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The MIT License (MIT) | ||
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Copyright (c) [year] [fullname] | ||
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Permission is hereby granted, free of charge, to any person obtaining a copy | ||
of this software and associated documentation files (the "Software"), to deal | ||
in the Software without restriction, including without limitation the rights | ||
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
copies of the Software, and to permit persons to whom the Software is | ||
furnished to do so, subject to the following conditions: | ||
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The above copyright notice and this permission notice shall be included in all | ||
copies or substantial portions of the Software. | ||
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | ||
SOFTWARE. |
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# Analyses of MNIST database of handwritten digits | ||
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see **MNIST.pdf** in the repo for the documentation. As of June 2015 the project is just getting underway. | ||
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The US Post Office’s desire to automate the routing of mail by handwritten zipcode motivated the | ||
creation of the MNIST database of handwritten digits. The database contains 60,000 training images and 10,000 testing images, each 28 × 28 grayscale images of a single digit, and is widely used for benchmarking machine learning algorithms, the best of which is reported to have achieved a 0.23% misclassification error rate using convolutional neural networks. Kaggle has a training contest using a variation of the MNIST database. | ||
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This project is my attempt to beat the benchmarks set for the various algorithms described in the 1998 paper by LeCun et al plus a few others of interest to me and my results on Kaggle. |
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set.seed(1009) | ||
# read MNIST training and test data | ||
library(data.table) | ||
library(caret) | ||
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# read the data from the csv files | ||
# ################################ | ||
if (deskewed) { | ||
trainX = fread(input='../data/train-images_deskewed.csv', sep=",", header=FALSE,verbose=FALSE) | ||
testX = fread(input='../data/t10k-images_deskewed.csv', sep=",", header=FALSE,verbose=FALSE) | ||
print("deskewed data loaded") | ||
} else { | ||
trainX = fread(input='../data/train-images.csv', sep=",", header=FALSE,verbose=FALSE) | ||
testX = fread(input='../data/t10k-images.csv', sep=",", header=FALSE,verbose=FALSE) | ||
print("original data loaded") | ||
} | ||
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trainY = read.table(file='../data/train-labels.csv', sep="", header=FALSE) | ||
testY = read.table(file='../data/t10k-labels.csv', sep="", header=FALSE) | ||
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trainY = as.vector(trainY$V1) | ||
testY = as.vector(testY$V1) | ||
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# shuffle the data to help any CV process | ||
# ####################################### | ||
train.shuffle = sample(nrow(trainX)) | ||
trainX = trainX[train.shuffle,] | ||
trainY = trainY[train.shuffle] | ||
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test.shuffle = sample(nrow(testX)) | ||
testX = testX[test.shuffle,] | ||
testY = testY[test.shuffle] | ||
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rm(train.shuffle, test.shuffle) |
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# see https://gist.github.com/brendano/39760 | ||
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# Load the MNIST digit recognition dataset into R | ||
# http://yann.lecun.com/exdb/mnist/ | ||
# assume you have all 4 files and gunzip'd them | ||
# creates train$n, train$x, train$y and test$n, test$x, test$y | ||
# e.g. train$x is a 60000 x 784 matrix, each row is one digit (28x28) | ||
# call: show_digit(train$x[5,]) to see a digit. | ||
# brendan o'connor - gist.github.com/39760 - anyall.org | ||
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load_mnist <- function() { | ||
load_image_file <- function(filename) { | ||
ret = list() | ||
f = file(filename,'rb') | ||
readBin(f,'integer',n=1,size=4,endian='big') | ||
ret$n = readBin(f,'integer',n=1,size=4,endian='big') | ||
nrow = readBin(f,'integer',n=1,size=4,endian='big') | ||
ncol = readBin(f,'integer',n=1,size=4,endian='big') | ||
x = readBin(f,'integer',n=ret$n*nrow*ncol,size=1,signed=F) | ||
ret$x = matrix(x, ncol=nrow*ncol, byrow=T) | ||
close(f) | ||
ret | ||
} | ||
load_label_file <- function(filename) { | ||
f = file(filename,'rb') | ||
readBin(f,'integer',n=1,size=4,endian='big') | ||
n = readBin(f,'integer',n=1,size=4,endian='big') | ||
y = readBin(f,'integer',n=n,size=1,signed=F) | ||
close(f) | ||
y | ||
} | ||
train <<- load_image_file('data/train-images.idx3-ubyte') | ||
test <<- load_image_file('data/t10k-images.idx3-ubyte') | ||
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train$y <<- load_label_file('data/train-labels.idx1-ubyte') | ||
test$y <<- load_label_file('data/t10k-labels.idx1-ubyte') | ||
} | ||
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show_digit <- function(arr784, col=gray(12:1/12), ...) { | ||
image(matrix(arr784, nrow=28)[,28:1], col=col, ...) | ||
} | ||
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print_16 = function(starting_at=1, X=trainX, Y=trainY) { | ||
# print a 4x4 of images in the training set | ||
# starting at index=starting_at | ||
opar = par(no.readonly=TRUE) | ||
par(mfrow=c(4,4)) | ||
for (i in seq(from=starting_at, length.out=16)){ | ||
show_digit(matrix(as.numeric(X[i,]),28,28), | ||
main=Y[i], | ||
xlab=paste("index",i)) | ||
} | ||
par(opar) | ||
} |