vgoklani/Pytorch Wavenet.ipynb

## Pytorch Wavenet.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import torch\n",
    "from torch import nn, optim\n",
    "from torch.autograd import Variable\n",
    "from IPython.display import Audio\n",
    "from scipy.io import wavfile\n",
    "\n",
    "class One_Hot(nn.Module):\n",
    "    def __init__(self, depth):\n",
    "        super(One_Hot,self).__init__()\n",
    "        self.depth = depth\n",
    "        self.ones = torch.sparse.torch.eye(depth)\n",
    "    def forward(self, X_in):\n",
    "        X_in = X_in\n",
    "        return Variable(self.ones.index_select(0,X_in.data))\n",
    "    def __repr__(self):\n",
    "        return self.__class__.__name__ + \"({})\".format(self.depth)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Wavenet  class\n",
    "Two generation functions are included. generate_slow( ) is easy to understand, but generate( ) is much faster."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "class WaveNet(nn.Module):\n",
    "    def __init__(self, mu=256,n_residue=32, n_skip= 512, dilation_depth=10, n_repeat=5):\n",
    "        # mu: audio quantization size\n",
    "        # n_residue: residue channels\n",
    "        # n_skip: skip channels\n",
    "        # dilation_depth & n_repeat: dilation layer setup\n",
    "        super(WaveNet, self).__init__()\n",
    "        self.dilation_depth = dilation_depth\n",
    "        dilations = self.dilations = [2**i for i in range(dilation_depth)] * n_repeat\n",
    "        self.one_hot = One_Hot(mu)\n",
    "        self.from_input = nn.Conv1d(in_channels=mu, out_channels=n_residue, kernel_size=1)\n",
    "        self.conv_sigmoid = nn.ModuleList([nn.Conv1d(in_channels=n_residue, out_channels=n_residue, kernel_size=2, dilation=d)\n",
    "                         for d in dilations])\n",
    "        self.conv_tanh = nn.ModuleList([nn.Conv1d(in_channels=n_residue, out_channels=n_residue, kernel_size=2, dilation=d)\n",
    "                         for d in dilations])\n",
    "        self.skip_scale = nn.ModuleList([nn.Conv1d(in_channels=n_residue, out_channels=n_skip, kernel_size=1)\n",
    "                         for d in dilations])\n",
    "        self.residue_scale = nn.ModuleList([nn.Conv1d(in_channels=n_residue, out_channels=n_residue, kernel_size=1)\n",
    "                         for d in dilations])\n",
    "        self.conv_post_1 = nn.Conv1d(in_channels=n_skip, out_channels=n_skip, kernel_size=1)\n",
    "        self.conv_post_2 = nn.Conv1d(in_channels=n_skip, out_channels=mu, kernel_size=1)\n",
    "        \n",
    "    def forward(self, input):\n",
    "        output = self.preprocess(input)\n",
    "        skip_connections = [] # save for generation purposes\n",
    "        for s, t, skip_scale, residue_scale in zip(self.conv_sigmoid, self.conv_tanh, self.skip_scale, self.residue_scale):\n",
    "            output, skip = self.residue_forward(output, s, t, skip_scale, residue_scale)\n",
    "            skip_connections.append(skip)\n",
    "        # sum up skip connections\n",
    "        output = sum([s[:,:,-output.size(2):] for s in skip_connections])\n",
    "        output = self.postprocess(output)\n",
    "        return output\n",
    "    \n",
    "    def preprocess(self, input):\n",
    "        output = self.one_hot(input).unsqueeze(0).transpose(1,2)\n",
    "        output = self.from_input(output)\n",
    "        return output\n",
    "    \n",
    "    def postprocess(self, input):\n",
    "        output = nn.functional.elu(input)\n",
    "        output = self.conv_post_1(output)\n",
    "        output = nn.functional.elu(output)\n",
    "        output = self.conv_post_2(output).squeeze(0).transpose(0,1)\n",
    "        return output\n",
    "    \n",
    "    def residue_forward(self, input, conv_sigmoid, conv_tanh, skip_scale, residue_scale):\n",
    "        output = input\n",
    "        output_sigmoid, output_tanh = conv_sigmoid(output), conv_tanh(output)\n",
    "        output = nn.functional.sigmoid(output_sigmoid) * nn.functional.tanh(output_tanh)\n",
    "        skip = skip_scale(output)\n",
    "        output = residue_scale(output)\n",
    "        output = output + input[:,:,-output.size(2):]\n",
    "        return output, skip\n",
    "    \n",
    "    def generate_slow(self, input, n=100):\n",
    "        res = input.data.tolist()\n",
    "        for _ in range(n):\n",
    "            x = Variable(torch.LongTensor(res[-sum(self.dilations)-1:]))\n",
    "            y = self.forward(x)\n",
    "            _, i = y.max(dim=1)\n",
