{ "cells": [ { "cell_type": "markdown", "source": [ "# Working with Array Data" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Data frames are a great choice when your data can be organized as a table (i.e., laid out in rows and columns), but what if your data are naturally multidimensional? What if you need to perform serious number crunching — matrix algebra, signal, or image processing — in order to get to a result? For these needs the NumPy package provides a general data type, the n-dimensional array or ndarray. This data type is so powerful that it forms the basis for most serious numerical processing in Python, including Pandas, SciPy, and image processing packages like scikit-image." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "In this lesson, we'll get you used to working with arrays: how to learn about them, select sets of data within them, and plot them. Again, we'll only cover the basics, but the NumPy documentation is thorough and easy to search on the web." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "# Warm-up: Lists" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Lists are one of the fundamental data types in Python. A list is, well, a list of objects:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 1, "source": [ "a = 1.5\n", "b = 'spam'\n", "mylist = [2, 7, a, 'eggs', b]\n", "print(mylist)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[2, 7, 1.5, 'eggs', 'spam']\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Lists are defined with using square brackets, and can contain variables of any type, separated by commas. \n", "\n", "Again, elements of a list can be anything even other lists:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 2, "source": [ "another_list = ['pooh', 'piglet']\n", "mylist.append(another_list) # we can use this to append to a list (in-place)\n", "print(mylist)\n", "print(len(mylist))\n", "\n", "mylist = mylist + [1, 1.7, -2] # concatenation is easy!\n", "print(mylist)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[2, 7, 1.5, 'eggs', 'spam', ['pooh', 'piglet']]\n", "6\n", "[2, 7, 1.5, 'eggs', 'spam', ['pooh', 'piglet'], 1, 1.7, -2]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "We can access the elements of a list using square brackets, just as we did with Pandas. Python is a very consistent language, so the pattern \"get an item using square brackets\" will show up over and over again." ], "metadata": {} }, { "cell_type": "code", "execution_count": 3, "source": [ "print(mylist[0]) # first element\n", "print(mylist[2]) # third element\n", "print(mylist[-1]) # last element\n", "print(mylist[-2]) # penultimate element" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "2\n", "1.5\n", "-2\n", "1.7\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "We can also use a technique called slicing to get subsequences from the list:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 4, "source": [ "print(mylist[:]) # all elements\n", "print(mylist[1:3]) # elements >= 1 and < 3 (note that element 3 is *not* included)\n", "print(mylist[:-1]) # all but last element\n", "print(mylist[3:]) # elements 3 to end\n", "print(mylist[::2]) # every other element" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[2, 7, 1.5, 'eggs', 'spam', ['pooh', 'piglet'], 1, 1.7, -2]\n", "[7, 1.5]\n", "[2, 7, 1.5, 'eggs', 'spam', ['pooh', 'piglet'], 1, 1.7]\n", "['eggs', 'spam', ['pooh', 'piglet'], 1, 1.7, -2]\n", "[2, 1.5, 'spam', 1, -2]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Note that we can use a *slice* object inside the brackets. This object is of the form start:stop:step. Note that the start element is included, but the stop element is not. Any of these arguments can be omitted, in which case \n", "* start is assumed to be 0\n", "* stop is assumed to be len(mylist)\n", "* step is assumed to be 1" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "# Warm-up: Lists of lists" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "In cases where we have a matrix of data we want to represent, a natural way to do that is as a list of lists:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 5, "source": [ "mydata = [[1, 2, 3], [4, 5, 6]]\n", "print(mydata)\n", "print(len(mydata))" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[1, 2, 3], [4, 5, 6]]\n", "2\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "This is a nested list. It has two elements:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 6, "source": [ "mydata[0]" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "[1, 2, 3]" ] }, "metadata": {}, "execution_count": 6 } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "and we can get individual data by accessing the list inside a list" ], "metadata": {} }, { "cell_type": "code", "execution_count": 7, "source": [ "print(mydata[0][1])" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "2\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "We can think of this in analogy with a 2 x 3 matrix, where the first index gives the row, and the second index gives the column.\n", "\n", "In this case, mydata[0][1] instructs us to get the 0th element of mydata (the first row), and the 1st element from that (the second column)." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "However, there are some drawbacks for using lists to represent large arrays of data:\n", "- Lists are flexible in that the elements of the list can be of any type, but this makes them slower and less memory-efficient than arrays where all the elements are of the same type (e.g., integer or decimal numbers).\n", "- It's pretty clear what mydata[0][1] does, but for arrays with many dimensions, we might like to write something simpler, like mydata[0, 1]. Doing this with lists gives an error.\n", "- We would also like to do math with matrices, but since lists can contain anything, Python lacks a notion of math operations on lists" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "The NumPy package resolves these issues by defining the ndarray..." