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Simple coarse graining and sampling strategies for image recognition
A conceptually simple way to classify images is to directly compare test-set
data and training-set data. The accuracy of this approach is limited by the
method of comparison used, and by the extent to which the training-set data
cover configuration space. Here we show that this coverage can be substantially
increased using simple strategies of coarse graining (replacing groups of
images by their centroids) and stochastic sampling (using distinct sets of
centroids in combination). We use the MNIST and Fashion-MNIST data sets to show
that coarse graining can be used to convert a subset of training images into
many fewer image centroids, with no loss of accuracy of classification of
test-set images by direct (nearest-neighbor) classification. Distinct batches
of centroids can be used in combination as a means of stochastically sampling
configuration space, and can classify test-set data more accurately than can
the unaltered training set. The approach works most naturally with multiple
processors in parallel
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