    "            res.append(i.data.tolist()[-1])\n",
    "        return res\n",
    "    \n",
    "    def generate(self, input=None, n=100, temperature=None, estimate_time=False):\n",
    "        ## prepare output_buffer\n",
    "        output = self.preprocess(input)\n",
    "        output_buffer = []\n",
    "        for s, t, skip_scale, residue_scale, d in zip(self.conv_sigmoid, self.conv_tanh, self.skip_scale, self.residue_scale, self.dilations):\n",
    "            output, _ = self.residue_forward(output, s, t, skip_scale, residue_scale)\n",
    "            sz = 1 if d==2**(self.dilation_depth-1) else d*2\n",
    "            output_buffer.append(output[:,:,-sz-1:-1])\n",
    "        ## generate new \n",
    "        res = input.data.tolist()\n",
    "        for i in range(n):\n",
    "            output = Variable(torch.LongTensor(res[-2:]))\n",
    "            output = self.preprocess(output)\n",
    "            output_buffer_next = []\n",
    "            skip_connections = [] # save for generation purposes\n",
    "            for s, t, skip_scale, residue_scale, b in zip(self.conv_sigmoid, self.conv_tanh, self.skip_scale, self.residue_scale, output_buffer):\n",
    "                output, residue = self.residue_forward(output, s, t, skip_scale, residue_scale)\n",
    "                output = torch.cat([b, output], dim=2)\n",
    "                skip_connections.append(residue)\n",
    "                if i%100==0:\n",
    "                    output = output.clone()\n",
    "                output_buffer_next.append(output[:,:,-b.size(2):])\n",
    "            output_buffer = output_buffer_next\n",
    "            output = output[:,:,-1:]\n",
    "            # sum up skip connections\n",
    "            output = sum(skip_connections)\n",
    "            output = self.postprocess(output)\n",
    "            if temperature is None:\n",
    "                _, output = output.max(dim=1)\n",
    "            else:\n",
    "                output = output.div(temperature).exp().multinomial(1).squeeze()\n",
    "            res.append(output.data[-1])\n",
    "        return res"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## test network forward( )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Variable containing:\n",
       "-2.9986e-02 -1.4402e-01  1.4840e-01  ...  -3.9645e-01 -5.8099e-02  2.5070e-01\n",
       "-2.4162e-02 -1.1120e-01  1.2160e-01  ...  -3.7431e-01 -3.9232e-02  2.3867e-01\n",
       " 3.8693e-03 -1.3125e-01  1.2057e-01  ...  -3.9151e-01 -3.6346e-02  2.2275e-01\n",
       "                ...                   ⋱                   ...                \n",
       "-1.2905e-02 -1.1839e-01  8.8238e-02  ...  -4.0279e-01 -6.8743e-02  2.7282e-01\n",
       " 1.6364e-02 -1.0682e-01  1.4477e-01  ...  -3.8932e-01 -6.7733e-02  2.7721e-01\n",
       "-8.4449e-03 -9.2621e-02  1.3567e-01  ...  -3.7745e-01 -3.0800e-02  2.6266e-01\n",
       "[torch.FloatTensor of size 4885x128]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "net = WaveNet(mu=128)\n",
    "batch = Variable(torch.from_numpy(np.random.randint(0,128,10000).astype(np.long)))\n",
    "net(batch)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## test generation\n",
    "\n",
    "- generate_slow( ) is easy to understand\n",
    "- generate( ) is faster than generate_slow( )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 4.61 s, sys: 472 ms, total: 5.08 s\n",
      "Wall time: 1.47 s\n",
      "CPU times: user 25.3 s, sys: 4.86 s, total: 30.2 s\n",
      "Wall time: 9.88 s\n"
     ]
    }
   ],
   "source": [
    "%time y_gen = net.generate(batch, 20)\n",
    "%time y_gen2 = net.generate_slow(batch, 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([20, 20, 20, 20, 20], [20, 20, 20, 20, 20])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_gen[-5:], y_gen2[-5:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## $\\mu$-law encode and decode"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def encode_mu_law(x, mu=256):\n",
    "    mu = mu-1\n",
    "    fx = np.sign(x)*np.log(1+mu*np.abs(x))/np.log(1+mu)\n",
    "    return np.floor((fx+1)/2*mu+0.5).astype(np.long)\n",
    "\n",
    "def decode_mu_law(y, mu=256):\n",
    "    mu = mu-1\n",
    "    fx = (y-0.5)/mu*2-1\n",
    "    x = np.sign(fx)/mu*((1+mu)**np.abs(fx)-1)\n",
