{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# VAE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "os.environ['CUDA_VISIBLE_DEVICES']='1'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import timm, torch, random, datasets, math, fastcore.all as fc, numpy as np, matplotlib as mpl, matplotlib.pyplot as plt\n",
    "import k_diffusion as K, torchvision.transforms as T\n",
    "import torchvision.transforms.functional as TF,torch.nn.functional as F\n",
    "\n",
    "from torch.utils.data import DataLoader,default_collate\n",
    "from pathlib import Path\n",
    "from torch.nn import init\n",
    "from fastcore.foundation import L\n",
    "from torch import nn,tensor\n",
    "from datasets import load_dataset\n",
    "from operator import itemgetter\n",
    "from torcheval.metrics import MulticlassAccuracy,Mean,Metric\n",
    "from functools import partial\n",
    "from torch.optim import lr_scheduler\n",
    "from torch import optim\n",
    "from einops import rearrange\n",
    "\n",
    "from miniai.datasets import *\n",
    "from miniai.conv import *\n",
    "from miniai.learner import *\n",
    "from miniai.activations import *\n",
    "from miniai.training import *\n",
    "from miniai.init import *\n",
    "from miniai.sgd import *\n",
    "from miniai.resnet import *\n",
    "from miniai.augment import *\n",
    "from miniai.accel import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "torch.set_printoptions(precision=4, linewidth=140, sci_mode=False)\n",
    "torch.manual_seed(1)\n",
    "mpl.rcParams['image.cmap'] = 'gray_r'\n",
    "mpl.rcParams['figure.dpi'] = 70\n",
    "\n",
    "import logging\n",
    "logging.disable(logging.WARNING)\n",
    "\n",
    "set_seed(42)\n",
    "if fc.defaults.cpus>8: fc.defaults.cpus=8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1eebd095d38a43b98a289120859d12dd",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/2 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xl,yl = 'image','label'\n",
    "name = \"fashion_mnist\"\n",
    "bs = 256\n",
    "dsd = load_dataset(name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "@inplace\n",
    "def transformi(b):\n",
    "    img = [TF.to_tensor(o).flatten() for o in b[xl]]\n",
    "    b[yl] = b[xl] = img\n",
    "\n",
    "tds = dsd.with_transform(transformi)\n",
    "dls = DataLoaders.from_dd(tds, bs, num_workers=8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "dl = dls.valid\n",
    "xb,yb = b = next(iter(dl))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Autoencoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "ni,nh,nl = 784,400,200"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def lin(ni, nf, act=nn.SiLU, norm=nn.BatchNorm1d, bias=True):\n",
    "    layers = nn.Sequential(nn.Linear(ni, nf, bias=bias))\n",
    "    if act : layers.append(act())\n",
    "    if norm: layers.append(norm(nf))\n",
    "    return layers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def init_weights(m, leaky=0.):\n",
    "    if isinstance(m, (nn.Conv1d,nn.Conv2d,nn.Conv3d,nn.Linear)): init.kaiming_normal_(m.weight, a=leaky)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "iw = partial(init_weights, leaky=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Autoenc(nn.Module):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "        self.enc = nn.Sequential(lin(ni, nh), lin(nh, nh), lin(nh, nl))\n",
    "        self.dec = nn.Sequential(lin(nl, nh), lin(nh, nh), lin(nh, ni, act=None))\n",
    "        iw(self)\n",
    "        \n",
    "    def forward(self, x):\n",
    "        x = self.enc(x)\n",
    "        return self.dec(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "opt_func = partial(optim.Adam, eps=1e-5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 448x336 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Learner(Autoenc(), dls, nn.BCEWithLogitsLoss(), cbs=[DeviceCB(), MixedPrecision()], opt_func=opt_func).lr_find()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "lr = 3e-2\n",
    "epochs = 20\n",
    "tmax = epochs * len(dls.train)\n",
    "sched = partial(lr_scheduler.OneCycleLR, max_lr=lr, total_steps=tmax)\n",
    "cbs = [DeviceCB(), ProgressCB(plot=True), MetricsCB(), BatchSchedCB(sched), MixedPrecision()]\n",
    "model = Autoenc()\n",
    "learn = Learner(model, dls, nn.BCEWithLogitsLoss(), lr=lr, cbs=cbs, opt_func=opt_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "    /* Turns off some styling */\n",
       "    progress {\n",
       "        /* gets rid of default border in Firefox and Opera. */\n",
       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "        background: #F44336;\n",
       "    }\n",
       "</style>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: left;\">\n",
       "      <th>loss</th>\n",
       "      <th>epoch</th>\n",
       "      <th>train</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0.528</td>\n",
       "      <td>0</td>\n",
       "      <td>train</td>\n",
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       "      <td>eval</td>\n",
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       "      <td>train</td>\n",