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "# The NumPy array:" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "If we already have a list of lists, NumPy gives us a clear way to convert it to an array:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 8, "source": [ "import numpy as np # this nickname (numpy = np) is so common as to be ubiquitous" ], "outputs": [], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 9, "source": [ "myarray = np.array(mydata)\n", "print(myarray)\n", "print(type(myarray))" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[1 2 3]\n", " [4 5 6]]\n", "\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Note that the myarray variable is a numpy.ndarray, and that it prints a little prettier than the list of lists, making clear that it's a 2 x 3 matrix. In fact, just like with Pandas, we can find out the dimensions of an array with the shape attribute (note again the consistency of syntax across data types in Python):" ], "metadata": {} }, { "cell_type": "code", "execution_count": 10, "source": [ "print(myarray.shape)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "(2, 3)\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "We can use some of the same syntax as before:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 11, "source": [ "print(myarray[0])\n", "print(myarray[0].shape)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[1 2 3]\n", "(3,)\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Just as before, the 0th element is the first row. In this case, however, the 0th element is an array of shape (3,), a vector of length 3. We will see that selecting rows or columns from an array returns a *view* of that array, with dimensions correspondingly reduced.\n", "\n", "Along the same lines:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 12, "source": [ "print(myarray[1])\n", "print(myarray[1][0])\n", "print(myarray[1][1:])" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[4 5 6]\n", "4\n", "[5 6]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "But we can now use a more natural notation:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 13, "source": [ "print(myarray[1, 0])\n", "print(myarray[1, 1:])\n", "print(myarray[:, 0])" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "4\n", "[5 6]\n", "[1 4]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "And this is just the tip of the iceberg. You can use slicing along any dimension of an array, arrays to index into arrays, and much more. See the [SciPy docs](http://docs.scipy.org/doc/numpy/user/basics.indexing.html) for details." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "# Loading data" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "But let's move on to a real example:" ], "metadata": {} }, { "cell_type": "code", "execution_count": null, "source": [ "import os\n", "my_dir = os.getcwd() # get current working directory\n", "\n", "target_dir = os.path.join(my_dir, 'data/')\n", "!wget -P \"$target_dir\" \"http://people.duke.edu/~jmp33/dibs/arraydata.npy\" # download csv to data folder\n", "\n", "# if this doesn't work, manually download arraydata.npy from https://people.duke.edu/~jmp33/dibs/ \n", "# to your local machine, and upload it to data folder" ], "outputs": [], "metadata": {} }, { "cell_type": "markdown", "source": [ "These data are in .npy format, which is NumPy's native array format. Numpy is capable of saving arrays in compressed format (.gz) or in plain text (.txt) if arrays are 2-dimensional. Bear in mind that NumPy and SciPy can also be used to read in data from other common formats including those used by Matlab." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Now let's load the data" ], "metadata": {} }, { "cell_type": "code", "execution_count": 14, "source": [ "arr = np.load('data/arraydata.npy')" ], "outputs": [], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Well, that was easy!" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Let's see what we can learn about this variable we just loaded data into:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 15, "source": [ "print(type(arr))\n", "print(arr.shape)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "\n", "(91, 109, 91)\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "We see that this type of object is a numpy.ndarray, as expected, and that its shape is given by three numbers. That is, it's a *three-dimensional* array!" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "What does it look like?" ], "metadata": {} }, { "cell_type": "code", "execution_count": 16, "source": [ "print(arr)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[[0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " ..., \n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]]\n", "\n", " [[0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " ..., \n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]]\n", "\n", " [[0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " ..., \n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]]\n", "\n", " ..., \n", " [[0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " ..., \n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]]\n", "\n", " [[0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " ..., \n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]]\n", "\n", " [[0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " ..., \n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]\n", " [0 0 0 ..., 0 0 0]]]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "That probably doesn't seem very helpful. In general, with large arrays, we simply can't look at all the data. As usual, the way we will address this is by plotting. However, we can't plot all the dimensions of the array at once..." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "# Plotting array data" ], "metadata": {} }, { "cell_type": "code", "execution_count": 17, "source": [ "import matplotlib.pyplot as plt # this is also common; pyplot contains most of the common functions\n", "%matplotlib inline " ], "outputs": [], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "So we would like to plot our data (to see it better), but first, we need to select a subset of the data we can actually plot. The way we will do this is by taking *slices* through the data. For instance, if we do" ], "metadata": {} }, { "cell_type": "code", "execution_count": 18, "source": [ "slc = arr[64, :, :]\n", "print(slc.shape)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "(109, 91)\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Just as before, we've asked for position 64 along axis 0, with all elements in axes 1 and 2. Just as with a coordinate grid, fixing one coordinate has left us two coordinates unspecified, so the result is a 2d array." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "To view this array, we can think of plotting it as an image, where the value of the array entry becomes an image intensity value:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 19, "source": [ "# the matplotlib functiont to show a matrix is matshow\n", "plt.matshow(slc)" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 19 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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" }, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Hmmmm. What if we instead plotted this as an image? (matshow is mostly for looking at matrices. The following command is better for visualizing data that are a gridded version of smooth information, like an image. You may often want to try this both ways.)" ], "metadata": {} }, { "cell_type": "code", "execution_count": 20, "source": [ "plt.imshow(slc, cmap='gray') # cmap is for colormap" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 20 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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" }, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Let's take another slice, this time letting axes 0 and 1 vary:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 21, "source": [ "plt.imshow(arr[:, 48, :], cmap='gray')" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 21 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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" }, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "So the array in question is actually a 3d image! And by fixing one of the coordinate dimensions of the array, we have reduced the 3d image to a 2d image. Note also a few important conventions:\n", "- For MRI images, the data array indices correspond to x, y, and z coordinates. These are typically in RAS+ convention, where x increases to the Right, y increases as we move Anterior, and z increases as we move Superior. \n", "- Fixing one coordinate (z above) gives a 2d array with x and y coordinates. However, in the image, the x direction (left-right) is plotted up-down, while the y direction (anterior-posterior) is plotted left-right. This is because functions like matshow and imshow follow the matrix convention, in which the first index is for rows and the second index is for columns. This is typically what we want: the rows of the matrix become the rows of the image.\n", "- Along the same lines, the vertical axis increases as one moves *down*, which is the opposite of normal plotting convention but the most sensible for matrices, where row index increases as we move down. When plotting matrices as data, make sure you know which convention is being used.\n" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "# Activity: localizing a structure" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "The orbitofrontal cortex is an area of the brain known to be involved in a large number of cognitive functions, particularly related to reward and decision making. Suppose you perform a study and find a large BOLD (blood oxygenation level-dependent) signal response at coordinates (50, 85, 25). " ], "metadata": {} }, { "cell_type": "markdown", "source": [ "## Exercise:" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Plot three sections through the brain that contain this point, showing the point with a bright red dot in each one.\n", "\n", "Hints:\n", "- Go ahead and issue the command \n", "\n", "plt.figure(figsize=(15, 15))\n", "\n", "before you plot anything. This will make the figure size bigger and easier to see.\n", "- It will be helpful to use the subplot command ([example](http://matplotlib.org/examples/pylab_examples/subplot_demo.html)) to arrange the three plots into one. You will need to specify how many rows your images should be arranged into, how many columns, and which image you want (note that, as opposed to typical Python, these indices start at 1).\n", "- Use plt.scatter ([example](http://matplotlib.org/examples/shapes_and_collections/scatter_demo.html)) to place a single dot on each image.\n", " - You will have to specify only one x and one y, but keep in mind that the first number is horizontal and the second number is vertical, as with standard plotting (but not matrix plotting)!\n", " - You will need to supply both the color and s (size) arguments." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "## Solution:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 23, "source": [ "cc = (50, 85, 25)\n", "\n", "plt.figure(figsize=(15, 15))\n", "plt.subplot(1, 3, 1)\n", "plt.imshow(arr[cc[0], :, :], cmap='gray')\n", "plt.scatter(cc[2], cc[1], color='r', s=30)\n", "plt.subplot(1, 3, 2)\n", "plt.imshow(arr[:, cc[1], :], cmap='gray')\n", "plt.scatter(cc[2], cc[0], color='r', s=30)\n", "plt.subplot(1, 3, 3)\n", "plt.imshow(arr[:, :, cc[2]], cmap='gray')\n", "plt.scatter(cc[1], cc[0], color='r', s=30)" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 23 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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" }, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "# Array Math:" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "The benefit of storing data in arrays is not merely that it makes organizing multidimensional data easier. DataFrames have many more advantages in this way and automate many powerful transformations. Instead, arrays are primarily useful to us because they make numerical operations easier.