{ "metadata": { "celltoolbar": "Slideshow", "name": "", "signature": "sha256:fb882e54fe9f1a96c752b93b8035828e9126d0dcd0c0db887b31823fce2b7e0d" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "

The Butterfly Algorithm

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "

Danny Hermes (dhermes)

\n", "\n", "
\n", " \n", "
\n", "\n", "

February 11, 2015

\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "You can find the [source][1] of these slides on GitHub.\n", "\n", "[1]: https://github.com/dhermes/butterfly-algorithm" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "from make_partition_plots import make_butterfly\n", "make_butterfly()" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAHMCAYAAABY25iGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Outline\n", "\n", "- Background for Butterfly\n", "- Motivation from DFT\n", "- Details of Algorithm and Speedup\n", "- Code and Comparison" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "

Setting the Stage

" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}(\\xi) = \\mathcal{F}f(\\xi) = \\int_{\\mathbb{R}} \\text{exp}\\left(- 2 \\pi x \\xi \\sqrt{-1}\\right) f(x) \\, dx$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}_k = \\sum_{j = 0}^{N - 1} \\text{exp}\\left(- \\frac{2 \\pi k j \\sqrt{-1}}{N}\\right) f_j$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython import display\n", "\n", "display.Audio(filename='resources/bluewhale.wav')" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Blue" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "\n", "def load_whale():\n", " # http://www.mathworks.com/help/matlab/math/fast-fourier-transform-fft.html\n", " data = np.load('resources/bluewhale.npz')\n", " X = data['X']\n", " sampling_rate = int(data['rate'])\n", "\n", " blue_whale_begin = 24500 - 1\n", " blue_whale_end = 31000 - 1\n", "\n", " blue_whale_call = X[blue_whale_begin:blue_whale_end + 1]\n", " size_call = len(blue_whale_call)\n", "\n", " # Pad signal with zeros up to the next power of 2.\n", " N = int(2**np.ceil(np.log2(size_call)))\n", "\n", " blue_whale_call = np.hstack([\n", " blue_whale_call,\n", " np.zeros(N - len(blue_whale_call)),\n", " ])\n", " return sampling_rate, blue_whale_call" ], "language": "python", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "sampling_rate, blue_whale_call = load_whale()\n", "\n", "N = len(blue_whale_call)\n", "time_base = np.arange(N) * 10.0 / sampling_rate" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib import pyplot as plt\n", "\n", "\n", "plt.plot(time_base, blue_whale_call)\n", "plt.title('Blue Whale B Call')\n", "plt.xlim((time_base[0], time_base[-1]))\n", "plt.xlabel('Time (seconds)')\n", "plt.ylabel('Amplitude')\n", "plt.show()" ], "language": "python", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEZCAYAAACTsIJzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n2NOoMvsfAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "import time\n", "\n", "\n", "start = time.time()\n", "dft_whale_call = np.fft.fft(blue_whale_call, n=N)\n", "fft_duration = time.time() - start\n", "\n", "message = r'\\text{Duration with FFT optimized: } %2.10f' % (fft_duration,)\n", "display.display(display.Math(message))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "latex": [ "$$\\text{Duration with FFT optimized: } 0.0009500980$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "re_sampled_time = np.arange(len(dft_whale_call)) * sampling_rate / (10.0 * N)\n", "amplitude = np.abs(dft_whale_call) / N\n", "\n", "plt.plot(re_sampled_time[:N/2], amplitude[:N/2])\n", "\n", "plt.xlabel('Frequency (Hz)')\n", "plt.ylabel('Amplitude')\n", "plt.title('Component Frequencies')\n", "plt.show()" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZQAAAEZCAYAAACw69OmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# From DFT to Butterflies\n", "\n", "\"Real" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}_k = \\sum_{j = 0}^{N - 1} K(t_k, s_j) \\, f_j$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from make_partition_plots import get_random_intervals\n", "from make_partition_plots import naive_interaction\n", "\n", "\n", "S_VALUES, T_VALUES = get_random_intervals(16)\n", "naive_interaction(S_VALUES, T_VALUES, N=16)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAf4AAAHgCAYAAABEsw/OAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}(t) = \\sum_{s} K(t, s) \\, D(s)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# DFT as Butterfly\n", "\n", "$$t_k = 2 \\pi k, \\quad s_j = \\frac{j}{N}, \\quad K(t, s) = e^{- t s \\sqrt{-1}}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Naive gets Quadratic\n", "\n", "We see that in the most naive implementation, the runtime is quadratic." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def compute_f_hat(f, t, s, kernel_func):\n", " f_hat = np.zeros(f.shape, dtype=np.complex128)\n", " for k in xrange(len(f)):\n", " # Vectorized update.\n", " f_hat[k] = np.sum(kernel_func(t[k], s) * f)\n", "\n", " return f_hat" ], "language": "python", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "# We expect a \"slowdown factor\" of N / log N\n", "expected_quadratic = fft_duration * N / np.log2(N)\n", "\n", "message = r'\\text{Expected Quadratic Run-time: } %2.10f' % (expected_quadratic,)\n", "display.display(display.Math(message))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "latex": [ "$$\\text{Expected Quadratic Run-time: } 0.5987079327$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "N_vals = np.arange(N, dtype=np.float64)\n", "t = 2 * np.pi * N_vals\n", "s = N_vals / N\n", "\n", "\n", "def dft_kernel(t, s):\n", " return np.exp(- 1.0j * t * s)\n", "\n", "\n", "start = time.time()\n", "f_hat = compute_f_hat(blue_whale_call, t, s, dft_kernel)\n", "naive_duration = time.time() - start\n", "\n", "message = r'\\text{Actual Naive Duration: } %2.10f' % (naive_duration,)\n", "display.display(display.Math(message))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "latex": [ "$$\\text{Actual Naive Duration: } 7.0778009892$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Is the naive implementation correct?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "error = np.linalg.norm(f_hat - dft_whale_call, ord=2)\n", "\n", "sig, exponent = str(error).split('e')\n", "expr = r'\\|e\\|_2 = %s \\cdot 10^{%s}' % (sig, exponent)\n", "display.display(display.Math(expr))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "latex": [ "$$\\|e\\|_2 = 3.65989629865 \\cdot 10^{-10}$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "

Doing Better than Quadratic

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "naive_interaction(S_VALUES, T_VALUES, N=16)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAf4AAAHgCAYAAABEsw/OAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "from make_partition_plots import binned_interaction\n", "binned_interaction(S_VALUES, T_VALUES, L=2)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAhQAAAHgCAYAAAD9kfR3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}(t) = \\sum_{s} K(t, s) \\, D(s) \\approx \\sum_{\\widehat{s}} K' \\left(t, \\widehat{s}\\right) D\\left(\\widehat{s}\\right)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\mathbf{\\text{DFT: }} s_j = \\frac{j}{N} \\in \\left[0, 1\\right), \\quad\n", "2^L \\text{ segments} \\Longrightarrow \\sigma_{j} = \\frac{2j + 1}{2^{L + 1}}$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from make_partition_plots import make_1D_centers\n", "make_1D_centers(L=2, s_values=S_VALUES)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAABNCAYAAACBmS1HAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAACcpJREFUeJzt3VuMnHUZx/HvU1qh7WItVgSReihGkzYhMWiaEKQahWWJ\nF14IFRMSSImHSAVRQyKwJcYzhqQt8UrEE4cLboxgTTxUxBAvNJIgVMupbUSFCgg9UBAeL2YWZrcz\n293Zfef9v9PvJ5lM+s68u7955sl/npl9521kJpIkSVKJFtQdQJIkSerFYVWSJEnFcliVJElSsRxW\nJUmSVCyHVUmSJBXLYVWSJEnFcliVJElSsRxWJUmSVCyHVUmSJBXLYVWSJEnFcliVJElSsRxWJUmS\nVCyHVUmSJBXLYVWSJEnFcliVJElSsRxWJUmSVCyHVUmSJBXLYVWSJEnFcliVJElSsRxWJUmSVCyH\nVUmSJBXLYVWSJEnFcliVJElSsRxWJUmSVCyHVUmSJBXLYVWSJEnFKnZYjYh1dWfQ8LK/VCX7S1Wy\nv1SlEvur2GEVWFd3AA21dXUH0FBbV3cADbV1dQfQUFtXd4CpSh5WJUmSdJRzWJUkSVKxHFYlSZJU\nLIdVSZIkFcthVZIkScVaWHeA+RKxZgxO3QjHHwfPvwB7Nmc+cHfduWZiLtnXRIydChuPh+Oehxf2\nwOYHMqfdtym1GkTOptSiStPVoJ/+msvvK8Ww9l5ptX9LnDD+Nl753FJi0X7ypV0s2PpEPn19XXm6\nKa1mM9HEzPOl87EvY8fIe3koVvC/53utX9aqIY89M4u8AJtmft/VY7BhJ2S+dtmwE1aP1f04qsy+\nGsY2wM6OHXMD7FwNPfdtSq2qzglsakot6qpzP/1V9/NaSu8daf2qow6l1f5klo+vZ+TFzv5az8iL\nJ7N8vO4eKLVmM+mvUjMP+vka4ed5Aas6i3DY+mWtuj/22cxfA8tbd4DehZzNsDq6bXLBJy7n/aLu\nx1Fl9lHY1mXHPA967tuUWlWdszWsNqMWddW5n/6q+3ktpfeOPKwOvg6l1X4ty57q1l9rWfZU3T1Q\nas1m0l+lZh7083UG53QrwqT1y1p1f+wlDqslHwYwHhHjM7vr2T22HxiNiJy3RJXoP3vPPWGafZtS\nq0HkPDiA31G63nXuWZ1p+6v/31dOzecn4/TrVx11KKv2Z7Os6/ZjYcWw9UIVevdXuZmr99pjX8qh\nrveYvH5Zq8MdGAVGgU2Dy3JkJX/B6vrMjJlcYPEvu/+IJdtm+jPquswl+2Louu8S6LlvU2pVdU7g\n+qbUoq4699NfdT+vpfQeR1i/6qhDabU/BHu7pTkEe+vugVJrNpP+KjXzoJ+v/RzbvQod65e16v7Y\ngaKOG4eyh9VZ2LMZLnt48rYNj8DuLfXkmY3+s++BzZfBpH03wCO7YZp9m1KrQeRsSi2q1LsG/fVX\n/7+v/58534a198qq/S4WbP0EIy91blvP0pd2sWBrHXm6K6tmM9PEzPPltce+g41cyKpJtx6+flmr\nydvKfeyRWeYn3RGxKTM3zfz+a8Zg5eUwshj2HYTdW4r9VtsUc8m+JmJsJVw+Aov3wcHdsGVmZwMo\nv1ZV5pzor6bUokrT1aCf/prL7yvFXDPOZP2qow6l1b45ZwMop2atTNP3V4mZB6XzsS9jx9L22QD2\n9Vq/rNXhj32289cgDM2wKs2G/aUq2V+qkv2lKpXYX0NyGIAkSZKGkcOqJEmSiuWwKkmSpGI5rEqS\nJKlYDquSJEkqVsnD6va6A2ioba87gIba9roDaKhtrzuAhtr2ugNMVeypqyRJkqSSP1mVJEnSUc5h\nVdK0ImJtRPwsIp6OiFd6XK6tO6eayf6SdCQOq0PAxV5ViYgrgXuB84ED7QvAi8CO9uVB4C+1BFSj\n2V+qmq+Pw2Fh3QE0N+3F/jtAAP8EXgcsobXYP9q+2yu42GuWIuJi4LvAb4ANmfl4RCwGbgPGgI9k\n5j/qzKjmsr9UNV8fh4dfsGqw9mJ/C70X+3e42KsfEXES8Pf25czMPNRx2/uAP9LquZtriqgGs79U\nNV8fh4uHATRUe7HfCvwZOD8zHwfIzIPA12h9an5ubQHVdFcBI8BVnYNE28H29YrBRtIQsb9UGV8f\nh4/DanO52KtKFwKPZubvutx2Wvv6iW47RsRZEfFgZck0DGbdXxGxOCLGI+KmiNgeEbdHxMrKk6qJ\nfH0cMh6z2lx9DRMR8SVgJfAMsAq4MjOfrCylGicilgNvBX7U4y7nAi8Dv5qy30XAh4HjgfdUmVHN\n1W9/AdcC38vMPe2f8wPgDxFxemY+XVVeNVI/b4aWAJcCJ9I6rnUV8JXM9I13AfxktYE6Fvt7e9yl\n1zDxaWA0My/PzOuAe4A7q8yqRppYFw47nqvde58E7sjMf3Xelpm3ZualwF3VR1SDzbq/IuI4YCOt\nYWLC14FTgEuqi6qm6ff1EfgmMJaZ12XmF4FdwG8j4vWVhdWMOaw2U1/DBHA1rQPOJ/wEWBsRZ1YR\nUs2Umf+h9U3ZN3W5+QZapxf6wkBDaWj02V/HAHuBxR3bdrevV813RjVav6+PL9P6VHXC32j16Lur\nCKnZcVhtoH4W+4h4F60///+14+fsp/Xu8UOVhVVTjQMXRMRpABGxMCK+CowC53joiOZoVv2Vmfsz\n8+2ZeXXH5ne2rx9Fauv3zXZmXpmZZ3RsOg3YBzxURU7NjsesNtc4cFNEfDszH46Ihe1tvYaJieN0\nnpuy/TlaQ6z0qsz8aUQkcFtEHKB1fsJ7gNWZ+Wy96dR089RfFwFPAt+vKKaaa7avj5O0//T/ceBT\nmbmv+rg6EofVhupjsV/evt4/ZfuBjtukV2XmrcCtdefQcJpLf7XPAvAZ4OLMfGZeg6nx+n0z1D42\n+vPAWmALcPsg8urIHFYbbJaL/ctTricsxD6Q1BARsQi4mdanXnfXnUdl6ufNUGa+AHwLICJupPUF\nq9H2dtXIY1aPHk+1r6c+50uB/w44iyT160bghsy8EyAi/IKVqnAT8AHgy3UHkcPq0eSx9vWbp2w/\nAb+gIKkBIuIK4K7M3Nb+9yJgfb2p1HQRcVJEPBER13VsnjjbxPvryKTJ/PPvUSIzH4uIh2mdrP1+\ngIg4ETiZ1v+dLM2XBQAREZmZdYfRcIiIjwEfBY6NiNPbm08B7qsvlYbESe3LGzq2TZxNwA9zCuCw\nenS5BbgYuKP970uA+zLz97Ul0tCIiDFaJ20/C0jgT+3/dvWzmTn1LBTSjEXEG4Ef0zrP6gc7bkrg\nh7WE0jC5H/g1sLVj2wXAs7QOO1HNwg8+jh4RcQzwDVr/ldxeWic7viIz/11rMEmSatR+Q3QNsKh9\nWQFck5meZ7UADquSJEkqll+wkiRJUrEcViVJklQsh1VJkiQVy2FVkiRJxXJYlSRJUrEcViVJklQs\nh1VJkiQVy2FVkiRJxfo/7vAs/MG0/i4AAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$K(t, s) = e^{- t s \\sqrt{-1}}, \\, ts = t \\sigma + t (s - \\sigma) \\Longrightarrow K(t, s) = K(t, \\sigma) K(t, s - \\sigma)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}(t) = \\sum_{\\sigma} K(t, \\sigma) \\left[\\sum_{s \\in B(\\sigma)} K(t, s - \\sigma) D(s)\\right]$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}(t) = \\sum_{\\sigma} K(t, \\sigma) \\underbrace{\\left[\\sum_{s \\in B(\\sigma)} K(t, s - \\sigma) D(s)\\right]}_{D(\\sigma)}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}(t) = \\sum_{\\sigma} K(t, \\sigma) D(\\sigma)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Operation Count\n", "\n", "$$2^L \\text{ boxes}, \\quad 2^L = \\mathcal{O}\\left(N\\right), \\quad \\left|B(\\sigma)\\right| = \\mathcal{O}(1)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "------\n", "\n", "$$\\begin{align*}\n", "\\sum_{s \\in B(\\sigma)} K(t, s - \\sigma) D(s) &\\rightarrow \\mathcal{O}(1) \\\\\n", "\\widehat{f}_k &\\rightarrow \\mathcal{O}(N) \\\\\n", "\\widehat{f} &\\rightarrow \\mathcal{O}\\left(N^2\\right).\n", "\\end{align*}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# But We Want Better Than Quadratic\n", "\n", "$$K(t, s) \\approx \\sum_{\\alpha = 0}^{M - 1} T_{\\alpha}(t) S_{\\alpha}(s)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\text{exp}\\left(- t s \\sqrt{-1}\\right) \\approx \\sum_{\\alpha = 0}^{M - 1} \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} t^{\\alpha} s^{\\alpha}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}(t) \\approx \\sum_{\\sigma} K(t, \\sigma) \\sum_{s \\in B(\\sigma)} \\sum_{\\alpha = 0}^{M - 1} \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} t^{\\alpha} \\left(s - \\sigma\\right)^{\\alpha} D(s)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$K'(t, \\sigma, \\alpha) = K(t, \\sigma) t^{\\alpha}, \\quad D(\\sigma, \\alpha) = \\sum_{s \\in B(\\sigma)} \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} \\left(s - \\sigma\\right)^{\\alpha} D(s)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\\widehat{f}(t) = \\sum_{\\sigma, \\alpha} K'(t, \\sigma, \\alpha) D(\\sigma, \\alpha)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$K(t, s - \\sigma) \\approx \\sum_{\\alpha = 0}^{M - 1} \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} t^{\\alpha} \\left(s - \\sigma\\right)^{\\alpha} \\text{ when } \\left|t\\right| \\gg 1$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$K(t - \\tau, s - \\sigma) \\approx \\sum_{\\alpha = 0}^{M - 1} \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} (t - \\tau)^{\\alpha} \\left(s - \\sigma\\right)^{\\alpha} \\text{ for } t \\in B(\\tau)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\left|(t - \\tau)(s - \\sigma)\\right| \\leq r_{\\tau} r_{\\sigma} \\text{ uniformly bounded}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Partitioning the Inputs\n", "\n", "- $\\mathbb{R}$: binary tree\n", "- $\\mathbb{R}^2$ / $\\mathbb{C}$: quadtree \n", "- $\\mathbb{R}^k$: [k-d tree][1]\n", "\n", "[1]: http://en.wikipedia.org/wiki/K-d_tree" ] }, { "cell_type": "code", "collapsed": false, "input": [ "make_butterfly(L=4, level=0)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAAGiCAYAAADA/I+kAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "make_butterfly(L=4, level=1)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAAGiCAYAAADA/I+kAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "make_butterfly(L=4, level=2)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAAGiCAYAAADA/I+kAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "make_butterfly(L=4, level=3)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAAGiCAYAAADA/I+kAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nADRLrAIA0Kz/D+SojdVzk0NYAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "make_butterfly(L=4, level=4)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAAGiCAYAAADA/I+kAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwOQWm4oAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\left|(t - \\tau)(s - \\sigma)\\right| \\leq r_{\\tau} r_{\\sigma} \\text{ uniformly bounded}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$K(t - \\tau, s - \\sigma)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}(t) \\approx \\sum_{\\sigma} K(t, \\sigma) \\sum_{s \\in B(\\sigma)} \\sum_{\\alpha = 0}^{M - 1} \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} t^{\\alpha} \\left(s - \\sigma\\right)^{\\alpha} D(s) \\text{ when } \\left|t\\right| \\gg 1$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\\widehat{f}(t) \\approx \\sum_{\\sigma} \\cdots \\sum_{s \\in B(\\sigma)} \\sum_{\\alpha = 0}^{M - 1} \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} (t - \\tau)^{\\alpha} \\left(s - \\sigma\\right)^{\\alpha} D(s)$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import sympy\n", "\n", "\n", "t, s, tau, sigma = sympy.symbols('t s tau sigma')\n", "RHS = tau * sigma + tau * (s - sigma) + sigma * (t - tau) + (s - sigma) * (t - tau)\n", "display.display(display.Math(sympy.latex(RHS)))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "latex": [ "$$\\sigma \\tau + \\sigma \\left(t - \\tau\\right) + \\tau \\left(s - \\sigma\\right) + \\left(s - \\sigma\\right) \\left(t - \\tau\\right)$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "display.display(display.Math(sympy.latex(RHS.simplify())))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "latex": [ "$$s t$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$K(t, s) = K(\\tau, \\sigma) K(t - \\tau, \\sigma) K(\\tau, s - \\sigma) K(t - \\tau, s - \\sigma)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$K(t, s) \\approx K(\\tau, \\sigma) K(t - \\tau, \\sigma) K(\\tau, s - \\sigma) \\sum_{\\alpha = 0}^{M - 1} \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} (t - \\tau)^{\\alpha} \\left(s - \\sigma\\right)^{\\alpha}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$K'(t, \\sigma, \\alpha) = K(t - \\tau, \\sigma) (t - \\tau)^{\\alpha}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$D(\\tau, \\sigma, \\alpha) = \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} K(\\tau, \\sigma) \\sum_{s \\in B(\\sigma)} K(\\tau, s - \\sigma) \\left(s - \\sigma\\right)^{\\alpha} D(s)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}(t) = \\sum_{\\sigma, \\alpha} K'(t, \\sigma, \\alpha) D(\\tau, \\sigma, \\alpha)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "

Are we there yet?

" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Computing $D\\left(\\tau, \\sigma, \\alpha\\right)$\n", "\n", "- $M$ choices of $\\alpha$\n", "- $2^{\\ell}$ choices of $\\tau$\n", "- $2^{L - \\ell}$ choices of $\\sigma$\n", "\n", "In total: $M \\cdot 2^L = \\mathcal{O}\\left(N\\right)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We start with $\\ell = 0$ and consider what it might take to compute." ] }, { "cell_type": "code", "collapsed": false, "input": [ "make_butterfly(L=4, level=0)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAAGiCAYAAADA/I+kAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Counting Operations: $\\ell = 0$\n", "\n", "• $\\left|\\left\\{B(\\tau)\\right\\}_{\\tau}\\right| = 1$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "• $\\left|\\left\\{B(\\sigma)\\right\\}_{\\sigma}\\right| = 2^L = \\mathcal{O}(N)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "• $\\left|\\left\\{D(\\tau, \\sigma, \\alpha)\\right\\}_{\\tau, \\sigma, \\alpha}\\right| = \\mathcal{O}(N)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "• $\\widehat{f}(t) = \\displaystyle \\sum_{\\sigma, \\alpha} K'(t, \\sigma, \\alpha) D(\\tau, \\sigma, \\alpha)$ takes $\\mathcal{O}(N)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "• **Total**: $\\mathcal{O}\\left(N^2\\right)$ since $D(\\tau, \\sigma, \\alpha) = \\displaystyle \\sum_{s \\in B(\\sigma)} \\cdots$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Instead we consider the **end** where $\\ell = L$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "make_butterfly(L=4, level=4)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAAGiCAYAAADA/I+kAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwOQWm4oAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Counting Operations: $\\ell = L$\n", "\n", "• $\\left|\\left\\{B(\\tau)\\right\\}_{\\tau}\\right| = 2^L = \\mathcal{O}(N)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "• $\\left|\\left\\{B(\\sigma)\\right\\}_{\\sigma}\\right| = 1$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "• $\\widehat{f}(t) = \\displaystyle \\sum_{\\sigma, \\alpha} K'(t, \\sigma, \\alpha) D(\\tau, \\sigma, \\alpha)$ takes $\\mathcal{O}(1)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "• Now $D(\\tau, \\sigma, \\alpha) = \\displaystyle \\sum_{s \\in B(\\sigma)} \\cdots$ is $\\mathcal{O}(N)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "• **Total**: still $\\mathcal{O}\\left(N^2\\right)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Takeaway\n", "\n", "$$\\ell = 0 \\Longrightarrow \\sum_{s \\in B(\\sigma)} \\text{ is cheap } \\Longrightarrow D(\\tau, \\sigma, \\alpha) \\text{ is cheap}$$\n", "\n", "$$\\ell = L \\Longrightarrow \\sum_{\\sigma, \\alpha} \\text{ is cheap } \\Longrightarrow \\widehat{f}(t) \\text{ is cheap}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Now What\n", "\n", "$$\\left\\{D(\\tau, \\sigma, \\alpha)\\right\\}_{\\ell = 0} \\rightarrow \\cdots \\rightarrow \\left\\{D(\\tau, \\sigma, \\alpha)\\right\\}_{\\ell = L}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$D(\\tau, \\sigma, \\alpha) = \\frac{1}{\\alpha!} \\sum_{s \\in B(\\sigma)} K(\\tau, s) \\left(-\\sqrt{-1}\\right)^{\\alpha} (s - \\sigma)^{\\alpha} D(s)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$W = \\frac{\\max(s) - \\min(s)}{2^{L - \\ell}}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\\left[\\begin{matrix} s_0 \\\\ s_1 \\\\ \\vdots \\\\ s_{N - 1} \\end{matrix}\\right] \\mapsto\n", "\\left[\\begin{matrix} \\left\\lfloor\\frac{s_0 - \\min(s)}{W}\\right\\rfloor \\\\ \\left\\lfloor\\frac{s_1 - \\min(s)}{W}\\right\\rfloor \\\\ \\vdots \\\\ \\left\\lfloor\\frac{s_{N - 1} - \\min(s)}{W}\\right\\rfloor \\end{matrix}\\right] =\n", "\\left[\\begin{matrix} b_0 \\\\ b_1 \\\\ \\vdots \\\\ b_{N - 1} \\end{matrix}\\right] \\mapsto\n", "\\left[\\begin{matrix} \\sigma_0 + b_0 W \\\\ \\sigma_0 + b_1 W \\\\ \\vdots \\\\ \\sigma_0 + b_{N - 1} W \\end{matrix}\\right]$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def get_bins_and_deltas(vals, min_val, bin_width, num_bins):\n", " bin_indices = np.floor((vals - min_val) / bin_width)\n", " # max(vals) falls in the last bin\n", " bin_indices = np.minimum(bin_indices, num_bins - 1)\n", "\n", " bin_centers = min_val + (0.5 + bin_indices) * bin_width\n", " return bin_indices.astype(int), vals - bin_centers" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$D(\\tau, \\sigma, \\alpha) = \\frac{1}{\\alpha!} \\sum_{s \\in B(\\sigma)} K(\\tau, s) \\left(-\\sqrt{-1}\\right)^{\\alpha} (s - \\sigma)^{\\alpha} D(s)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\\left[\\begin{matrix} s_0 \\\\ s_1 \\\\ \\vdots \\\\ s_{N - 1} \\end{matrix}\\right] \\mapsto\n", "\\left[\\begin{matrix} s_0 - \\sigma(s_0) \\\\ s_1 - \\sigma(s_1) \\\\ \\vdots \\\\ s_{N - 1} - \\sigma\\left(s_{N - 1}\\right) \\end{matrix}\\right] = \\left[\\begin{matrix} d_0 \\\\ d_1 \\\\ \\vdots \\\\ d_{N - 1} \\end{matrix}\\right] \\mapsto\n", "\\left[\\begin{matrix} d_0^0 & d_0^1 & \\cdots & d_0^{M - 1} \\\\ d_1^0 & d_1^1 & \\cdots & d_1^{M - 1} \\\\ \\vdots & \\vdots & \\ddots & \\vdots \\\\ d_{N - 1}^0 & d_{N - 1}^1 & \\cdots & d_{N - 1}^{M - 1} \\end{matrix}\\right]$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def create_initial_data(s_values, min_s, max_s, tau,\n", " actual_data, num_bins, M):\n", " bin_width = (max_s - min_s) / float(num_bins)\n", " bin_indices, s_deltas = get_bins_and_deltas(s_values, min_s,\n", " bin_width, num_bins)\n", "\n", " sum_parts = np.zeros((len(s_values), M), dtype=np.complex128)\n", " sum_parts[:, 0] = dft_kernel(tau, s_values) * actual_data\n", "\n", " for alpha in xrange(1, M):\n", " sum_parts[:, alpha] = (sum_parts[:, alpha - 1] * s_deltas *\n", " (-1.0j) / alpha)\n", "\n", " result = []\n", " curr_sigma = min_s + 0.5 * bin_width\n", " for bin_index in xrange(num_bins):\n", " sum_across_bin = np.sum(\n", " sum_parts[np.where(bin_indices == bin_index)[0], :], axis=0)\n", " result.append((tau, curr_sigma, sum_across_bin.reshape(M, 1)))\n", " curr_sigma += bin_width\n", "\n", " return result" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\cdots \\rightarrow \\left\\{D(\\tau, \\sigma, \\alpha)\\right\\}_{\\ell = L}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\widehat{f}(t) = \\sum_{\\sigma, \\alpha} K(t - \\tau, \\sigma) \\left(t - \\tau\\right)^{\\alpha} D(\\tau, \\sigma, \\alpha)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$d_k = t_k - \\tau(t_k)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\\left[\\begin{matrix} d_0^0 & \\cdots & d_0^{M - 1} \\\\ \\vdots & \\ddots & \\vdots \\\\ d_{N - 1}^0 & \\cdots & d_{N - 1}^{M - 1} \\end{matrix}\\right] \\otimes \\left[\\begin{matrix} D\\left(\\tau(t_0), \\sigma, 0\\right) & \\cdots & D\\left(\\tau(t_0), \\sigma, M - 1\\right) \\\\ \\vdots & \\ddots & \\vdots \\\\ D\\left(\\tau(t_{N - 1}), \\sigma, 1\\right) & \\cdots & D\\left(\\tau(t_{N - 1}), \\sigma, M - 1\\right) \\end{matrix}\\right]$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def compute_t_by_bins(t_values, min_t, max_t, coeff_vals, num_bins, M):\n", " bin_width = (max_t - min_t) / float(num_bins)\n", " bin_indices, t_deltas = get_bins_and_deltas(t_values, min_t,\n", " bin_width, num_bins)\n", "\n", " # We assume all sigma values are the same and do not check.\n", " sigma = coeff_vals[0][1]\n", "\n", " exponents = np.arange(M, dtype=np.float64)\n", " t_delta_powers = t_deltas[:, np.newaxis]**exponents[np.newaxis, :]\n", "\n", " # Use hstack since the vectors are 2D, then transpose.\n", " coefficients = np.hstack([triple[2] for triple in coeff_vals]).T\n", "\n", " t_matched_coeffs = coefficients[bin_indices, :]\n", "\n", " fhat_t = np.sum(t_delta_powers * t_matched_coeffs, axis=1,\n", " dtype=np.complex128)\n", " fhat_t *= dft_kernel(t_deltas, sigma)\n", "\n", " return fhat_t" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "

Converting Coefficients

" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# High Level Approach\n", "\n", "$$\\mathbf{\\text{Refine: }} B(\\tau) = B(\\tau_+') \\cup B(\\tau_+'')$$\n", "\n", "$$\\mathbf{\\text{Coarsen: }} B(\\sigma_{-}) = B(\\sigma) \\cup B(\\sigma')$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# High Level Approach\n", "\n", "$$\\mathbf{\\text{Have: }} D(\\tau, \\sigma, \\alpha) \\text{ and } D(\\tau, \\sigma', \\alpha)$$\n", "\n", "$$\\mathbf{\\text{Want: }} D(\\tau_+', \\sigma_{-}, \\alpha) \\text{ and } D(\\tau_+'', \\sigma_{-}, \\alpha)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# High Level Approach\n", "\n", "$$\\mathbf{\\text{Intermediate: }} D(\\tau_+', \\sigma, \\alpha) \\text{ and } D(\\tau_+'', \\sigma, \\alpha)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Refine Target\n", "\n", "$$D(\\tau, \\sigma, \\alpha) = \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} K(\\tau, \\sigma) \\sum_{s \\in B(\\sigma)} K(\\tau, s - \\sigma) \\left(s - \\sigma\\right)^{\\alpha} D(s)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$D(\\tau_+, \\sigma, \\alpha) = \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} \\sum_{s \\in B(\\sigma)} K(\\tau_+, s) \\left(s - \\sigma\\right)^{\\alpha} D(s)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$K(t, s) = K(\\tau, \\sigma) K(t - \\tau, \\sigma) K(\\tau, s - \\sigma) K(t - \\tau, s - \\sigma)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$K(\\tau_+, s) = K(\\tau, \\sigma) K(\\tau_+ - \\tau, \\sigma) K(\\tau, s - \\sigma) K(\\tau_+ - \\tau, s - \\sigma)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$D(\\tau_+, \\sigma, \\alpha) = \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} \\sum_{s \\in B(\\sigma)} K(\\tau_+, s) \\left(s - \\sigma\\right)^{\\alpha} D(s)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$K(\\tau_+, s) = K(\\tau, \\sigma) K(\\tau_+ - \\tau, \\sigma) K(\\tau, s - \\sigma) K(\\tau_+ - \\tau, s - \\sigma)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$K(\\tau_+ - \\tau, s - \\sigma) = \\sum_{\\beta \\geq 0} \\frac{\\left(- \\sqrt{-1}\\right)^{\\beta}}{\\beta!} \\left(\\tau_+ - \\tau\\right)^{\\beta} \\left(s - \\sigma\\right)^{\\beta}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# ... Wave Magic Algebra Wand ..." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$D(\\tau_+, \\sigma, \\alpha) = K(\\tau_+ - \\tau, \\sigma) \\sum_{\\beta \\geq 0} \\binom{\\alpha + \\beta}{\\alpha} \\left(\\tau_+ - \\tau\\right)^{\\beta} D(\\tau, \\sigma, \\alpha + \\beta)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$D(\\tau, \\sigma, \\alpha + \\beta) \\text{ not defined for all } \\beta$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$D(\\tau_+, \\sigma, \\alpha) \\approx K(\\tau_+ - \\tau, \\sigma) \\sum_{\\beta : \\alpha + \\beta < M} \\binom{\\alpha + \\beta}{\\alpha} \\left(\\tau_+ - \\tau\\right)^{\\beta} D(\\tau, \\sigma, \\alpha + \\beta)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$D(\\tau_+, \\sigma, \\alpha) \\approx K(\\tau_+ - \\tau, \\sigma) \\sum_{\\beta : \\alpha + \\beta < M} \\binom{\\alpha + \\beta}{\\alpha} \\left(\\tau_+ - \\tau\\right)^{\\beta} D(\\tau, \\sigma, \\alpha + \\beta)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$0: \\, \\binom{0}{0} \\Delta^{0} D(\\tau, \\sigma, 0) + \\binom{1}{0} \\Delta^{1} D(\\tau, \\sigma, 1) + \\cdots \\binom{M - 1}{0} \\Delta^{M - 1} D(\\tau, \\sigma, M - 1)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$1: \\, \\binom{1}{1} \\Delta^{0} D(\\tau, \\sigma, 1) + \\binom{2}{1} \\Delta^{1} D(\\tau, \\sigma, 2) + \\cdots \\binom{M - 1}{1} \\Delta^{M - 2} D(\\tau, \\sigma, M - 1)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$D(\\tau_{+}, \\sigma, \\, \\cdot \\,) = K(\\Delta, \\sigma) A_1(\\Delta) D(\\tau, \\sigma, \\, \\cdot \\,)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$A_1(\\Delta) = \\left[\\begin{matrix} \n", "\\binom{0}{0} \\Delta^{0} & \\binom{1}{0} \\Delta^{1} & \\binom{2}{0} \\Delta^{2} & \\cdots & \\binom{M - 1}{0} \\Delta^{M - 1} \\\\\n", "& \\binom{1}{1} \\Delta^{0} & \\binom{2}{1} \\Delta^{1} & \\cdots & \\binom{M - 1}{1} \\Delta^{M - 2} \\\\\n", "& & \\binom{2}{2} \\Delta^{0} & \\cdots & \\binom{M - 1}{2} \\Delta^{M - 3} \\\\\n", "& & & \\ddots & \\vdots \\\\\n", "& & & & \\binom{M - 1}{M - 1} \\Delta^{0}\n", "\\end{matrix}\\right]$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def A1(M, delta, eye_func=np.eye):\n", " result = eye_func(M)\n", " result[0, 1] = delta\n", "\n", " for col in xrange(2, M):\n", " prev_val = result[0, col - 1]\n", "\n", " # Pascal's triangle does not apply at ends. The zero term\n", " # already set on the diagonal.\n", " result[0, col] = delta * prev_val\n", " for row in xrange(1, col):\n", " curr_val = result[row, col - 1]\n", " result[row, col] = prev_val + delta * curr_val\n", " prev_val = curr_val\n", "\n", " return result" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "A1_val = A1(5, -1.0)\n", "print A1_val" ], "language": "python", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[ 1. -1. 1. -1. 1.]\n", " [ 0. 1. -2. 3. -4.]\n", " [ 0. 0. 1. -3. 6.]\n", " [ 0. 0. 0. 1. -4.]\n", " [ 0. 0. 0. 0. 1.]]\n" ] } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "A1_symb = A1(5, sympy.Symbol('Delta'), eye_func=sympy.eye)\n", "display.display(display.Math(sympy.latex(A1_symb)))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "latex": [ "$$\\left[\\begin{matrix}1 & \\Delta & \\Delta^{2} & \\Delta^{3} & \\Delta^{4}\\\\0 & 1 & 2 \\Delta & 3 \\Delta^{2} & 4 \\Delta^{3}\\\\0 & 0 & 1 & 3 \\Delta & 6 \\Delta^{2}\\\\0 & 0 & 0 & 1 & 4 \\Delta\\\\0 & 0 & 0 & 0 & 1\\end{matrix}\\right]$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "from make_partition_plots import show_tau_refine\n", "\n", "show_tau_refine()" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAAClCAYAAAB7jrSoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\Delta_T = \\tau_{+}'' - \\tau = \\tau - \\tau_{+}' = \\frac{1}{4} \\frac{\\max(t) - \\min(t)}{2^{\\ell}} = \\frac{1}{4} \\frac{W_T}{2^{\\ell}}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Remember This\n", "\n", "$$\\left[\\begin{matrix} D(\\tau_{+}', \\sigma, \\, \\cdot \\,) \\\\ D(\\tau_{+}', \\sigma', \\, \\cdot \\,) \\\\ D(\\tau_{+}'', \\sigma, \\, \\cdot \\,) \\\\ D(\\tau_{+}'', \\sigma', \\, \\cdot \\,) \\end{matrix}\\right] = \\left[\\begin{matrix} K(-\\Delta_T, \\sigma) A_1(-\\Delta_T) & 0 \\\\ 0 & K(-\\Delta_T, \\sigma') A_1(-\\Delta_T) \\\\ K(\\Delta_T, \\sigma) A_1(\\Delta_T) & 0 \\\\ 0 & K(\\Delta_T, \\sigma') A_1(\\Delta_T) \\end{matrix}\\right] \\left[\\begin{matrix} D(\\tau, \\sigma, \\, \\cdot \\,) \\\\ D(\\tau, \\sigma', \\, \\cdot \\,) \\end{matrix}\\right]$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def mult_diag(val, A, M, diag):\n", " first_row = max(0, -diag)\n", " last_row = min(M, M - diag)\n", " for row in xrange(first_row, last_row):\n", " A[row, row + diag] *= val\n", "\n", "\n", "def A_update(A_val, scale_multiplier=0.5, upper_diags=True):\n", " M = A_val.shape[0]\n", "\n", " # If not `upper_diags` we want the lower diagonal.\n", " diag_mult = 1 if upper_diags else -1\n", " # We don't need to update the main diagonal since exponent=0.\n", " scale_factor = 1\n", " for diagonal in xrange(1, M):\n", " scale_factor *= scale_multiplier\n", " mult_diag(scale_factor, A_val, M, diagonal * diag_mult)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "A1_negative = A1_val.copy()\n", "A_update(A1_negative, scale_multiplier=-1.0)\n", "print A1_negative" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[ 1. 1. 1. 1. 1.]\n", " [ 0. 1. 2. 3. 4.]\n", " [ 0. 0. 1. 3. 6.]\n", " [ 0. 0. 0. 1. 4.]\n", " [ 0. 0. 0. 0. 1.]]\n" ] } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "all_ones = sympy.ones(4, 4)\n", "A_update(all_ones, scale_multiplier=sympy.Symbol('x'), upper_diags=True)\n", "A_update(all_ones, scale_multiplier=sympy.Symbol('y'), upper_diags=False)\n", "display.display(display.Math(sympy.latex(all_ones)))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "latex": [ "$$\\left[\\begin{matrix}1 & x & x^{2} & x^{3}\\\\y & 1 & x & x^{2}\\\\y^{2} & y & 1 & x\\\\y^{3} & y^{2} & y & 1\\end{matrix}\\right]$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Coarsen Source\n", "\n", "$$D(\\tau_+, \\sigma_{-}, \\alpha) = \\frac{\\left(-\\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} \\sum_{s \\in B(\\sigma_{-})} K(\\tau_+, s) \\left(s - \\sigma_{-}\\right)^{\\alpha} D(s)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$B(\\sigma_{-}) = B(\\sigma) \\cup B(\\sigma')$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\\sum_{s \\in B(\\sigma_{-})} = \\sum_{s \\in B(\\sigma)} + \\sum_{s \\in B(\\sigma')}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$s - \\sigma_{-} = (s - \\sigma) + (\\sigma - \\sigma_{-})$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$(s - \\sigma_{-})^{\\alpha} = \\sum_{\\beta = 0}^{\\alpha} \\binom{\\alpha}{\\beta} (s - \\sigma)^{\\beta} (\\sigma - \\sigma_{-})^{\\alpha - \\beta}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# ... Wave Magic Algebra Wand ..." