Skip to content

Instantly share code, notes, and snippets.

@hushell
Last active August 18, 2018 13:17
Show Gist options
  • Save hushell/305bd79c4143b6e68a1ee54431da26d5 to your computer and use it in GitHub Desktop.
Save hushell/305bd79c4143b6e68a1ee54431da26d5 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import torch\n",
"#from models import round_piecewise, round_smooth\n",
"import matplotlib.pylab as plt\n",
"import matplotlib.cm as cm\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.6/site-packages/ipykernel/__main__.py:4: DeprecationWarning: object of type <class 'float'> cannot be safely interpreted as an integer.\n"
]
}
],
"source": [
"delta = 0.1\n",
"lower = -1.0\n",
"upper = 1.0\n",
"x = np.around(np.linspace(lower, upper, (upper-lower) / (delta/2) * 100 + 1), decimals=4)\n",
"t_x = torch.tensor(x).float()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Smooth soft quantization"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def round_smooth(x, delta, h):\n",
" return torch.tanh( (x - delta/2.0 - delta*torch.floor(x/delta)) * 2.0/delta*h ) \\\n",
" / (np.tanh(h) * 2.0/delta) \\\n",
" + delta/2.0 + delta*torch.floor(x/delta)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x11e743be0>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hs = [0.5, 2, 5, 10, 20]\n",
"colors = iter(cm.rainbow(np.linspace(0, 1, len(hs))))\n",
"plt.figure(figsize=(10,10))\n",
"for h in hs:\n",
" plt.plot(x, round_smooth(t_x, delta, h).numpy(), '-', color=next(colors))\n",
"plt.plot(x, x, 'k:')\n",
"plt.plot(x, np.floor(x/delta+0.5)*delta, 'k:')\n",
"plt.xlim(-0.15, 0.15)\n",
"plt.ylim(-0.15, 0.15)\n",
"plt.legend(['h=%.1f' % h for h in hs] + ['y=x', 'y=round(x)'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Piecewise-linear soft quantization"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def round_piecewise(x, delta, s):\n",
" slope = delta / (2*s) - 1 # 2 possible slopes: slope, 1/slope\n",
" q_x = delta * torch.floor(x / delta + 0.5) # round(x)\n",
" left = q_x - delta/2\n",
" right = q_x + delta/2\n",
" y_left = slope * (x - left) + left\n",
" y_right = slope * (x - right) + right\n",
" y_mid = (1/slope) * (x - q_x) + q_x\n",
" I_ge = torch.ge(x, q_x).float().detach()\n",
" return I_ge * torch.max(y_right, y_mid) + (1 - I_ge) * torch.min(y_left, y_mid)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.6/site-packages/ipykernel/__main__.py:6: DeprecationWarning: object of type <class 'float'> cannot be safely interpreted as an integer.\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x11eb75668>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hs = [4, 8, 16, 32, 64]\n",
"colors = iter(cm.rainbow(np.linspace(0, 1, len(hs))))\n",
"plt.figure(figsize=(10,10))\n",
"for h in hs:\n",
" s = delta/h\n",
" x = [(i, max(i-s, lower), min(i+s, upper)) for i in np.linspace(lower, upper, (upper-lower) / (delta/2) + 1)]\n",
" x = np.unique(x)\n",
" t_x = torch.tensor(x).float()\n",
" plt.plot(x, round_piecewise(t_x, delta, s).numpy(), '-', color=next(colors))\n",
"plt.plot(x, x, 'k:')\n",
"plt.plot(x, np.floor(x/delta+0.5)*delta, 'k:')\n",
"plt.xlim(-0.15, 0.15)\n",
"plt.ylim(-0.15, 0.15)\n",
"plt.legend(['s=delta/%d' % h for h in hs] + ['y=x', 'y=round(x)'])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.6/site-packages/ipykernel/__main__.py:6: DeprecationWarning: object of type <class 'float'> cannot be safely interpreted as an integer.\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x11e9c6208>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hs = [4, 16, 64]\n",
"colors = iter(cm.rainbow(np.linspace(0, 1, len(hs))))\n",
"plt.figure(figsize=(10,10))\n",
"for h in hs:\n",
" s = delta/h\n",
" x = [(i, max(i-s, lower), min(i+s, upper)) for i in np.linspace(lower, upper, (upper-lower) / (delta/2) + 1)]\n",
" x = np.unique(x)\n",
" t_x = torch.tensor(x, requires_grad=True).float()\n",
" y = round_piecewise(t_x, delta, s)\n",
" plt.plot(x, y.numpy(), '-', color=next(colors))\n",
"\n",
"plt.xlim(-0.15, 0.15)\n",
"plt.ylim(-0.15, 0.15)\n",
"plt.legend(['s=delta/%d' % h for h in hs])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Check gradient"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tensor(0.1429) 7.0 0.14285714285714285\n"
]
}
],
"source": [
"x = -0.05 + s + 0.000\n",
"s = delta / 16\n",
"t_x = torch.tensor(x, requires_grad=True).float()\n",
"y = round_piecewise(t_x, delta, s)\n",
"y.backward()\n",
"slope = delta / (2*s) - 1\n",
"print(t_x.grad, slope, 1/slope)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tensor(7.) 7.0 0.14285714285714285\n"
]
}
],
"source": [
"x = -0.05 + s - 0.001\n",
"s = delta / 16\n",
"t_x = torch.tensor(x, requires_grad=True).float()\n",
"y = round_piecewise(t_x, delta, s)\n",
"y.backward()\n",
"slope = delta / (2*s) - 1\n",
"print(t_x.grad, slope, 1/slope)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tensor(0.1429) 7.0 0.14285714285714285\n"
]
}
],
"source": [
"x = -0.05 + s + 0.001\n",
"s = delta / 16\n",
"t_x = torch.tensor(x, requires_grad=True).float()\n",
"y = round_piecewise(t_x, delta, s)\n",
"y.backward()\n",
"slope = delta / (2*s) - 1\n",
"print(t_x.grad, slope, 1/slope)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda env:anaconda3]",
"language": "python",
"name": "conda-env-anaconda3-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": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment