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cs.LG2021
Implicit Regularization of Bregman Proximal Point Algorithm and Mirror Descent on Separable Data
Yan Li, Caleb Ju, Ethan X. Fang +1
Bregman proximal point algorithm (BPPA) has witnessed emerging machine learning applications, yet its theoretical understanding has been largely unexplored. We study the computatio…
cs.DC2021
Communication lower bounds for nested bilinear algorithms via rank expansion of Kronecker products
Caleb Ju, Yifan Zhang, Edgar Solomonik
We develop lower bounds on communication in the memory hierarchy or between processors for nested bilinear algorithms, such as Strassen's algorithm for matrix multiplication. We bu…