From a29f30e293edb253c04b11affb24297c1eeae81f Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Sun, 22 Jun 2014 18:02:43 -0700 Subject: [PATCH] Cleaned up stats.py, and added documentation for scipy.stats module. --- Gaussians.ipynb | 230 ++++++++++++++++++++++---- Multidimensional_Kalman_Filters.ipynb | 74 +++++---- gaussian_internal.py | 2 +- stats.py | 74 +++++++-- 4 files changed, 293 insertions(+), 87 deletions(-) diff --git a/Gaussians.ipynb b/Gaussians.ipynb index fa1e7be..f2baec2 100644 --- a/Gaussians.ipynb +++ b/Gaussians.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:d156d193bfb418b2b1abcbaa1a819c9a4e429e43842b4ecfaccb12444ce39e88" + "signature": "sha256:77dd26699221cccc5dd8134da79cadeb734eb30e9b6aa6d1b6b28bd6ad8c9566" }, "nbformat": 3, "nbformat_minor": 0, @@ -147,14 +147,9 @@ "cell_type": "code", "collapsed": false, "input": [ - "#ignore this code.\n", - "%matplotlib inline\n", - "from __future__ import division, print_function\n", - "from gaussian_internal import plot_gaussian\n", - "import matplotlib.pylab as pylab\n", - "pylab.rcParams['figure.figsize'] = 10,6\n", + "from stats import plot_gaussian\n", "\n", - "plot_gaussian(mu=100, variance=15*15, xlim=(45,155), xlabel='IQ', ylabel='percent')" + "plot_gaussian(mean=100, variance=15*15, xlabel='IQ', ylabel='percent')" ], "language": "python", "metadata": {}, @@ -162,13 +157,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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kJUdgoilU6VICxtcmxaK9z4GDtV1Kl0JEMmAzphKc2xePGjJp73Ng+7EmPJxvUboUj/lD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\nYcMGdHR0oLCwEJGRkYiJicGHH36I8PBwREVFob2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SPHn9QET4eUhdTp9RQ4a0Gg0yfxGLho4u/O1whdTluBQ15IekpbYMsfEmInJQfVsnntpe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\nTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 3 + "prompt_number": 2 }, { "cell_type": "markdown", @@ -249,7 +244,7 @@ "collapsed": false, "input": [ "from stats import gaussian\n", - "plot_gaussian(22,4,True,xlabel='$^{\\circ}C$',ylabel=\"Percent\")\n", + "plot_gaussian(22,4,mean_line=True,xlabel='$^{\\circ}C$',ylabel=\"Percent\")\n", "\n", "print('Probability of 22 is %.2f' % (gaussian(22,22,4)*100))\n", "print('Probability of 24 is %.2f' % (gaussian(24,22,4)*100))" @@ -257,14 +252,6 @@ "language": "python", "metadata": {}, "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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YizbYiBFRwJxDI9jb3IcK7qQfUpIk4frSVLx/vFt0KUSkETZiBsW5eSVmoi4YuVTWOLCw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\n+XnO/cyZXLq7u3nePceZXJKTkyP+vOtyufCDH/w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- "text": [ - "" - ] - }, { "output_type": "stream", "stream": "stdout", @@ -272,9 +259,17 @@ "Probability of 22 is 19.95\n", "Probability of 24 is 12.10\n" ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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qYO6w4W/7yzB/RAx0PHlN5FTpAVYY9DpsOcWtFYnUSLP7Z7EPJRfOS/0+O1aF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\n", + "text": [ + "" + ] } ], - "prompt_number": 4 + "prompt_number": 3 }, { "cell_type": "markdown", @@ -308,7 +303,7 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", - "xs = np.arange(15,30,0.1)\n", + "xs = np.arange(15,30,0.05)\n", "p1, = plt.plot (xs,[gaussian(x, 23, .2) for x in xs],'b')\n", "p2, = plt.plot (xs,[gaussian(x, 23, 1) for x in xs],'g')\n", "p3, = plt.plot (xs,[gaussian(x, 23, 5) for x in xs],'r')\n", @@ -321,13 +316,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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m3XyDBw/G5MmTMWjQIACWivbaooqIyN2VlEjo1s1sd1EFAOHhJuj1nGNF7mHSpEl4//33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\ngegcgciK67neFobeFoHeGove1huDLQK9NZxIWwQtrM2QVD1mXF9iSiK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7lpWVwdPTEwsWLMCMGTOwbt06qwyYWmIvkjjMUizmKZa185TzrncmAQEG9hgr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\nbOj/Q7lVhEt2seH0BlafWM3qE6u5aL9Ir8RedEnoQof6HWgR3QK97sa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"text": [ - "" + "" ] } ], - "prompt_number": 5 + "prompt_number": 4 }, { "cell_type": "markdown", @@ -354,7 +349,8 @@ "collapsed": false, "input": [ "from gaussian_internal import display_stddev_plot\n", - "display_stddev_plot()" + "display_stddev_plot()\n", + "plt.show()" ], "language": "python", "metadata": {}, @@ -362,13 +358,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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rRUWLrpzFJgFANPrcrDy9srdNh9r7TUcBYgqFFRhG96+r0aem5Cgj0WM6CoDj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\n2FgAkY3CiojV0BXQt1/aq5s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M1LLydP1mc6PpKEDcobACo6ihO6BVlW26ei6bBACx6ONz8/Xivg7VdA6ajgLE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\nTjIdBwBsY0ZBir54Wpn+8/n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"text": [ - "" + "" ] } ], - "prompt_number": 6 + "prompt_number": 5 }, { "cell_type": "markdown", @@ -417,21 +413,21 @@ { "metadata": {}, "output_type": "display_data", - "png": 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+sLlOcTFR+mwxNzGGWdeek6XYaJdWvV9ndSnAoEUz5QCssZt3Oplv39+uP3+4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\nZ7fqrCFurfxckSblJFtdFgA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G9dCb+1SUGa9rx2VZXQ5wxuKjo3T/jHwt+6RK/yhjhQkgkjAzDCBkv3u/Upur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\nCNrb21VWVqYbb7xRcXFxeuqpp1RUVKS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"text": [ - "" + "" ] }, { "metadata": {}, "output_type": "pyout", - "prompt_number": 7, + "prompt_number": 6, "text": [ "" ] } ], - "prompt_number": 7 + "prompt_number": 6 }, { "cell_type": "heading", @@ -445,11 +441,175 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Recall how our discrete Bayesian filter worked. We had a vector implemented as a numpy array representing our belief at a certain moment in time. When we performed another measurement using the *sense()* function we had to multiply probabilities together, and when we performed the motion step using the *update()* function we had to shift and add probabilities. I've promised you that the Kalman filter uses essentially the same process, and that it uses Gaussians instead of histograms, so you might reasonable expect that we will be multipling, adding, and shifting Gaussians in the Kalman filter.\n", + "Recall how our discrete Bayesian filter worked. We had a vector implemented as a numpy array representing our belief at a certain moment in time. When we performed another measurement using the $\\texttt{sense()}$ function we had to multiply probabilities together, and when we performed the motion step using the $\\texttt{update()}$ function we had to shift and add probabilities. I've promised you that the Kalman filter uses essentially the same process, and that it uses Gaussians instead of histograms, so you might reasonable expect that we will be multipling, adding, and shifting Gaussians in the Kalman filter.\n", "\n", "A typical textbook would directly launch into a multipage proof of the behavior of Gaussians under these operations, but I don't see the value in that right now. I think the math will be much more intuitive and clear if we just start developing a Kalman filter using Gaussians. I will provide the equations for multiplying and shifting Gaussians at the appropriate time. You will then be able to develop a physical intuition for what these operations do, rather than be forced to digest a lot of fairly abstract math.