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Semiring identities of the Brandt monoid
We show that this addition is a term operation of $B_2^1$ as an inverse semigroup.
Group Theory 16Y60 20M18
Dimensionality Reduction of Massive Sparse Datasets Using Coresets
An open practical problem has been to compute a non-trivial approximation to the PCA of very large but sparse databases such as the Wikipedia document-term matrix in a reasonable time.
Coresets for k-Segmentation of Streaming Data
We consider the problem of computing optimal segmentation of such signals by k-piecewise linear function, using only one pass over the data by maintaining a coreset for the signal.
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