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$D(\\tau_+, \\sigma_{-}, \\alpha) = \\sum_{\\beta = 0}^{\\alpha} \\frac{\\left(-\\sqrt{-1}\\right)^{\\alpha - \\beta}}{(\\alpha - \\beta)!} \\left[(\\sigma - \\sigma_{-})^{\\alpha - \\beta} D(\\tau_+, \\sigma, \\beta) + (\\sigma' - \\sigma_{-})^{\\alpha - \\beta} D(\\tau_+, \\sigma', \\beta)\\right]$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from make_partition_plots import show_sigma_coarsen\n", "\n", "show_sigma_coarsen()" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAACOCAYAAAAW5UFdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\Delta_S = \\sigma' - \\sigma_{-} = \\sigma_{-} - \\sigma = \\frac{1}{2} \\frac{\\max(s) - \\min(s)}{2^{L - \\ell}} = \\frac{1}{2} \\frac{W_S}{2^{L - \\ell}}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$D(\\tau_+, \\sigma_{-}, \\alpha) = \\sum_{\\beta = 0}^{\\alpha} \\frac{\\left(-\\sqrt{-1}\\right)^{\\alpha - \\beta}}{(\\alpha - \\beta)!} (\\sigma - \\sigma_{-})^{\\alpha - \\beta} D(\\tau_+, \\sigma, \\beta) + \\cdots $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$D(\\tau_+, \\sigma_{-}, 0) = \\left[\\frac{\\left(\\Delta_S \\sqrt{-1}\\right)^{0}}{(0)!} D(\\tau_+, \\sigma, 0)\\right] + \\cdots$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$D(\\tau_+, \\sigma_{-}, 1) = \\left[\\frac{\\left(\\Delta_S \\sqrt{-1}\\right)^{1}}{(1)!} D(\\tau_+, \\sigma, 0) + \\frac{\\left(\\Delta_S \\sqrt{-1}\\right)^{0}}{(0)!} D(\\tau_+, \\sigma, 1)\\right] + \\cdots $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$D(\\tau_+, \\sigma_{-}, \\alpha) = \\sum_{\\beta = 0}^{\\alpha} \\frac{\\left(-\\sqrt{-1}\\right)^{\\alpha - \\beta}}{(\\alpha - \\beta)!} (\\sigma - \\sigma_{-})^{\\alpha - \\beta} D(\\tau_+, \\sigma, \\beta) + \\cdots $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$A_2(\\Delta) = \\left[\\begin{matrix}\n", "\\frac{\\left(-\\Delta \\sqrt{-1}\\right)^{0}}{0!} & & & \\\\\n", "\\frac{\\left(-\\Delta \\sqrt{-1}\\right)^{1}}{1!} & \\frac{\\left(-\\Delta \\sqrt{-1}\\right)^{0}}{0!} & & \\\\\n", "\\vdots & \\vdots & \\ddots & \\\\\n", "\\frac{\\left(-\\Delta \\sqrt{-1}\\right)^{M - 1}}{(M - 1)!} & \\frac{\\left(-\\Delta \\sqrt{-1}\\right)^{M - 2}}{(M - 2)!} & \\cdots & \\frac{\\left(-\\Delta \\sqrt{-1}\\right)^{0}}{0!} \\\\\n", "\\end{matrix}\\right]$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$D(\\tau_{+}, \\sigma_{-}, \\, \\cdot \\,) = A_2(-\\Delta_S) D(\\tau_{+}, \\sigma, \\, \\cdot \\,) + A_2(\\Delta_S) D(\\tau_{+}, \\sigma', \\, \\cdot \\,)$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def complex_eye(M):\n", " return np.eye(M, dtype=np.complex128)\n", "\n", "\n", "def set_diag(val, A, M, diag):\n", " first_row = max(0, -diag)\n", " last_row = min(M, M - diag)\n", " for row in xrange(first_row, last_row):\n", " A[row, row + diag] = val\n", "\n", "\n", "def A2(M, delta, eye_func=complex_eye, imag=1.0j):\n", " result = eye_func(M)\n", " new_delta = -imag * delta\n", "\n", " diagonal_value = 1\n", " for sub_diagonal in xrange(1, M):\n", " diagonal_value = diagonal_value * new_delta / sub_diagonal\n", " set_diag(diagonal_value, result, M, -sub_diagonal)\n", "\n", " return result" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "A2_val = A2(5, 1.0j)\n", "print 'Frobenius norm of imaginary part:', np.linalg.norm(np.imag(A2_val), ord='fro')\n", "print '-' * 40\n", "A2_val = np.real(A2_val)\n", "print A2_val" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Frobenius norm of imaginary part: 0.0\n", "----------------------------------------\n", "[[ 1. 0. 0. 0. 0. ]\n", " [ 1. 1. 0. 0. 0. ]\n", " [ 0.5 1. 1. 0. 0. ]\n", " [ 0.16666667 0.5 1. 1. 0. ]\n", " [ 0.04166667 0.16666667 0.5 1. 1. ]]\n" ] } ], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "A2_symb = A2(5, sympy.Symbol('Delta'),\n", " eye_func=sympy.eye, imag=sympy.I)\n", "\n", "display.display(display.Math(sympy.latex(A2_symb)))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "latex": [ "$$\\left[\\begin{matrix}1 & 0 & 0 & 0 & 0\\\\- i \\Delta & 1 & 0 & 0 & 0\\\\- \\frac{\\Delta^{2}}{2} & - i \\Delta & 1 & 0 & 0\\\\\\frac{i \\Delta^{3}}{6} & - \\frac{\\Delta^{2}}{2} & - i \\Delta & 1 & 0\\\\\\frac{\\Delta^{4}}{24} & \\frac{i \\Delta^{3}}{6} & - \\frac{\\Delta^{2}}{2} & - i \\Delta & 1\\end{matrix}\\right]$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "A_update(A2_val, scale_multiplier=2.0, upper_diags=False)\n", "print A2_val" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[ 1. 0. 0. 0. 0. ]\n", " [ 2. 1. 0. 0. 0. ]\n", " [ 2. 2. 1. 0. 0. ]\n", " [ 1.33333333 2. 2. 1. 0. ]\n", " [ 0.66666667 1.33333333 2. 2. 1. ]]\n" ] } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "A_update(A2_val, scale_multiplier=-1.0, upper_diags=False)\n", "print A2_val" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[ 1. 0. 0. 0. 0. ]\n", " [-2. 1. 0. 0. 0. ]\n", " [ 2. -2. 1. 0. 0. ]\n", " [-1.33333333 2. -2. 1. 0. ]\n", " [ 0.66666667 -1.33333333 2. -2. 1. ]]\n" ] } ], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Remember This\n", "\n", "$$\\left[\\begin{matrix} D(\\tau_{+}', \\sigma_{-}, \\, \\cdot \\,) \\\\ D(\\tau_{+}'', \\sigma_{-}, \\, \\cdot \\,) \\end{matrix}\\right] = \\left[\\begin{matrix} A_2(-\\Delta_S) & A_2(\\Delta_S) & 0 & 0\\\\0 & 0 & A_2(-\\Delta_S) & A_2(\\Delta_S)\\end{matrix}\\right] \\left[\\begin{matrix} D(\\tau_{+}', \\sigma, \\, \\cdot \\,) \\\\ D(\\tau_{+}', \\sigma', \\, \\cdot \\,) \\\\ D(\\tau_{+}'', \\sigma, \\, \\cdot \\,) \\\\ D(\\tau_{+}'', \\sigma', \\, \\cdot \\,) \\end{matrix}\\right]$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\left[\\begin{matrix} D(\\tau, \\sigma, \\, \\cdot \\,) \\\\\n", "D(\\tau, \\sigma', \\, \\cdot \\,) \\end{matrix}\\right] \\rightarrow \\left[\\begin{matrix} D(\\tau_{+}', \\sigma, \\, \\cdot \\,) \\\\ D(\\tau_{+}', \\sigma', \\, \\cdot \\,) \\\\ D(\\tau_{+}'', \\sigma, \\, \\cdot \\,) \\\\ D(\\tau_{+}'', \\sigma', \\, \\cdot \\,) \\end{matrix}\\right] \\rightarrow\n", "\\left[\\begin{matrix} D(\\tau_+', \\sigma_{-}, \\, \\cdot \\,) \\\\\n", "D(\\tau_+'', \\sigma_{-}, \\, \\cdot \\,) \\end{matrix}\\right]$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\left[\\begin{matrix} K(-\\Delta_T, \\sigma) A_1(-\\Delta_T) & 0 \\\\ 0 & K(-\\Delta_T, \\sigma') A_1(-\\Delta_T) \\\\ K(\\Delta_T, \\sigma) A_1(\\Delta_T) & 0 \\\\ 0 & K(\\Delta_T, \\sigma') A_1(\\Delta_T) \\end{matrix}\\right]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\left[\\begin{matrix} A_2(-\\Delta_S) & A_2(\\Delta_S) & 0 & 0\\\\0 & 0 & A_2(-\\Delta_S) & A_2(\\Delta_S)\\end{matrix}\\right]$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "a, b, c, d, e, f = sympy.symbols('a b c d e f')\n", "M_left = sympy.Matrix([[a, b, 0, 0], [0, 0, a, b]])\n", "M_right = sympy.Matrix([[c, 0], [0, d], [e, 0], [0, f]])\n", "\n", "message = sympy.latex(M_left) + sympy.latex(M_right)\n", "display.display(display.Math(message))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "latex": [ "$$\\left[\\begin{matrix}a & b & 0 & 0\\\\0 & 0 & a & b\\end{matrix}\\right]\\left[\\begin{matrix}c & 0\\\\0 & d\\\\e & 0\\\\0 & f\\end{matrix}\\right]$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 41 }, { "cell_type": "code", "collapsed": false, "input": [ "M_prod = M_left * M_right\n", "message = sympy.latex(M_prod)\n", "display.display(display.Math(message))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "latex": [ "$$\\left[\\begin{matrix}a c & b d\\\\a e & b f\\end{matrix}\\right]$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$\\left[\\begin{matrix} K(-\\Delta_T, \\sigma) A_2(-\\Delta_S) A_1(-\\Delta_T) & K(-\\Delta_T, \\sigma') A_2(\\Delta_S) A_1(-\\Delta_T) \\\\ K(\\Delta_T, \\sigma) A_2(-\\Delta_S) A_1(\\Delta_T) & K(\\Delta_T, \\sigma') A_2(\\Delta_S) A_1(\\Delta_T) \\end{matrix}\\right]$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from itertools import izip\n", "\n", "def increase_tau_refinement(values, num_tau, num_sigma, update_func):\n", " result = []\n", " for tau_index in xrange(num_tau):\n", " begin = tau_index * num_sigma\n", " end = begin + num_sigma\n", " # We need to hold the right values until all the left values\n", " # have been added.\n", " right_updated = []\n", "\n", " # Assumes num_sigma is even.