Alexander Golovnev

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20242026

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cs.DS2026

Online Orthogonal Vectors Revisited

Karthik Gajulapalli, Alexander Golovnev, Samuel King +1

We prove new upper and lower bounds for the Online Orthogonal Vectors Problem ( $OnlineOV_{n, d}$ ). In this problem, a preprocessing algorithm receives $n$ vectors $x_1,\ldo…

cs.DS2025

Output-Sparse Matrix Multiplication Using Compressed Sensing

Huck Bennett, Karthik Gajulapalli, Alexander Golovnev +1

We give two algorithms for output-sparse matrix multiplication (OSMM), the problem of multiplying two $n \times n$ matrices $A, B$ when their product $A B$ is promised to have at mo…