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       "      <td>eval</td>\n",
       "    </tr>\n",
       "    <tr>\n",
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       "      <td>train</td>\n",
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       "      <td>eval</td>\n",
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       "      <td>3</td>\n",
       "      <td>train</td>\n",
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       "    <tr>\n",
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       "      <td>3</td>\n",
       "      <td>eval</td>\n",
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       "    <tr>\n",
       "      <td>0.276</td>\n",
       "      <td>4</td>\n",
       "      <td>train</td>\n",
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       "      <td>4</td>\n",
       "      <td>eval</td>\n",
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       "      <td>5</td>\n",
       "      <td>train</td>\n",
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       "      <td>6</td>\n",
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       "      <td>7</td>\n",
       "      <td>eval</td>\n",
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       "    <tr>\n",
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       "      <td>8</td>\n",
       "      <td>train</td>\n",
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       "      <td>8</td>\n",
       "      <td>eval</td>\n",
       "    </tr>\n",
       "    <tr>\n",
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       "      <td>9</td>\n",
       "      <td>train</td>\n",
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       "    <tr>\n",
       "      <td>0.266</td>\n",
       "      <td>9</td>\n",
       "      <td>eval</td>\n",
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       "    <tr>\n",
       "      <td>0.263</td>\n",
       "      <td>10</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.264</td>\n",
       "      <td>10</td>\n",
       "      <td>eval</td>\n",
       "    </tr>\n",
       "    <tr>\n",
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       "      <td>train</td>\n",
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       "    <tr>\n",
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       "      <td>11</td>\n",
       "      <td>eval</td>\n",
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       "    <tr>\n",
       "      <td>0.262</td>\n",
       "      <td>12</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.263</td>\n",
       "      <td>12</td>\n",
       "      <td>eval</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.261</td>\n",
       "      <td>13</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.262</td>\n",
       "      <td>13</td>\n",
       "      <td>eval</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.261</td>\n",
       "      <td>14</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.261</td>\n",
       "      <td>14</td>\n",
       "      <td>eval</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.260</td>\n",
       "      <td>15</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.261</td>\n",
       "      <td>15</td>\n",
       "      <td>eval</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.260</td>\n",
       "      <td>16</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.261</td>\n",
       "      <td>16</td>\n",
       "      <td>eval</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.260</td>\n",
       "      <td>17</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.261</td>\n",
       "      <td>17</td>\n",
       "      <td>eval</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.259</td>\n",
       "      <td>18</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.260</td>\n",
       "      <td>18</td>\n",
       "      <td>eval</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.259</td>\n",
       "      <td>19</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>0.260</td>\n",
       "      <td>19</td>\n",
       "      <td>eval</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 420x280 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "learn.fit(epochs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Autoencoder Sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "with torch.no_grad(): t = to_cpu(model(xb.cuda()).float())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 315x315 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_images(xb[:9].reshape(-1,1,28,28), imsize=1.5, title='Original');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 315x315 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_images(t[:9].reshape(-1,1,28,28).sigmoid(), imsize=1.5, title='Autoenc');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "noise = torch.randn(16, nl).cuda()\n",
