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@shreevari
Last active July 10, 2019 16:10
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Relation between biasing scale and encoded file size.

Biasing RDO using scale s_1

biased_distortion = actual_distortion * (s_1 * (mean_activity as f64 / activity as f64) + s_0)

Sets encoded : subset3-y4m and objective-1-fast.

Interpolated scale is to be used as a starting point for Newton-Raphson method to derive the biasing scale as follows:

s' = s - (MSE/f'(s))
where f : s -> file_size

Mean Squared Error

MSE = (Sum(biased_encode - unbiased_encode) ^ 2) / n

Mean Squared Relative error

MSRE = (Sum((biased_encode - unbiased_encode) / unbiased_encode) ^ 2) / n

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Scale versus Mean Squared Error and Scale versus Mean Squared Relative Error"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"mse_start = 0\n",
"mse_end = 11\n",
"msre_start = 0\n",
"msre_end = 11\n",
"\n",
"#s_1 values used to bias the distortion\n",
"s = np.array([0.1, 0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 1.75, 2.0])"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"obj_220_mse = np.array([3.70129e+09, 3.45926e+09, 2.45841e+09, 1.49569e+09, 9.55876e+08, 6.43019e+08, 7.40099e+08, 1.04249e+09, 1.39687e+09, 1.81641e+09, 2.27328e+09,])\n",
"obj_220_msre = np.array([0.208712, 0.202188, 0.19718, 0.21441, 0.256589, 0.375097, 0.511416, 0.683332, 0.833996, 0.999439, 1.16861,])\n",
"obj_220_predicted = 0.57136\n",
"\n",
"obj_172_mse = np.array([7.26635e+10, 6.60629e+10, 3.96001e+10, 2.66799e+10, 1.9163e+10, 1.1405e+10, 7.84642e+09, 6.07724e+09, 5.41733e+09, 5.46378e+09, 5.96449e+09,])\n",
"obj_172_msre = np.array([0.417567, 0.390254, 0.294519, 0.242229, 0.213225, 0.186596, 0.182238, 0.187203, 0.197839, 0.21171, 0.226632, ])\n",
"obj_172_predicted = 2.0\n",
"\n",
"obj_128_mse = np.array([4.36699e+11, 3.8498e+11, 227323085565, 1.5029e+11, 1.03836e+11, 5.18243e+10, 3.04582e+10, 2.2573e+10, 2.11577e+10, 2.41172e+10, 2.96304e+10,])\n",
"obj_128_msre = np.array([0.369178, 0.339105, 0.254215, 0.218348, 0.199808, 0.192103, 0.207844, 0.23324, 0.269822, 0.307644, 0.349149, ])\n",
"obj_128_predicted = 1.18747\n",
"\n",
"obj_80_mse = np.array([3.05469e+12, 2.7238e+12, 1.78322e+12, 1.16398e+12, 7.70366e+11, 3.57231e+11, 1.92278e+11, 1.38712e+11, 1.46263e+11, 186798022732, 2.46755e+11,])\n",
"obj_80_msre = np.array([0.392392, 0.372848, 0.325341, 0.305169, 0.301719, 0.310487, 0.338114, 0.369075, 0.394421, 0.428148, 0.462972, ])\n",
"obj_80_predicted = 0.83074"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"obj_220_msre = obj_220_msre ** 2\n",
"obj_172_msre = obj_172_msre ** 2\n",
"obj_128_msre = obj_128_msre ** 2\n",
"obj_80_msre = obj_80_msre ** 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* * *\n",
"### Quantizer : 220"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.xlabel('scale')\n",
"plt.ylabel('MSE')\n",
"plt.title('objective-1-fast')\n",
"plt.grid(True)\n",
"plt.plot(s[mse_start:mse_end], obj_220_mse[mse_start:mse_end], marker=\"o\")\n",
"plt.axhline(y=0.05, color='r', linestyle='--')\n",
"plt.axvline(x=obj_220_predicted, color='r', linestyle='--')\n",
"plt.show()\n",
"\n",
"plt.xlabel('scale')\n",
"plt.ylabel('MSRE')\n",
"plt.title('objective-1-fast')\n",
"plt.grid(True)\n",
"plt.plot(s[msre_start:msre_end], obj_220_msre[msre_start:msre_end], marker=\"o\")\n",
"plt.axhline(y=0.05, color='r', linestyle='--')\n",
"plt.axvline(x=obj_220_predicted, color='r', linestyle='--')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* * *\n",
"### Quantizer : 172"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.xlabel('scale')\n",
"plt.ylabel('MSE')\n",
"plt.title('objective-1-fast')\n",
"plt.grid(True)\n",
"plt.plot(s[mse_start:mse_end], obj_172_mse[mse_start:mse_end], marker=\"o\")\n",
"plt.axhline(y=0.05, color='r', linestyle='--')\n",
"plt.axvline(x=obj_172_predicted, color='r', linestyle='--')\n",
"plt.show()\n",
"\n",
"plt.xlabel('scale')\n",
"plt.ylabel('MSRE')\n",
"plt.title('objective-1-fast')\n",
"plt.grid(True)\n",
"plt.plot(s[msre_start:msre_end], obj_172_msre[msre_start:msre_end], marker=\"o\")\n",
"plt.axhline(y=0.05, color='r', linestyle='--')\n",
"plt.axvline(x=obj_172_predicted, color='r', linestyle='--')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* * *\n",
"### Quantizer : 128"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.xlabel('scale')\n",
"plt.ylabel('MSE')\n",
"plt.title('objective-1-fast')\n",
"plt.grid(True)\n",
"plt.plot(s[mse_start:mse_end], obj_128_mse[mse_start:mse_end], marker=\"o\")\n",
"plt.axhline(y=0.05, color='r', linestyle='--')\n",
"plt.axvline(x=obj_128_predicted, color='r', linestyle='--')\n",
"plt.show()\n",
"\n",
"plt.xlabel('scale')\n",
"plt.ylabel('MSRE')\n",
"plt.title('objective-1-fast')\n",
"plt.grid(True)\n",
"plt.plot(s[msre_start:msre_end], obj_128_msre[msre_start:msre_end], marker=\"o\")\n",
"plt.axhline(y=0.05, color='r', linestyle='--')\n",
"plt.axvline(x=obj_128_predicted, color='r', linestyle='--')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* * *\n",
"### Quantizer : 80"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.xlabel('scale')\n",
"plt.ylabel('MSE')\n",
"plt.title('objective-1-fast')\n",
"plt.grid(True)\n",
"plt.plot(s[mse_start:mse_end], obj_80_mse[mse_start:mse_end], marker=\"o\")\n",
"plt.axhline(y=0.05, color='r', linestyle='--')\n",
"plt.axvline(x=obj_80_predicted, color='r', linestyle='--')\n",
"plt.show()\n",
"\n",
"plt.xlabel('scale')\n",
"plt.ylabel('MSRE')\n",
"plt.title('objective-1-fast')\n",
"plt.grid(True)\n",
"plt.plot(s[msre_start:msre_end], obj_80_msre[msre_start:msre_end], marker=\"o\")\n",
"plt.axhline(y=0.05, color='r', linestyle='--')\n",
"plt.axvline(x=obj_80_predicted, color='r', linestyle='--')\n",
"plt.show()"
]
}
],
"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": "3.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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