, Loss G: 0.9760, Loss D: -1.0215\n", "Epoch 142, Loss G: 1.1160, Loss D: -1.2679\n", "Epoch 143, Loss G: 1.1129, Loss D: -1.3706\n", "Epoch 144, Loss G: 1.2057, Loss D: -1.4646\n", "Epoch 145, Loss G: 1.1999, Loss D: -1.4563\n", "Epoch 146, Loss G: 1.3380, Loss D: -1.4586\n", "Epoch 147, Loss G: 1.2402, Loss D: -1.4347\n", "Epoch 148, Loss G: 1.2568, Loss D: -1.4758\n", "Epoch 149, Loss G: 1.3034, Loss D: -1.5865\n", "Epoch 150, Loss G: 1.2778, Loss D: -1.6568\n", "Epoch 151, Loss G: 1.3181, Loss D: -1.6223\n", "Epoch 152, Loss G: 1.3955, Loss D: -1.7063\n", "Epoch 153, Loss G: 1.3946, Loss D: -1.6753\n", "Epoch 154, Loss G: 1.4669, Loss D: -1.7317\n", "Epoch 155, Loss G: 1.4351, Loss D: -1.6430\n", "Epoch 156, Loss G: 1.4505, Loss D: -1.8546\n", "Epoch 157, Loss G: 1.5449, Loss D: -1.6044\n", "Epoch 158, Loss G: 1.4576, Loss D: -1.5617\n", "Epoch 159, Loss G: 1.5405, Loss D: -1.3070\n", "Epoch 160, Loss G: 1.5457, Loss D: -1.6511\n", "Epoch 161, Loss G: 1.7220, Loss D: -1.4746\n", "Epoch 162, Loss G: 1.6910, Loss D: -1.5877\n", "Epoch 163, Loss G: 1.8141, Loss D: -1.8678\n", "Epoch 164, Loss G: 1.8353, Loss D: -1.6927\n", "Epoch 165, Loss G: 1.7766, Loss D: -1.7656\n", "Epoch 166, Loss G: 1.8900, Loss D: -1.8455\n", "Epoch 167, Loss G: 1.7898, Loss D: -1.9633\n", "Epoch 168, Loss G: 1.9036, Loss D: -1.7915\n", "Epoch 169, Loss G: 1.8980, Loss D: -1.8210\n", "Epoch 170, Loss G: 1.9618, Loss D: -1.9754\n", "Epoch 171, Loss G: 1.9644, Loss D: -1.8309\n", "Epoch 172, Loss G: 1.7909, Loss D: -2.1171\n", "Epoch 173, Loss G: 1.8592, Loss D: -2.0299\n", "Epoch 174, Loss G: 1.8749, Loss D: -2.3053\n", "Epoch 175, Loss G: 1.7876, Loss D: -2.3782\n", "Epoch 176, Loss G: 1.9045, Loss D: -2.4340\n", "Epoch 177, Loss G: 1.7827, Loss D: -2.6373\n", "Epoch 178, Loss G: 1.7055, Loss D: -2.5032\n", "Epoch 179, Loss G: 1.7639, Loss D: -2.4069\n", "Epoch 180, Loss G: 1.7336, Loss D: -2.4906\n", "Epoch 181, Loss G: 1.6432, Loss D: -2.2937\n", "Epoch 182, Loss G: 1.7854, Loss D: -2.1705\n", "Epoch 183, Loss G: 1.7011, Loss D: -1.9169\n", "Epoch 184, Loss G: 1.7280, Loss D: -1.9639\n", "Epoch 185, Loss G: 1.8949, Loss D: -1.9455\n", "Epoch 186, Loss G: 1.8718, Loss D: -2.0666\n", "Epoch 187, Loss G: 1.9942, Loss D: -2.0417\n", "Epoch 188, Loss G: 2.1457, Loss D: -2.1869\n", "Epoch 189, Loss G: 2.0683, Loss D: -2.1986\n", "Epoch 190, Loss G: 2.1045, Loss D: -2.2265\n", "Epoch 191, Loss G: 2.1761, Loss D: -2.4311\n", "Epoch 192, Loss G: 2.1594, Loss D: -2.4677\n", "Epoch 193, Loss G: 2.1733, Loss D: -2.4785\n", "Epoch 194, Loss G: 2.1443, Loss D: -2.4790\n", "Epoch 195, Loss G: 2.0630, Loss D: -2.2714\n", "Epoch 196, Loss G: 2.0614, Loss D: -2.3900\n", "Epoch 197, Loss G: 2.0278, Loss D: -2.5413\n", "Epoch 198, Loss G: 2.0790, Loss D: -2.4669\n", "Epoch 199, Loss G: 1.9710, Loss D: -2.6489\n", "Epoch 200, Loss G: 2.0048, Loss D: -2.2388\n", "Epoch 