\n", " left_vals, right_vals = values[begin:end:2], values[1 + begin:end:2]\n", " for left_val, right_val in izip(left_vals, right_vals):\n", " new_left, new_right = update_func(left_val, right_val)\n", " result.append(new_left)\n", " right_updated.append(new_right)\n", "\n", " result.extend(right_updated)\n", "\n", " return result" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "def custom_update(left_val, right_val):\n", " tau, sigma1 = left_val\n", " tau2, sigma2 = right_val\n", " new_sigma = sigma1 >> 1\n", " if tau != tau2 or new_sigma != (sigma2 >> 1):\n", " raise ValueError(left_val, right_val)\n", " new_left = (2 * tau, new_sigma)\n", " new_right = (2 * tau + 1, new_sigma)\n", " return new_left, new_right" ], "language": "python", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "num_tau = 2\n", "num_sigma = 4\n", "index_pairs1 = [(tau, sigma)\n", " for tau in xrange(num_tau)\n", " for sigma in xrange(num_sigma)]\n", "\n", "index_pairs2 = increase_tau_refinement(\n", " index_pairs1, num_tau, num_sigma, custom_update)\n", "index_pairs3 = increase_tau_refinement(\n", " index_pairs2, 2 * num_tau, num_sigma / 2, custom_update)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "row_template = (r'\\left(\\tau_{%d}, \\sigma_{%d}\\right) & \\rightarrow & '\n", " r'\\left(\\tau_{%d}, \\sigma_{%d}\\right) & \\rightarrow & '\n", " r'\\left(\\tau_{%d}, \\sigma_{%d}\\right) \\\\')\n", "\n", "latex_rows = [\n", " r'\\begin{array}{ccccc}',\n", " r'\\ell = 1 & & \\ell = 2 & & \\ell = 3 \\\\',\n", " r'\\hline',\n", "]\n", "\n", "for (i1, j1), (i2, j2), (i3, j3) in zip(index_pairs1,\n", " index_pairs2, index_pairs3):\n", " latex_rows.append(row_template % (i1, j1, i2, j2, i3, j3))\n", "\n", "latex_rows.append(r'\\end{array}')" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "prompt_number": 46 }, { "cell_type": "code", "collapsed": false, "input": [ "display.display(display.Math('\\n'.join(latex_rows)))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "latex": [ "$$\\begin{array}{ccccc}\n", "\\ell = 1 & & \\ell = 2 & & \\ell = 3 \\\\\n", "\\hline\n", "\\left(\\tau_{0}, \\sigma_{0}\\right) & \\rightarrow & \\left(\\tau_{0}, \\sigma_{0}\\right) & \\rightarrow & \\left(\\tau_{0}, \\sigma_{0}\\right) \\\\\n", "\\left(\\tau_{0}, \\sigma_{1}\\right) & \\rightarrow & \\left(\\tau_{0}, \\sigma_{1}\\right) & \\rightarrow & \\left(\\tau_{1}, \\sigma_{0}\\right) \\\\\n", "\\left(\\tau_{0}, \\sigma_{2}\\right) & \\rightarrow & \\left(\\tau_{1}, \\sigma_{0}\\right) & \\rightarrow & \\left(\\tau_{2}, \\sigma_{0}\\right) \\\\\n", "\\left(\\tau_{0}, \\sigma_{3}\\right) & \\rightarrow & \\left(\\tau_{1}, \\sigma_{1}\\right) & \\rightarrow & \\left(\\tau_{3}, \\sigma_{0}\\right) \\\\\n", "\\left(\\tau_{1}, \\sigma_{0}\\right) & \\rightarrow & \\left(\\tau_{2}, \\sigma_{0}\\right) & \\rightarrow & \\left(\\tau_{4}, \\sigma_{0}\\right) \\\\\n", "\\left(\\tau_{1}, \\sigma_{1}\\right) & \\rightarrow & \\left(\\tau_{2}, \\sigma_{1}\\right) & \\rightarrow & \\left(\\tau_{5}, \\sigma_{0}\\right) \\\\\n", "\\left(\\tau_{1}, \\sigma_{2}\\right) & \\rightarrow & \\left(\\tau_{3}, \\sigma_{0}\\right) & \\rightarrow & \\left(\\tau_{6}, \\sigma_{0}\\right) \\\\\n", "\\left(\\tau_{1}, \\sigma_{3}\\right) & \\rightarrow & \\left(\\tau_{3}, \\sigma_{1}\\right) & \\rightarrow & \\left(\\tau_{7}, \\sigma_{0}\\right) \\\\\n", "\\end{array}$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ "def make_update_func(A1_minus, A1_plus, A2_minus, A2_plus, delta_T):\n", "\n", " top_left, top_right = A2_minus.dot(A1_minus), A2_plus.dot(A1_minus)\n", " bottom_left, bottom_right = A2_minus.dot(A1_plus), A2_plus.dot(A1_plus)\n", "\n", " def update_func(left_val, right_val):\n", " tau, sigma, alpha_vals_left = left_val\n", " # We expect the pair to share tau, and don't check to avoid slowdown.\n", " tau_same, sigma_prime, alpha_vals_right = right_val\n", "\n", " sigma_minus = 0.5 * (sigma + sigma_prime)\n", " tau_left = tau - delta_T\n", " tau_right = tau + delta_T\n", "\n", " new_alpha_vals_left = (\n", " dft_kernel(-delta_T, sigma) * top_left.dot(alpha_vals_left) +\n", " dft_kernel(-delta_T, sigma_prime) * top_right.dot(alpha_vals_right)\n", " )\n", " new_alpha_vals_right = (\n", " dft_kernel(delta_T, sigma) * bottom_left.dot(alpha_vals_left) +\n", " (dft_kernel(delta_T, sigma_prime) *\n", " bottom_right.dot(alpha_vals_right))\n", " )\n", "\n", " new_left_val = (tau_left, sigma_minus, new_alpha_vals_left)\n", " new_right_val = (tau_right, sigma_minus, new_alpha_vals_right)\n", " return new_left_val, new_right_val\n", "\n", " return update_func" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 48 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Drumroll...Putting it all together" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def solve(s, t, data, L, M):\n", " min_t, max_t = np.min(t), np.max(t)\n", " min_s, max_s = np.min(s), np.max(s)\n", " num_bins = 2**L\n", "\n", " tau = 0.5 * (min_t + max_t)\n", " coeff_vals = create_initial_data(s, min_s, max_s,\n", " tau, data, num_bins, M)\n", "\n", " # ell = 0\n", " delta_S = (max_s - min_s) / (2.0 * num_bins)\n", " delta_T = (max_t - min_t) * 0.25\n", " num_tau, num_sigma = 1, num_bins\n", "\n", " A1_minus, A1_plus = A1(M, -delta_T), A1(M, delta_T)\n", " A2_minus, A2_plus = A2(M, -delta_S), A2(M, delta_S)\n", "\n", " for ell in xrange(1, L + 1):\n", " update_func = make_update_func(A1_minus, A1_plus, A2_minus,\n", " A2_plus, delta_T)\n", " coeff_vals = increase_tau_refinement(coeff_vals, num_tau,\n", " num_sigma, update_func)\n", "\n", " num_tau, num_sigma, delta_T = update_loop_vals(\n", " num_tau, num_sigma, delta_T,\n", " A1_minus, A1_plus, A2_minus, A2_plus)\n", "\n", " return compute_t_by_bins(t, min_t, max_t, coeff_vals, num_bins, M)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 49 }, { "cell_type": "code", "collapsed": false, "input": [ "def update_loop_vals(num_tau, num_sigma, delta_T,\n", " A1_minus, A1_plus, A2_minus, A2_plus):\n", " num_tau = num_tau * 2\n", " num_sigma = num_sigma / 2\n", " delta_T *= 0.5\n", "\n", " A_update(A1_plus, scale_multiplier=0.5, upper_diags=True)\n", " A_update(A1_minus, scale_multiplier=0.5, upper_diags=True)\n", " A_update(A2_plus, scale_multiplier=2.0, upper_diags=False)\n", " A_update(A2_minus, scale_multiplier=2.0, upper_diags=False)\n", "\n", " return num_tau, num_sigma, delta_T" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 50 }, { "cell_type": "code", "collapsed": false, "input": [ "N = blue_whale_call.size\n", "N_vals = np.arange(N, dtype=np.float64)\n", "t = 2 * np.pi * N_vals\n", "s = N_vals / N\n", "\n", "L = 10 # relax by 3 levels\n", "M = 50\n", "\n", "start = time.time()\n", "soln = solve(s, t, blue_whale_call, L, M)\n", "duration = time.time() - start\n", "\n", "message = r'\\text{Butterfly Duration: } %2.10f' % (duration,)\n", "display.display(display.Math(message))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "latex": [ "$$\\text{Butterfly Duration: } 0.3382070065$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 51 }, { "cell_type": "code", "collapsed": false, "input": [ "message = r'\\text{Recall, Actual Naive Duration: } %2.10f' % (naive_duration,)\n", "display.display(display.Math(message))" ], "language": "python", "metadata": {}, "outputs": [ { "latex": [ "$$\\text{Recall, Actual Naive Duration: } 7.0778009892$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 52 }, { "cell_type": "code", "collapsed": false, "input": [ "error = np.linalg.norm(soln - dft_whale_call, ord=2)\n", "\n", "sig, exponent = str(error).split('e')\n", "expr = r'\\|e\\|_2 = %s \\cdot 10^{%s}' % (sig, exponent)\n", "display.display(display.Math(expr))" ], "language": "python", "metadata": {}, "outputs": [ { "latex": [ "$$\\|e\\|_2 = 1.96158293529 \\cdot 10^{-08}$$" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 53 }, { "cell_type": "code", "collapsed": false, "input": [ "# NOTE: This assumes s, t, blue_whale_call, dft_whale_call are globals at definition time\n", "\n", "def get_time(L, M, s=s, t=t, data=blue_whale_call,\n", " true_soln=dft_whale_call):\n", " start = time.time()\n", " soln = solve(t, s, data, L, M=M)\n", " duration = time.time() - start\n", " error = np.linalg.norm(soln - true_soln, ord=2)\n", " return error, duration" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 54 }, { "cell_type": "code", "collapsed": false, "input": [ "L10_M_choices = (10, 18, 26, 34, 42, 50, 58)\n", "L10_time_pairs = [get_time(L=10, M=M) for M in L10_M_choices]\n", "L11_M_choices = (5, 10, 15, 20, 25, 30, 35)\n", "L11_time_pairs = [get_time(L=11, M=M) for M in L11_M_choices]\n", "L12_M_choices = (4, 8, 12, 16, 20, 24, 28)\n", "L12_time_pairs = [get_time(L=12, M=M) for M in L12_M_choices]\n", "L13_M_choices = (3, 6, 9, 12, 15, 18, 21)\n", "L13_time_pairs = [get_time(L=12, M=M) for M in L13_M_choices]" ], "language": "python", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [], "prompt_number": 55 }, { "cell_type": "code", "collapsed": false, "input": [ "from make_partition_plots import make_time_plots\n", "\n", "\n", "make_time_plots(L10_M_choices, L11_M_choices, L12_M_choices, L13_M_choices,\n", " L10_time_pairs, L11_time_pairs, L12_time_pairs, L13_time_pairs)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAwwAAAIGCAYAAAD5kwipAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwSBJkiSplQsGSZIkSa1cMEiSJElq9SdrwA5nyfc3qQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 56 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Error Analysis\n", "\n", "Two truncations:\n", "$$K(t, s) \\approx K(\\tau, \\sigma) K(t - \\tau, \\sigma) K(\\tau, s - \\sigma) \\sum_{\\alpha = 0}^{M - 1} \\frac{\\left(- \\sqrt{-1}\\right)^{\\alpha}}{\\alpha!} (t - \\tau)^{\\alpha} \\left(s - \\sigma\\right)^{\\alpha}$$\n", "and\n", "$$D(\\tau_+, \\sigma, \\alpha) \\approx K(\\tau_+ - \\tau, \\sigma) \\sum_{\\beta : \\alpha + \\beta < M} \\binom{\\alpha + \\beta}{\\alpha} \\left(\\tau_+ - \\tau\\right)^{\\beta} D(\\tau, \\sigma, \\alpha + \\beta)$$\n", "We need to understand how these errors propagate through our\n", "solution." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Error Analysis\n", "\n", "The rest, a conversation for another day..." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "

Thanks!

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Custom styling, borrowed from https://github.com/ellisonbg/talk-2013-scipy\n", "\n", "import os\n", "\n", "\n", "MAKE_SLIDES = os.getenv('MAKE_BUTTERFLY_SLIDES') == 'True'\n", "\n", "# Make plots centered. H/T to http://stackoverflow.com/a/27168595/1068170\n", "STYLE = \"\"\"\\\n", "\n", "\"\"\"\n", "\n", "\n", "SLIDES_STYLE = \"\"\"\n", "\n", "\"\"\"\n", "\n", "if MAKE_SLIDES:\n", " STYLE = STYLE + '\\n' + SLIDES_STYLE\n", "\n", "\n", "display.display(display.HTML(STYLE))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "notes" } }, "outputs": [ { "html": [ "\n", "\n", "\n", "\n" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 57 }, { "cell_type": "code", "collapsed": false, "input": [ "%%file make_partition_plots.py\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "\n", "\n", "N_exp = 4 # 8 boxes\n", "N = 2**N_exp\n", "# import seaborn\n", "# seaborn.husl_palette(n_colors=7)\n", "SEABORN_COLORS = [\n", " [0.9677975592919913, 0.44127456009157356, 0.5358103155058701],\n", " [0.7757319041862729, 0.5784925270759935, 0.19475566538551875],\n", " [0.5105309046900421, 0.6614299289084904, 0.1930849118538962],\n", " [0.20433460114757862, 0.6863857739476534, 0.5407103379425205],\n", " [0.21662978923073606, 0.6676586160122123, 0.7318695594345369],\n", " [0.5049017849530067, 0.5909119231215284, 0.9584657252128558],\n", " [0.9587050080494409, 0.3662259565791742, 0.9231469575614251],\n", "]\n", "\n", "\n", "def remove_axis_frame(ax):\n", " ax.set_frame_on(False)\n", " ax.yaxis.set_label_position('right')\n", " ax.set_xticklabels([])\n", " # H/T: http://stackoverflow.com/a/20416681/1068170\n", " for tic in ax.xaxis.get_major_ticks():\n", " tic.tick1On = tic.tick2On = False\n", " ax.set_yticklabels([])\n", " for tic in ax.yaxis.get_major_ticks():\n", " tic.tick1On = tic.tick2On = False\n", "\n", "\n", "def make_1D_centers(L=N_exp, s_values=None):\n", " rows, cols = 1, 1\n", " fig, ax = plt.subplots(rows, cols)\n", "\n", " N = 2**L\n", "\n", " all_sigma = np.linspace(0, 1, N + 1)\n", " ax.plot(all_sigma, np.zeros(all_sigma.shape),\n", " color='black', marker='|', markersize=20)\n", "\n", " if s_values is not None:\n", " ax.plot(s_values, np.zeros(s_values.shape),\n", " color='blue', marker='o', linestyle='None')\n", "\n", " center_pts = all_sigma[:-1] + 0.5 / N\n", " ax.plot(center_pts, np.zeros(center_pts.shape),\n", " color='red', marker='o', linestyle='None')\n", "\n", " for i, x_val in enumerate(center_pts):\n", " label = r'$\\sigma_{%d}$' % (i,)\n", " ax.annotate(label, xy=(x_val, -0.05), xytext=(x_val - 0.01, -0.04),\n", " fontsize=24)\n", "\n", " remove_axis_frame(ax)\n", " ax.axis('scaled')\n", " ax.set_xlim(-0.05, 1.05)\n", " ax.set_ylim(-0.05, 0.05)\n", "\n", " width, height = fig.get_size_inches()\n", " fig.set_size_inches(2 * width, 2 * height, forward=True)\n", "\n", " plt.show()\n", "\n", "\n", "def add_labeled_M(ax, time_only, log_errors, M_choices, loc='upper right'):\n", " for x, y, M, c in zip(time_only, log_errors, M_choices, SEABORN_COLORS):\n", " ax.plot([x], [y], marker='o', label=r'$M = %d$' % (M,), color=c)\n", " ax.legend(loc=loc)\n", "\n", "\n", "def make_time_plots(L10_M_choices, L11_M_choices, L12_M_choices, L13_M_choices,\n", " L10_time_pairs, L11_time_pairs, L12_time_pairs,\n", " L13_time_pairs):\n", " rows = cols = 2\n", " fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(rows, cols)\n", "\n", " L10_log_errors = [np.log10(pair[0]) for pair in L10_time_pairs]\n", " L11_log_errors = [np.log10(pair[0]) for pair in L11_time_pairs]\n", " L12_log_errors = [np.log10(pair[0]) for pair in L12_time_pairs]\n", " L13_log_errors = [np.log10(pair[0]) for pair in L13_time_pairs]\n", "\n", " L10_time_only = [pair[1] for pair in L10_time_pairs]\n", " L11_time_only = [pair[1] for pair in L11_time_pairs]\n", " L12_time_only = [pair[1] for pair in L12_time_pairs]\n", " L13_time_only = [pair[1] for pair in L13_time_pairs]\n", "\n", " true_min = np.min(L10_log_errors + L11_log_errors +\n", " L12_log_errors + L13_log_errors)\n", " true_min -= 1.0\n", " true_max = np.max(L10_log_errors + L11_log_errors +\n", " L12_log_errors + L13_log_errors)\n", " true_max += 1.3\n", " true_left = np.min(L10_time_only + L11_time_only +\n", " L12_time_only + L13_time_only)\n", " true_left -= 0.1\n", " true_right = np.max(L10_time_only + L11_time_only +\n", " L12_time_only + L13_time_only)\n", " true_right += 0.1\n", "\n", " ax1.plot(L10_time_only, L10_log_errors, color='black')\n", " ax1.set_ylabel(r'$\\log_{10} ||e||_2$', rotation=0, fontsize=20, labelpad=40)\n", " ax1.set_title(r'$L = 10$', fontsize=20)\n", " ax1.set_xlim((true_left, true_right))\n", " ax1.set_ylim((true_min, true_max))\n", "\n", " add_labeled_M(ax1, L10_time_only, L10_log_errors, L10_M_choices)\n", "\n", " ax2.plot(L11_time_only, L11_log_errors, color='black')\n", " ax2.set_title(r'$L = 11$', fontsize=20)\n", " ax2.set_xlim((true_left, true_right))\n", " ax2.set_ylim((true_min, true_max))\n", "\n", " add_labeled_M(ax2, L11_time_only, L11_log_errors, L11_M_choices)\n", "\n", " ax3.plot(L12_time_only, L12_log_errors, color='black')\n", " ax3.set_ylabel(r'$\\log_{10} ||e||_2$', rotation=0, fontsize=20, labelpad=40)\n", " ax3.set_xlabel('runtime', fontsize=20)\n", " ax3.set_title(r'$L = 12$', fontsize=20)\n", " ax3.set_xlim((true_left, true_right))\n", " ax3.set_ylim((true_min, true_max))\n", "\n", " add_labeled_M(ax3, L12_time_only, L12_log_errors,\n", " L12_M_choices, loc='upper left')\n", "\n", " ax4.plot(L13_time_only, L13_log_errors, marker='o')\n", " ax4.set_title(r'$L = 13$', fontsize=20)\n", " ax4.set_xlabel('runtime', fontsize=20)\n", " ax4.set_xlim((true_left, true_right))\n", " ax4.set_ylim((true_min, true_max))\n", "\n", " add_labeled_M(ax4, L13_time_only, L13_log_errors,\n", " L13_M_choices, loc='upper left')\n", "\n", " width, height = fig.get_size_inches()\n", " fig.set_size_inches(2 * width, 2 * height, forward=True)\n", "\n", " plt.show()\n", "\n", "\n", "def make_butterfly(L=4, level=None):\n", " rows, cols = 1, 1\n", " fig, ax = plt.subplots(rows, cols)\n", "\n", " if level is not None:\n", " s_index, t_index = L - level, level\n", " ax.set_title(r'$L = %d, \\, \\ell = %d$' % (L, L - s_index),\n", " fontsize=20)\n", "\n", " heights = np.linspace(0, 1, L + 1)\n", "\n", " x_vals = np.array([0.0, 1.0]) # Left and right half.