    "    return x  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## sine wave generator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x11815aba8>]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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QYvzcNDg8/uDMuRAT5wW+k9tkvSi1GGtyAjPx5RYPHlwkJtT514+ByARBYBO1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\npW/fV8ifPtjChZ3SbSOrXq+Xn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jI9Hel3aG8eh58XoqOBj5RSq5RS95rn2mitc83jfUAb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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10add3d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def sine_generator(seq_size = 6000, mu=256):\n",
    "    framerate = 44100\n",
    "    t = np.linspace(0,5,framerate*5)\n",
    "    data = np.sin(2*np.pi*220*t) + np.sin(2*np.pi*224*t)\n",
    "    data = data/2\n",
    "    while True:\n",
    "        start = np.random.randint(0,data.shape[0]-seq_size)\n",
    "        ys = data[start:start+seq_size]\n",
    "        ys = encode_mu_law(ys,mu)\n",
    "        yield Variable(torch.from_numpy(ys[:seq_size]))\n",
    "        \n",
    "g = sine_generator(mu=64, seq_size=20000)\n",
    "x = next(g)\n",
    "plt.figure(figsize=[15,3])\n",
    "plt.plot(x.data.tolist(),'.', ms=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## listen to the signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio controls=\"controls\" >\n",
       "                    <source 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type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = np.array(x)\n",
    "y = decode_mu_law(y, 64)\n",
    "Audio(y,rate=44100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## network training\n",
    "\n",
    "This network tries to generate the vibrating sine wave above. \n",
    "- The audio signal is quantized to 64 discrete integers.\n",
    "- 24 channels in residue outputs\n",
    "- 128 channels in skip outputs\n",
    "- 20 dilation layers (n_repeat=2, dilation_depth=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 0, loss 4.199806213378906\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10adce470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 100, loss 0.29620373249053955\n"
     ]
    },
    {
     "data": {
      "image/png": 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l9t/BaaLgAYCTCOrgrVGxXdiHBwAAAM0qKbNQg7sHyceLl+Y4ffwtAoBGmNw/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\n+X+fTfw3XVBaqX9+vlPp+0t1Vp8Q3X1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      "text/plain": [
       "<matplotlib.figure.Figure at 0x246b24b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 200, loss 0.1825748085975647\n"
     ]
    },
    {
     "data": {
      "image/png": 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RsqDLAwAAQIRgBA8AANHCXbkr39VDyxM0b32RurRP1OfPG6jPnN1P7ZNYVg8AAKA1YooW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\nFQEPAABoNe467ai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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a5e97080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 300, loss 0.14587587118148804\n"
     ]
    },
    {
     "data": {
      "image/png": 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KPEADa9kiXi0rX55Vrl1W+Inh+k5gzv0XD9DER7bryXfW6EeXDgw/HwAAAM3a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\nsuLOi+7+WoX2BElXSHo53Fx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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1099a4160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 400, loss 0.11730969697237015\n"
     ]
    },
    {
     "data": {
      "image/png": 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QQnuLDumJz1M0dXCoZo8IdzoOAAAA2tDEuBBdPLqf5n+VofT9pU7HQQfRnBE8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\nMQsAAAAe5vfnDdXylP2694M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      "text/plain": [
       "<matplotlib.figure.Figure at 0x2127db978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 500, loss 0.09561783075332642\n"
     ]
    },
    {
     "data": {
      "image/png": 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eWb5N5/Vqp3N7tXM6DgAAABpZn8hWCo0epA9X75FlmRYaCQUeAGhib363QweP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\n8PEA4PRl5BXp5ndXq1v5dr1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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1202a1f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 600, loss 0.09707082808017731\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x2127bb390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 700, loss 0.08333390206098557\n"
     ]
    },
    {
     "data": {
      "image/png": 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1tdYeLVNnSupa0w2NMdcbYzYbYzZnZ2fXPSnggay1um/xTgUF+urWKf2djgMA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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12de1c208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 800, loss 0.08526495099067688\n"
