From f5e08cde14ed95fd6174dcad848305821751c2c7 Mon Sep 17 00:00:00 2001 From: rasbt Date: Mon, 5 May 2014 01:44:10 -0400 Subject: [PATCH] section on growth rates for different sample sizes --- .../cython_least_squares-checkpoint.ipynb | 86 ++++++++++++++++++- benchmarks/cython_least_squares.ipynb | 86 ++++++++++++++++++- 2 files changed, 170 insertions(+), 2 deletions(-) diff --git a/benchmarks/.ipynb_checkpoints/cython_least_squares-checkpoint.ipynb b/benchmarks/.ipynb_checkpoints/cython_least_squares-checkpoint.ipynb index e28d5c5..3032c66 100644 --- a/benchmarks/.ipynb_checkpoints/cython_least_squares-checkpoint.ipynb +++ b/benchmarks/.ipynb_checkpoints/cython_least_squares-checkpoint.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:ed0de0773556cdc26dc372038810ad0e5322ec915298a90f2badf09740d856db" + "signature": "sha256:a091baac3cb82ac71775c03f73be1925fefe2d659bb7359de4bb88887fbe7d24" }, "nbformat": 3, "nbformat_minor": 0, @@ -69,6 +69,7 @@ "- [Least squares fit implementations](#implementations)\n", "- [Generating sample data and benchmarking](#sample_data)\n", "- [Compiling the Python code via Cython in the IPython notebook](#cython_nb)\n", + "- [Performance growth rates for different sample sizes](#sample_sizes)\n", "- [Bonus: How to use Cython without the IPython magic](#cython_bonus)" ] }, @@ -956,6 +957,89 @@ ], "prompt_number": 19 }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "
\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Performance growth rates for different sample sizes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the plot above, we've seen how the different implemantations perform for a fixed sample size n=500. Now, let us take a look at the effect of the sample size on the relative performances for each approach. We will consider the sample sizes 10, 100, 1000, 10000, 100000, and 1000000." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import timeit\n", + "\n", + "funcs = ['cy_classic_lstsqr', \n", + " 'lin_lstsqr_mat', 'numpy_lstsqr', 'scipy_lstsqr']\n", + "labels = ['classic approach (cython)', 'matrix approach', \n", + " 'numpy function', 'scipy function']\n", + "orders_n = [10**n for n in range(1, 7)]\n", + "times_n = {f:[] for f in funcs}\n", + "\n", + "for n in orders_n:\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", + " for f in funcs:\n", + " times_n[f].append(timeit.Timer('%s(x,y)' %f, \n", + " 'from __main__ import %s, x, y' %f).timeit(1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 23 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#%pylab inline\n", + "#import matplotlib.pyplot as plt\n", + "\n", + "plt.figure(figsize=(10,8))\n", + "\n", + "for f in times_n.keys():\n", + " plt.plot(orders_n, times_n[f], alpha=0.5, label=f, marker='o', lw=2)\n", + "\n", + "plt.xlabel('sample size n')\n", + "plt.ylabel('time in ms')\n", + "plt.xlim([0,max(orders_n) + max(orders_n) * 0.1])\n", + "plt.legend(loc=2)\n", + "\n", + "\n", + "plt.title('Performance of least square fit implementations for different sample sizes')\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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ms7KylM5xjffxts4tDddZ/bZvr7CwMKSkpMDT0xNDhw7F8ePHAQAymQwrV66Em5sbDA0N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\nvMrLgJgBLM9ZTnRo9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+ "text": [ + "" + ] + } + ], + "prompt_number": 41 + }, { "cell_type": "markdown", "metadata": {}, diff --git a/benchmarks/cython_least_squares.ipynb b/benchmarks/cython_least_squares.ipynb index e28d5c5..3032c66 100644 --- a/benchmarks/cython_least_squares.ipynb +++ b/benchmarks/cython_least_squares.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:ed0de0773556cdc26dc372038810ad0e5322ec915298a90f2badf09740d856db" + "signature": "sha256:a091baac3cb82ac71775c03f73be1925fefe2d659bb7359de4bb88887fbe7d24" }, "nbformat": 3, "nbformat_minor": 0, @@ -69,6 +69,7 @@ "- [Least squares fit implementations](#implementations)\n", "- [Generating sample data and benchmarking](#sample_data)\n", "- [Compiling the Python code via Cython in the IPython notebook](#cython_nb)\n", + "- [Performance growth rates for different sample sizes](#sample_sizes)\n", "- [Bonus: How to use Cython without the IPython magic](#cython_bonus)" ] }, @@ -956,6 +957,89 @@ ], "prompt_number": 19 }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "
\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Performance growth rates for different sample sizes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the plot above, we've seen how the different implemantations perform for a fixed sample size n=500. Now, let us take a look at the effect of the sample size on the relative performances for each approach. We will consider the sample sizes 10, 100, 1000, 10000, 100000, and 1000000." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import timeit\n", + "\n", + "funcs = ['cy_classic_lstsqr', \n", + " 'lin_lstsqr_mat', 'numpy_lstsqr', 'scipy_lstsqr']\n", + "labels = ['classic approach (cython)', 'matrix approach', \n", + " 'numpy function', 'scipy function']\n", + "orders_n = [10**n for n in range(1, 7)]\n", + "times_n = {f:[] for f in funcs}\n", + "\n", + "for n in orders_n:\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", + " for f in funcs:\n", + " times_n[f].append(timeit.Timer('%s(x,y)' %f, \n", + " 'from __main__ import %s, x, y' %f).timeit(1000))" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 23 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#%pylab inline\n", + "#import matplotlib.pyplot as plt\n", + "\n", + "plt.figure(figsize=(10,8))\n", + "\n", + "for f in times_n.keys():\n", + " plt.plot(orders_n, times_n[f], alpha=0.5, label=f, marker='o', lw=2)\n", + "\n", + "plt.xlabel('sample size n')\n", + "plt.ylabel('time in ms')\n", + "plt.xlim([0,max(orders_n) + max(orders_n) * 0.1])\n", + "plt.legend(loc=2)\n", + "\n", + "\n", + "plt.title('Performance of least square fit implementations for different sample sizes')\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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ms7KylM5xjffxts4tDddZ/bZvr7CwMKSkpMDT0xNDhw7F8ePHAQAymQwrV66Em5sbDA0N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\nNZWVK1eye/duXnrpJbkuAZSSk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