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Michael Mahoney

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Why Deep Learning Works: Implicit Self-Regularization in Deep Neural NetworksRandomized Numerical Linear Algebra and Applications 20182018-09-24
Claim: deep nets develop implicit self-regularization visible in the singular-value spectra of layer weight matrices. Empirical toolset uses heavy-tailed…
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Sampling for Linear Algebra, Statistics, and Optimization IFoundations of Data Science Boot Camp 20182018-08-27
Randomized linear‑algebra sketches replace large matrices by sampled rows/columns or random projections (Hadamard, Gaussian, CountSketch) so downstream…
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Sampling for Linear Algebra, Statistics, and Optimization IIFoundations of Data Science Boot Camp 20182018-08-27
Mixing importance sampling with a small uniform fraction reduces estimator variance, with an empirical sweet spot near half leverage plus half uniform (roughly…
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Implementing Randomized Matrix Algorithms in Parallel and Distributed EnvironmentsParallel and Distributed Algorithms for Inference and Optimization (Simons Institute, Oct. 21–24, 2013)2013-10-21
Randomized matrix methods run in parallel and distributed settings by random-projection preconditioning and importance sampling, producing practical solvers. A…
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Input-sparsity Time Algorithms for Embeddings and Regression ProblemsWorkshop on Succinct Data Representations and Applications (Simons Institute Big Data 2013)2013-09-16
Claims that L2 and L1 subspace embeddings can be built in near input-sparsity time by using a projection Pi = S D where D is a random diagonal (±1 for L2…
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Past, Present and Future of Randomized Numerical Linear Algebra IBig Data Boot Camp 20132013-09-03
Randomized sketches replace heavy SVDs by sampling columns/rows or by applying subsampled Hadamard or sign matrices, then uniform sampling; matrix…
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Past, Present and Future of Randomized Numerical Linear Algebra IIBig Data Boot Camp 20132013-09-03
Claims concrete speed and accuracy tradeoffs for randomized matrix methods and shows what actually gets built and tested: use statistical leverage scores to…
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