     ]
    },
    {
     "data": {
      "image/png": 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VXvzNBl305B36Ysddivn8c9rCtlffLv6m/ssw2tI55kLO94NJf6/CxqulmavS+wUAGDVm\npltXztS3n92lT/xL3Xnto/268tb4H+ii5Vdl8BkCAAAAF856BuikuHPPdXZ+IunT7v5GctsXJdVI\nep8PcbKamhqvqzv/wzlyzz0Pv6Y3Gzbqz/7zB2QF53/7XXo0ptbp4X6/Ge+3LZ1jLuB8S3yvxs2+\nhG/hgRzR3tmtHY3N6vddZpReV462tOnr3/uRfu+WW/SJ6xdl7skBAAAAgzCzTe5eM+R+wynwJE/8\nJUmn3f1eM/uopP9X0lp3Pz3UsRR4xobOrm5d8bWndOOySt33gdVBxwGAUfM7f/u8Jo0r0iOfvCbo\nKAAAAMgTqRZ4UllFq+LsCllmNl7SOklbzewWSZ+T9N5UijsYO+r2HdOx0x2KVIeCjgIAoyoSDqlu\n31EdbmkLOgoAAABwjlRW0Zop6Rkze13Sy5Jq3f0JSX8vaZKkWjN7zcz+YQRzIotE6xMqKSrQmiUV\nQUcBgFG1LhxSt0tPNzQGHQUAAAA4RyqraL0u6dJ+ti8ekUTIau6uaCyuNYvLNXFcStfoBoAxo/qi\nyZo1dbyisbjef8WcoOMAAAAAb0tlBA/wtoZDzTpw7AzTswDkJTPTunBIz+04rFNtnUHHAQAAAN5G\ngQfDEo3FZSatXUGBB0B+ilSH1N7Zred3NAUdBQAAAHgbBR4MS7Q+oZp501ReNi7oKAAQiCvnT9eU\n8cWK1ieCjgIAAAC8jQIPUvbm0dOKHTqpSLgq6CgAEJiiwgKtXVGp9Vsb1dHVHXQcAAAAQBIFHgxD\nbazn2+p1YaZnAchvkXCVTpzp0Mt7jgYdBQAAAJBEgQfDUBtLaFlokuaXTww6CgAE6rql5RpXVKBo\njGlaAAAAyA4UeJCSY6fa9dLeo6yeBQCSJpQUac2SCtXGEnL3oOMAAAAAFHiQmqe3Nqqr25meBQBJ\nkXBIB4+fUf1bJ4OOAgAAAFDgQWqisbiqJpdq5awpQUcBgKywdkWlCkxM0wIAAEBWoMCDIZ1p79KG\n7U2KVIdkZkHHAYCsMKNsnGrmTVe0Ph50FAAAAIACD4b2ws7Dau3oZnl0AOgjUh3S1niz9h85HXQU\nAAAA5DkKPBhStD6uSaVFumrh9KCjAEBWOXtdsmiMUTwAAAAIFgUeDKqzq1tPNSS0dnmligvpLgDQ\n27wZE7W8ahLX4QEAAEDg+Isdg9q075iOne5QpJrpWQDQn0g4pLq9R3X0VHvQUQAAAJDHioIOMJa0\nd3brZGtH0DEy6n9vOaSSogJdt7Qi6CgAkJUi1VX6u6d36ueb39Lvrpo54o9XWlyosnG8fQMAAOBc\nfELMoN//1q/Udeh1xXyepL6rTbnCtq+ftoG2Z/qY9M/3kQXNKispHPzJA0Ceqr5osmZNKdXDP//f\n+vLPRv71f2Xhft3/mdu1ODQp808GAAAAOYsCT4bsbGxR16HX9S9lD+jFmm/q2OTl57RPO7lV17/2\nLW1Y/TfntA20PdPHXMj53lX/l1K8Wpq5Kr1fDgCMYWam7906XlW/HPnX8knHG3Tpb+7Xr16cq8W3\nvXtknxgAAAByirn7qD1YTU2N19XVjdrjjaZvP7tLf/XLBr30sZAql9RI1ufbWHcpvkWqWnlu20Db\nM33MSJwPANBjtF573fUnf/ev2m7z9cRnrhuxpwMAAIDsYWab3L1mqP24yHKGRGNxrZw1VZVLr+i/\nEGLWMwKmb9tA2zN9zEicDwDQY7Ree820dPW1euOtZh08fiZz+QEAAJDzKPBkQOPJVr26/7gi4VDQ\nUQAAY9zZ95ra+njASQAAAJBNKPBkQG1DQpJYShwAMOIWVpRpcWWZorFE0FEAAACQRSjwZEC0PqF5\nMyZoaags6CgAgDwQCYe0cc9RHT/dHnQUAAAAZAkKPBeoubVDv9l1RJFwSMZ1agAAoyBSXaWubtcz\n2xqDjgIAAIAsQYHnAm3Y3qT2rm6mZwEARs2qWVMUmjxO0XqmaQEAAKAHBZ4LFK1PaMbEEl02d1rQ\nUQAAeaKgwHTzipA2bG9Sa0dX0HEAAACQBSjwXID2zm49s7VRN68IqbCA6VkAgNETqa7S6fYu/Wrn\n4aCjAAAAIAtQ4LkAL+4+oua2TkWqWR4dADC6rlk4Q5PGFTFNCwAAAJIo8FyQaCyuCSWFunZxedBR\nAAB5pqSoQDcsr9RTDQl1dXvQcQAAABAwCjxp6u521cYSum5JhUqLC4OOAwDIQ5FwSEdOteuV/ceC\njgIAAICAUeBJ0+sHTyhxso3pWQCAwNywrELFhaZofTzoKAAAAAgYBZ401cbiKiww3bS8MugoAIA8\nNam0WO9YVK5oLCF3pmkBAADkMwo8aYrWJ3TVgumaOqEk6CgAgDwWqQ5p35HT2tHYEnQUAAAABIgC\nTxp2N7VoR2OLImGmZwEAgrVuRc97EdO0AAAA8hsFnjTUxnqWpF1XXRVwEgBAvqucXKrVc6YqGmO5\ndAAAgHw2ZIHHzErN7CUz22xm9Wb2leT26WZWa2Y7kv+dNvJxs0M0ltDFsyZr1tTxQUcBAECR6pBe\nP3BCbx0/E3QUAAAABCSVETxtkm5y90skrZZ0i5ldLenzkta7+xJJ65P3x7zG5la9sv+YImFG7wAA\nssPZ96SnGhjFAwAAkK+KhtrBe5blOHvlxuLkj0u6TdINye3fl/SspP+W8YRZZn0soRXaq0j4nUFH\nAQBAkrS4skwLyyfo8V/8Uv/43BLJ7Nwd3LXY92qnzT+3baDtybY7q9v0B7/7O+e3AQAAIOsMWeCR\nJDMrlLRJ0mJJD7r7RjMLufuh5C5xSf1ecdjM7pB0hyTNnTv3whMHbGHXbv1L2QOaoXdKuiToOAAA\nSJK+fq208Olv6ntVX9VbpUvOabuodYc+euAb+t7sc9sG2i5Jzfte0dV1X1f3ZbNUcBHvdwAAANnO\negbopLiz2VRJP5H0aUkvuPvUXm3H3H3Q6/DU1NR4XV1dulmzg7sU3yJVreQbTQBA9hjs/WmgtkGO\nefzVA/qfjzyu//HJP9Rl86aPwhMAAABAf8xsk7vXDLXfsFbRcvfjkp6RdIukhJnNTD7YTEmN6QTN\nOWbSzFUUdwAA2WWw96eB2gY55oblIW23BaptyI+3dwAAgFyXyipaFcmROzKz8ZLWSdoq6WeSPpLc\n7SOSHh+pkAAAYHRNGV+sqxfOULQ+HnQUAAAApCCVETwzJT1jZq9LellSrbs/IenrktaZ2Q5JNyfv\nAwCAMSJSHdKuplPa2dgy9M4AAAAIVCqraL0u6dJ+th+RtHYkQgEAgODdvCKkLz1er9pYQosry4KO\nAwAAgEEM6xo8AAAgf1w0dbxWzZ6iaIxpWgAAANmOAg8AABhQJBzSq/uPq/Fka9BRAAAAMAgKPAAA\nYECR6ipJUm1DIuAkAAAAGAwFHgAAMKAllWWaP2OCovUUeAAAALIZBR4AADAgM1Okukq/3nVYza0d\nQccBAADAACjwAACAQUXCIXV0uTZsbwo6CgAAAAZAgQcAAAzq0rnTNGNiCdO0AAAAshgFHgAAMKjC\nAtPNK0J6Zmuj2ju7g44DAACAflDgAQAAQ4pUh9Tc1qkXdx8JOgoAAAD6QYEHAAAM6drF5ZpQUqho\nLB50FAAAAPSDAg8AABhSaXGhrl9aodpYQt3dHnQcAAAA9EGBBwAApCRSHVLiZJteP3gi6CgAAADo\ngwIPAABIyU3LQiosMEXrmaYFAACQbSjwAACAlEyZUKyrF05XNMZy6QAAANmmKOgAAAAgd0TCVfry\nz97QX373YcVLl0hmv21016y2nTo4bvG52wdrG+KY91Qd0bobbz6/DQAAYDDuUnyLVLUybz5HUOAB\nAAApu3XlTG3auEEfffNr+lLp57WrcOHbbYu6duv21q+ft32wtsGOqTy1Tcu336uOZT9W8axLRvaJ\nAQCAsSW+RXrkdun9/yrNXBV0mlFh7qO3EkZNTY3X1dWN2uMBAIARMNA3YoN9U5bGMU++cUh/+9Bj\n+u8fe7/esaRiBJ8QAAAYc8bQCB4z2+TuNUPtxzV4AADA8Jj1fBPW98PSQNvTPOa6pZXaXbRQ0YbG\nDIYHAAB5YbDPJWMUBR4AAJCVxpcUas2SCkXr4xrNEccAAAC5iAIPAADIWpFwSG+daFX9WyeDjgIA\nAJDVKPAAAICstXZFSAUmRevjQUcBAADIahR4AABA1po+sURXzJ+uaCwRdBQAAICsRoEHAABktUh1\nlbbGm7XvyKmgowAAAGQtCjwAACCrRcIhSVIto3gAAAAGRIEHAABktTnTJ2h51SSmaQEAAAyCAg8A\nAMh6keoq1e09qiMtbUFHAQAAyEoUeAAAQNaLhEPqdmn91sagowAAAGQlCjwAACDrVV80WbOmjle0\nnmlaAAAA/aHAAwAAsp6ZaV04pOd3NOl0e2fQcQAAALIOBR4AAJATItUhtXV267nth4OOAgAAkHUo\n8AAAgJxw5fzpmjK+WNFYPOgoAAAAWYcCDwAAyAlFhQVau6JS6xsa1dnVHXQcAACArEKBBwAA5IxI\nOKQTZzr00t6jQUcBAADIKkMWeMxsjpk9Y2YxM6s3szuT21eb2Ytm9pqZ1ZnZlSMfFwAA5LPrllZo\nXFGBamOspgUAANBbKiN4OiXd4+5hSVdL+pSZhSX9taSvuPtqSV9K3gcAABgxE0qKtGZJuaL1Cbl7\n0HEAAACyRtFQO7j7IUmHkrebzaxB0ixJLmlycrcpkt4aqZAAAABnRcJVeqohoR/89Al1lFdLZr9t\ndNf0lm06Wrbs3O3ptrnrstIDWl2z5vxjAADAiOvqdj1a96ZKjtT3+z494Hu7pFWzp6hm/vRRTBus\nIQs8vZnZfEmXStoo6S5JT5rZveoZCfSOAY65Q9IdkjR37twLiAoAACCtXVGpmnEHdd2r9+q/dNyl\nmM9/uy1se/Xt4m+etz3dtrDt1bqSb6qt6kcaN2f1yD0pAADQr6caEvreT34+4Pv0QO/tkvRfb1iU\nVwUeS3V4s5mVSdog6Wvu/piZ/Z2kDe7+qJm9X9Id7n7zYOeoqanxurq6Cw4NAADyW2t7pzoOvq7u\nyovP+yavoPGN87en2fbi7sP624ce05986Pd1c3XVCD4jAADQn3se2aynYnE99+FyKbQy9fd9SeOK\nC1RaXDiKaUeGmW1y95qh9ktpBI+ZFUt6VNJD7v5YcvNHJN2ZvP0jSf+UTlAAAIDhKi0pUumCy/pv\nHGh7Gm03Lg/psyWLFW1IUOABAGCUdXZ1a/3WhNauCGnKwgFG0g723p5nUllFyyR9R1KDu9/Xq+kt\nSdcnb98kaUfm4wEAAASnpKhANy6v1FMNjerq5qLOAACMppf3HtPx0x2KVIeCjpITUllF61pJt0u6\nKbkk+mtmdqukT0j6GzPbLOkvlbzODgAAwFgSqQ7p6Kl2bdp3LOgoAADklWgsrnFFBbpuaUXQUXJC\nKqtovSBpoGUjLs9sHAAAgOxy/dIKlRQWqDYW15UL8udCjQAABMndVRtLaM2Sck0oGdb6UHkrlRE8\nAAAAeWtSabGuWTRD0VhCqS5OAQAALkzDoWYdOHZG68JMz0oVBR4AAIAhRKpD2nfktLYnWoKOAgBA\nXojG4jKT1q6gwJMqCjwAAABDWJf8cBmtjwecBACA/BCtT6hm3jSVl40LOkrOoMADAAAwhMrJpbp0\n7lRFY4mgowAAMOa9efS0YodOKhKuCjpKTqHAAwAAkIJIuEpbDp7QW8fPBB0FAIAxrTb5hQrX3xke\nCjwAAAApiFT3fMisZRQPAAAjKhqLa1lokuaXTww6Sk6hwAMAAJCCRRVlWlQxUdEY1+EBAGCkHDvV\nrpf2HH37ixWkjgIPAABAiiLVVXpx91GdON0RdBQAAMak9Vsb1e3i+jtpoMADAACQonXhkLq6Xc9s\naww6CgAAY1JtLK6ZU0p18azJQUfJORR4AAAAUrR69lRVTBrHNC0AAEbAmfYubdjepHXhkMws6Dg5\nhwIPAABAigoKTOvCIT27rUmtHV1BxwEAYEx5YedhtXZ0Mz0rTRR4AAAAhiESDul0e5d+vetw0FEA\nABhTovVxTSot0lULpwcdJSdR4AEAABiGaxbNUNm4IkXrWS4dAIBM6ezq1lMNCa1dXqniQkoV6eC3\nBgAAMAzkqLKvAAATkklEQVTjigp1w7IKPdWQUFe3Bx0HAIAxYdO+Yzp2ukORaqZnpaso6AAAAAC5\nJlJdpSdeP6SfvHpQiyomBpplWdUkTSjhIx0AYHSdbO3QrsaWjJ3vkboDKikq0HVLKzJ2znzDpwEA\nAIBhumFZhcYVmb7748cV83mSeq/04Qrbvn62p9s2+DF/vOKMPvvhP5BYbQQAMIo+82+vqHFHXUbf\n0/5oYbPKSgpHMvaYRoEHAABgmCaXFiv6h9NV+X8+pzfW/L1apoXfbis7FtPFz3/7vO3ptg12zHMb\nntYHdv+ZOg4uVfHsS0bgmQIAcL4Tpzt0ZNcm/UvZA9qz9h8y8p5Wdiymy37zp1K8Wpq5alSex1hj\n7qM3d7ympsbr6upG7fEAAABGjLsU3yJVrTx39MxA29NtG+SYp+rjuu8Hj+rzH/1/dN2yygw/QQAA\n+vfTVw/qrodf1S8+MFUrVl+bkfe0QdvynJltcveaofbjIssAAADpMOv5hrHvh9CBtqfbNsgx71xa\noT1FixRtYEUvAMDoicbiqphUqmWX9FPckTL/HomUUOABAADIUaXFhbp+aYVqYwl1s6IXAGAUtHZ0\n6dltTVoXDqmggGJMNqHAAwAAkMMi1SElTrbp9YMngo4CAMgDv951WKfbuxQJh4KOgj4o8AAAAOSw\nm5ZXqrDAFK2PBx0FAJAHovUJlY0r0jWLZgQdBX1Q4AEAAMhhUyeU6KoF0xWNcR0eAMDI6up2PdWQ\n0A3LKjSuiOXMsw0FHgAAgBwXCYe0s7FFu5pago4CABjDXt1/TIdb2hWprgo6CvpBgQcAACDHrUt+\n0K5lFA8AYARFYwkVF5puWFYRdBT0gwIPAABAjps1dbwunjWZAg8AYMS4u6L1cV2zqFyTS4uDjoN+\nUOABAAAYA9atqNIr+4+psbk16CgAgDFoZ2OL9h45rXWsnpW1KPAAAACMAZHqkNyl9Q2NQUcBAIxB\nZy/mv24FBZ5sRYEHAABgDFheNUlzpo9nuXQAwIiI1sd1yZypqppSGnQUDIACDwAAwBhgZoqEq/Sr\nnUfU0tYZdBwAwBhy6MQZbT5wQhGmZ2U1CjwAAABjRCQcUntXtzZsawo6CgBgDHkqOT3rXdUUeLIZ\nBR4AAIAx4vJ50zR9YomiMaZpAQAyJxpLaGH5RC2qKAs6CgZBgQcAAGCMKCos0NrllXp6a6PaO7uD\njgMAGANOnOnQb3Yd0brqkMws6DgYBAUeAACAMSRSXaXm1k5t3HMk6CgAgDHg2W2N6ux2RcJVQUfB\nEIYs8JjZHDN7xsxiZlZvZnf2avu0mW1Nbv/rkY0KAACAoaxZUq7xxYWqTV4vAQCACxGNJVReNk6X\nzpkadBQMIZURPJ2S7nH3sKSrJX3KzMJmdqOk2yRd4u7Vku4dwZwAAABIQWlxodYsKVe0PiF3DzoO\nACCHtXV26dmtjVoXrlRBAdOzsl3RUDu4+yFJh5K3m82sQdIsSZ+Q9HV3b0u2NY5kUAAAAKQmEg7p\nQMNGLfjCGUl9P5C7wrZPMZ83jLZ0jpFKCk2P3Fam1VeskbhuAwBkzMe/X6enGgYaqZnJ1/Ke7etW\nrM5geoyUIQs8vZnZfEmXStoo6RuS1pjZ1yS1Svqsu7/czzF3SLpDkubOnXuBcQEAADCU94SOaN2U\nB/WzZX+lprKl57RVtGzTe7Y+qJ8vT70tnWMk6de/ekaza++X5jwizVyV4WcJAPmp8WSr1m9N6IZl\nFVo1+/xpU5l8La9o2abbtj2oiVPeKYlr8GQ7S3XorpmVSdog6Wvu/piZvSHpGUmfkXSFpIclLfRB\nTlhTU+N1dXUXnhoAAAADc5fiW6SqleePnEmnLc3z3f3DV/XWtpf00Bc/rqKiwgw+QQDIX/+2cb/+\n9Cdb9Mu71mh51eTzd8jka/lgx2DUmNkmd68Zar+UVtEys2JJj0p6yN0fS24+IOkx7/GSpG5J5ekG\nBgAAQIaY9YyY6e/DeDptaZ4vUl2ljWdm6+V9x9N8IgCAvqKxuOZOn6BloUn975DJ1/LBjkHWSWUV\nLZP0HUkN7n5fr6afSroxuc9SSSWSDo9ESAAAAOSe65ZWqKSoQNFYPOgoADAmNLd26Nc7jygSDsko\nuqCPVEbwXCvpdkk3mdlryZ9bJX1X0sLkVK0fSvrIYNOzAAAAkF8mjivSmsWs6AUAmbJhe5Pau7oV\nqeZ6ODhfKqtovaDzL7F91ocyGwcAAABjSaQ6pPVbG9VwqFnhi/q5VgQAIGW1sYSmTyzR5fOmBR0F\nWSila/AAAAAA6bhpeUhmYpoWAFyg9s5uPb21UWuXV6qwgOlZOB8FHgAAAIyYiknjdPncaYrWJ4KO\nAgA5beOeI2pu7WR6FgZEgQcAAAAjKlIdUuzQSb159HTQUQAgZ0XrExpfXKg1S1i8Gv2jwAMAAIAR\ntS7c821zbYxRPACQju5uV20soeuWlqu0uDDoOMhSFHgAAAAwohaUT9TSUBnX4QGANG05eELxk62K\nhJmehYFR4AEAAMCIi4Sr9NKeozp2qj3oKACQc6KxuAoLTDctrww6CrIYBR4AAACMuEh1SN0urd/a\nGHQUAMg50fqErpw/XdMmlgQdBVmMAg8AAABG3MpZU1Q1uVS1TNMCgGHZc/iUdjS2KFIdCjoKshwF\nHgAAAIw4M1OkOqQN25t0pr0r6DgAkDPOFsbXhSnwYHAUeAAAADAq1oVDau3o1gs7DwcdBQByRrQ+\nofDMyZo9bULQUZDlKPAAAABgVFy1YIYmlRYpWs80LQBIRVNzmzbtP8b0LKSEAg8AAABGRUlRgW5a\nXqmnGhLq7OoOOg4AZL31DQm5i+XRkRIKPAAAABg1kXCVjp3u0KZ9x4KOAgBZLxpLaPa08Voxc1LQ\nUZADKPAAAABg1Fy/rEIlhQWKxhJBRwGArNbS1qkXdh5WJFwlMws6DnJAUdABAAAAkD/KxhXp2kXT\n9drLz+v39h2V+v7R4q75nbu1t2jhuW0DbU+3bQTOd+PUhD7zH993/jEAcs7TDXE9EY1qT4CvK6db\nO7W4a7ci4SvOD+guxbdIVSt5zcHbGMEDAACAUXX3qnZ9u/h+hQv2q2xc0Tk/4YL9+vzJr53XNtD2\ndNsyfb5Zrbt027bP682GjUH/egFkwJNPP6U/OfbVQF9XasYf1L+WPaCa0oPnB4xvkR65vee/QJK5\n+6g9WE1NjdfV1Y3a4wEAACALDfbN80Bt6Rwziud769hpffyv/1nvfde79MkbFg/zFwIgmxw71a7L\n/0dUf36l68P/4d259zqFMcfMNrl7zVD7MYIHAAAAo8tMmrmq/z9KBmpL55hRPN9F0yao8KJLuLYQ\nMAas39qobjetvmJNbr5OIW9R4AEAAAAyIBIO6dU3j6vxZGvQUQBcgGh9XFWTS7Vy1pSgowDDQoEH\nAAAAyIBIdZXcpacaGoOOAiBNZ9q79NyOJkWqQ6xchZxDgQcAAADIgKWhMs2bMUHRWDzoKADS9PyO\nJrV2dCsSrgo6CjBsFHgAAACADDAzRcIh/XrnETW3dgQdB0AaorGEJpUW6aqF04OOAgwbBR4AAAAg\nQyLVVWrv6taG7U1BRwEwTJ1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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1202a1550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 900, loss 0.06862223893404007\n"
     ]
    },
    {
     "data": {
      "image/png": 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zePPugCsBACAyEPAAAAAg7PRJaSxJWrhpZ8CVAAAQGQh4AAAAEHYa149Vp+RE\nLdzECB4AACqCgAcAAABhqV9KkhZu2iV3D7oUAADCHgEPAAAAwlLfdknK2ZenrbsPBl0KAABhj4AH\nAAAAYalvu5KFlhdtYrt0AACOhYAHAAAAYalH64aKi47Sws0EPAAAHAsBDwAAAMJSvZho9WjTiBE8\nAABUAAEPAAAAwla/lMZavHm3iopZaBkAgKM5ZsBjZvFmNsfMFpnZUjO7P3S8qZlNM7NVoe9Nqr9c\nAAAA1CV92yVpf36RVmftC7oUAADCWkVG8ORJGuHufSX1kzTWzIZIulvSDHfvKmlG6DkAAABQZVho\nGQCAijlmwOMlDn1kEhv6ckkTJE0OHZ8s6YJqqRAAAAB1VsdmiWoYH8NCywAAHEOF1uAxs2gzWygp\nS9I0d58tqaW7bw2dkimpZTnXXmdmc81sbnZ2dpUUDQAAgLohKsrUNyWJETwAABxDhQIedy9y936S\nUiQNMrPeh7W7Skb1HOnap919gLsPSE5OPuGCAQAAULf0bddYKzL36mBBUdClAAAQto5rFy133yVp\npqSxkraZWWtJCn3PqvryAAAAUNf1a9dERcWupVt2B10KAABhqyK7aCWbWVLocX1JoyStkPSWpKtC\np10l6c3qKhIAAAB1V9+UxpKkBRuZpgUAQHliKnBOa0mTzSxaJYHQK+7+jpl9IekVM7tG0gZJF1dj\nnQAAAKijWjSKV5vG8Vq0mRE8AACU55gBj7t/Lan/EY5vl3R2dRQFAAAAlNa3HQstAwBwNMe1Bg8A\nAAAQhL4pjdVg5zLt2JcXdCkAAIQlAh4AAACEvTMaZurJ2ElaOv+zoEsBACAsEfAAAAAg7PXod5p+\nEXOXXt2cFHQpAACEJQIeAAAAhL3o6Ch16DlEM9OzlVdYFHQ5AACEHQIeAAAARIQxvVtqb16hPl+z\nPehSAAAIOwQ8AAAAiAindW6uxLhoTV2aGXQpAACEHQIeAAAARIT42GgN795C05ZtU1GxB10OAABh\nhYAHAAAAEWNMr1bK2Zev+Rt3Bl0KAABhhYAHAAAAEeOstGTFRUdpyhKmaQEAUBoBDwAAACJGw/hY\nnd6lmT5Ymil3pmkBAHAIAQ8AAAAiypherbR55wEt27on6FIAAAgbBDwAAACIKCN7tlSUSVOWbgu6\nFAAAwgYBDwAAACJK8wb1NKBDU7ZLBwCgFAIeAAAARJwxvVtpReZerc/ZH3QpAACEBQIeAAAARJzR\nPVtKkqYK5Cn5AAAVhUlEQVQwigcAAEkEPAAAAIhA7ZomqFebRgQ8AACEEPAAAAAgIo3p1UrzN+5S\n1p6DQZcCAEDgCHgAAAAQkcb2biVJmrKM3bQAACDgAQAAQETq2qKBOjZPZDctAABEwAMAAIAIZWYa\n3aulvlizXbtzC4IuBwCAQBHwAAAAIGKN6dVKhcWuD9OZpgUAqNsIeAAAABCx+qUkqUWDOC2e+6nk\nHnQ5AAAEhoAHAAAAESsqynR991xdtelXWr7ws6DLAQAgMDFBFwAAAACciO+fO143pmdr28wivd2n\nWHExfIYJAKh7ePcDAABARGsQH6srv3Oe0rP26ZlP1gZdDgAAgSDgAQAAQMQb2bOlxvdppcdmrNK6\nnP1BlwMAQI07ZsBjZu3MbKaZLTOzpWZ2S+h4UzObZmarQt+bVH+5AAAAwJHdd14v1YuJ0i/fWCxn\nwWUAQB1TkRE8hZLucPeekoZI+qmZ9ZR0t6QZ7t5V0ozQcwAAACAQLRrF655xPfTF2u16dd7moMsB\nAKBGHTPgcfet7j4/9HivpOWS2kqaIGly6LTJki6oriIBAACAirhkYDsNSm2q37+7XDn78oIuBwCA\nGnNca/CYWaqk/pJmS2rp7ltDTZmSWpZzzXVmNtfM5mZnZ59AqQAAAMDRRUWZ/nBhbx3IL9Jv3l4W\ndDkAANSYCgc8ZtZA0uuSbnX3PaXbvGSS8xEnOrv70+4+wN0HJCcnn1CxAAAAwLF0adFQN57VWW8t\n2qKZ6VlBlwMAQI2oUMBjZrEqCXdedPc3Qoe3mVnrUHtrSbx7AgAAICzcMLyzurRooP/9zxLl5hcG\nXQ4AANWuIrtomaS/SVru7o+UanpL0lWhx1dJerPqywMAAACOX72YaP3xwj7K2JWrx/75hoqKioMu\nCQCAalWRETynS7pC0ggzWxj6Gi/pAUmjzGyVpJGh5wAAAEBYGJjaVA+fGa0frP8fPfbiGyouZut0\nAEDtFXOsE9z9U0lWTvPZVVsOAAAAUHW+O36sXix4RH/+0rT77aW67/xeKhmgDgBA7XLMgAcAAACI\nWGb6wYRztSFuhZ7+eK3qx8XoF2PTCHkAALUOAQ8AAABqNTPTPeO6a39eof760Ro1qBetn43oGnRZ\nAABUKQIeAAAA1Hpmpt9O6K0D+UWaOHWl6sfF6JozOgZdFgAAVYaABwAAAHVCVJTpwYtOUm5+kX77\nzjIlxkXrkkHtgy4LAIAqUZFdtAAAAIBaISY6Sn++tL+GdW2uv//3bb25YHPQJQEAUCUIeAAAAFCn\nxMVE6anR9fR8/T/rmdfe0tSlmUGXBADACSPgAQAAQJ0Tn9JXDa/6t6Jbn6SfvbRAn6zKDrokAABO\nCAEPAAAA6h4zJbTvr8lXD1Kn5ET9+O9zNWfdjqCrAgCg0gh4AAAAUGclJcTpH9cMVpuk+rr6ha/0\n9eZdQZcEAEClEPAAAACgTktuWE8vXjtYSQmxuvK5OUrP3Bt0SQAAHDcCHgAAANR5rRvX14vXDla9\nmChd9syX2rTsS8k96LIAAKgwAh4AAABAUodmiXrx2sHq4uvkL1+hZ197Uzv25wddFgAAFULAAwAA\nAIR0adFQD990uV7t/Ef9YX6Mhj44U5Omr9S+vMKgSwMA4KjMa3Do6YABA3zu3Lk19noAAABAZa3a\ntlcPT12pD5ZmqmlinG4c3lmXD+mg+NjooEsDANQhZjbP3Qcc8zwCHgAAAKB8izbt0sSp6fpkVY5a\nNaynewcXa+TwsxUbQ9ADAKh+FQ14mKIFAAAAHEXfdkn6xzWD9dKPB+vUBlvU8+Of6oaHJ+utRVtU\nXMxCzACA8MAIHgAAAKCCvLhYs7/4SPfNidKKbfvUo3Uj3TWmm85KayEzC7o8AEAtxBQtAAAAoJoU\nF7ve/nqLHpm2Uhu252pA+yTdO6hYfU45QyLoAQBUIaZoAQAAANUkKso0