Linkai Ma

Linkai Ma

4th year Purdue CS Ph.D. student

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publications

Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices

Published in SIAM Journal on Matrix Analysis and Applications (SIMAX), 2025

Regularization effect of SR on smallest singular values of tall and thin matrices.

Recommended citation: Gregory Dexter, Christos Boutsikas, Linkai Ma, Ilse C. F. Ipsen, and Petros Drineas. (2025). "Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices." SIAM Journal on Matrix Analysis and Applications, 46(1), 341-369.
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Stochastic Rounding Increases Small Singular Values

Published in arXiv, 2026

SR regularizes beyond extreme aspect ratios, lifting entire clusters at the tail of the singular value spectrum.

Recommended citation: Linkai Ma, Tingzhou Yu, and Petros Drineas. (2026). "Stochastic Rounding Increases Small Singular Values." arXiv preprint arXiv:2606.00312.
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A Note on the Stability of the Sherman–Morrison–Woodbury Formula

Published in SIAM Journal on Matrix Analysis and Applications (SIMAX), 2026

Forward/backward error stability analysis for SMW.

Recommended citation: Linkai Ma, Christos Boutsikas, Mehrdad Ghadiri, and Petros Drineas. (2026). "A Note on the Stability of the Sherman–Morrison–Woodbury Formula." SIAM Journal on Matrix Analysis and Applications, 47(2), 702-723.
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