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@se4u
Last active November 6, 2018 21:29
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Some experiments to understand the performance of Adam algorithm on sparse inputs such as spike trains
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{
"cells": [
{
"cell_type": "code",
"execution_count": 86,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"DescribeResult(nobs=5000, minmax=(1.8076171161874592e-05, 0.2523168183337763), mean=0.02648352138842455, variance=0.0026487141694447945, skewness=2.4643873500707842, kurtosis=5.546012805879547)\n",
"DescribeResult(nobs=5000, minmax=(3.5133229571807556e-06, 0.07161867517387814), mean=0.0072553762710337024, variance=0.00020840491464525377, skewness=2.5265679976151048, kurtosis=5.892877367644269)\n",
"DescribeResult(nobs=5000, minmax=(4.2581904877820027e-07, 0.009619181125164569), mean=0.000963530722521483, variance=3.7297773066945487e-06, skewness=2.5469664342195926, kurtosis=6.009185816891433)\n"
]
},
{
"data": {
"text/plain": [
"array([0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
" 4.34454656e-07, 4.30115181e-07, 4.25819049e-07])"
]
},
"execution_count": 86,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1800x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1800x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1800x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"T = 10000\n",
"\n",
"def main(b1=0.9, b2=0.999, n = 100, eps = 1e-8):\n",
" def g(t):\n",
" return 1 if t % n == 0 else 0\n",
" m = np.empty(T)\n",
" v = np.empty(T)\n",
" m[0] = 0\n",
" v[0] = 0\n",
" for t in range(1,T):\n",
" m[t] = m[t-1] * b1 + g(t) * (1-b1)\n",
" v[t] = v[t-1] * b2 + (g(t)**2) * (1-b2)\n",
" x = (m) / (np.sqrt(v) + eps) \n",
" plt.figure(figsize=(25, 6))\n",
" plt.subplot(211)\n",
" plt.plot(x)\n",
" plt.subplot(212)\n",
" plt.plot(np.sqrt(v) + eps, color='r')\n",
" plt.plot(m, color='b')\n",
" plt.title(f'b1, b2, n, eps = {b1}, {b2}, {n}, {eps}')\n",
" print(scipy.stats.describe(x[T//2:]))\n",
" return x\n",
"\n",
"#main(0.9, 0.999, 10)\n",
"#main(0.9, 0.999, 100)\n",
"#main(0.9, 0.999, 1000)\n",
"#main(0.99, 0.999, 10)\n",
"#main(0.99, 0.999, 100)\n",
"main(0.99, 0.999, 1000)\n",
"\n",
"#main(0.9, 0.999, 10, .1)\n",
"#main(0.9, 0.999, 100, .1)\n",
"#main(0.9, 0.999, 1000, .1)\n",
"#main(0.99, 0.999, 10, .1)\n",
"#main(0.99, 0.999, 100, .1)\n",
"main(0.99, 0.999, 1000, .1)\n",
"\n",
"#main(0.9, 0.999, 10, 1)\n",
"#main(0.9, 0.999, 100, 1)\n",
"#main(0.9, 0.999, 1000, 1)\n",
"#main(0.99, 0.999, 10, 1)\n",
"#main(0.99, 0.999, 100, 1)\n",
"main(0.99, 0.999, 1000, 1)"
]
}
],
"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": "3.6.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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