\n", "\n", "Consider, for example, the following array" ], "metadata": {} }, { "cell_type": "code", "execution_count": 24, "source": [ "aa = np.array([[5, -7, 3.4], [6, -1, -1]])\n", "print(aa)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[ 5. -7. 3.4]\n", " [ 6. -1. -1. ]]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "If we write something like\n", "\n", "\n", "aa + 1.1\n", "\n", "\n", "we typically mean that we want to add 1.1 to each entry, and this is exactly what NumPy does:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 25, "source": [ "aa + 1.1" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([[ 6.1, -5.9, 4.5],\n", " [ 7.1, 0.1, 0.1]])" ] }, "metadata": {}, "execution_count": 25 } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "## Broadcasting" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "But NumPy is much smarter than that. If we creat two more arrays" ], "metadata": {} }, { "cell_type": "code", "execution_count": 26, "source": [ "bb = np.array([3, -3])\n", "cc = np.array([7, 4, 0])" ], "outputs": [], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "We might want to add them, but addition is typically only defined for matrices of the same shape:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 27, "source": [ "print(aa.shape)\n", "print(bb.shape)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "(2, 3)\n", "(2,)\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Now what we could want in this case is for NumPy to treat bb as having shape (2, 1) (a column vector) and simply add this column to *each* column of aa. This is mathematically equivalent to creating a new array of shape (2, 3) with one copy of bb in each column, which is then the same size as aa.\n", "\n", "That is, we could do" ], "metadata": {} }, { "cell_type": "code", "execution_count": 28, "source": [ "# make a matrix by repeating the bb column twice\n", "bbb = np.c_[bb, bb, bb] # concatenate along columns\n", "print(bbb)\n", "print(bbb.shape)\n", "\n", "print(bbb + aa)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[ 3 3 3]\n", " [-3 -3 -3]]\n", "(2, 3)\n", "[[ 8. -4. 6.4]\n", " [ 3. -4. -4. ]]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "But clearly, this is difficult to type out if aa is of shape (2, 5000) and bb is of shape (2,). If we ask NumPy to multiply these things, it should make some reasonable guesses as to how to expand the dimensions of the arrays in order to do this and complain if it can't.\n", "\n", "This feature of NumPy goes under the name of *broadcasting*. There are very detailed rules about how NumPy makes the shapes of different arrays match up, which are detailed [here](http://wiki.scipy.org/EricsBroadcastingDoc). In the simplest cases this, happens like so:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 29, "source": [ "print(bb.shape)\n", "print(bb[:, np.newaxis].shape)\n", "print(aa + bb[:, np.newaxis])" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "(2,)\n", "(2, 1)\n", "[[ 8. -4. 6.4]\n", " [ 3. -4. -4. ]]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Basically, we use the np.newaxis keyword to add an additional dimension (of size 1) to bb in the position we choose, making bb of shape (2, 1), and then NumPy sees that aa and bb share a first dimension and makes a good guess about how to broadcast them together.\n", "\n", "Similarly, the following also works:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 30, "source": [ "print(aa + cc[np.newaxis, :])" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[ 12. -3. 3.4]\n", " [ 13. 3. -1. ]]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "## Altering arrays" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Clearly, another thing we might want to do to our arrays is change their entries. In the case of changing single entries, this is pretty easy to do:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 31, "source": [ "print(aa)\n", "aa[0][1] = 5\n", "print('-----------------')\n", "print(aa)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[ 5. -7. 3.4]\n", " [ 6. -1. -1. ]]\n", "-----------------\n", "[[ 5. 5. 3.4]\n", " [ 6. -1. -1. ]]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "But we can assign slices as well:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 32, "source": [ "print(aa)\n", "aa[1] = 0.1\n", "print('-----------------')\n", "print(aa)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[ 5. 5. 3.4]\n", " [ 6. -1. -1. ]]\n", "-----------------\n", "[[ 5. 5. 3.4]\n", " [ 0.1 0.1 0.1]]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 33, "source": [ "print(aa)\n", "aa[1] = [1, 2, 3]\n", "print('-----------------')\n", "print(aa)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[ 5. 5. 3.4]\n", " [ 0.1 0.1 0.1]]\n", "-----------------\n", "[[ 5. 5. 3.4]\n", " [ 1. 2. 3. ]]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Note that in the latter case, we've actually assigned a *list*, not an array, to the slice aa[1], but NumPy is smart enough to convert it to an array before assigning it." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "**Important**: Notice how each time we perform an assignment above, we altered the original array, aa. This is almost always what we want. Often, our arrays are very large, and it costs less memory to only have one copy of a giant array, with different variables referring to slices of that array (like addresses). In NumPy parlance, we say that indexing or slicing returns a *view* of the array, not a *copy*.\n", "\n", "Be careful this distinction doesn't bite you. For instance" ], "metadata": {} }, { "cell_type": "code", "execution_count": 34, "source": [ "aaa = aa[0]\n", "print(aa)\n", "print('-----------------')\n", "print(aaa)\n", "print('-----------------')\n", "aaa[2] = -100\n", "print(aa)\n", "print('-----------------')\n", "print(aaa)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[ 5. 5. 3.4]\n", " [ 1. 2. 3. ]]\n", "-----------------\n", "[ 5. 5. 3.4]\n", "-----------------\n", "[[ 5. 5. -100.]