\n", "\n", - "The key point, which I will only assert for now, is that all the operations are very simple, and that they preserve the properties of the Gaussian. This is somewhat remarkable, in that the Gaussian is a nonlinear function, and typically if you multiply a nonlinear equation with itself you end up with a different equation. For example, the shape of $sin(x)sin(x)$ is very different from $sin(x)$. But the result of multiplying two Gaussians is yet another Gaussian. This is a fundamental property, and the key reason why Kalman filters are possible." + "The key point, which I will only assert for now, is that all the operations are very simple, and that they preserve the properties of the Gaussian. This is somewhat remarkable, in that the Gaussian is a nonlinear function, and typically if you multiply a nonlinear equation with itself you end up with a different equation. For example, the shape of $\\texttt{sin(x)sin(x)}$ is very different from $\\texttt{sin(x)}$. But the result of multiplying two Gaussians is yet another Gaussian. This is a fundamental property, and the key reason why Kalman filters are possible." + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Computing Probabilities with scipy.stats" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this chapter I have used by custom written code for computing Gaussians, plotting, and so on. I chose to do that to give you a chance to look at the code and see how these functions are implemented. However, Python comes with \"batteries included\" as the saying goes, and it comes with a wide range of statistics functions in the module scipy.stats. I find the performance of some of the functions rather slow, but this is offset by the fact that this is standard code available to everyone, and it is well tested. So let's walk through how to use scipy.stats to compute various things.\n", + "\n", + "The scipy.stats module contains a number of objects which you can use to compute attributes of various probability distributions. The full documentation for this module is here: http://http://docs.scipy.org/doc/scipy/reference/stats.html. However, we will focus on the norm variable, which implements the normal distribution. Let's look at some code that uses $\\texttt{scipy.stats.norm}$ to compute a Gaussian, and compare its value to the value returned by the $\\texttt{gaussian()}$ function." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from scipy.stats import norm\n", + "print (norm(2,3).pdf(1.5))\n", + "print (gaussian(x=1.5, mean=2, var=3*3))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "0.131146572034\n", + "0.131146572034\n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The call $\\texttt{norm(2,3)}$ creates what scipy calls a 'frozen' distribution - it creates and returns an object with a mean of 2 and a standard deviation of 3. You can then use this object multiple times to get the probability of various values, like so:" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "n23 = norm(2,3)\n", + "print ('probability of 1.5 is %.4f' % n23.pdf(1.5))\n", + "print ('probability of 2.5 is also %.4f' % n23.pdf(2.5))\n", + "print ('whereas probability of 2 is %.4f' % n23.pdf(2))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "probability of 1.5 is 0.1311\n", + "probability of 2.5 is also 0.1311\n", + "whereas probability of 2 is 0.1330\n" + ] + } + ], + "prompt_number": 29 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we look at the documentation for $\\texttt{scipy.stats.norm}$ at http://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.norm.html#scipy.stats.normfor we see that there are many other functions that norm provides.\n", + "\n", + "For example, we can generate $n$ samples from the distribution with the $\\texttt{rvs()}$ function." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print (n23.rvs(size=15))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "[-1.38712424 3.97243811 0.92282289 -1.55104121 1.20054046 3.01082724\n", + " 2.16107712 -3.75593717 -3.33939026 -0.96990356 3.9068464 -4.27111698\n", + " -1.46172011 1.24786025 4.62186611]\n" + ] + } + ], + "prompt_number": 31 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can get the *cumulative distribution function (CDF)*, which is the probability that a randomly drawn value from the distribution is less than or equal to $x$." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# probability that a random value is less than the mean 2\n", + "print (n23.cdf (2))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "0.5\n" + ] + } + ], + "prompt_number": 33 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can get various properties of the distribution:" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print ('variance is', n23.var())\n", + "print ('standard deviation is', n23.std())\n", + "print ('mean is', n23.mean())" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "variance is 9.0\n", + "standard deviation is 3.0\n", + "mean is 2.0\n" + ] + } + ], + "prompt_number": 37 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are many other functions available, and if you are interested I urge you to peruse the documentation. I find the documentation to be excessively terse, but with a bit of googling you can find out what a function does and some examples of how to use it. Most of this functionality is not of immediate interest to the book, so I will leave the topic in your hands to explore. " ] }, { diff --git a/Multidimensional_Kalman_Filters.ipynb b/Multidimensional_Kalman_Filters.ipynb index 1562aa9..4c6a433 100644 --- a/Multidimensional_Kalman_Filters.ipynb +++ b/Multidimensional_Kalman_Filters.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:22be69a2e94220518ac46fa32a493f4e6a94a118e580f9527d8d1a8ac217f37a" + "signature": "sha256:289a94c10bf8fbab3d3994e581012c7506ea7c6125653aaa21a1335bc2b5749d" }, "nbformat": 3, "nbformat_minor": 0, @@ -976,12 +976,12 @@ "input": [ "import numpy as np\n", "from KalmanFilter import KalmanFilter\n", - "f = KalmanFilter (dim=2)" + "dog_filter = KalmanFilter (dim=2)" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 16 + "prompt_number": 3 }, { "cell_type": "markdown", @@ -996,17 +996,17 @@ "cell_type": "code", "collapsed": false, "input": [ - "f.x = np.matrix([[0], [0]]) # initial state (location and velocity)\n", - "f.F = np.matrix([[1,1], [0,1]]) # state transition matrix\n", - "f.H = np.matrix([[1,0]]) # Measurement function\n", - "f.R = 5 # measurement noise\n", - "f.Q = 0 # process noise\n", - "f.P *= 500. # covariance matrix \n" + "dog_filter.x = np.matrix([[0], [0]]) # initial state (location and velocity)\n", + "dog_filter.F = np.matrix([[1,1], [0,1]]) # state transition matrix\n", + "dog_filter.H = np.matrix([[1,0]]) # Measurement function\n", + "dog_filter.R = 5 # measurement noise\n", + "dog_filter.Q = 0 # process noise\n", + "dog_filter.P *= 500. # covariance matrix \n" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 17 + "prompt_number": 4 }, { "cell_type": "markdown", @@ -1049,17 +1049,20 @@ "from DogSensor import DogSensor\n", "\n", "def dog_tracking_filter(R,Q=0,cov=1.):\n", - " f = KalmanFilter (dim=2)\n", - " f.x = np.matrix([[0], [0]]) # initial state (location and velocity)\n", - " f.F = np.matrix([[1,1],[0,1]]) # state transition matrix\n", - " f.H = np.matrix([[1,0]]) # Measurement function\n", - " f.R = R # measurement uncertainty\n", - " f.P *= cov # covariance matrix \n", + " dog_filter = KalmanFilter (dim=2)\n", + " dog_filter.x = np.matrix([[0], \n", + " [0]]) # initial state (location and velocity)\n", + " dog_filter.F = np.matrix([[1,1],\n", + " [0,1]]) # state transition matrix\n", + " dog_filter.H = np.matrix([[1,0]]) # Measurement function\n", + " dog_filter.R = R # measurement uncertainty\n", + " dog_filter.P *= cov # covariance matrix \n", " if np.isscalar(Q):\n", - " f.Q = np.matrix([[0,0],[0,Q]])\n", + " dog_filter.Q = np.matrix([[0,0],\n", + " [0,Q]])\n", " else:\n", - " f.Q = Q\n", - " return f\n", + " dog_filter.Q = Q\n", + " return dog_filter\n", "\n", "\n", "def filter_dog(noise=0, count=0, R=0, Q=0, data=None):\n", @@ -1078,15 +1081,14 @@ "\n", " dog_filter = dog_tracking_filter(R=R, Q=Q, cov=500.)\n", "\n", - " pos = [None] * count\n", + " pos = [None] * count\n", " cov = [None] * count\n", " \n", " for t in range(count):\n", " z = zs[t]\n", " pos[t] = dog_filter.x[0,0]\n", " cov[t] = dog_filter.P\n", - "\n", - " \n", + " \n", " # perform the kalman filter steps\n", " dog_filter.update (z)\n", " dog_filter.predict()\n", @@ -1096,7 +1098,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 18 + "prompt_number": 5 }, { "cell_type": "markdown", @@ -1146,8 +1148,8 @@ " plt.legend([p0,p1,p2], ['actual','measurement', 'filter'], 2)\n", " plt.ylim((0-10,count+10))\n", " plt.title(title)\n", - "\n", " plt.show()\n", + " \n", " if plot_P:\n", " plt.subplot(121)\n", " plot_covariance(cov, (0,0))\n", @@ -1164,7 +1166,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 19 + "prompt_number": 6 }, { "cell_type": "markdown", @@ -1185,9 +1187,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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gla5fh3r1MlzXREVhun6d3TYbqX/6YWFh2O12/jL+xTd/fMMp1SmqxFXhyWeeJK9yXAf5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jmkbDZ7PkzI/4JfoxsPZAulTqgkFryLV+yFLTD7B06VJat25NjRo16N+/P7169aJatWqc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"text": [ - "" + "" ] } ], - "prompt_number": 20 + "prompt_number": 7 }, { "cell_type": "markdown", @@ -1275,7 +1277,7 @@ " self.x = self.x + (K*y)\n", " self.P = (self.I - (K*self.H))*self.P\n", " \n", - "Finally, for those reading this online or in a printed form, here is the code in $\\verb,KalmanFilter.py,$ absent the unit testing code that is included in that file." + "Finally, for those reading this online or in a printed form, here is the code in $\\verb,KalmanFilter.py,$ absent the unit testing code that is included in that file. It has also been simplified slightly; the actual code uses a more complicated way to compute $\\mathbf{P}$ in the update step that is more numerically stable. We are not yet prepared to discuss the numerical performance of the filter, so I have elided that code here. " ] }, { @@ -1327,7 +1329,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 21 + "prompt_number": 8 }, { "cell_type": "heading", @@ -1364,21 +1366,21 @@ { "metadata": {}, "output_type": "display_data", - "png": 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ZlJczCO3AQTlhAmSbNgm0OsPENB6aEmMzUlNTkZKSAgC4evVqVSnFkCFDcP36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8aA2GCioMCxhBIpPjmSSCGN227jUFTEIDubUWzhHfE5ei+kdt4NqZ9vQWaMJUDn5MBvwQJUbN0K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\n6KGOxAyIi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SpYmKimLHjh2ULl2a69ev2zye1Wp1eGtl4f4kvkIIIbxFXJyT64utVsdLIvz8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WhiXKlSJdy9ezfv8d27d1GpUqVC24UnhqPW/Vo4e/IsbvjfQEhISJ5PYO6VmZzHRiOD5cvbw9vb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\noRkzZrj1p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pl+ROge5bs1ix+dPpMPbsif7bbz0diaJIYSyEEEIIcZ/Apk1RXbqU5X7NL79AfLwHInKO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/t1M8sDhPVX6KqCpRNCrVCJ1Wl+P9+bJiLIQQQggh8k/K3Llemddety7Jn3+O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"text": [ - "" + "" ] } ], - "prompt_number": 22 + "prompt_number": 9 }, { "cell_type": "markdown", diff --git a/gaussian_internal.py b/gaussian_internal.py index 1c33e6c..65eae54 100644 --- a/gaussian_internal.py +++ b/gaussian_internal.py @@ -16,6 +16,7 @@ def plot_gaussian (mu, variance, xlim=None, xlabel=None, ylabel=None): + xs = np.arange(mu-variance*2,mu+variance*2,0.1) ys = [stats.gaussian (x, mu, variance)*100 for x in xs] plt.plot (xs, ys) @@ -51,7 +52,6 @@ def display_stddev_plot(): ax.xaxis.set_ticklabels(['$-\sigma$','$\mu$','$\sigma$']) ax.yaxis.set_ticks([]) plt.show() - pylab.rcParams['figure.figsize'] = figsize