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math.NA2026
Error Analysis and Precision Selection for Mixed-Precision DEIM-CUR Decompositions
Ioannis Thanasis, Erin Carson
CUR approximation is a popular approach for constructing an interpretable low-rank approximation of a matrix. There are many approaches for constructing the CUR approximation, many…
math.NA2024
Mixed precision HODLR matrices
Erin Carson, Xinye Chen, Xiaobo Liu
Hierarchical matrix computations have attracted significant attention in the science and engineering community as exploiting data-sparse structures can significantly reduce the com…
math.NA2024
Computing k-means in mixed precision
Erin Carson, Xinye Chen, Xiaobo Liu
Motivated by the increasing availability of low- and mixed-precision arithmetic on modern hardware, we develop mixed-precision variants of Lloyd's algorithm for k-means clustering.…