\n", " for i in xrange(L + 1):\n", " j = L - i\n", "\n", " begin = np.array([0.0, heights[i]])\n", " end = np.array([1.0, heights[j]])\n", " quarter_dir = 0.25 * (end - begin)\n", " dx, dy = quarter_dir\n", " ax.arrow(dx, heights[i] + dy, 2 * dx, 2 * dy,\n", " length_includes_head=True, color='blue')\n", " ax.arrow(0.0, heights[i], dx, dy,\n", " length_includes_head=False, color='black')\n", " ax.plot([3 * dx, 1.0], [heights[i] + 3 * dy, heights[j]],\n", " color='black', linewidth=1.5)\n", "\n", " if level is not None:\n", " s_boundaries = np.linspace(-0.55, -0.05, 2**s_index + 1)\n", " ax.plot(s_boundaries,\n", " heights[s_index] * np.ones(2**s_index + 1),\n", " color='black', marker='|', markersize=20)\n", " s_width = s_boundaries[1] - s_boundaries[0]\n", " ax.plot(s_width * 0.5 + s_boundaries[:-1],\n", " heights[s_index] * np.ones(2**s_index),\n", " color='red', marker='o', linestyle='None')\n", " t_boundaries = np.linspace(1.05, 1.55, 2**t_index + 1)\n", " ax.plot(t_boundaries,\n", " heights[t_index] * np.ones(2**t_index + 1),\n", " color='black', marker='|', markersize=20)\n", " t_width = t_boundaries[1] - t_boundaries[0]\n", " ax.plot(t_width * 0.5 + t_boundaries[:-1],\n", " heights[t_index] * np.ones(2**t_index),\n", " color='red', marker='o', linestyle='None')\n", "\n", " remove_axis_frame(ax)\n", "\n", " ax.axis('scaled')\n", "\n", " if level is None:\n", " ax.set_xlim(0, 1)\n", " ax.set_ylim(0, 1)\n", " else:\n", " ax.set_xlim(-0.55, 1.55)\n", " ax.set_ylim(-0.1, 1.1)\n", "\n", " width, height = fig.get_size_inches()\n", " fig.set_size_inches(2 * width, 2 * height, forward=True)\n", "\n", " plt.show()\n", "\n", "\n", "def get_random_intervals(N):\n", " interval_width = 1.0 / N\n", " interval_starts = np.linspace(0, 1 - interval_width, N)\n", " L = interval_starts + interval_width * np.random.random(N)\n", " R = interval_starts + interval_width * np.random.random(N)\n", " return L, R\n", "\n", "\n", "def naive_interaction(L, R, N=16, return_fig=False):\n", " rows, cols = 1, 1\n", " fig, ax = plt.subplots(rows, cols)\n", "\n", " N = N or len(L)\n", " ax.set_title(r'$N = %d$' % (N,), fontsize=20)\n", "\n", " for l_val in L:\n", " for r_val in R:\n", " ax.plot([0, 1], [l_val, r_val], color='blue')\n", "\n", " remove_axis_frame(ax)\n", " ax.annotate('$S$', xy=(0.0, 0.5), xytext=(-0.05, 0.5),\n", " fontsize=20)\n", " ax.annotate('$T$', xy=(1.0, 0.5), xytext=(1.025, 0.5),\n", " fontsize=20)\n", " ax.axis('scaled')\n", "\n", " width, height = fig.get_size_inches()\n", " fig.set_size_inches(2 * width, 2 * height, forward=True)\n", "\n", " if return_fig:\n", " return ax, fig\n", " else:\n", " plt.show()\n", "\n", "\n", "def binned_interaction(s_values, t_values, L=2):\n", " N = len(s_values)\n", " bin_width = 1.0 / 2**L\n", " sigma_values = 0.5 * bin_width + np.arange(2**L) * bin_width\n", " bin_ends = np.arange(2**L + 1) * bin_width\n", " ax, fig = naive_interaction(sigma_values, t_values,\n", " N=N, return_fig=True)\n", " ax.plot(np.zeros(bin_ends.shape),\n", " bin_ends, marker='_', color='black',\n", " markersize=20)\n", " ax.plot(np.zeros(s_values.shape), s_values,\n", " color='blue', marker='o', linestyle='None')\n", " ax.plot(np.zeros(sigma_values.shape), sigma_values,\n", " color='red', marker='o', linestyle='None')\n", " ax.set_xlim(-0.1, 1.0)\n", "\n", " plt.show()\n", "\n", "\n", "def show_tau_refine():\n", " rows, cols = 1, 1\n", " fig, ax = plt.subplots(rows, cols)\n", "\n", " ax.plot([-1, 1], [0, 0], color='black', marker='|', markersize=20)\n", " ax.plot([-1, 0, 1], [-0.2, -0.2, -0.2], color='black',\n", " marker='|', markersize=20)\n", " ax.plot([0], [0], color='red', marker='o', linestyle='None')\n", " ax.plot([-0.5, 0.5], [-0.2, -0.2], color='red',\n", " marker='o', linestyle='None')\n", "\n", " dx, dy = 0.5, -0.2\n", " ax.arrow(-dx * 0.1, dy * 0.1, -dx * 0.8, dy * 0.8,\n", " length_includes_head=True, color='blue')\n", " ax.arrow(dx * 0.1, dy * 0.1, dx * 0.8, dy * 0.8,\n", " length_includes_head=True, color='blue')\n", "\n", " remove_axis_frame(ax)\n", "\n", " ax.axis('scaled')\n", " ax.set_xlim(-1.1, 1.1)\n", " ax.set_ylim(-0.3, 0.1)\n", "\n", " ax.annotate(r'$\\tau$', xy=(0.0, 0.0), xytext=(-0.02, 0.05),\n", " fontsize=24)\n", " ax.annotate(r\"$\\tau_{+}'$\", xy=(0.0, 0.0), xytext=(-0.5 - 0.025, -0.325),\n", " fontsize=24)\n", " ax.annotate(r\"$\\tau_{+}''$\", xy=(0.0, 0.0), xytext=(0.5 - 0.025, -0.325),\n", " fontsize=24)\n", "\n", " width, height = fig.get_size_inches()\n", " fig.set_size_inches(2 * width, 2 * height, forward=True)\n", "\n", " plt.show()\n", "\n", "\n", "def show_sigma_coarsen():\n", " rows, cols = 1, 1\n", " fig, ax = plt.subplots(rows, cols)\n", "\n", " ax.plot([-1, 1], [-0.2, -0.2], color='black', marker='|', markersize=20)\n", " ax.plot([-1, 0, 1], [0, 0, 0], color='black',\n", " marker='|', markersize=20)\n", " ax.plot([0], [-0.2], color='red', marker='o', linestyle='None')\n", " ax.plot([-0.5, 0.5], [0, 0], color='red',\n", " marker='o', linestyle='None')\n", "\n", " dx, dy = 0.5, -0.2\n", " ax.arrow(-0.5 + dx * 0.1, dy * 0.1, dx * 0.8, dy * 0.8,\n", " length_includes_head=True, color='blue')\n", " ax.arrow(0.5 - dx * 0.1, dy * 0.1, -dx * 0.8, dy * 0.8,\n", " length_includes_head=True, color='blue')\n", "\n", " remove_axis_frame(ax)\n", "\n", " ax.axis('scaled')\n", " ax.set_xlim(-1.1, 1.1)\n", " ax.set_ylim(-0.3, 0.1)\n", "\n", " ax.annotate(r'$\\sigma_{\\minus}$', xy=(0.0, 0.0), xytext=(-0.02, -0.275),\n", " fontsize=24)\n", " ax.annotate(r'$\\sigma$', xy=(0.0, 0.0), xytext=(-0.5 - 0.025, 0.05),\n", " fontsize=24)\n", " ax.annotate(r\"$\\sigma'$\", xy=(0.0, 0.0), xytext=(0.5 - 0.025, 0.05),\n", " fontsize=24)\n", "\n", " width, height = fig.get_size_inches()\n", " fig.set_size_inches(2 * width, 2 * height, forward=True)\n", "\n", " plt.show()\n" ], "language": "python", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Overwriting make_partition_plots.py\n" ] } ], "prompt_number": 58 } ], "metadata": {} } ] }