201, Loss G: 2.0611, Loss D: -2.4497\n", "Epoch 202, Loss G: 2.1429, Loss D: -2.5873\n", "Epoch 203, Loss G: 2.0077, Loss D: -2.5879\n", "Epoch 204, Loss G: 2.0901, Loss D: -2.6632\n", "Epoch 205, Loss G: 2.0838, Loss D: -2.7802\n", "Epoch 206, Loss G: 2.0216, Loss D: -2.7509\n", "Epoch 207, Loss G: 2.0458, Loss D: -2.6516\n", "Epoch 208, Loss G: 2.1515, Loss D: -2.5217\n", "Epoch 209, Loss G: 2.0505, Loss D: -2.8524\n", "Epoch 210, Loss G: 2.1325, Loss D: -2.6729\n", "Epoch 211, Loss G: 2.1394, Loss D: -2.4977\n", "Epoch 212, Loss G: 2.0353, Loss D: -2.6402\n", "Epoch 213, Loss G: 2.2289, Loss D: -2.7521\n", "Epoch 214, Loss G: 2.1723, Loss D: -2.8613\n", "Epoch 215, Loss G: 2.1450, Loss D: -2.8816\n", "Epoch 216, Loss G: 2.2011, Loss D: -2.8288\n", "Epoch 217, Loss G: 2.2493, Loss D: -3.3624\n", "Epoch 218, Loss G: 2.0373, Loss D: -2.9492\n", "Epoch 219, Loss G: 2.1170, Loss D: -3.1125\n", "Epoch 220, Loss G: 2.0623, Loss D: -2.9412\n", "Epoch 221, Loss G: 2.0564, Loss D: -2.8479\n", "Epoch 222, Loss G: 2.0038, Loss D: -2.6160\n", "Epoch 223, Loss G: 2.0325, Loss D: -2.5881\n", "Epoch 224, Loss G: 2.0703, Loss D: -2.7975\n", "Epoch 225, Loss G: 2.0520, Loss D: -2.7406\n", "Epoch 226, Loss G: 2.1087, Loss D: -2.6677\n", "Epoch 227, Loss G: 2.0558, Loss D: -2.8955\n", "Epoch 228, Loss G: 2.0997, Loss D: -2.8635\n", "Epoch 229, Loss G: 2.0423, Loss D: -2.8859\n", "Epoch 230, Loss G: 2.1814, Loss D: -2.7471\n", "Epoch 231, Loss G: 2.1695, Loss D: -2.9966\n", "Epoch 232, Loss G: 2.2432, Loss D: -3.1865\n", "Epoch 233, Loss G: 2.2534, Loss D: -3.1304\n", "Epoch 234, Loss G: 2.2750, Loss D: -3.0837\n", "Epoch 235, Loss G: 2.1427, Loss D: -3.0589\n", "Epoch 236, Loss G: 2.1377, Loss D: -2.9294\n", "Epoch 237, Loss G: 2.1839, Loss D: -3.0754\n", "Epoch 238, Loss G: 2.1048, Loss D: -3.0462\n", "Epoch 239, Loss G: 2.0367, Loss D: -3.0427\n", "Epoch 240, Loss G: 2.0954, Loss D: -3.1331\n", "Epoch 241, Loss G: 2.0329, Loss D: -2.9186\n", "Epoch 242, Loss G: 2.1275, Loss D: -3.1956\n", "Epoch 243, Loss G: 2.1732, Loss D: -3.1239\n", "Epoch 244, Loss G: 2.1581, Loss D: -3.2789\n", "Epoch 245, Loss G: 2.1447, Loss D: -3.2709\n", "Epoch 246, Loss G: 2.2186, Loss D: -3.0476\n", "Epoch 247, Loss G: 2.1449, Loss D: -3.2314\n", "Epoch 248, Loss G: 2.1429, Loss D: -3.0765\n", "Epoch 249, Loss G: 2.2048, Loss D: -3.5900\n", "Epoch 250, Loss G: 2.1555, Loss D: -3.4545\n", "Epoch 251, Loss G: 2.1801, Loss D: -3.4485\n", "Epoch 252, Loss G: 2.2512, Loss D: -3.4843\n", "Epoch 253, Loss G: 2.2078, Loss D: -3.6149\n", "Epoch 254, Loss G: 2.2443, Loss D: -3.5558\n", "Epoch 255, Loss G: 2.1366, Loss D: -3.2953\n", "Epoch 256, Loss G: 2.1251, Loss D: -3.3531\n", "Epoch 257, Loss G: 2.0502, Loss D: -3.3458\n", "Epoch 258, Loss G: 2.1738, Loss D: -3.3758\n", "Epoch 259, Loss G: 2.0999, Loss D: -3.5996\n", "Epoch 260, Loss G: 2.1857, Loss D: -3.6469\n", "Epoch 