![\"Open](\"https://colab.research.google.com/assets/colab-badge.svg\"){kind=icon}
","metadata":{"id":"view-in-github"}},{"cell_type":"markdown","source":"\nThe data files train.csv and test.csv contain gray-scale images of hand-drawn digits, from zero through nine.\n\nEach image is 28 pixels in height and 28 pixels in width, for a total of 784 pixels in total. Each pixel has a single pixel-value associated with it, indicating the lightness or darkness of that pixel, with higher numbers meaning darker. This pixel-value is an integer between 0 and 255, inclusive.\n\nThe training data set, (train.csv), has 785 columns. The first column, called \"label\", is the digit that was drawn by the user. The rest of the columns contain the pixel-values of the associated image.\n\nEach pixel column in the training set has a name like pixelx, where x is an integer between 0 and 783, inclusive. To locate this pixel on the image, suppose that we have decomposed x as x = i * 28 + j, where i and j are integers between 0 and 27, inclusive. Then pixelx is located on row i and column j of a 28 x 28 matrix, (indexing by zero).\n\nFor example, pixel31 indicates the pixel that is in the fourth column from the left, and the second row from the top, as in the ascii-diagram below.\n\nVisually, if we omit the \"pixel\" prefix, the pixels make up the image like this:\n
\n000 001 002 003 ... 026 027\n028 029 030 031 ... 054 055\n056 057 058 059 ... 082 083\n| | | | ... | |\n728 729 730 731 ... 754 755\n756 757 758 759 ... 782 783\n\n","metadata":{"id":"qC0c6ztfh5WN"}},{"cell_type":"markdown","source":"