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@vietjtnguyen
Created October 12, 2013 18:39
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Multivariate Gaussian/normal distributions are parameterized by a mean vector ${\\bf \\mu}$ and a covariance matrix ${\\bf \\Sigma}$. The distribution returns a probability given an input vector ${\\bf x}$ of dimension $k$.\n",
"\n",
"$$\n",
"P({\\bf x}) = \\frac{1}{\\sqrt{(2\\pi)^k \\left| {\\bf \\Sigma} \\right|}}\n",
"\\exp\\left( -\\frac{1}{2} ({\\bf x}-{\\bf \\mu})^T {\\bf \\Sigma}^{-1} ({\\bf x}-{\\bf \\mu}) \\right)\n",
"$$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cdict = {'red': ((0.0, 0.9, 0.9),\n",
" (1.0, 1.0, 1.0)),\n",
" 'green': ((0.0, 0.9, 0.9),\n",
" (1.0, 0.9, 0.9)),\n",
" 'blue': ((0.0, 1.0, 1.0),\n",
" (1.0, 0.9, 0.9))}\n",
"LightRdBu = matplotlib.colors.LinearSegmentedColormap('LightRdBu', cdict)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def plot_gaussian(mu, sigma):\n",
" k = len(mu)\n",
" \n",
" gaussian = lambda x: \\\n",
" 1 / np.sqrt(np.power(2*np.pi, k)*np.linalg.det(sigma)) * \\\n",
" np.exp(-0.5*(x-mu).dot(np.linalg.inv(sigma)).dot(x-mu))\n",
" \n",
" extents = (mu[0]-sigma[0,0]*2, mu[0]+sigma[0,0]*2,\n",
" mu[1]-sigma[1,1]*2, mu[1]+sigma[1,1]*2)\n",
" \n",
" s=336\n",
" x_1, x_2 = np.array(np.meshgrid(np.linspace(extents[0], extents[1], s),\n",
" np.linspace(extents[2], extents[3], s)))\n",
" x_grid = np.hstack((np.reshape(x_1, (s*s, 1)),\n",
" np.reshape(x_2, (s*s, 1))))\n",
" f_grid = np.reshape(np.apply_along_axis(gaussian, 1, x_grid),\n",
" (s, s))\n",
" \n",
" fig = plt.figure(figsize=(6, 6))\n",
" ax = fig.add_subplot(1, 1, 1)\n",
" ax.set_aspect(1)\n",
" ax.set_xlabel(r'$x_1$', fontsize=18)\n",
" ax.set_ylabel(r'$x_2$', fontsize=18)\n",
" ax.set_title('Gaussian', fontsize=18)\n",
" ax.xaxis.grid(color='gray', linestyle='dashed')\n",
" ax.yaxis.grid(color='gray', linestyle='dashed')\n",
" ax.set_axisbelow(True)\n",
" ax.set_xlim(extents[0], extents[1])\n",
" ax.set_ylim(extents[2], extents[3])\n",
" ax.autoscale(False)\n",
" #ax.pcolor(x_1, x_2, f_grid,\n",
" # cmap=LightRdBu,\n",
" # vmin=0, vmax=np.max(f_grid))\n",
" ax.contour(x_1, x_2, f_grid,\n",
" cmap=cm.jet,\n",
" vmin=0, vmax=np.max(f_grid),\n",
" antialiased=True)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_gaussian(np.array([3, 4]), np.array([[3, 0], [0, 3]]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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8qH/Ll58iNjadmTO7m+zcy7bDlFWwdya0DzZevRISB8hgvEcKq7jFO/iwlmB6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\nzJt3DB8fT0aNasxzz4VQtqy7rUOzKUVR+O23qyxeHMm6dWfp3Lk6Y8Y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"text": [
