diff --git a/benchmarks/cython_least_squares.ipynb b/benchmarks/cython_least_squares.ipynb index 59ab236..1899265 100644 --- a/benchmarks/cython_least_squares.ipynb +++ b/benchmarks/cython_least_squares.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:12829b0c696b932be7039bcfd54490f1918f4155c72cd73b7fcfe1b46387decb" + "signature": "sha256:f31afc5ec11e69936e14bd2ddb07709f1548a2bf4e92e6915a6fa94869a056ab" }, "nbformat": 3, "nbformat_minor": 0, diff --git a/benchmarks/timeit_tests.ipynb b/benchmarks/timeit_tests.ipynb index 1222ca9..621e604 100644 --- a/benchmarks/timeit_tests.ipynb +++ b/benchmarks/timeit_tests.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:7773fd07ffe611312feea432cbf6765914b236c0cdfbbb7c8de867f61a8b97ce" + "signature": "sha256:72a4e6f875d6b68497036a926caa242f8bcd993b827ce9b6dd576c414b944cd5" }, "nbformat": 3, "nbformat_minor": 0, @@ -77,7 +77,8 @@ " - [`sum()` vs. `numpy.sum()`](#np_sum)\n", " - [`range()` vs. `numpy.arange()`](#np_arange)\n", " - [`statistics.mean()` vs. `numpy.mean()`](#np_mean)\n", - "- [Cython vs. regular (C)Python](#cython)" + "- [Cython vs. regular (C)Python](#cython)\n", + "- [Numba vs regular (C)Python & Numpy](#numba)" ] }, { @@ -2887,61 +2888,66 @@ "cell_type": "code", "collapsed": false, "input": [ - "# note that the statistics module is only available\n", - "# in Python 3.4.0 or newer\n", + "# The statistics module has been added to\n", + "# the standard library in Python 3.4\n", "\n", - "from statistics import mean as st_mean\n", - "from numpy import mean as np_mean\n", + "import timeit\n", + "import statistics as stats\n", + "import numpy as np\n", "\n", "def calc_mean(samples):\n", " return sum(samples)/len(samples)\n", "\n", - "samples = list(range(1000000))\n", + "def np_mean(samples):\n", + " return np.mean(samples)\n", "\n", - "%timeit(st_mean(samples))\n", + "def np_mean_ary(np_array):\n", + " return np.mean(np_array)\n", + "\n", + "def st_mean(samples):\n", + " return stats.mean(samples)\n", + "\n", + "n = 1000000\n", + "samples = list(range(n))\n", + "samples_array = np_arange(n)\n", + "\n", + "assert(st_mean(samples) == np_mean(samples)\n", + " == calc_mean(samples) == np_mean_ary(samples_array))\n", + "\n", + "%timeit(calc_mean(samples))\n", "%timeit(np_mean(samples))\n", - "%timeit(calc_mean(samples))" + "%timeit(np_mean_ary(samples_array))\n", + "%timeit(st_mean(samples))" ], "language": "python", "metadata": {}, "outputs": [ { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1 loops, best of 3: 1.13 s per loop\n", - "10 loops, best of 3: 141 ms per loop" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - "10 loops, best of 3: 136 ms per loop" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" + "ename": "ImportError", + "evalue": "No module named 'statistics'", + "output_type": "pyerr", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mImportError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtimeit\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mstatistics\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mstats\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mImportError\u001b[0m: No module named 'statistics'" ] } ], - "prompt_number": 48 + "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ - "funcs = ['st_mean', 'np_mean', 'calc_mean']\n", + "funcs = ['st_mean', 'np_mean', 'calc_mean', 'np_mean_ary']\n", "orders_n = [10**n for n in range(1, 6)]\n", "times_n = {f:[] for f in funcs}\n", "\n", "for n in orders_n:\n", " samples = list(range(n))\n", " for f in funcs:\n", + " if f == 'np_mean_ary':\n", + " samples = np.arange(n)\n", " times_n[f].append(min(timeit.Timer('%s(samples)' %f, \n", " 'from __main__ import %s, samples' %f)\n", " .repeat(repeat=3, number=1000)))" @@ -2958,8 +2964,10 @@ "import matplotlib.pyplot as plt\n", "\n", "labels = [('st_mean', 'statistics.mean()'), \n", - " ('np_mean', 'numpy.mean()'),\n", - " ('calc_mean', 'sum(samples)/len(samples)')]\n", + " ('np_mean', 'numpy.mean() on list'),\n", + " ('np_mean_ary', 'numpy.mean() on array'),\n", + " ('calc_mean', 'sum(samples)/len(samples)')\n", + " ]\n", "\n", "matplotlib.rcParams.update({'font.size': 12})\n", "\n", @@ -2976,14 +2984,14 @@ "plt.title('Performance of different approaches for calculating sample means')\n", "\n", "max_perf = max( s/c for s,c in zip(times_n['st_mean'],\n", - " times_n['calc_mean']) )\n", + " times_n['np_mean_ary']) )\n", "min_perf = min( s/c for s,c in zip(times_n['st_mean'],\n", - " times_n['calc_mean']) )\n", + " times_n['np_mean_ary']) )\n", "\n", - "ftext = 'using sum(samples)/len(samples) is {:.2f}x to '\\\n", - " '{:.2f}x faster than statistics.mean()'\\\n", + "ftext = 'using numpy.mean() on np.arrays is {:.2f}x to '\\\n", + " '{:.2f}x faster than statistics.mean() on lists'\\\n", " .format(min_perf, max_perf)\n", - "plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n", + "plt.figtext(.14,.15, ftext, fontsize=11, ha='left')\n", "\n", "plt.show()" ], @@ -3024,6 +3032,39 @@ "[[back to top](#sections)]" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here, we implement a linear regression via least squares fitting (with vertical offsets) by solving to fit *n* points $(x_i, y_i)$ with $i=1,2,...n,$ via linear equation of the form \n", + "$f(x) = a\\cdot x + b$. \n", + "\n", + "Therefore we calculate the following parameters as follows:\n", + "\n", + "$a = \\frac{S_{x,y}}{\\sigma_{x}^{2}}\\quad$ (slope)\n", + "\n", + "$b = \\bar{y} - a\\bar{x}\\quad$ (y-axis intercept)\n", + "\n", + "where \n", + "\n", + "\n", + "$S_{xy} = \\sum_{i=1}^{n} (x_i - \\bar{x})(y_i - \\bar{y})\\quad$ (covariance)\n", + "\n", + "\n", + "$\\sigma{_x}^{2} = \\sum_{i=1}^{n} (x_i - \\bar{x})^2\\quad$ (variance)\n", + "\n", + "I have described the approach in more detail in this [IPython notebook](http://sebastianraschka.com/IPython_htmls/cython_least_squares.html)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "
\n", + "**First, the implementation in Python (CPython)**:" + ] + }, { "cell_type": "code", "collapsed": false, @@ -3046,7 +3087,16 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 62 + "prompt_number": 1 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "
\n", + "**And now, adding type definitions and compiling the code via Cython**:" + ] }, { "cell_type": "code", @@ -3057,7 +3107,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 58 + "prompt_number": 2 }, { "cell_type": "code", @@ -3083,7 +3133,83 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 63 + "prompt_number": 3 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "
\n", + "**A small visual proof of concept that our least squares fit works as intended:**" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 5 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from matplotlib import pyplot as plt\n", + "\n", + "import timeit\n", + "import random\n", + "random.seed(12345)\n", + "\n", + "n = 500\n", + "x = [x_i*random.randrange(8,12)/10 for x_i in range(n)]\n", + "y = [y_i*random.randrange(10,14)/10 for y_i in range(n)]\n", + "\n", + "slope, intercept = cy_lstsqr(x, y)\n", + "\n", + "line_x = [round(min(x)) - 1, round(max(x)) + 1]\n", + "line_y = [slope*x_i + intercept for x_i in line_x]\n", + "\n", + "plt.figure(figsize=(8,8))\n", + "plt.scatter(x,y)\n", + "plt.plot(line_x, line_y, color='red', lw='2')\n", + "\n", + "plt.ylabel('y')\n", + "plt.xlabel('x')\n", + "plt.title('Linear