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@xiangze
Last active August 30, 2015 18:22
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{
"metadata": {
"name": "",
"signature": "sha256:06455338277c188a9c93bfd3c564d32a7003ec7c17f445386c6212455daf8161"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import theano\n",
"import theano.tensor as T\n",
"%pylab inline\n",
"import time"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rng = np.random\n",
"N = 4\n",
"dt= theano.shared(0.01, name=\"dt\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rn=lambda a:rng.randn(N)*0.0001+a\n",
"x = theano.shared(rn(0.1), name=\"x\")\n",
"y = theano.shared(rn(0.1), name=\"y\")\n",
"z = theano.shared(rn(0.), name=\"z\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Rossler\u65b9\u7a0b\u5f0f"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#rossler \n",
"a=T.dscalar(\"a\")\n",
"b=T.dscalar(\"b\")\n",
"c=T.dscalar(\"c\")\n",
"\n",
"rossler_param=[a,b,c]\n",
"\n",
"xn=x+dt*(-y-z)\n",
"yn=y+dt*(x+a*y)\n",
"zn=z+dt*(b+z*(x-c))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rossler = theano.function(\n",
" inputs=rossler_param,\n",
" outputs=[xn],\n",
" updates={x:xn,y:yn,z:zn},\n",
" on_unused_input='warn'\n",
" )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"-c:5: UserWarning: The parameter 'updates' of theano.function() expects an OrderedDict, got <type 'dict'>. Using a standard dictionary here results in non-deterministic behavior. You should use an OrderedDict if you are using Python 2.7 (theano.compat.python2x.OrderedDict for older python), or use a list of (shared, update) pairs. Do not just convert your dictionary to this type before the call as the conversion will still be non-deterministic.\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tn=20000"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"for\u6587\u3067\u5b9f\u884c\u3057\u305f\u5834\u5408"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tp=np.array([0]*N)\n",
"t0=time.clock()\n",
"for i in xrange(tn):\n",
" tp=np.vstack((tp,rossler(0.1,0.1,14.)))\n",
"print time.clock()-t0"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"1.61605205877\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"scan(loop\u69cb\u6587)\u3067\u306e\u5b9f\u884c"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x=T.dvector(\"X\")\n",
"y=T.dvector(\"Y\")\n",
"z=T.dvector(\"Z\")\n",
"\n",
"n=T.iscalar(\"n\")\n",
"\n",
"def rossler(x,y,z,a,b,c):\n",
" xn=x+dt*(-y-z)\n",
" yn=y+dt*(x+a*y)\n",
" zn=z+dt*(b+z*(x-c))\n",
" return [xn,yn,zn]\n",
"\n",
"ros_result, ros_updates = theano.scan(fn=lambda x,y,z,aa,bb,cc:rossler(x,y,z,a,b,c),\n",
" sequences=None,\n",
" outputs_info=[x,y,z],\n",
" non_sequences=[a,b,c],\n",
" n_steps=n)\n",
"\n",
"rosslers= theano.function(inputs=[x,y,z,a,b,c,n], outputs=ros_result, updates=ros_updates)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"C:\\Python27\\lib\\site-packages\\theano\\scan_module\\scan_perform_ext.py:85: RuntimeWarning: numpy.ndarray size changed, may indicate binary incompatibility\n",
" from scan_perform.scan_perform import *\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"an=rn(0.1)\n",
"t0=time.clock()\n",
"res=rosslers(an,an,an,0.1,0.1,14.,tn)\n",
"print time.clock()-t0"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.144549848153\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"for\u6587\u3068\u6bd4\u3079\u3066\u5727\u5012\u7684\u306b\u901f\u3044"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#CPU\n",
"an=rn(0.1)\n",
"t0=time.clock()\n",
"res=rosslers(an,an,an,0.1,0.1,14.,tn)\n",
"print time.clock()-t0"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.152729158485\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#len(res)\n",
"an\n",
"#len(res[0])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 153,
"text": [
"array([ 0.09995907, 0.10008567, 0.10000477, 0.09998015])"
]
}
],
"prompt_number": 153
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u6700\u5f8c\u306e\u5024\u3060\u3051\u6b8b\u305b\u3070\u826f\u3044\u66f8\u304d\u65b9"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"values, updates = theano.scan(lambda a,b,c:{x:xn,y:yn,z:zn},\n",
" non_sequences=[a,b,c],\n",
" n_steps=n)\n",
