{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thunder provides data structures, read/write patterns, and simple processing of spatial and temporal data. All operations in Thunder are designed to scale to very large data sets through the distributed comptuing engine [Spark](https://github.com/apache/spark), but also run on local data backed by `numpy` with an identical API.\n", "\n", "We'll walk through a very simple example here as an introduction. You don't need Spark to run this example. First, we'll loading some toy example time series data (this requires an internet connection)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import thunder as td" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "series = td.series.fromexample('fish')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``data`` is a ``Series`` object, which is a generic collection of one-dimensional array data sharing a common index. We can inspect it to see its `shape`, `dtype`, and the fact that it's currently in `local` mode." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Series\n", "mode: local\n", "dtype: uint8\n", "shape: (76, 87, 2, 20)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "series" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we had instead loaded using `data = td.series.fromexample('fish', engine=sc)` where `sc` is a `SparkContext`, it would be loaded in distributed `'spark'` mode and all operations would be parallelized." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A `Series` object is just a wrapper for an n-dimensional array, where the final axis is an indexed one-dimensional array (typically a time series). First, we'll extract a random subset of records, after first filtering for standard deviation, and normalizing by a baseline, and then convert to a local `numpy` array and plot. Here and elsewhere, we'll use `seaborn` for styling figures, but this is entirely optional." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set_style('darkgrid')\n", "sns.set_context('notebook')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAFVCAYAAADCLbfjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUSQktIUQQogiIaEthBBCFIn/B8jh67CuibliAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "examples = series.filter(lambda x: x.std() > 6).normalize().sample(100).toarray()\n", "plt.plot(series.index, examples.T);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can compute statistics on series data; here we compute the fourier amplitude and phase and plot a phase histogram." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "phases = series.filter(lambda x: x.std() > 6).flatten().fourier(freq=1)[:,1].toarray()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAesAAAFVCAYAAADPM8ekAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngHHEGgAA44g1AADGEWsAAIwj1gAAGPe/tGfe3z1OvFQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(phases);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this ``Series``, since the initial dimensions correspond to spatial coordinates, we can compute a statistic on each series, convert to a local array, and look at it as an image. Here, we compute the mean of each series." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "statistic = series.map(lambda x: x.mean()).toarray()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(76, 87, 2)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "statistic.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To look at this array as an image, we'll use a helper function from the `showit` package." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhkAAAEHCAYAAAADLlT9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from showit import tile\n", "tile(statistic, axis=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The other primary data type in Thunder is `images`. Here we'll load an example of these data." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "images = td.images.fromexample('mouse')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Images\n", "mode: local\n", "dtype: int16\n", "shape: (20, 64, 64)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "images" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An `Images` object is also a wrapper for an n-dimensional array, where the first dimension indexes the images, the remaining dimensions are the images (if 2d) or volumes (if 3d)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although `images` is not an array, we can index into it as though it was one. We can also pass it to functions that expect arrays, like plotting functions, and it'll automatically be converted to one; above we explicitly converted to an array, but here we'll skip that. Let's look at the first image." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAacAAAGmCAYAAADYs0s9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nNI6LkyRpHBcnSdI4/wMObhdEThJ5ZQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from showit import image\n", "single = images[0, :, :]\n", "image(single);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can apply image filtering operations to image image. If data are distributed, this is a great way to apply filtering in parallel over a large data set. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAacAAAGkCAYAAACVe+o2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "filtered = images.gaussian_filter(3).subsample(3)[0, :, :]\n", "image(filtered);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Both `Images` and `Series` data can be provided as input to various other packages associated with `thunder`, including `thunder-registration`, `thunder-regression`, and `thunder-factorization`. See the other tutorials for more!" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }