vae_sincos_mse.ipynb

{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"vae_sincos_gaussian.ipynb","provenance":[],"collapsed_sections":[]},"kernelspec":{"name":"python3","display_name":"Python 3","language":"python"},"language_info":{"name":"python","version":"3.8.6-final"}},"cells":[{"cell_type":"code","metadata":{"id":"tJ0ZDSUFVmHQ","executionInfo":{"status":"ok","timestamp":1616947728638,"user_tz":-540,"elapsed":3737,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}}},"source":["import numpy as np\n","import pandas as pd\n","import torch\n","import torch.nn as nn\n","import torch.utils.data\n","import torch.optim as optim\n","from torch.autograd import Variable\n","from torch.nn import functional as F\n","import matplotlib.pyplot as plt\n","%matplotlib inline"],"execution_count":1,"outputs":[]},{"cell_type":"code","metadata":{"id":"AzU_b0R9Vnc0","executionInfo":{"status":"ok","timestamp":1616947728640,"user_tz":-540,"elapsed":3729,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}}},"source":["n_size = 200\n","x = np.linspace(0, 2*np.pi, n_size)"],"execution_count":2,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"8V0UlEvY0FA9"},"source":["SinとCosを確認"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":282},"id":"-IZPF0VaVwsT","executionInfo":{"status":"ok","timestamp":1616947728642,"user_tz":-540,"elapsed":3718,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}},"outputId":"f3b231b8-11a4-417d-cbe8-1d742c211add"},"source":["s = pd.Series(np.sin(x), index=x)\n","c = pd.Series(np.cos(x), index=x)\n","waves = pd.DataFrame({'sin': s, 'cos': c})\n","waves.plot(color=('r', 'b'))"],"execution_count":3,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<AxesSubplot:>"]},"metadata":{},"execution_count":3},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/svg+xml":"<?xml version=\"1.0\" 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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"pPqYkw0Z0MW2"},"source":["処理しやすいように転置して、ラベル情報を加えておく"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":129},"id":"mWxTpH1YV9p1","executionInfo":{"status":"ok","timestamp":1616947730556,"user_tz":-540,"elapsed":1181,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}},"outputId":"6657bdd3-19d0-4ca6-efe9-ef80940def20"},"source":["noises = pd.DataFrame(snoise.values).transpose()\n","noises.insert(0, \"label\", [\"sin\"], True)\n","noises"],"execution_count":5,"outputs":[{"output_type":"execute_result","data":{"text/plain":["  label         0         1         2         3         4         5         6  \\\n","0   sin  0.206845  0.545312  0.133014  0.520877 -0.485771  0.618898  0.458121   \n","\n","          7         8  ...       190       191       192       193       194  \\\n","0  0.499971  0.309631  ... -0.293805  0.133191  0.382461 -0.470752 -0.456765   \n","\n","        195      196       197       198      199  \n","0  0.192497 -0.37545 -0.443497  0.148427 -0.33449  \n","\n","[1 rows x 201 columns]"],"text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>label</th>\n      <th>0</th>\n      <th>1</th>\n      <th>2</th>\n      <th>3</th>\n      <th>4</th>\n      <th>5</th>\n      <th>6</th>\n      <th>7</th>\n      <th>8</th>\n      <th>...</th>\n      <th>190</th>\n      <th>191</th>\n      <th>192</th>\n      <th>193</th>\n      <th>194</th>\n      <th>195</th>\n      <th>196</th>\n      <th>197</th>\n      <th>198</th>\n      <th>199</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>sin</td>\n      <td>0.206845</td>\n      <td>0.545312</td>\n      <td>0.133014</td>\n      <td>0.520877</td>\n      <td>-0.485771</td>\n      <td>0.618898</td>\n      <td>0.458121</td>\n      <td>0.499971</td>\n      <td>0.309631</td>\n      <td>...