Search Results for author: Praneeth Kacham

Found 1 papers, 0 papers with code

Near-Optimal Algorithms for Linear Algebra in the Current Matrix Multiplication Time

no code implementations16 Jul 2021 Nadiia Chepurko, Kenneth L. Clarkson, Praneeth Kacham, David P. Woodruff

Currently, in the numerical linear algebra community, it is thought that to obtain nearly-optimal bounds for various problems such as rank computation, finding a maximal linearly independent subset of columns, regression, low rank approximation, maximum matching on general graphs and linear matroid union, one would need to resolve the main open question of Nelson and Nguyen (FOCS, 2013) regarding the logarithmic factors in the sketching dimension for existing constant factor approximation oblivious subspace embeddings.

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