if __name__ == '__main__': display_stddev_plot() \ No newline at end of file diff --git a/stats.py b/stats.py index fe81ae0..d32c0dc 100644 --- a/stats.py +++ b/stats.py @@ -12,6 +12,7 @@ faster, at least on my machine. For example, gaussian average 794 ns, whereas stats.norm(), using the frozen form, averages 116 microseconds per call. """ +from __future__ import division import math import numpy as np @@ -19,6 +20,7 @@ import numpy.linalg as linalg import matplotlib.pyplot as plt import scipy.sparse as sp import scipy.sparse.linalg as spln +import scipy.stats from matplotlib.patches import Ellipse _two_pi = 2*math.pi @@ -29,16 +31,32 @@ def gaussian(x, mean, var): mean and variance. All must be scalars. gaussian (1,2,3) is equivalent to scipy.stats.norm(2,math.sqrt(3)).pdf(1) + It is quite a bit faster albeit much less flexible than the latter. """ return math.exp((-0.5*(x-mean)**2)/var) / math.sqrt(_two_pi*var) + # return scipy.stats.norm(mean, math.sqrt(var)).pdf(x) -def mul (a_mu, a_var, b_mu, b_var): - m = (a_var*b_mu + b_var*a_mu) / (a_var + b_var) - v = 1. / (1./a_var + 1./b_var) - return (m, v) -def add (a_mu, a_var, b_mu, b_var): - return (a_mu+b_mu, a_var+b_var) +def mul (mean1, var1, mean2, var2): + """ multiply Gaussians (mean1, var1) with (mean2, var2) and return the + results as a tuple (mean,var). + + var1 and var2 are variances - sigma squared in the usual parlance. + """ + + mean = (var1*mean2 + var2*mean1) / (var1 + var2) + var = 1 / (1/var1 + 1/var2) + return (mean, var) + + +def add (mean1, var1, mean2, var2): + """ add the Gaussians (mean1, var1) with (mean2, var2) and return the + results as a tuple (mean,var). + + var1 and var2 are variances - sigma squared in the usual parlance. + """ + + return (mean1+mean2, var1+var2) def multivariate_gaussian(x, mu, cov): @@ -78,13 +96,40 @@ def multivariate_gaussian(x, mu, cov): return math.exp(-0.5*(norm_coeff + numerator)) -def norm_plot(mean, var): - min_x = mean - var * 1.5 - max_x = mean + var * 1.5 +def plot_gaussian(mean, variance, + mean_line=False, + xlim=None, + xlabel=None, + ylabel=None): + """ plots the normal distribution with the given mean and variance. x-axis + contains the mean, the y-axis shows the probability. - xs = np.arange(min_x, max_x, 0.1) - ys = [gaussian(x,mean,var) for x in xs] - plt.plot(xs,ys) + mean_line : draws a line at x=mean + xlim: optionally specify the limits for the x axis as tuple (low,high). + If not specified, limits will be automatically chosen to be 'nice' + xlabel : optional label for the x-axis + ylabel : optional label for the y-axis + """ + + sigma = math.sqrt(variance) + n = scipy.stats.norm(mean, sigma) + + if xlim is None: + min_x = n.ppf(0.001) + max_x = n.ppf(0.999) + else: + min_x = xlim[0] + max_x = xlim[1] + xs = np.arange(min_x, max_x, (max_x - min_x) / 1000) + plt.plot(xs,n.pdf(xs)) + plt.xlim((min_x, max_x)) + + if mean_line: + plt.axvline(mean) + if xlabel: + plt.xlabel(xlabel) + if ylabel: + plt.ylabel(ylabel) def covariance_ellipse(P): @@ -100,7 +145,6 @@ def covariance_ellipse(P): return (orientation, width, height) - def plot_covariance_ellipse(mean, cov=None, variance = 1.0, ellipse=None, title=None, axis_equal=True, facecolor='none', edgecolor='blue'): @@ -112,7 +156,7 @@ def plot_covariance_ellipse(mean, cov=None, variance = 1.0, variance is the normal sigma^2 that we want to plot. If list-like, ellipses for all ellipses will be ploted. E.g. [1,2] will plot the - \sigma^2 = 1 and \sigma^2 = 2 ellipses. + sigma^2 = 1 and sigma^2 = 2 ellipses. ellipse is a (angle,width,height) tuple containing the angle in radians, and width and height radii. @@ -168,7 +212,6 @@ def _to_cov(x,n): return np.eye(n) * x - def test_gaussian(): import scipy.stats @@ -184,6 +227,7 @@ def test_gaussian(): if __name__ == '__main__': + from scipy.stats import norm test_gaussian()