regression via least squares fit')\n", + "\n", + "ftext = 'y = ax + b = {:.3f} + {:.3f}x'\\\n", + " .format(slope, intercept)\n", + "plt.figtext(.15,.8, ftext, fontsize=11, ha='left')\n", + "\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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oUKGC+RgfH5/nnp1MUSxFp9OphPU1l5HTTCuKJVg8EUhMTGTt2rWpPvf8PIPEHlWwYEHO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DHxGnAGx86AbwBOQDeWLp1710EAgJ+fH9Onf8O6dYv54IMBNwQBAE5OTsz9aRrpL7blZbGDuztd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\n279/P/Pnzycv7xXgTbwX9t7Avdj4lFe4h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RGxMJ8EgcWLFxMTE4PD4WDXrl1n7Zs0aRKR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\nB2H+zOtjC0adAAAAAElFTkSuQmCC\n", + "text": [ + "" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "
\n", + "**Eventually, the benchmark:**:" + ] }, { "cell_type": "code", @@ -3109,17 +3235,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 64 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "%pylab inline" - ], - "language": "python", - "metadata": {}, - "outputs": [] + "prompt_number": 13 }, { "cell_type": "code", @@ -3143,10 +3259,14 @@ "plt.grid()\n", "plt.xscale('log')\n", "plt.yscale('log')\n", - "ftext = 'Cython % is {:.2f}x faster than (C)Python'\\\n", - " .format(times_n['py_lstsqr'][-1]\\\n", - " /times_n['cy_lstsqr'][-1])\n", - "plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n", + "max_perf = max( py/nu for py,nu in zip(times_n['py_lstsqr'],\n", + " times_n['cy_lstsqr']) )\n", + "min_perf = min( py/nu for py,nu in zip(times_n['py_lstsqr'],\n", + " times_n['cy_lstsqr']) )\n", + "\n", + "ftext = 'Using Cython is {:.2f}x to '\\\n", + " '{:.2f}x faster than regular (C)Python'\\\n", + " .format(min_perf, max_perf)\n", "plt.title('Performance of least square fit implementations in Cython and (C)Python')\n", "plt.show()" ], @@ -3156,13 +3276,364 @@ { "metadata": {}, "output_type": "display_data", - "png": 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JGhoavI7ytMXKhM2RK4W4uDhoa2tDU1MTLi4usLOzw5YtW/Ds2TP8+++/mDhxIrS1tfm/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\nh98p/E7pLHv+jIvMW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Ugo2NDR4+fKjSdWGMMcYYKw1PT09cvny5xPOpfYxc/nbk7du3oampKXdXnKen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qXC/PnzsWrVKvTs2VPK8InoISqNCkcyj+BCwQVxzFHhiInhE/Fs0LNcSiUisjBZllZXrlyJ/Px8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\nWiUiIiJSKB6RIyIiI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"text": [ - "" + "" ] } ], - "prompt_number": 67 + "prompt_number": 14 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "
\n", + "
\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Numba vs regular (C)Python & Numpy" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Numba is using the [LLVM compiler infrastructure](http://llvm.org) for compiling Python code to machine code. Its strength is to work with NumPy arrays to speed-up the code. If you want to read more about Numba, please see refer to the original [website and documentation](http://numba.pydata.org/numba-doc/0.13/index.html)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here, we implement a linear regression via least squares fitting (with vertical offsets) by solving to fit *n* points $(x_i, y_i)$ with $i=1,2,...n,$ via linear equation of the form \n", + "$f(x) = a\\cdot x + b$. \n", + "\n", + "\n", + "\n", + "$\\Rightarrow \\pmb a = (\\pmb X^T \\; \\pmb X)^{-1} \\pmb X^T \\; \\pmb y$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I have described the approach in more detail in this [IPython