"rosslers = theano.function([a,b,c,n], values, updates=updates, allow_input_downcast=True)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 141
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tp=np.array([0]*N)\n",
"t0=time.clock()\n",
"res=rosslers(0.1,0.1,14.,tn)\n",
"print time.clock()-t0"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.000347134076947\n"
]
}
],
"prompt_number": 142
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"\u7d50\u679c\u306eplot"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cn=tp.T\n",
"for cc in cn:\n",
" plt.plot(cc[1:])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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1w8lykQ2n9Slh/AaInGQS7QC+4DHD533PG7nvyhYy+0ewDTL4Ef74Yp+A7wf+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\n",
"text": [
"<matplotlib.figure.Figure at 0x14d15d90>"
]
}
],
"prompt_number": 260
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for cc in cn:\n",
" plt.plot(cc[:10000])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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aM6eQchZH3CqUZPAaQbvR5HXn7gGgaVg4hvEKv3E0WjvtA2WbMEx+FiGDQAgq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\nAgICAgICAgICAgICAgICXq78f1NwLgI2Uy6yAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x15d2fbf0>"
]
}
],
"prompt_number": 264
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u5fae\u5999\u306e\u521d\u671f\u5024\u306e\u9055\u3044\u304c\u5897\u5e45\u3055\u308c\u3066\u3044\u308b\u3002\u30ab\u30aa\u30b9\u7684\u632f\u308b\u821e\u3044"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rossler_param=T.dvector(\"param\")\n",
"dt= theano.shared(0.01, name=\"dt\")\n",
"\n",
"x=T.dvector(\"X\")\n",
"y=T.dvector(\"Y\")\n",
"z=T.dvector(\"Z\")\n",
"\n",
"n=T.iscalar(\"n\")\n",
"\n",
"def dx(xx):\n",
" return -xx[1]-xx[2]\n",
"\n",
"def rossler(x,y,z,p):\n",
" a=p[0]\n",
" b=p[1]\n",
" c=p[2]\n",
" xx=[x,y,z]\n",
"# xn=x+dt*(-y-z)\n",
" xn=x+dt*dx(xx)\n",
" yn=y+dt*(x+a*y)\n",
" zn=z+dt*(b+z*(x-c))\n",
" return [xn,yn,zn]\n",
"\n",
"ros_result, ros_updates = theano.scan(rossler,\n",
" sequences=None,\n",
" outputs_info=[x,y,z],\n",
" non_sequences=[rossler_param],\n",
" n_steps=n)\n",
"\n",
"rosslers= theano.function(inputs=[x,y,z,rossler_param,n],\n",
" outputs=ros_result, \n",
" updates=ros_updates)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"C:\\Python27\\lib\\site-packages\\theano\\scan_module\\scan_perform_ext.py:85: RuntimeWarning: numpy.ndarray size changed, may indicate binary incompatibility\n",
" from scan_perform.scan_perform import *\n"
]
}
],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"an=rn(0.1)\n",
"t0=time.clock()\n",
"res=rosslers(an,an,an,[0.1,0.1,14.],tn)\n",
"print time.clock()-t0"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.149190887714\n"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cn=res.T\n",
"for cc in cn:\n",
" plt.plot(cc[1:])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "AttributeError",
"evalue": "'list' object has no attribute 'T'",
"output_type": "pyerr",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mAttributeError\u001b[0m Traceback (most recent call last)",
"\u001b[1;32m<ipython-input-25-a1334f50f276>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mcn\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mres\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mT\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 2\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mcc\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mcn\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 3\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mcc\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;31mAttributeError\u001b[0m: 'list' object has no attribute 'T'"
]
}
],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"res[0][0][0]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 32,
"text": [
"0.097979097139283808"
]
}
],
"prompt_number": 32
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"res[0][0]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 33,
"text": [
"array([ 0.0979791 , 0.09791782, 0.09794244, 0.09798657])"
]
}
],
"prompt_number": 33
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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