\n", " [ 1. 2. 3.]]\n", "-----------------\n", "[ 5. 5. -100.]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Here, we simply assigned the name aaa to a view of aa; both variables still pointed to the same place in memory, so when we changed its value, it changed for both variables.\n", "\n", "Often, this is what we want. When we don't it's best to make a copy:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 35, "source": [ "aaa = aa[0].copy()\n", "print(aa) \n", "print('-----------------')\n", "print(aaa)\n", "print('-----------------')\n", "aaa[2] = 501\n", "print(aa)\n", "print('-----------------')\n", "print(aaa)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[ 5. 5. -100.]\n", " [ 1. 2. 3.]]\n", "-----------------\n", "[ 5. 5. -100.]\n", "-----------------\n", "[[ 5. 5. -100.]\n", " [ 1. 2. 3.]]\n", "-----------------\n", "[ 5. 5. 501.]\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "## Changing dimensions" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Finally, there are times when you would like to change which dimension corresponds to rows and which to columns (for instance, flipping an image around the diagonal). In the 2d case, this is equivalent to matrix transposition:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 36, "source": [ "print(aa)\n", "print('-----------------')\n", "print(aa.T)\n", "print('-----------------')\n", "print(aa.shape, aa.T.shape)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[[ 5. 5. -100.]\n", " [ 1. 2. 3.]]\n", "-----------------\n", "[[ 5. 1.]\n", " [ 5. 2.]\n", " [-100. 3.]]\n", "-----------------\n", "(2, 3) (3, 2)\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "For a matrix with more than two dimensions, transposition reverses the list of dimensions, so that the last becomes first, first becomes last, etc. You can also specify a custom reordering (see [here](http://docs.scipy.org/doc/numpy/reference/generated/numpy.transpose.html))." ], "metadata": {} }, { "cell_type": "code", "execution_count": 37, "source": [ "randarr = np.random.rand(5, 3, 7, 2, 6) # a 5 x 3 x 7 array of random numbers\n", "print(randarr.shape, randarr.T.shape)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "(5, 3, 7, 2, 6) (6, 2, 7, 3, 5)\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "# Activity: Color Images" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "On computers, the simplest type of color image encoding is an M x N x 3 array. This represents an M x N image where each of the final dimensions represents a unique color channel (red, green, and blue). Matplotlib understands this, and will handle this automatically." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "## Exercise:" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Download any png file from the internet and save it to your working directory. (You may try using a .jpg or other file formats, but they are not guaranteed to work.) Then use imread and imshow to display it in the notebook like so:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 38, "source": [ "img = plt.imread('marmoset.jpg')\n", "print(img.shape)\n", "plt.imshow(img)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "(153, 128, 3)\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 38 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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" }, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Now use what you've learned about arrays to adjust the red-green-blue color balance of the image." ], "metadata": {} }, { "cell_type": "code", "execution_count": 39, "source": [ "img2 = img.copy()\n", "img2[:, :, 2] = 0\n", "plt.imshow(img2)" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 39 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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" }, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 40, "source": [ "img3 = img.copy()\n", "img3[:, :, 0] = img3[:, :, 0] * 1.3\n", "plt.imshow(img3)" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 40 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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" 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" }, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "### Challenge Questions:" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "1. Why did the original image not change? When would the original image change?\n", "1. Can you flip the image horizontally?\n", "1. Can you rotate the image$90^\\circ$?" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "If you're interested in learning more about images in Matplotlib, you can read the tutorial [here](http://matplotlib.org/users/image_tutorial.html). " ], "metadata": {} }, { "cell_type": "markdown", "source": [ "# Learning More:" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "NumPy is a powerful library, with incredibly flexible syntax, but for beginners, the code can be a little cryptic. Some suggested reading:\n", "\n", "- An extensive tutorial on NumPy is available [here](http://wiki.scipy.org/Tentative_NumPy_Tutorial). \n", "- Once you're familiar with basic Python, [Python for Data Analysis](http://shop.oreilly.com/product/0636920023784.do) is a good book, covering some NumPy and SciPy, but particularly focused on Pandas (Wes McKinney, the author, was also the creator and lead developer of Pandas)." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "# Bonus: NaN and missing data" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "If you analyze data for any amount of time, you will have to deal with missing data. Sometimes data are lost — subjects withdraw, files are lost, or a given condition was not run for a particular session — and in that case, we would like a way to indicate that a matrix of data has missing entries.\n", "\n", "Other times, we have data, but some quantity we calculate turns out to be ill-defined. For instance, we might want to standardize our data, subtracting the mean and dividing by the standard deviation (this results in data with mean 0 and standard deviation 1 — a convenient thing to have). \n", "\n", "But what if we only have one data point? In this case the standard deviation of that data set is 0, and division by 0 is undefined.\n", "\n", "Clearly these are different types of situations. In the R language, the first case of missing data is coded NA (not available), while the second case is coded NaN (not a number). \n", "\n", "Python handles the second case in exactly the same way (NaN is an international standard), whereas the second case is handled with masking, in the form of NumPy's masked arrays." ], "metadata": {} }, { "cell_type": "code", "execution_count": 42, "source": [ "print(np.array([1., np.inf, -7, 0]) / 0.0)\n", "print(np.inf / np.inf)" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[ inf inf -inf nan]\n", "nan\n" ] }, { "output_type": "stream", "name": "stderr", "text": [ "/Users/jmxp/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:1: RuntimeWarning: divide by zero encountered in true_divide\n", " if __name__ == '__main__':\n", "/Users/jmxp/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:1: RuntimeWarning: invalid value encountered in true_divide\n", " if __name__ == '__main__':\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Note that some constants like$\\infty$and NaN are accessible within the NumPy package as np.inf, np.nan." ], "metadata": {} }, { "cell_type": "code", "execution_count": 43, "source": [ "# we can test for nan:\n", "myarr = np.array([1, -3, np.nan, 8, np.nan])\n", "np.isnan(myarr)" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([False, False, True, False, True], dtype=bool)" ] }, "metadata": {}, "execution_count": 43 } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "We can use a boolean (True/False) array to index into a data array of the same size. When the index array is true, we pull out the corresponding elements of the data array:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 44, "source": [ "nan_arr = np.isnan(myarr)\n", "\n", "# get entries that are not NaN (~ is negation)\n", "myarr[~nan_arr]" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([ 1., -3., 8.])" ] }, "metadata": {}, "execution_count": 44 } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "## Ignoring NaNs" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Something that often happens is that we want to ignore NaNs in our data. Perhaps we want to take a mean that does not take into account any of these undefined entries:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 45, "source": [ "print(myarr.mean())\n", "print(np.nanmean(myarr))" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "nan\n", "2.0\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "In addition, Matplotlib ignores NaN entries when plotting:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 46, "source": [ "xx = np.linspace(0, 10, 500) # make 500 uniformly spaced points between 0 and 10\n", "yy = 1.5 * xx - 2\n", "plt.plot(xx, yy)" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "[]" ] }, "metadata": {}, "execution_count": 46 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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}, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 47, "source": [ "yy[240:300] = np.nan\n", "plt.plot(xx, yy)" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "[]" ] }, "metadata": {}, "execution_count": 47 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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" }, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "## Masking Data" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Masking is a way of adding additional information to an ndarray to tell Python that a given entry is missing or otherwise invalid. We might want to do this for several reasons:\n", "\n", "- The data are legitimately missing, as in the examples above.\n", "- The data are censored. That is, the reading from our sensor is pegged at some maximum value,$M$, and so all we know is that$x \\ge M\$.\n", "- The measurement is somehow invalid. For instance, a negative number for a length.\n", "\n", "In all of these cases, we might want to mask the invalid data.\n", "\n", "For example:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 48, "source": [ "npts = 500\n", "xx = np.linspace(0, 10, npts)\n", "yy = np.sin(xx) + 0.8\n", "\n", "plt.plot(xx, yy)" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "[]" ] }, "metadata": {}, "execution_count": 48 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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" }, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Let's say all the readings below 0 are invalid. We can fix this. The [numpy.ma module](http://docs.scipy.org/doc/numpy/reference/maskedarray.html) contains functions relating to masked arrays, including functions to mask data inside a range, greater or less than a given value, or where a particular truth condition is met:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 49, "source": [ "masked_yy = np.ma.masked_less(yy, 0) # mask where yy < 0" ], "outputs": [], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 50, "source": [ "print(yy.mean())\n", "print(masked_yy.mean())" ], "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "0.982989174926\n", "1.14678171355\n" ] } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Clearly, the second average is higher. This is because it excludes all the negative numbers.