oV9bTb99mH7/nd6K37FM\njd66Wv/71L+0JGN30OUBAOogRvAAAAAAJ+hgfqHenTZVv50brV0HCjW+TyvdPipNXVo0CLo0AECE\nY4oWAAAAUMP2HCzQs5+s098+WasDBUX67skpumVkV6U0SQi6NABAhCLgAQAAAAKyfV+enpi1Rv/4\ncoPkrtv75Om748cpuVF80KUBACIMa/AAAAAAAWnWoJ5+dW5PzbpzuH7a44DGL/+5rp/4giZOSdfu\nAwVBlwcAqIUYwQMAAABUJ3dtXj5bDyyI1TuLM9W4fqx+MqyzfnhaqurHRQddHQAgzDFFCwAAAAgz\nS7fs1sQp6ZqZnq3kBnG6d2CRRo8YpbhYgh4AwJExRQsAAAAIM73aNNbzPxqkV39yqoY33qY+n92k\n6x9+QW/M36yi4pr74BUAUPscM+Axs+fMLMvMlpQ61tTMppnZqtD3JtVbJgAAAFB7DExtqgd/+gNl\nj39GWfW76vZXFmncYx9rytJM1eQIewBA7VGRETwvSBp72LG7Jc1w966SZoSeAwAAAKggi4rSgCHD\n9fZNZ+rxH5yswmLX9f+Ypwue+Fyfrc4JujwAQISp0Bo8ZpYq6R137x16ni5puLtvNbPWkma5e9qx\n7sMaPAAAAMCRFRYV6435GZo0faW27D6gS9vt1sXnjlP/Dk2DLg0AEKCKrsETU8n7t3T3raHHmZJa\nHqWQ6yRdJ0nt27ev5MsBAAAAtVtMdJQuHthO5/drow+mT9WA2ffrur/uUtseg3Xn6DSltWoYdIkA\ngDBW2RE8u9w9qVT7Tnc/5jo8jOABAAAAKsBduZsW6m8rE/X0J+u0L79QF/Rrq9tGdlP7ZglBVwcA\nqEHVPYJnm5m1LjVFK6uS9wEAAABwODMltO+vm9pLV5yWqic/WqMXPluvtxdt0fcHpGhoo0ztapQm\nmf3/a9yVkr9Wg4cMVUwM264DQF1T2YDnLUlXSXog9P3NKqsIAAAAwDeSEuJ0z7geuvr0jvrLh6u0\n6KtPdF30o7qh4FYt89Rvzutp6/Vk7CTd8Nk9mjBurMb3bq2oKCv/xgCAWuWYU7TM7F+ShktqLmmb\npHsl/VfSK5LaS9og6WJ333GsF2OKFgAAAHBidufmK2/zIhUm9yozgmfd0tm6f45pZdZ+9WrTSHeO\nSdPwbskyI+gBgEhV0SlaFVqDp6oQ8AAAAADVq6jY9daiDD0ybaU27TigQalNddfYNA1MZTcuAIhE\nBDwAAABAHZZfWKyX527Sn2esUvbegzotcYtWquO3R/1IiouSbuhxQBPGjlGj+nEBVQsAKE91L7IM\nAAAAIIzFxUTpiiEddNHJKXp/+lQNW/ioXkr9vbbW7/rt87KWaOiCX+vHX9+pEcNH6spTU1U/jkWa\nASDSMIIHAAAAqO3cpczFUqs+ZUbwyF2rF3+h382N1qyVOWrRsJ5uPrurvj+wnWKjo4KpFwDwDaZo\nAQAAADguc9bt0ENTVuir9TvVvkl9/aznQe1v0r1MKGTuOqtJljr0HFw2MAIAVCmmaAEAAAA4LoM6\nNtUr15+qWSuz9fo772vwV78rsx27VLIl+1mxk/RQ5z/o++eeo/bNEoIpGADwDUbwAAAAACjDi4u1\nb8NCFbXoVWaUTm5eod6fMU0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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11830eb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1000, loss 0.08767686784267426\n"
     ]
    },
    {
     "data": {
      "image/png": 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GmP96b3cxxsw1xmR6P3ZuuZgA2pvy6jq9sDhHEwd018D4SKfjAAAAoJUMHzlG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\nrUyQLn2FZQbQJlDwAGi0sso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gxQ1u7fiOYAQPjktxeY2e/XqTZn+Xq1q31aUjeui28f2V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\nHkmSJEmSpBH3P69DOtL/SmewAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22a3dc9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1100, loss 0.06696484237909317\n"
     ]
    },
    {
     "data": {
      "image/png": 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AALxYYZFb982IVYCvj8ZdHSVjWJoFoHqjwAOPMqRbY7mMNI9lWgAAADgNby/e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\nlpH0P0nrrLUvHzE0V9KNJY9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      "text/plain": [
       "<matplotlib.figure.Figure at 0x12ddfb0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1200, loss 0.06568074226379395\n"
     ]
    },
    {
     "data": {
      "image/png": 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AANqIHel5kqSRfenBA6B9IuBBsxvbP1jWSltT6MUDAACAxrEjLV8Bvl6K7dHJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x24f1da6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1300, loss 0.07200673967599869\n"
     ]
    },
    {
     "data": {
      "image/png": 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BABqCzbsP6NFX31ObyFC99rNT1SIi1OtIAAAAqEUxLSM09oIL9XXGLs1O3eF1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\nowMAAKARimsVqdd/fpqKSsp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      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c60c400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1400, loss 0.0710752084851265\n"
     ]
    },
    {
     "data": {
      "image/png": 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je9l7BwAAoMOYOjhWnx6MVt7hSqejoJ01dwbPc5J+K6nhdtwx1tr8+s8LJMW0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\n5jJJMyX5S5prrX3ibO7nDQ5mbtAV26f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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a5e861d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1500, loss 0.05614272877573967\n"
     ]
    },
    {
     "data": {
      "image/png": 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BAACoV78Zn6rCYtc9by4JOkpgKPAAABADnv14lVZu3avbJ6SqWXxc0HEAAADq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\nhp7ysJ4ZMbLcDJ4m5mq/d4S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      "text/plain": [
       "<matplotlib.figure.Figure at 0x16388f4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1600, loss 0.07871516048908234\n"
     ]
    },
    {
     "data": {
      "image/png": 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OxwEcVaOCxxjTXtI4Sa8edfNESTPdn8+U9Iu6jQYAZ2bp9gP6fFO2bhnRVe3C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\njZwNHkmSJEmSpJH7F/ZG2NXXPYeoAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x162829898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1700, loss 0.06636187434196472\n"
     ]
    },
    {
     "data": {
      "image/png": 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kDTLGXCLpMUmLrLWtJC1yPwYAVEHGGPVv10ArtmfqaHisZIzTkQAAAFDVGaPP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\nmhrTIlv7g1pLptg8d2vVND9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      "text/plain": [
       "<matplotlib.figure.Figure at 0x12de10a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1800, loss 0.06535656005144119\n"
     ]
    },
    {
     "data": {
      "image/png": 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TqZEJ7fXy0gyVV7mdjgMADYaCBy1KZbVHK75fojdCn9Gw1rlOxwEAAEAj+P3Y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\nkiRJkiSNORs8kiRJkiRJY+6/6uJ5v17wBkAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1202a8f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1900, loss 0.0639897808432579\n"
     ]
    },
    {
     "data": {
      "image/png": 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Jz9dHd/RrpdzDsdpw4ITTcQAAAOBhdh/N0LbEkxoW08TpKAA8FAUeoMiIpif0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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c8dea20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "net = WaveNet(mu=64,n_residue=24,n_skip=128,dilation_depth=10,n_repeat=2)\n",
    "optimizer = optim.Adam(net.parameters(),lr=0.01)\n",
    "g = sine_generator(seq_size=2200,mu=64)\n",
    "batch_size = 64\n",
    "\n",
    "loss_save = []\n",
    "max_epoch = 2000\n",
    "for epoch in range(max_epoch):\n",
    "    optimizer.zero_grad()\n",
    "    loss = 0\n",
    "    for _ in range(batch_size):\n",
    "        batch = next(g)\n",
    "        x = batch[:-1]\n",
    "        logits = net(x)\n",
    "        sz = logits.size(0)\n",
    "        loss = loss +nn.functional.cross_entropy(logits, batch[-sz:])\n",
    "    loss = loss/batch_size\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    loss_save.append(loss.data[0])\n",
    "    # monitor progress\n",
    "    if epoch%100==0:\n",
    "        print('epoch {}, loss {}'.format(epoch, loss.data[0]))\n",
    "        batch = next(g)\n",
    "        logits = net(batch[:-1])\n",
    "        _, i = logits.max(dim=1)\n",
    "        plt.figure(figsize=[16,4])\n",
    "        plt.plot(i.data.tolist())\n",
    "        plt.plot(batch.data.tolist()[sum(net.dilations)+1:],'.',ms=1)\n",
    "        plt.title('epoch {}'.format(epoch))\n",
    "        plt.tight_layout()\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## loss function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1b1f54b70>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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06+dbOjWUK2rzgQFdsaJNv9h2UBcvaVFdKq5Llrbqsb19GskXtXJOo767bo96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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c26ed4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[10,4])\n",
    "plt.plot(loss_save)\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('loss')\n",
    "plt.title('loss function')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## data generation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1min 8s, sys: 20.9 s, total: 1min 29s\n",
      "Wall time: 24.9 s\n"
     ]
    }
   ],
   "source": [
    "%time y_gen = net.generate(batch, 4000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1ba7f9dd8>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Titd+LOmWGI8s3QFZUTG+Xzp6Z3gwICsRy3ZWY9lO+0arkBEUw8ImO4QklwOt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\nigAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b99bcb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[16,4])\n",
    "plt.plot(y_gen)\n",
    "plt.plot(batch.data.tolist(),'.',ms=2)\n",
    "plt.legend(['generation','seed'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## listen to generated sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%time y_gen = net.generate(batch, 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y = np.array(y_gen)\n",
    "y = decode_mu_law(y, 64)\n",
    "Audio(y, rate=44100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda env:tensorflow]",
   "language": "python",
   "name": "conda-env-tensorflow-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}