Created
June 25, 2017 20:55
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Exploration Functions
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def sched_kirkpatrick_cooling(e_max, e_min, cooling_alpha, size=1e10, endless=False):\n", | |
" \n", | |
" # init\n", | |
" e = e_max\n", | |
" for t in xrange(size):\n", | |
" \n", | |
" yield e\n", | |
" new_e = e * cooling_alpha\n", | |
" e = new_e if new_e > e_min else e_min\n", | |
" \n", | |
" if endless:\n", | |
" while True:\n", | |
" yield e\n", | |
" \n", | |
" \n", | |
"def sched_exp_decay(e_max, e_min, lam, size=1e10, endless=False):\n", | |
" \n", | |
" # init\n", | |
" e = e_max\n", | |
" for t in xrange(size):\n", | |
" \n", | |
" e = e_min + (e_max-e_min) * np.exp(-lam * t)\n", | |
" yield e\n", | |
" \n", | |
" if endless:\n", | |
" while True:\n", | |
" yield e\n", | |
" \n", | |
" \n", | |
"def sched_half_life(e_max, e_min, half_life, size=1e10, endless=False):\n", | |
" return sched_exp_decay(e_max=e_max, e_min=e_min, lam=np.log(2)/half_life, size=size, endless=endless)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x10f335590>" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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Pnz59OsnJySQlJeHv709KSkrRd5mZmQwePJjBgwef8ebOoUOHGDp0KCtXriQyMrLouqef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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10f272f10>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"start, stop = 1.0, 0.01\n", | |
"size = 20\n", | |
"\n", | |
"plt.figure(figsize=(20,8))\n", | |
"plt.grid(True)\n", | |
"plt.plot(list(sched_exp_decay(start, stop, lam=0.1, size=size)), c='r', label=\"exponential decay\")\n", | |
"plt.plot(list(sched_kirkpatrick_cooling(start, stop, cooling_alpha=0.1, size=size)), c='g', label=\"kirkpatrick cooling\")\n", | |
"plt.plot(list(sched_half_life(start, stop, half_life=1, size=size)), c='y', label=\"half-life decay\")\n", | |
"plt.xticks(range(size))\n", | |
"plt.legend()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "python2-oms_rl", | |
"language": "python", | |
"name": "python2" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 2 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython2", | |
"version": "2.7.3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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