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Reconstruction of low-rank aggregation kernels in univariate population balance equations
The dynamics of particle processes can be described by population balance equations which are governed by phenomena including growth, nucleation,...
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Simpler is better: a comparative study of randomized pivoting algorithms for CUR and interpolative decompositions
Matrix skeletonizations like the interpolative and CUR decompositions provide a framework for low-rank approximation in which subsets of a given...
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Approximation in the extended functional tensor train format
This work proposes the extended functional tensor train (EFTT) format for compressing and working with multivariate functions on tensor product...
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Matrix compression along isogenic blocks
A matrix-compression algorithm is derived from a novel isogenic block decomposition for square matrices. The resulting compression and inflation...
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Efficient randomized tensor-based algorithms for function approximation and low-rank kernel interactions
In this paper, we introduce a method for multivariate function approximation using function evaluations, Chebyshev polynomials, and tensor-based...