</td>\n      <td>-0.293805</td>\n      <td>0.133191</td>\n      <td>0.382461</td>\n      <td>-0.470752</td>\n      <td>-0.456765</td>\n      <td>0.192497</td>\n      <td>-0.37545</td>\n      <td>-0.443497</td>\n      <td>0.148427</td>\n      <td>-0.33449</td>\n    </tr>\n  </tbody>\n</table>\n<p>1 rows × 201 columns</p>\n</div>"},"metadata":{},"execution_count":5}]},{"cell_type":"markdown","metadata":{"id":"w35F5ugT0TWo"},"source":["データが30個になるようにランダム生成"]},{"cell_type":"code","metadata":{"id":"53hPci3Hilrl","executionInfo":{"status":"ok","timestamp":1616947733164,"user_tz":-540,"elapsed":1133,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}}},"source":["for _ in range(29):\n","    if np.random.choice([False, True]):\n","        snoise = (np.sin(x) + noise_rate * np.random.randn(n_size)).tolist()\n","        snoise.insert(0, 'sin')\n","        noises = noises.append(\n","            pd.Series(snoise, index=noises.columns), ignore_index=True)\n","    else:\n","        cnoise = (np.cos(x) + noise_rate * np.random.randn(n_size)).tolist()\n","        cnoise.insert(0, 'cos')\n","        noises = noises.append(\n","            pd.Series(cnoise, index=noises.columns), ignore_index=True)"],"execution_count":6,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":253},"id":"7_3Fvw_Smpu9","executionInfo":{"status":"ok","timestamp":1616947735407,"user_tz":-540,"elapsed":854,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}},"outputId":"28ba0d3f-4809-42bf-98ab-c9c8c591de4d"},"source":["noises.head()"],"execution_count":7,"outputs":[{"output_type":"execute_result","data":{"text/plain":["  label         0         1         2         3         4         5         6  \\\n","0   sin  0.206845  0.545312  0.133014  0.520877 -0.485771  0.618898  0.458121   \n","1   sin  0.080529 -0.413816 -0.166984 -0.012129  0.542713 -0.188106  0.386863   \n","2   sin -0.309164 -0.045087  0.198138  0.012492  0.118546  0.196914 -0.458946   \n","3   sin  0.325778  0.002085  0.078981  0.288778 -0.168770 -0.193788  0.479965   \n","4   cos  1.216475  1.053617  1.253841  1.040700  1.238465  0.703785  0.696930   \n","\n","          7         8  ...       190       191       192       193       194  \\\n","0  0.499971  0.309631  ... -0.293805  0.133191  0.382461 -0.470752 -0.456765   \n","1 -0.425255  0.344209  ... -0.171179  0.113763 -0.873702 -0.095803 -0.643465   \n","2  0.235967  0.832418  ... -0.244424 -0.225846 -0.572498 -0.586632 -0.688979   \n","3 -0.189397  0.435387  ... -0.516329 -0.438903 -0.117369  0.253046 -0.341663   \n","4  1.091345  0.634652  ...  0.789880  1.313721  1.351784  0.851041  0.922329   \n","\n","        195       196       197       198       199  \n","0  0.192497 -0.375450 -0.443497  0.148427 -0.334490  \n","1 -0.287549 -0.016835  0.267694 -0.334833 -0.302023  \n","2 -0.082167  0.262589 -0.250963 -0.645363  0.098827  \n","3  0.256129 -0.180936 -0.447853 -0.128332  0.081794  \n","4  0.820625  0.819185  1.520380  1.028067  0.804181  \n","\n","[5 rows x 201 columns]"],"text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>label</th>\n      <th>0</th>\n      <th>1</th>\n      <th>2</th>\n      <th>3</th>\n      <th>4</th>\n      <th>5</th>\n      <th>6</th>\n      <th>7</th>\n      <th>8</th>\n      <th>...</th>\n      <th>190</th>\n      <th>191</th>\n      <th>192</th>\n      <th>193</th>\n      <th>194</th>\n      <th>195</th>\n      <th>196</th>\n      <th>197</th>\n      <th>198</th>\n      <th>199</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>sin</td>\n      <td>0.206845</td>\n      <td>0.545312</td>\n      <td>0.133014</td>\n      <td>0.520877</td>\n      <td>-0.485771</td>\n      <td>0.618898</td>\n      <td>0.458121</td>\n      <td>0.499971</td>\n      <td>0.309631</td>\n      <td>...</td>\n      <td>-0.293805</td>\n      <td>0.133191</td>\n      <td>0.382461</td>\n      <td>-0.470752</td>\n      <td>-0.456765</td>\n      <td>0.192497</td>\n      <td>-0.375450</td>\n      <td>-0.443497</td>\n      <td>0.148427</td>\n      <td>-0.334490</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>sin</td>\n      <td>0.080529</td>\n      <td>-0.413816</td>\n      <td>-0.166984</td>\n      <td>-0.012129</td>\n      <td>0.542713</td>\n      <td>-0.188106</td>\n      <td>0.386863</td>\n      <td>-0.425255</td>\n      <td>0.344209</td>\n      <td>...</td>\n      <td>-0.171179</td>\n      <td>0.113763</td>\n      <td>-0.873702</td>\n      <td>-0.095803</td>\n      <td>-0.643465</td>\n      <td>-0.287549</td>\n      <td>-0.016835</td>\n      <td>0.267694</td>\n      <td>-0.334833</td>\n      <td>-0.302023</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>sin</td>\n      <td>-0.309164</td>\n      <td>-0.045087</td>\n      <td>0.198138</td>\n      <td>0.012492</td>\n      <td>0.118546</td>\n      <td>0.196914</td>\n      <td>-0.458946</td>\n      <td>0.235967</td>\n      <td>0.832418</td>\n      <td>...