notebook](http://sebastianraschka.com/IPython_htmls/cython_least_squares.html)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Matrix equation " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In order to obtain the parameters for the linear regression line for a set of multiple points, we can re-write the problem as matrix equation \n", + "$\\pmb X \\; \\pmb a = \\pmb y$ \n", + "\n", + "$\\Rightarrow\\Bigg[ \\begin{array}{cc}\n", + "x_1 & 1 \\\\\n", + "... & 1 \\\\\n", + "x_n & 1 \\end{array} \\Bigg]$\n", + "$\\bigg[ \\begin{array}{c}\n", + "a \\\\\n", + "b \\end{array} \\bigg]$\n", + "$=\\Bigg[ \\begin{array}{c}\n", + "y_1 \\\\\n", + "... \\\\\n", + "y_n \\end{array} \\Bigg]$ \n", + "\n", + "With a little bit of calculus, we can rearrange the term in order to obtain the parameter vector \n", + "$\\pmb a = [a\\;b]^T$ \n", + "\n", + "We will implement this matrix equation in \n", + "- `py_mat_lstsqr()` and \n", + "- `numba_mat_lstqrs()`" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Classic approach" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the more \"classic\" approach that is often found in statistics textbooks, we calculate the following parameters as follows:\n", + "\n", + "$a = \\frac{S_{x,y}}{\\sigma_{x}^{2}}\\quad$ (slope)\n", + "\n", + "$b = \\bar{y} - a\\bar{x}\\quad$ (y-axis intercept)\n", + "\n", + "where \n", + "\n", + "\n", + "$S_{xy} = \\sum_{i=1}^{n} (x_i - \\bar{x})(y_i - \\bar{y})\\quad$ (covariance)\n", + "\n", + "\n", + "$\\sigma{_x}^{2} = \\sum_{i=1}^{n} (x_i - \\bar{x})^2\\quad$ (variance)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We will implement this \"classic\" approach in\n", + "- `py_lstsqr()` and \n", + "- `numba_lstqrs()`" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import numpy as np\n", + "\n", + "def py_mat_lstsqr(x, y):\n", + " \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n", + " X = np.vstack([x, np.ones(len(x))]).T\n", + " return (np.linalg.inv(X.T.dot(X)).dot(X.T)).dot(y)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 23 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from numba import jit\n", + "\n", + "@jit\n", + "def numba_mat_lstsqr(x, y):\n", + " \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n", + " X = np.vstack([x, np.ones(len(x))]).T\n", + " return (np.linalg.inv(X.T.dot(X)).dot(X.T)).dot(y)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 24 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def py_lstsqr(x, y):\n", + " \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n", + " x_avg = sum(x)/len(x)\n", + " y_avg = sum(y)/len(y)\n", + " var_x = 0\n", + " cov_xy = 0\n", + " for x_i, y_i in zip(x,y):\n", + " temp = (x_i - x_avg)\n", + " var_x += temp**2\n", + " cov_xy += temp*(y_i - y_avg)\n", + " slope = cov_xy / var_x\n", + " y_interc = y_avg - slope*x_avg\n", + " return (slope, y_interc)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 25 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "@jit\n", + "def numba_lstsqr(x, y):\n", + " \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n", + " x_avg = sum(x)/len(x)\n", + " y_avg = sum(y)/len(y)\n", + " var_x = 0\n", + " cov_xy = 0\n", + " for x_i, y_i in zip(x,y):\n", + " temp = (x_i - x_avg)\n", + " var_x += temp**2\n", + " cov_xy += temp*(y_i - y_avg)\n", + " slope = cov_xy / var_x\n", + " y_interc = y_avg - slope*x_avg\n", + " return (slope, y_interc)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 26 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Verifying that both approaches yield the same results" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import random\n", + "random.seed(12345)\n", + "\n", + "n = 500\n", + "x = [x_i*random.randrange(8,12)/10 