\n", "\n", "Similarly, plots exclude masked values:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 51, "source": [ "plt.plot(xx, masked_yy)" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "[]" ] }, "metadata": {}, "execution_count": 51 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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UTJmiI9W6dX1HEi7XXAOT8rK+Pvcildw//FBvm7p29R1J+Fx3Xfz3hDTBmThR74DNN/XurfsUf/GF70iqL1LJ/aWX9LbJRhtH6tdPR+5ffeU7EhN2X3wBs2ZpIjPfdPzx0Lat/n6iLlLJffLkeO/KXh0nnwwtWsDcub4jMWE3cya0bw+NG/uOJJziUpqJTHLfv19flH36+I4kvPr1symRJr1Jk6wkU5mS5H7okO9Iqicyyf3VV+GCC+CEE3xHEl4lyT2PveBMxBw6pK+Ra67xHUl4tWypkxTefNN3JNUTmeQ+aZKVZNJp21a3Slu1ynckJqwWLtS6cosWviMJt/79o1+aiURyd87q7ZkQ0UZiVpoxFZk40UbtmYhD3T0SyX3ZMl0iff75viMJP6u7m8pMmmTJPRMdOsD27brbWVRlshPTSBHZLiJLK/j5IBFZkvqYKyKtgw6ypEZYyL3bM9Wli+5kb43ETFmrV+vrohC306uqmjX1LjjKo/dMRu6jgKJKfr4WuMo5dxFwP/BEEIGVZvX2zNWrp0vKp071HYkJm5L3kXVTzUzUSzNp/292zs0FdlXy8zecc5+kvnwDaB5QbABs26Zb6Vlb0sxZacaUZ8oUHY2azHTrpg+gd+/2HUl2gv4bfhsQ6JhxyhTo0UP7LZvM9Omj+6t++aXvSExYfPqpJipr3ZG5Bg20++zMmb4jyU5gvRVFpDMwGKi0GW9xcfHXnycSCRKJRKXnnTzZdoqpqpNOglat4LXX7M1s1Cuv6D6pDRv6jiRaevXStif5zkHJZJJkMlmtc4jLYMWLiJwOTHbOtang522A8UBP59yaSs7jMrleif37oWlT3TGmSZOM/5kB7r8fPvoIHn7YdyQmDIYM0dlmd97pO5JoWb1aS8Jbtvid0CEiOOeqFEGmZRlJfZR30dPQxP69yhJ7NubM0VWpltirrk8fe6hqlHM6+uzVy3ck0XP22XD00fD2274jqbpMpkKOBuYBrURkg4gMFpGhIjIkdchvgcbA30RksYgsDCq4qVPtBZmttm21zrom0D+3JoqWLdNOqq1a+Y4kmnr31j+OUZNRWSawi1WxLHPeefCvf8HFF+cwqBgbPFh/d8OH+47E+PTgg7oR9l//6juSaJo+He67D15/3V8MuSzL5N26dbBrF7Rr5zuS6OrVy0ozRked1rs9e1ddpXc/H3/sO5KqCW1ynzoViopswUV1dO+uM2b27fMdifFl1y5YvBjSTEozlahXD66+WkfwURLa1Gn19uo77jho00bbJZvCNGOGjjyPOsp3JNEWxbp7KJP7vn2akHr08B1J9FlpprBNnWolmSD06qXbWEZpA49QJvfXXoMLL7RtwIJgyb1wHTpkd8BBOeMM3SgoSht4hDK522gjOG3bwief6EIwU1gWL9bS3Fln+Y4kHnr3jtZAKbTJ3UYbwahRA3r2jNaL0gTDZskEK2p199Ald5sCGTwrzRQmS+7B6thRt7DcscN3JJkJXXK3KZDB695dWznYlMjC8dFH8O672tXQBKNOHd0MZ9o035FkJnQp1EoywWvcGFq31gRvCsOMGTq3vW5d35HES5Tq7qFK7jYFMnesNFNYpk3TO2ATrKIi/cMZhSmRoUruNgUydyy5Fw7ndDWlJffgnXqqTol86y3fkaQXquRuJZncaddOH1RHeTd3k5nly3VFaosWviOJpx49otGKIFTJffp0nbZnglcyJfLll31HYnLNRu25VVQUjYeqoUnumzfD1q3Qvr3vSOKrRw+tF5p4mzbNnlvl0lVXaVnms898R1K5TDbrGCki20VkaSXH/EVE3heRt0WkbTaBzJihu43XrJnNvzaZ6N4dZs+GAwd8R2Jy5YsvYP58nbJncqNBA+jQQd9LYZbJyH0UUOFNnoj0Alo451oCQ4FHswlk+nQbbeRa06Zw5pmwYIHvSEyuzJmjLSeOOcZ3JPEWhdJM2uTunJsL7KrkkP7AM6ljFwCNROTEqgRx6BDMnKkjS5NbUXkYZLJj9fb8iML7KIiae3NgY6mvN6e+l7ElS3T642mnBRCNqVQUXpQme1Zvz482bbTmHuaGfKF4oGolmfzp2BHeeUenRZp4KZmUYHsO555I+AdKtQI4x2bg1FJfn5L6XrmKi4u//jyRSJBIJJg+He66K4BITFp162q/kVmzYMAA39GYIE2fbpMS8qmoCMaNg9tvD/7cyWSSZDJZrXOIcy79QSJnAJOdc63L+VlvYJhzro+IXAY87Jy7rILzuLLX27sXTjpJRxwNG2bxX2Cq7OGHYcUKeOwx35GYIA0cqM+tbr3VdySFYccOaNUKPvwQatfO7bVEBOecVOXfZDIVcjQwD2glIhtEZLCIDBWRIQDOuZeAdSKyGngM+ElVApgzR28jLbHnT48eWpvN4O+6iYiDB3U6sU1KyJ+mTXUjlLDOPktblnHODcrgmOHZBmD19vw77zyd6756NbRs6TsaE4TFizXZnHpq+mNNcEqmRIaxtbL3B6qW3PMvCg+DTNVYF0g/wvw+8prcN22C7dtt1yUfwvyiNFVngyQ/OnaElSth507fkRzJa3KfMQO6drWn+z506wbJJHz1le9ITHV9+qn2Orn6at+RFJ46dbTXzMyZviM5ktfkbqMNf44/Xuvt8+f7jsRUVzKpvU7q1/cdSWEK612wt+RuLQf8C+uL0lSN1dv9KnmoGrbZZ96S+9tv6+jRWg74Y8k9HuwO2K+WLaFWLV07Eibekru9IP274gpYtSqcD4NMZtau1R4nbdr4jqRwiYSzS6Ql9wJW8jDolVd8R2KyVfI+kiqtXTRBs+SesncvLFpkT/fDwEoz0Wb19nDo0gXmzYN9+3xHcpiX5P7qq/Ctb1nLgTAoSe5hexhk0vvqK90NqFs335GYY4+FCy+E11/3HclhXpK7lWTCo1UrvaVftcp3JKaqFi7UnbVOrNLWOCZXwnYX7C252xTIcLBWBNFljcLCJWzvo7wn940btVWmtRwIj7C9KE1m7A44XC69FD74QFuqhEHek/uMGbahQNh07aqtl/fv9x2JydQnn8CyZeHsRlioatWCzp3D04og78ndRhvh07ixtgG2VgTRMXu2rlOoV893JKa0MN0F5z25W8uBcArTi9KkZ8+twilMs88ySu4i0lNEVorIeyJyTzk/P0ZEJonI2yKyTERuqehctqFAOHXvbsk9SmbMsDvgMDrrLGjQAJYv9x1JZtvs1QBGAEXABcBAETm3zGHDgHecc22BzsAfRKTcXZ7sBRlOl10G77+v+0GacFu3TlsOtD5iR2MTBmG5C85k5H4p8L5zbr1z7itgDNC/zDEOODr1+dHATufcgfJOZsk9nOrU0RXD1oog/EomJVjLgXCKUnJvDmws9fWm1PdKGwGcLyJbgCXAHRWdzFoOhFePHpo4TLjZpIRw69xZWxF88YXfOIJ6oFoELHbONQPaAY+ISLnNBRo0COiKJnBhehhkynfwIMyaZS0HwqxRI7joIpg7128c5dbFy9gMlO66fkrqe6UNBh4AcM6tEZF1wLnAm2VPVlxc/PXniUSCRCJRpYBN7rRsCTVq6J6Q553nOxpTnjffhObNoVkz35GYypQMlLKd0ZRMJkkmk9WKQVyaYZqI1ARWAV2BrcBCYKBzbkWpYx4Bdjjn7hORE9GkfpFz7uMy53Lprmf8+tGPtAHSHRUW1oxP998PH38Mf/yj70hMZd54A4YOhSVLgjmfiOCcq9JTlrRlGefcQWA4MB14BxjjnFshIkNFZEjqsPuBK0RkKTAD+EXZxG6iISwPg0z5bApkNHzrW9pqZetWfzGkHbkHejEbuYfexx/DGWfolMi6dX1HY0r77DMtx2zfbpthR8ENN0D//vC971X/XDkZuZvCYq0IwuvVV7U5lSX2aPB9F2zJ3RzBVquGk7UciJbu3bWMduiQn+tbcjdH8D3iMOWz/u3RcuaZcMwx2r3TB0vu5gglrQg++sh3JKbExo36/4ftgxAtPgdKltzNEawVQfjMmKF992vYOzZSLLmb0LG6e7hYy4FoSiR0zvvnn+f/2pbcTbmsFUF4HDqkd1FWb4+eY47RUtprr+X/2pbcTblatTrcisD4tXgxHH+87YMQVb5KM5bcTblEbNZMWNgsmWiz5G5Cx1oAh4O1HIi2iy+GLVv0I58suZsKdekCc+bA/v2+Iylcn38OCxfaPghRVrOmznTK90DJkrupUJMmcO651orApzlz9IHc0UenP9aEl4/SjCV3Uymru/tlUyDjwUcrAkvuplKW3P2yh6nxcPrp2pQvqP7umbDkbiplrQj82bIFNm/W3uAm+vI9ULLkbipVpw5cdZW1IvBh5kx9qF2zpu9ITBBCmdxFpKeIrBSR90TkngqOSYjIYhFZLiKzgw3T+GSlGT+s3h4viYTOfNq7Nz/XS5vcRaQGMAIoAi4ABorIuWWOaQQ8AvR1zl0IfDsHsRpPrBVB/h06pCN3q7fHR8OGOud9zpz8XC+TkfulwPvOufXOua+AMUD/MscMAsY75zYDOOesQhsj1oog/5Yt0+mPZ57pOxITpHzeBWeS3JsDG0t9vSn1vdJaAY1FZLaILBKRAHYNNGFR0orAVqvmj+26FE/5TO61AjxPe6AL0ACYLyLznXOryx5YXFz89eeJRIJEIhFQCCaXuneHZ56Bn/3MdySF4eWX4Y47fEdhgtaunW5wvmkTnHJKxcclk0mSyWS1riUuTSFVRC4Dip1zPVNf/xJwzrmHSh1zD1DPOXdf6ut/AFOdc+PLnMulu54Jp507tUTw4YdQt67vaOJtzx446STYutVWpsbRTTdBUREMHpz5vxERnHNSletkUpZZBJwtIqeLSB3gJmBSmWMmAp1EpKaI1Ac6ACuqEogJN2tFkD/JJFx6qSX2uMpXaSZtcnfOHQSGA9OBd4AxzrkVIjJURIakjlkJTAOWAm8Ajzvn3s1d2MYHmxKZHy+/DD17+o7C5Er37joTKtetCNKWZQK9mJVlIu3VV+F//gcWLfIdSbydfTZMmABt2viOxOTK+efDP/+pUyMzkauyjDEAXH45rFplrQhyafVqbfPburXvSEwu5eMu2JK7yVidOtpX3FoR5M7LL+vDNqnSGM1EjSV3Ezo9esC0ab6jiC+rtxeGq6+GN9/UmVG5YsndVIm1Isid/ft1aXq3br4jMbnWoAFccok+x8oVS+6mSlq10nnuy5b5jiR+5s6FCy7Qaacm/nJdmrHkbqpEBHr1gqlTfUcSPyX1dlMYLLmb0OnVC156yXcU8WP19sLStq3OPNuwITfnt+RuqqxzZ3jrLfjkE9+RxMemTbrz0iWX+I7E5EuNGof3Vs3J+XNzWhNn9etDx466ys4EY9o0faPbrkuFJZezzyy5m6xY3T1Y06ZZSaYQFRXpIOnAgeDPbcndZKUkuduUyOo7cEDf4LalXuE5+WQ444zcNOSz5G6y0rIlHHUULF3qO5LoW7gQTj0VmjXzHYnxoU8fmDIl+PNacjdZsSmRwbFZMoXNkrsJHUvuwZg61ZJ7IbvkEti2LfgpkZbcTdYSCZ0SuXu370iia+tW7QTZqZPvSIwvNWvqH/eg145YcjdZq19fk5JNicze1Kk6BbJ2bd+RGJ9yUZrJKLmLSE8RWSki76X2S63ouEtE5CsRuT64EE2YWWmmel58Efr29R2F8a1HD20itm9fcOdMm9xFpAYwAigCLgAGisi5FRz3ILrdnikQNiUye/v3a2/8Xr18R2J8a9wYLrpI988NSiYj90uB951z651zXwFjgP7lHPdTYBywI7jwTNi1bKnlmSVLfEcSPXPm6HZrJ5zgOxITBkGXZjJJ7s2BjaW+3pT63tdEpBlwrXPu74DtIVNgeve2RmLZmDJF39DGwOH3UVB3wbWCOQ0PA6Vr8RUm+OLi4q8/TyQSJBKJgEIwvvTtC/feC7/6le9IosM5rbePG+c7EhMWrVvDl1/qPsXbtiVJVrNGIy7NnwkRuQwods71TH39S8A55x4qdczakk+B44G9wBCrG1DzAAAKEUlEQVTn3KQy53LprmeiZ/9+OPFEfVGeeKLvaKJh1Sro2hU2brT9Us1hQ4fqhjg///k3vy8iOOeq9ErJpCyzCDhbRE4XkTrATcA3krZz7qzUx5lo3f0nZRO7ia+6dXU6Xy5W2cVVSUnGErsprU+f4EqcaZO7c+4gMByYDrwDjHHOrRCRoSIypLx/EkxoJkquuQYmT/YdRXS8+KLV282RunbVXkOfflr9c6UtywTJyjLxtXMnnHkm7NgB9er5jibcPvlEG4Vt3aobJRtTWlERDBkCAwYc/l6uyjLGpNWkic7TnTXLdyThN326bnZiid2Up2/fYO6CLbmbwFhpJjNTptiqVFOx/v31NVLdDTwsuZvA9Ounyd0qbxU7cMCSu6ncaadp2e7116t3HkvuJjDnnKMbeCxe7DuS8Jo3T9+4p5/uOxITZtdeCxMnVu8cltxNYES0NDPJJsFW6D//0TeuMZXp319fK9W5C7bkbgJVUpoxR3JO37D9y+vMZEwpbdro62X58uzPYcndBKpjR/jgA9i0yXck4bNsmb5h27TxHYkJO5HDo/dsWXI3gapdW3eVsdH7kSZO1JKMrUo1mahu3d2SuwnctddWb8QRV1ZvN1XRqZPeBW/cmPbQcllyN4Hr1Qvmz4ddu3xHEh4bNsD69Vq2MiYTtWppi4psJyhYcjeBa9gQunSx0kxpkybp3PZaQTXZNgWhOnV3S+4mJwYMgPHjfUcRHlaSMdkoKoIFC7L7t9Y4zOTErl26UGfLFh3JF7KPP4YzzrBGYSY7/frBiy9a4zATEscdB1dcoZtnF7qJE6FbN0vsJjvDhmX37yy5m5y5/norzQA8/zx8+9u+ozBR1bNndv/OyjImZ3bs0C3Dtm0r3B7vJeWpzZvh6KN9R2OiKmf93EWkp4isFJH3ROSecn4+SESWpD7mikjrqgRh4qlpU+3xPmOG70j8KSnJWGI3+ZY2uYtIDWAEUARcAAwUkXPLHLYWuMo5dxFwP/BE0IGaaBowACZM8B2FP1aSMb6kLcuIyGXAvc65Xqmvfwk459xDFRx/LLDMOXdqOT+zskyB2bgR2rbVmSJ16viOJr+sJGOCkquyTHOg9ALYTanvVeQ2wOZIGEB7l59/Pkyb5juS/Js4UTc8tsRufAh0vZyIdAYGA50qOqa4uPjrzxOJBIlEIsgQTAgNHAjPPafzdQvJ88/DzTf7jsJEUTKZJJlMVuscmZZlip1zPVNfl1uWEZE2wHigp3NuTQXnsrJMASqZNbN5c+HM9d69W7dLs5KMCUKuyjKLgLNF5HQRqQPcBHyjlY2InIYm9u9VlNhN4WraFDp0gBdf9B1J/kycqP11LLEbX9Imd+fcQWA4MB14BxjjnFshIkNFZEjqsN8CjYG/ichiEVmYs4hNJJWUZgrF6NH632yML7aIyeTF7t06c2T9ejj2WN/R5Na2bXDeeVqSqV/fdzQmDnK2iMmY6jr2WC1TvPCC70hyb8wY3SjcErvxyZK7yZtCKc08+yx897u+ozCFzsoyJm8+/xyaNYNVq+DEE31HkxurVkEioRuE16zpOxoTF1aWMaFWv76WK+I8en/2Wb1DscRufLPkbvLqllvgqad8R5Ebzmlyt4VLJgwsuZu8SiS058rbb/uOJHjz5mn/nPbtfUdijCV3k2c1asAPfgBPP+07kuCNHAm33gpSpcqoMblhD1RN3q1Zo1vwbdwYn06Rn32m7QZWrICTTvIdjYkbe6BqIqFFCzjnnHjtr/r883D11ZbYTXhYcjde3HILjBrlO4rglJRkjAkLK8sYLz77TNsRvPMOnHyy72iqZ+VK6NwZNmyA2rV9R2PiyMoyJjKOPhpuvFFHvFH35JPw/e9bYjfhYiN3483ixdC/P6xbF91FP/v36x3Iq6/qcwRjcsFG7iZS2rXTdgQvveQ7kuyNGwetW1tiN+Fjyd149eMfw9//7juK7I0YAcOG+Y7CmCNllNxFpKeIrBSR90TkngqO+YuIvC8ib4tI22DDNHF1442wcKGWZqLmrbdgyxbo29d3JMYcKW1yF5EawAigCLgAGCgi55Y5phfQwjnXEhgKPJqDWGOlupvfxsVRR0EikeSxx3xHUnWPPAK33w61Atxm3l4Xh9nvonoyGblfCrzvnFvvnPsKGAP0L3NMf+AZAOfcAqCRiMS0qWsw7IV7WLNmSUaO1JbAUbFzJ0yYALfdFux57XVxmP0uqieT5N4c2Fjq602p71V2zOZyjjGmXI0bazuCf/3LdySZe+op6NcPTjjBdyTGlC/AG0pjsnfnnfpg8kc/ikbjrdtugz17fEdhTMXSznMXkcuAYudcz9TXvwScc+6hUsc8Csx2zo1Nfb0SuNo5t73MuWySuzHGZKGq89wzGbkvAs4WkdOBrcBNwMAyx0wChgFjU38MdpdN7NkEZ4wxJjtpk7tz7qCIDAemozX6kc65FSIyVH/sHnfOvSQivUVkNbAXGJzbsI0xxlQmr+0HjDHG5EfeVqhmshCqEIjIKSIyS0TeEZFlIvIz3zH5JCI1ROQtEZnkOxbfRKSRiDwvIitSr48OvmPyQUTuEpHlIrJURJ4VkZhs6ZIZERkpIttFZGmp7x0nItNFZJWITBORRunOk5fknslCqAJyALjbOXcBcDkwrIB/FwB3AO/6DiIk/gy85Jw7D7gIWOE5nrwTkWbAT4H2zrk2aOn4Jr9R5d0oNFeW9ktgpnPuHGAW8P/SnSRfI/dMFkIVBOfcNufc26nP96Bv4IJcEyAipwC9gX/4jsU3ETkGuNI5NwrAOXfAOfep57B8qQk0EJFaQH1gi+d48so5NxfYVebb/YGSnYefBq5Nd558JfdMFkIVHBE5A2gLLPAbiTd/Av4XsAc/cCbwkYiMSpWpHheRo3wHlW/OuS3AH4AN6GLI3c65mX6jCoWmJTMQnXPbgKbp/oF1hfRERBoC44A7UiP4giIifYDtqbsYSX0UslpAe+AR51x74HP0VrygiMix6Cj1dKAZ0FBEBvmNKpTSDojyldw3A6eV+vqU1PcKUup2cxzwT+fcRN/xeNIRuEZE1gLPAZ1F5BnPMfm0CdjonHsz9fU4NNkXmm7AWufcx865g8AE4ArPMYXB9pJ+XSJyErAj3T/IV3L/eiFU6sn3TejCp0L1JPCuc+7PvgPxxTn3K+fcac65s9DXwyzn3Pd9x+VL6pZ7o4i0Sn2rK4X5oHkDcJmI1BMRQX8PBfdgmSPvZicBt6Q+/wGQdlCYl94yFS2Eyse1w0ZEOgI3A8tEZDF6e/Ur59zLfiMzIfAz4FkRqQ2spQAXAzrnForIOGAx8FXqfx/3G1V+ichoIAE0EZENwL3Ag8DzInIrsB64Me15bBGTMcbEjz1QNcaYGLLkbowxMWTJ3RhjYsiSuzHGxJAld2OMiSFL7sYYE0OW3I0xJoYsuRtjTAz9f7DjhTOJsEyJAAAAAElFTkSuQmCC" }, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "This is potentially most useful with images. For instance, we can mask our brain images from earlier by constructing the mask ourselves:" ], "metadata": {} }, { "cell_type": "code", "execution_count": 52, "source": [ "# the mask should be logical and of the same size as arr\n", "# here, we set all entries to True, which masks all data by default\n", "mask = np.ones(arr.shape, dtype='bool')" ], "outputs": [], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 53, "source": [ "# the mask should be true for the data we *don't* want to use\n", "# unmask the window: x in [60, 75), y in [50, 90), z in [20, 60)\n", "mask[60:75, 50:90, 20:60] = False" ], "outputs": [], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 54, "source": [ "masked_arr = np.ma.masked_array(arr, mask=mask)" ], "outputs": [], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 55, "source": [ "cc = (65, 85, 25)\n", "\n", "plt.figure(figsize=(15, 15))\n", "plt.subplot(1, 3, 1)\n", "plt.imshow(masked_arr[cc[0], :, :], cmap='gray')\n", "plt.subplot(1, 3, 2)\n", "plt.imshow(masked_arr[:, cc[1], :], cmap='gray')\n", "plt.subplot(1, 3, 3)\n", "plt.imshow(masked_arr[:, :, cc[2]], cmap='gray')" ], "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 55 }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "image/png": 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" }, "metadata": {} } ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "In this way, we can restrict our analysis to a particular region of interest inside the image; all other data will be ignored. In real MRI analysis, the mask is often based on anatomy, so that we restrict our data to a particular brain structure or structures. " ], "metadata": {} }, { "cell_type": "markdown", "source": [ "# Additional Reading:" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "For more on this, there are lots of great resources:\n", "- Again, the [Tentative NumPy tutorial](http://wiki.scipy.org/Tentative_NumPy_Tutorial) is focused on the mechanics of NumPy arrays\n", "- [Python for Data Analysis](http://shop.oreilly.com/product/0636920023784.do) is now *slightly* out of date, but is the best introduction to Pandas (and covers some NumPy along the way).\n", "- Kevin Sheppard has a briskly-paced (but quite nice) [Introduction to Python for Econometrics](https://www.kevinsheppard.com/images/0/09/Python_introduction.pdf) that covers material in the order it tends to be useful to scientists (i.e., data up front, object oriented programming in back). For more, including videos, see [his website](https://www.kevinsheppard.com/Python_Course)" ], "metadata": {} }, { "cell_type": "code", "execution_count": null, "source": [], "outputs": [], "metadata": { "collapsed": false } } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [Root]", "language": "python", "name": "Python [Root]" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 2 }