</td>\n      <td>-0.244424</td>\n      <td>-0.225846</td>\n      <td>-0.572498</td>\n      <td>-0.586632</td>\n      <td>-0.688979</td>\n      <td>-0.082167</td>\n      <td>0.262589</td>\n      <td>-0.250963</td>\n      <td>-0.645363</td>\n      <td>0.098827</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>sin</td>\n      <td>0.325778</td>\n      <td>0.002085</td>\n      <td>0.078981</td>\n      <td>0.288778</td>\n      <td>-0.168770</td>\n      <td>-0.193788</td>\n      <td>0.479965</td>\n      <td>-0.189397</td>\n      <td>0.435387</td>\n      <td>...</td>\n      <td>-0.516329</td>\n      <td>-0.438903</td>\n      <td>-0.117369</td>\n      <td>0.253046</td>\n      <td>-0.341663</td>\n      <td>0.256129</td>\n      <td>-0.180936</td>\n      <td>-0.447853</td>\n      <td>-0.128332</td>\n      <td>0.081794</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>cos</td>\n      <td>1.216475</td>\n      <td>1.053617</td>\n      <td>1.253841</td>\n      <td>1.040700</td>\n      <td>1.238465</td>\n      <td>0.703785</td>\n      <td>0.696930</td>\n      <td>1.091345</td>\n      <td>0.634652</td>\n      <td>...</td>\n      <td>0.789880</td>\n      <td>1.313721</td>\n      <td>1.351784</td>\n      <td>0.851041</td>\n      <td>0.922329</td>\n      <td>0.820625</td>\n      <td>0.819185</td>\n      <td>1.520380</td>\n      <td>1.028067</td>\n      <td>0.804181</td>\n    </tr>\n  </tbody>\n</table>\n<p>5 rows × 201 columns</p>\n</div>"},"metadata":{},"execution_count":7}]},{"cell_type":"markdown","metadata":{"id":"gjWQyQEi0m3A"},"source":["学習データで利用するのは 'label' カラム以外"]},{"cell_type":"code","metadata":{"id":"yXlm47I-nNPa","executionInfo":{"status":"ok","timestamp":1616947736790,"user_tz":-540,"elapsed":863,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}}},"source":["train_data = noises.iloc[:, 1:].values"],"execution_count":8,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"E6TDskQ_0oph"},"source":["https://aidiary.hatenablog.com/entry/20180228/1519828344 の記事を参考に作成\n","中間層は入力100、出力10にしているけど、データ量によって調節したり、層を増やしてもいいかも。"]},{"cell_type":"code","metadata":{"id":"atdEshb4XU1s","executionInfo":{"status":"ok","timestamp":1616947739920,"user_tz":-540,"elapsed":1087,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}}},"source":["class VAE(nn.Module):\n","    def __init__(self, n_size=200):\n","        super(VAE, self).__init__()\n","        self.n_size = n_size\n","\n","        self.fc1 = nn.Linear(self.n_size, 30)\n","        self.fc21 = nn.Linear(30, 2)  # mu\n","        self.fc22 = nn.Linear(30, 2)  # logvar\n","\n","        self.fc3 = nn.Linear(2, 30)\n","        self.fc4 = nn.Linear(30, n_size)\n","\n","        self.relu = nn.ReLU()\n","        self.sigmoid = nn.Sigmoid()\n","\n","    def encode(self, x):\n","        h = self.relu(self.fc1(x))\n","        return self.fc21(h), self.fc22(h)\n","\n","    def reparameterize(self, mu, logvar):\n","        if self.training:\n","            std = logvar.mul(0.5).exp_()\n","            eps = Variable(std.data.new(std.size()).normal_())\n","            return eps.mul(std).add_(mu)\n","        else:\n","            return mu\n","\n","    def decode(self, z):\n","        h = self.relu(self.fc3(z))\n","        return self.fc4(h)\n","\n","    def forward(self, x):\n","        x = x.view(-1, n_size)\n","        mu, logvar = self.encode(x)\n","        z = self.reparameterize(mu, logvar)\n","        return self.decode(z), mu, logvar"],"execution_count":9,"outputs":[]},{"cell_type":"code","metadata":{"id":"klywD-_PX4Hy","executionInfo":{"status":"ok","timestamp":1616947741904,"user_tz":-540,"elapsed":974,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}}},"source":["model = VAE(n_size=n_size)\n","optimizer = optim.Adam(model.parameters(), lr=1e-3)"],"execution_count":10,"outputs":[]},{"cell_type":"code","metadata":{"id":"eXaBmMKAYXZ-","executionInfo":{"status":"ok","timestamp":1616947742376,"user_tz":-540,"elapsed":653,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}}},"source":["def loss_function(recon_x, x, mu, logvar):\n","    recon = F.mse_loss(recon_x, x.view(-1, n_size))\n","\n","    kld = -0.5 * torch.sum(1 + logvar - mu.pow(2) - logvar.exp())\n","\n","    return recon + kld"],"execution_count":11,"outputs":[]},{"cell_type":"code","metadata":{"id":"xE59vTGpYcMw","executionInfo":{"status":"ok","timestamp":1616947743907,"user_tz":-540,"elapsed":652,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}}},"source":["def train(epoch):\n","    model.train()\n","    train_loss = 0\n","    for batch_idx, data in enumerate(torch.from_numpy(train_data).float()):\n","        data = Variable(data)\n","        optimizer.zero_grad()\n","        recon_batch, mu, logvar = model(data)\n","        loss = loss_function(recon_batch, data, mu, logvar)\n","        loss.backward()\n","        train_loss += loss.data\n","        optimizer.step()\n","\n","    train_loss /= len(train_data)\n","\n","    return train_loss"],"execution_count":12,"outputs":[]},{"cell_type":"code","metadata":{"id":"-Lcndie_ob-z","executionInfo":{"status":"ok","timestamp":1616947747385,"user_tz":-540,"elapsed":2701,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}},"tags":[]},"source":["loss_list = []\n","num_epochs = 20\n","seed = 1\n","for epoch in range(1, num_epochs + 1):\n","    loss = train(epoch)\n","    # logging\n","    loss_list.append(loss)\n","\n","# save the training model\n","np.save('loss_list.npy', np.array(loss_list))\n","torch.save(model.state_dict(), 'vae.pth')"],"execution_count":13,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":290},"id":"T9NMRfofZNk_","executionInfo":{"status":"ok","timestamp":1616947747391,"user_tz":-540,"elapsed":1124,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}},"outputId":"b20bf923-f2b0-48ea-cef2-ae6da8a20eca"},"source":["loss_list = np.load('loss_list.npy')\n","plt.plot(loss_list)\n","plt.xlabel('epoch')\n","plt.ylabel('loss')\n","plt.grid()"],"execution_count":14,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 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yamo","photoUrl":"","userId":"17222446466564004767"}},"outputId":"bc4b7650-2c8f-4628-b308-0f0810396bc4"},"source":["model.load_state_dict(torch.load('vae.pth'))\n","mu, logvar = model.encode(\n","    Variable(torch.from_numpy(train_data).float(), volatile=True))\n","mu, logvar = mu.data.numpy(), logvar.data.numpy()\n","print(mu.shape, logvar.shape)"],"execution_count":15,"outputs":[{"output_type":"stream","name":"stdout","text":["(30, 2) (30, 2)\n","<ipython-input-15-8b408e664cb4>:3: UserWarning: volatile was removed and now has no effect. Use `with torch.no_grad():` instead.\n","  Variable(torch.from_numpy(train_data).float(), volatile=True))\n"]}]},{"cell_type":"code","metadata":{"id":"Ad7cvLZuubc2","executionInfo":{"status":"ok","timestamp":1616947754745,"user_tz":-540,"elapsed":835,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}}},"source":["mu_df = pd.DataFrame(mu)\n","mu_df.loc[:, 'label'] = noises['label']\n","sin_df = mu_df[mu_df['label'] == 'sin']\n","cos_df = mu_df[mu_df['label'] == 'cos']"],"execution_count":16,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":265},"id":"_hBpy7uMqMV1","executionInfo":{"status":"ok","timestamp":1616947756522,"user_tz":-540,"elapsed":1405,"user":{"displayName":"maya yamo","photoUrl":"","userId":"17222446466564004767"}},"outputId":"843d286b-d492-43f1-b481-5be44c30d42d"},"source":["plt.scatter(sin_df.iloc[:, 0], sin_df.iloc[:, 1], marker='.', label='sin')\n","plt.scatter(cos_df.iloc[:, 0], cos_df.iloc[:, 1], marker='.', label='cos')\n","plt.legend()\n","plt.grid()"],"execution_count":17,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/svg+xml":"<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"248.518125pt\" version=\"1.1\" viewBox=\"0 0 386.845312 248.518125\" width=\"386.845312pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <metadata>\r\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\r\n   <cc:Work>\r\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\r\n    <dc:date>2021-03-29T15:38:10.442455</dc:date>\r\n    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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","execution_count":null,"metadata":{},"outputs":[],"source":[]}]}