    "with torch.no_grad(): generated_images = model.dec(noise).sigmoid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 420x420 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_images(generated_images.reshape(-1, 1, 28, 28), imsize=1.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## VAE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# sd vae is 3 down, 1 no-down, mid, conv, sampling, conv, mid, 3 up, 1 no-up"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "class VAE(nn.Module):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "        self.enc = nn.Sequential(lin(ni, nh), lin(nh, nh))\n",
    "        self.mu,self.lv = lin(nh, nl, act=None),lin(nh, nl, act=None)\n",
    "        self.dec = nn.Sequential(lin(nl, nh), lin(nh, nh), lin(nh, ni, act=None))\n",
    "        iw(self)\n",
    "        \n",
    "    def forward(self, x):\n",
    "        x = self.enc(x)\n",
    "        mu,lv = self.mu(x),self.lv(x)\n",
    "        z = mu + (0.5*lv).exp()*torch.randn_like(lv)\n",
    "        return self.dec(z),mu,lv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def kld_loss(inp, x):\n",
    "    x_hat,mu,lv = inp\n",
    "    return -0.5 * (1 + lv - mu.pow(2) - lv.exp()).mean()\n",
    "\n",
    "def bce_loss(inp, x): return F.binary_cross_entropy_with_logits(inp[0], x)\n",
    "\n",
    "def vae_loss(inp, x): return kld_loss(inp, x) + bce_loss(inp,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = torch.linspace(-3,3,100)\n",
    "plt.figure(figsize=(4,3))\n",
    "plt.plot(x, -0.5*(1+x-x.exp()));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Question**: What would happen if the variance of the latents were very low? What if they were very high?\n",
    "\n",
    "**Bing**: If the variance of the latents were very low, then the encoder distribution would be very peaked and concentrated around the mean. This would make the latent space less diverse and expressive, and limit the ability of the decoder to reconstruct the data accurately. It would also make it harder to generate new data that are different from the training data.\n",
    "\n",
    "If the variance of the latents were very high, then the encoder distribution would be very spread out and diffuse. This would make the latent space more noisy and random, and reduce the correlation between the latent codes and the data. It would also make it easier to generate new data that are unrealistic or nonsensical."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "class FuncMetric(Mean):\n",
    "    def __init__(self, fn, device=None):\n",
    "        super().__init__(device=device)\n",
    "        self.fn = fn\n",
    "\n",
    "    def update(self, inp, targets): \n",
    "        self.weighted_sum += self.fn(inp, targets)\n",
    "        self.weights += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "metrics = MetricsCB(kld=FuncMetric(kld_loss), bce=FuncMetric(bce_loss))\n",
    "opt_func = partial(optim.Adam, eps=1e-5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "lr = 3e-2\n",
    "epochs = 20\n",
    "tmax = epochs * len(dls.train)\n",
    "sched = partial(lr_scheduler.OneCycleLR, max_lr=lr, total_steps=tmax)\n",
    "cbs = [DeviceCB(), ProgressCB(plot=True), metrics, BatchSchedCB(sched), MixedPrecision()]\n",
    "model = VAE()\n",
    "learn = Learner(model, dls, vae_loss, lr=lr, cbs=cbs, opt_func=opt_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "    /* Turns off some styling */\n",
       "    progress {\n",
       "        /* gets rid of default border in Firefox and Opera. */\n",
       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
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     "data": {
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       "    <tr style=\"text-align: left;\">\n",
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       "      <th>loss</th>\n",
       "      <th>epoch</th>\n",
       "      <th>train</th>\n",
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       "      <td>0.317</td>\n",
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       "      <td>0.316</td>\n",
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       "      <td>0.312</td>\n",
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       "      <td>0.311</td>\n",
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       "      <td>16</td>\n",
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       "    <tr>\n",
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",
      "text/plain": [
       "<Figure size 420x280 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "learn.fit(epochs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## VAE Sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "with torch.no_grad(): t,mu,lv = to_cpu(model(xb.cuda()))\n",
    "t = t.float()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 315x315 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_images(xb[:9].reshape(-1,1,28,28), imsize=1.5, title='Original');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 315x315 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_images(t[:9].reshape(-1,1,28,28).sigmoid(), imsize=1.5, title='VAE');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "noise = torch.randn(16, nl).cuda()\n",
    "with torch.no_grad(): ims = model.dec(noise).sigmoid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 420x420 with 16 Axes>"
      ]
     },
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