261, Loss G: 2.2199, Loss D: -3.5684\n", "Epoch 262, Loss G: 2.2074, Loss D: -3.7502\n", "Epoch 263, Loss G: 2.1945, Loss D: -3.6650\n", "Epoch 264, Loss G: 2.2254, Loss D: -3.9411\n", "Epoch 265, Loss G: 2.2120, Loss D: -3.6680\n", "Epoch 266, Loss G: 2.3173, Loss D: -3.8879\n", "Epoch 267, Loss G: 2.2653, Loss D: -3.9813\n", "Epoch 268, Loss G: 2.2608, Loss D: -3.4992\n", "Epoch 269, Loss G: 2.2234, Loss D: -3.7144\n", "Epoch 270, Loss G: 2.2439, Loss D: -3.4729\n", "Epoch 271, Loss G: 2.1858, Loss D: -3.5375\n", "Epoch 272, Loss G: 2.2002, Loss D: -3.8484\n", "Epoch 273, Loss G: 2.2694, Loss D: -3.5786\n", "Epoch 274, Loss G: 2.2606, Loss D: -3.6222\n", "Epoch 275, Loss G: 2.2411, Loss D: -3.7043\n", "Epoch 276, Loss G: 2.2248, Loss D: -3.8401\n", "Epoch 277, Loss G: 2.1606, Loss D: -3.9935\n", "Epoch 278, Loss G: 2.2319, Loss D: -4.1673\n", "Epoch 279, Loss G: 2.2833, Loss D: -4.2293\n", "Epoch 280, Loss G: 2.3112, Loss D: -4.2375\n", "Epoch 281, Loss G: 2.1604, Loss D: -4.0040\n", "Epoch 282, Loss G: 2.2728, Loss D: -4.1549\n", "Epoch 283, Loss G: 2.2237, Loss D: -4.1131\n", "Epoch 284, Loss G: 2.2349, Loss D: -3.8488\n", "Epoch 285, Loss G: 2.2760, Loss D: -3.9987\n", "Epoch 286, Loss G: 2.2157, Loss D: -4.0173\n", "Epoch 287, Loss G: 2.2435, Loss D: -4.0976\n", "Epoch 288, Loss G: 2.3455, Loss D: -4.4764\n", "Epoch 289, Loss G: 2.3667, Loss D: -3.8304\n", "Epoch 290, Loss G: 2.3954, Loss D: -4.2998\n", "Epoch 291, Loss G: 2.3236, Loss D: -4.1624\n", "Epoch 292, Loss G: 2.2916, Loss D: -4.1199\n", "Epoch 293, Loss G: 2.3128, Loss D: -4.1032\n", "Epoch 294, Loss G: 2.3832, Loss D: -4.4515\n", "Epoch 295, Loss G: 2.2991, Loss D: -4.4757\n", "Epoch 296, Loss G: 2.3276, Loss D: -4.3763\n", "Epoch 297, Loss G: 2.3185, Loss D: -4.3259\n", "Epoch 298, Loss G: 2.3393, Loss D: -4.2809\n", "Epoch 299, Loss G: 2.2827, Loss D: -4.1953\n", "Epoch 300, Loss G: 2.3268, Loss D: -4.3975\n" ] } ], "source": [ "echoflow_df = model.sample(num_samples=1000)\n", "\n", "#----\n", "from copulas.multivariate import GaussianMultivariate\n", "\n", "copula = GaussianMultivariate()\n", "copula.fit(df)\n", "copula_df = copula.sample(1000)\n", "\n", "#------\n", "from ctgan import CTGANSynthesizer\n", "\n", "ctgan = CTGANSynthesizer()\n", "ctgan.fit(df)\n", "ctgan_df = ctgan.sample(1000)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(12, 8))\n", "axes[0,0].scatter(df[\"x\"], df[\"y\"], color=\"#e77c8d\")\n", "axes[0,0].set_title(\"Real\")\n", "axes[1,0].scatter(ctgan_df[\"x\"], ctgan_df[\"y\"], color=\"#56ad74\")\n", "axes[1,0].set_title(\"CTGAN\")\n", "axes[0,1].scatter(copula_df[\"x\"], copula_df[\"y\"], color=\"#5ea5c5\")\n", "axes[0,1].set_title(\"Copulas\")\n", "axes[1,1].scatter(echoflow_df[\"x\"], echoflow_df[\"y\"], color=\"#4878d0\")\n", "axes[1,1].set_title(\"EchoFlow\")\n", "fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }