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Generalized Low Rank Models (Paperback)
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Generalized Low Rank Models (Paperback)
Series: Foundations and Trends (R) in Machine Learning
Expected to ship within 10 - 15 working days
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Principal components analysis (PCA) is a well-known technique for
approximating a tabular data set by a low rank matrix. Here, the
authors extend the idea of PCA to handle arbitrary data sets
consisting of numerical, Boolean, categorical, ordinal, and other
data types. This framework encompasses many well-known techniques
in data analysis, such as non-negative matrix factorization, matrix
completion, sparse and robust PCA, k-means, k-SVD, and maximum
margin matrix factorization. The method handles heterogeneous data
sets, and leads to coherent schemes for compressing, denoising, and
imputing missing entries across all data types simultaneously. It
also admits a number of interesting interpretations of the low rank
factors, which allow clustering of examples or of features. The
authors propose several parallel algorithms for fitting generalized
low rank models, and describe implementations and numerical
results.
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