for x_i in range(n)]\n", + "y = [y_i*random.randrange(10,14)/10 for y_i in range(n)]\n", + "\n", + "np.testing.assert_array_almost_equal(py_lstsqr(x, y),\n", + " py_mat_lstsqr(x, y), decimal=6)" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Visual checking the least square fit" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from matplotlib import pyplot as plt\n", + "\n", + "slope, intercept = py_mat_lstsqr(x, y)\n", + "\n", + "line_x = [round(min(x)) - 1, round(max(x)) + 1]\n", + "line_y = [slope*x_i + intercept for x_i in line_x]\n", + "\n", + "plt.figure(figsize=(7,6))\n", + "plt.scatter(x,y)\n", + "plt.plot(line_x, line_y, color='red', lw='2')\n", + "\n", + "plt.ylabel('y')\n", + "plt.xlabel('x')\n", + "plt.title('Linear regression via least squares fit')\n", + "\n", + "ftext = 'y = ax + b = {:.3f} + {:.3f}x'\\\n", + " .format(slope, intercept)\n", + "plt.figtext(.15,.8, ftext, fontsize=11, ha='left')\n", + "\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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c12Aw4OPjw6FDh/D19eXw4cNZ0oOCgjh06JDF2vb+++/TtWtXPDw8CAgIoGLF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\nH6dkyZIEBwdTs2ZNVq9enbk+L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+ "text": [ + "" + ] + } + ], + "prompt_number": 45 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import timeit\n", + "import random\n", + "random.seed(12345)\n", + "\n", + "funcs = ['py_mat_lstsqr', 'numba_mat_lstsqr', \n", + " 'py_lstsqr', 'numba_lstsqr']\n", + "\n", + "orders_n = [10**n for n in range(1, 6)]\n", + "times_n = {f:[] for f in funcs}\n", + "\n", + "for n in orders_n:\n", + " x = np.asarray([x_i*np.random.randint(8,12)/10 for x_i in range(n)])\n", + " y = np.asarray([y_i*np.random.randint(10,14)/10 for y_i in range(n)])\n", + " for f in funcs:\n", + " times_n[f].append(min(timeit.Timer('%s(x,y)' %f, \n", + " 'from __main__ import %s, x, y' %f)\n", + " .repeat(repeat=3, number=1000)))" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 28 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", + "\n", + "labels = [('py_mat_lstsqr', 'matrix equation in reg. (C)Python & Numpy'), \n", + " ('numba_mat_lstsqr', 'matrix equation in Numba'),\n", + " ('py_lstsqr', '\"classic least squares in reg. (C)Python'),\n", + " ('numba_lstsqr', 'classic least squares in Numba'),]\n", + "\n", + "\n", + "matplotlib.rcParams.update({'font.size': 12})\n", + "\n", + "fig = plt.figure(figsize=(10,8))\n", + "for lb in labels:\n", + " plt.plot(orders_n, times_n[lb[0]], alpha=0.5, label=lb[1], marker='o', lw=3)\n", + "plt.xlabel('sample size n')\n", + "plt.ylabel('time per computation in milliseconds [ms]')\n", + "plt.xlim([1,max(orders_n) + max(orders_n) * 10])\n", + "plt.legend(loc=2)\n", + "plt.grid()\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "\n", + "#max_perf = max( py/nu for py,nu in zip(times_n['py_lstsqr'],\n", + "# times_n['numba_lstsqr']) )\n", + "#min_perf = min( py/nu for py,nu in zip(times_n['py_lstsqr'],\n", + "# times_n['numba_lstsqr']) )\n", + "#\n", + "#ftext = 'Using Numba is {:.2f}x to '\\\n", + "# '{:.2f}x faster than regular (C)Python and Numpy'\\\n", + "# .format(min_perf, max_perf)\n", + "\n", + "plt.figtext(.14,.15, ftext, fontsize=11, ha='left')\n", + "plt.title('Performance of least square fit implementations in Numba and (C)Python+Numpy')\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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xdQ0A+/fvx/fff48xY8agRo0a6NixI/7++284ODgUa/eiwszNzTF79mzMmTMH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\nF/MtP+ZcXnwOHxERERE1qGY3hi85ORmzZs2CkZER7O3tsXHjx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