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@fabian-paul
Created August 11, 2017 17:41
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from __future__ import print_function\n",
"import numpy as np\n",
"import pyemma\n",
"import msmtools\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"class MetaDynamics(object):\n",
" def __init__(self):\n",
" self.n_states = 20\n",
" self.x = np.linspace(-3, 3, num=self.n_states)\n",
" d = 0.5\n",
" s = 2.0\n",
" self.base_pot = (self.x**2-s**2)**2 + d*s*(self.x**3/3-s**2*self.x)\n",
" self._active_gaussians = []\n",
" self.pos = 0 \n",
" @staticmethod\n",
" def G(x, mean, sig=1, a=8):\n",
" return a*np.exp(-np.power(x - mean, 2.) / (2 * np.power(sig, 2.)))\n",
" @property\n",
" def T(self):\n",
" return msmtools.generation.transition_matrix_metropolis_1d(self.pot)\n",
" def bias(self, level):\n",
" if level==-1:\n",
" level = len(self._active_gaussians)\n",
" res = np.zeros(self.n_states)\n",
" for i in range(level):\n",
" res += MetaDynamics.G(self.x, self._active_gaussians[i])\n",
" return res\n",
" @property\n",
" def pot(self):\n",
" return self.base_pot + self.bias(-1)\n",
" def integrate(self, n_steps=1, stride=1):\n",
" traj = msmtools.generation.generate_traj(self.T, n_steps, start=self.pos)\n",
" self.pos = traj[-1]\n",
" return traj[::stride]\n",
" def add_gaussian(self, s):\n",
" self._active_gaussians.append(self.x[s])\n",
" def biases(self, s):\n",
" return np.cumsum([ MetaDynamics.G(self.x[s], m) for m in self._active_gaussians])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"11-08-17 19:38:09 pyemma.coordinates.clustering.kmeans.KmeansClustering[0] INFO Cluster centers converged after 2 steps.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Widget Javascript not detected. It may not be installed properly. Did you enable the widgetsnbextension? If not, then run \"jupyter nbextension enable --py --sys-prefix widgetsnbextension\"\n",
"Widget Javascript not detected. It may not be installed properly. Did you enable the widgetsnbextension? If not, then run \"jupyter nbextension enable --py --sys-prefix widgetsnbextension\"\n"
]
}
],
"source": [
"# do the simulation\n",
"dtraj = np.array(0, dtype=np.int)\n",
"ttraj = np.array(0, dtype=np.int)\n",
"therm_state = 0\n",
"md = MetaDynamics()\n",
"n_phases = 80\n",
"for _ in range(n_phases):\n",
" piece = md.integrate(2000, stride=40)\n",
" dtraj = np.append(dtraj, piece)\n",
" ttraj = np.append(ttraj, np.zeros(len(piece), dtype=np.int) + therm_state)\n",
" md.add_gaussian(piece[-1])\n",
" \n",
" therm_state += 1\n",
" \n",
"kmeans = pyemma.coordinates.cluster_kmeans([dtraj], k=10)\n",
"coarse_dtrajs = kmeans.dtrajs\n",
"\n",
"# compute the bias\n",
"btraj = np.vstack([ md.biases(x) for x in dtraj ])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fe341aeec50>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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jkJeSvJSYP8Pky4koTDqnJz4MY3pdn17bo9fuMep1cXodnF4Tp9vG6bfwBm08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ZcrvELglRInHE5U7BUX2RXrhVvpJcvFug8JTq5pVZ98VpVvpaWj+shUWkgqrQAE5TEw9ggmPq2x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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe344a17610>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(md.x, md.base_pot)\n",
"plt.plot(md.x, md.pot)\n",
"for i in range(n_phases):\n",
" plt.plot(md.x, md.base_pot + md.bias(i))\n",
"plt.ylabel('potential')\n",
"plt.xlabel('x axis') "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fe33848b810>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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RzHCZzmc7qg+ByJWjq9PEFRTKkpDJE3qEU+b0XlH9psdjlVFEZEmolHTxvMyS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\n/1RjgjswSGc9AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe34498a150>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(dtraj);\n",
"plt.xlabel('time step')\n",
"plt.ylabel('fine dtraj')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Widget Javascript not detected. It may not be installed properly. Did you enable the widgetsnbextension? If not, then run \"jupyter nbextension enable --py --sys-prefix widgetsnbextension\"\n",
"Widget Javascript not detected. It may not be installed properly. Did you enable the widgetsnbextension? If not, then run \"jupyter nbextension enable --py --sys-prefix widgetsnbextension\"\n"
]
}
],
"source": [
"tram = pyemma.thermo.tram(ttrajs=[ttraj], dtrajs=coarse_dtrajs, bias=[btraj], lag=10, \n",
" maxerr=1.E-12, direct_space=True, connectivity='reversible_pathways')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fe3382c2690>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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PbWVvY/rm6U5HCWqqSr/5/Vgeu5xvO39LwdwFnY7kqAK5CzC381yW7l7KgB+T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\nriz604TRZA0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe3384355d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def shifted(x):\n",
" return x-np.min(x)\n",
"plt.plot(kmeans.clustercenters, shifted(-np.log(tram.stationary_distribution_full_state)), 'o', label='TRAM')\n",
"plt.plot(shifted(md.base_pot), label='model reference')\n",
"plt.ylabel('-log(stationary weight)')\n",
"plt.xlabel('x axis')\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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