"<matplotlib.figure.Figure at 0x14b3a750>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_gaussian(np.array([3, 4]), np.array([[3, 1], [1, 3]]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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7JvXu3TtPm8IWOyIiolCvV9gUpn7p6TlShw4rpLFjf5f0eoNZx05Nl6QXp0lS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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x14b3a3d0>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_gaussian(np.array([3, 4]), np.array([[3, -2], [-2, 3]]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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lOIwpkrFkr5zG3xV+KgE7/WFHDFS9BKuirQ8jdXczJKvN/hx6D4eR0w0nr9mK\nTqcxZkxTxowJpmnTBWzbdtn2ThQKM9jRdt7/U7NmTQ4ePJjTauRaPD1dKFXKi/Pn71OtWpF095OQ\nCG6u6Wt7OB7up0CHTDxWQY+eG9wklKvc5jb3uc9DHhFPPCmkoKHhiiueeFAAL3woRHTpB1zgIiUp\ngSfp9GxANXfYUAa2x8C7d2BGBHxbDKpbGRnV5jk4shL6fgjNB8KSiVCyqO169O1bE39/b7p1W8GE\nCS2wozB1RS7HLp2BIuPUrl2cI0duZ8gZZIQlDwyROpkxK4ggkr/Yz3FO4Ikn5SlHIBUpzDN44YUH\n7jjhhB49iSQSSyzRPCSCCI663WMXu7nFbQpQgHIEUJ7yVKA87tge49o8HxwpBz9EQrOr0LcgfO4H\nBawooVHMD36bA1/ONoSgLhwPLZ+1/e/RpIk/u3a9TLt2iwkKKkhQkGRqYUJF3kQ5AwelXr3iHDp0\nm759a6a7DxdnSErHkgbA+keG5K6MEEccW9nOSf6mLnV4lYH44mu2jSuu5Cc/RSgClCf2YgzBpYLR\no+cud7nMFQ5xmNWspTSlqE41qlHVplmDswZv+EB3L/jfXcPS0fRihvpKltDp4NMh0LgO9PmfodbR\np0NsP26zcmVf9u17haCgH3jttQ3MnNkeZ2e7XPVV5BLUp8cK7Cll3FoaNCjFX3/dsErWlH2e7hAT\nZ/Qts9xMgsgUqGH9+TpPcJVrTGcmgvAub9GGVhYdgTEe26ZDR3GK04hneZl+jOAD6lGXi1xiMtNY\nzFLOcg491u8Q+znDvJKGHIUP78GL1+G2ldVMg582nK627U/oOBQiH9hsGsWK5WfVqk5cvfqAF19c\nTlxcBkup2iG58btnC/Zkn93lGViDuUOdFQbi4pLw9Z1IWNhwPD3TdzTZ+VBoNwQubrGt3dpomB0F\nm8qka1hOc4a1rONFOlOJSunrxAbiiedvTnGIw0TzkKepT33qko981vehh7HhMCcSJhY1LB9Zs3KT\nlAQfTISNu2HtdKiejqKliYkpDBjwK9euPWD9+l54e+dgirfCrjF371QzAwfFw8OFWrWK8eef19Pd\nRxEfuHff9nanEqB6OmcFl7nCWtbRn77Z4ggA3HGnHnUZwmBeojcRRDCFb/iVddzHuj+Auw7GFoEt\nZWDyfeh8He5ascTm4gLffAyfvwFNX4bVW23X39XViZ9/foE6dYoTFDSfO3ce2d6JIs+jnIEDExwc\nwM6doek8mo7sAAAgAElEQVRuX7AApOgN5x/bwpUkKJ+OKKSHPGQZK+hOV0pSwvYOMoESFKcLnXmX\nt/AkH7OYw3JWEoZ1ReNqe8DBcoYoo5qXDLMka3ipI2z+Ad4ZD6Nn2F7bSKfTmDatNV27VqFx458y\n7YxlRd5BOQMHpnnzshmKR9c08C9heyXOO8lQLB2hCRvZTB1qU4HytjfOZPKTn5Y0533eoQhFmMNP\nrGQ1EVi+ybpqMK4IrCkN7981lM2OseLmXq86HPgFtuyFnu9DrI37NZqm8dlnQbzzzjM0aTKfM2dU\n1VOF9Shn4MA0alSa06fDuH8//YX+ypeGC1dta/NAD942frJucourXKMpQbY1zGLccSeYJrzH23jj\nzUxmsZHNxGL5b9rQE46Vg0SBupfhuBVHFBTzg53zDfkdwS/DnXTcz4cNe5px45rRrNlCjh27Y3sH\nijyJcgZWYE8p47bg5uZM06Zl+e23S2blzNlXuSycsXFyEa83VAS1hT3spTGNcCWdWW4myKxr5447\nLWjGO7xJMslMYzr7+IsUzGd5F3CCBSXhMz9ocRVmRljOXnZ3M+QgdAyGZ3rB3xdMy5qyr1+/mkyf\n3pbWrRdx4MBN8wPaMbn1u2ct9mSfcgZWYE8XzFbat6/Ihg3nzcqYs696RThpvnmGiSOO81ygDrUy\nve/Mvnb5yc/zdOQVBnCWs8zge65geYw+BWFfAMyOhF43LZ+boGnw2evw5TvQbIAhBNUY5uzr2rUq\nP/7YiQ4dlvDHH9cs6miP5ObvnjXYk33KGTg4HTsGsmXLRRIT01enqHYVOHrGtjaumm0F3S5wkQD8\n8cDDtoGMIQLJZyF2HkQPp0rxsRDRESLaQ2RXePAaPBwLccsg6TRI+v4uRSnCAPrTjKasYCWrWGNx\n6aiiG/xZFgroDEd/nrHiZNLeHWDlNEOC2s/rbNezQ4dAFi3qQufOy9i1K9T2DhR5BuUMHJzixQtQ\npYof27enbyO5anm4eReirIyKAfDSwUMbnMFlrmR801gfCQ/HQVgg3G8FCdtA50NEzNPg+Sp4DgH3\n7uBcEyQG4pdDZCe46wP3W8OjryHpb5sOMtbQqE413uZN3HHjG77jOCcQTPfhoYM5JeB/haFJqKHo\nnSWa1IOQ+fDZtzB+ju1nLbdqVZ5ly7rSrdsKQkJCbWusyDOochR5gBdfrMLKlWdo29b2jCZn53+O\ndTwBrRtb16awM4Tb8MB9i1vUobbNugGGO2PsbHj0Gbi1B++l4FI3NePrbnQIVdyDTbfX34fEPZCw\nFSLbAy4Gp+HRF1ysO3vbDTfa044a1GA1aznJ33SmE/kxXaVvYCGo6Q4v3oAj8fCFn/k6TlXKwx+L\nDecs3wmHKSNsK2HRrFlZli3rSvfuK1ixohtBQQHWN1bkCdTMIA/QvXs11q49S0JC+goNNa4Dew5b\nL1/c2XAGgDUIQhjh+KWj1ASSCFEvQewP4LMTvOeBaz3rUn8foysM7p2h4AzwC4VCy4AkiGgO4Q0h\ndiGIFWFAQGlK8QZDKEIRpjOTvzllVr6uBxwoC3tjDUlqlvYRShaFPT/D4VPQ/yND9rItNG1aNnWG\nsHu3jSFiCodHOQMrsKf6IemhVCkvqlcvwpYtF42+b8m+4Kdhpw0HswS4QKiVN6oEDAvnNu8XiB6i\n+oA8BN994GL8ACSbrp2mGWYVXhOhyDXI/xHEL4F7/vBwjGEWYQFnnGlFC/rQi9/ZyirWpNpojCLO\nsNXf4EAbhcLVRPP9e3vB73MhMhq6vA3Fipe13j4MDmHJkhfp2nU5+/alPzs9u8jt3z1L2JN9yhlY\ngT1dsPTSp89TLFp00uh7luxrVBtOnIMHD60bq4IrnLdicxQgjvj0bRzHTIGUm1BoBWima/Gk+9pp\nzuDeCXy2gE8IpFyDexUh+n+QYjn4vwyleYPX0dCYwffcxHTmnqsGs4rDQG9oGAr7LaQweLjDmm+h\nQD54/St/mzPEW7Qox8KFL9C58y8cOmRjRmE24wjfPXPYk33KGeQRunevxtatl4iIsL0MqYc7PFvb\ndHjjf6nqZqhPZA3JJONs69ZVyjV4NN6wP6BloDSqtbhUAe+54Hcc5BGEVYaHo0Bv3ju64UYXOtOS\nFsxnIfv4y+TmsqbBO4VhdnHocB1WW9hYdnGBn8dDRX9oNci2DX6ANm0qMHeuIez0xIm7tjVWOCTK\nGeQRvL3dadeuIosXn0hX+/ZBsHGXdbKlnCEF68o5a2hmo2+M8miCIULI2d+2dhnFqTQUnAm+hyDl\nsiFyKXauxfDUp6jOEAZzlKP8wnLiMb0H0aEA/FYG3roD31pYlXJygh8+hwY1DKen3Y+yzZxOnSrx\nzTdtaNNmERcupKMiocKhUM4gDzFwYG1+/PFousp/d2oK60MgxYooIU2Deu5w0Ip9VxdcSMKGnVCJ\ng7ilkO9N69tkNs5lwftnKLQeYudD+NOQuN9sk8L4MJhBeODB98zmnpnCd3U84I8A+D4Sht8FvZnL\npWkw9UNo0dCQnBYWYZspPXpU54svmtKy5c9cv56OQxUUDoNyBnmIZs3K8uhRYrrKEwSUhNLFYPch\n6+Sf8YR9VpRE8sCdOOKsnx0khIBLdXDKmaqmaXCtB4X3QL53ILIzPHgD9KZvqC640JlONKExc/mJ\nM5w1KevvCnsD4I9YGHALkiw4hPHvQYcgwwzBVofwyit1eOutBrRs+TNhYTZuQCgcBuUMrMCeUsYz\ngk6nMXhwXb7/Pu0d3Vr7urWGFb9ZN1YTT9hthTNwxRUnnIjDyr2MpL3gGmydLNlw7TQNPPuC32lD\nqGtYdYjfbLZJXerQlz6sYwMh7DLpCAs7wzZ/Q85Gl+sQZySR77F9mgZj3zbM4JoPhHAbK1i/915D\nunatStu2i4mOtnLDJxtwlO+eKezJPuUMrMCeLlhGGTCgFmvXniU8/P/v1Nba16MtrPzduvj2hh5w\nMgGirVhWKkQhIrFywTvppCGL2Eqy7drpCoH3HPCeD9FDIeoVsxvMpSnF6wzmNGdYwSqTS2WeOlhb\n2lDCot21J3MR/m2fpsEXbxlmCC1egQgb9xC++KIp9eqV4IUXlqU7JyWzcaTvnjHsyT7lDPIYfn75\neOGFKsyZY0MW2T+UKw0VysBvf1iW9dAZHMI2K1Yd/PC1+vAYUq6Dc4B1spaIfQjnDsCfv8LuFfDX\nesPvD21cZ/k3bs3B9wSgQXhNSDQdguWFF4MYSAopzGOBydpGLhr8XBICXaHlNcP50qbQNBj3DrRs\nCK0HWx8ObGirMWNGO7y93enXby16c5sVCodDOYM8yFtvPc3MmYdISrK9SFv/52HBr9bJts8PG604\ngbEoRbmDlXX35QFo3tbJGiMlGbbOh/efg97F4dshsGUu7F4GG2fB9Nehf1l4qTSM6w6b50DEbdvG\n0BUwhKJ6TTbsJTz6ypAkZwRXXOlBN/wpwyzmEIFxR+T0Ty5CQw9ofhXum3lw1zT4+gN4pqbhDOsY\nG46zcHLSsXhxF+7efcR77/2mzhrPQyhnkAepXbs4FSr4sHy5+XIJxujRFrbus26T8vkCsP4hpFi4\nn5SkBDfMJGWlQZJJd0mta2d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mW/dCFmFh/owe3fhfkxjls1eEinDswmaKabPv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\nydEwSKFjevrsSTIQxcKbb7aic+fqxMQs5to1615DaVQHNn2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TWSLJQBSl+PhU+vZdRUCA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\n",
"text": [
"<matplotlib.figure.Figure at 0x39bcbd0>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_gaussian(np.array([2, 1]), np.array([[1, 1], [0, 4]]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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y4AereLM88tjNHh7iAauHlUL2DRD4AvhWEGN99hgc2gQpZ8BshPA20HsEdB3s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\nZ2RkXRdSNxNNX9x2n6U7aLREvzYR5T8kOlTf9vN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Hk0QioZSUFCIiysjIoIyMjHbNO++8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\npHEXmlUfqwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xd8066d0>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_gaussian(np.array([0, 0]), np.array([[1, 0.8], [0.8, 1]]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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D5MmH0WiUH6VIhyKRSEyWiIhkPv98DzVqLCY1NYvz54ewZs171KhRuqilmS0dO/pgZWXB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mQYKKE8jykWgOELEgoEe0liLtG8ig3bcaOiAjPiNBqYtRH+txtWTlJ2/5JHMjM1jBu3i4CA25w5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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x18578810>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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