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Randomized numerical linear algebra: A perspective on the field with an eye to software
Randomized numerical linear algebra-RandNLA, for short-concerns the use of
randomization as a resource to develop improved algorithms for large-scale linear algebra …
randomization as a resource to develop improved algorithms for large-scale linear algebra …
Robust, randomized preconditioning for kernel ridge regression
This paper investigates two randomized preconditioning techniques for solving kernel ridge
regression (KRR) problems with a medium to large number of data points ($10^ 4\leq N\leq …
regression (KRR) problems with a medium to large number of data points ($10^ 4\leq N\leq …
Effective dimension adaptive sketching methods for faster regularized least-squares optimization
We propose a new randomized algorithm for solving L2-regularized least-squares problems
based on sketching. We consider two of the most popular random embeddings, namely …
based on sketching. We consider two of the most popular random embeddings, namely …
Optimal randomized first-order methods for least-squares problems
We provide an exact analysis of a class of randomized algorithms for solving
overdetermined least-squares problems. We consider first-order methods, where the …
overdetermined least-squares problems. We consider first-order methods, where the …
Training quantized neural networks to global optimality via semidefinite programming
Neural networks (NNs) have been extremely successful across many tasks in machine
learning. Quantization of NN weights has become an important topic due to its impact on …
learning. Quantization of NN weights has become an important topic due to its impact on …
Fast and forward stable randomized algorithms for linear least-squares problems
EN Epperly - SIAM Journal on Matrix Analysis and Applications, 2024 - SIAM
Iterative sketching and sketch-and-precondition are randomized algorithms used for solving
overdetermined linear least-squares problems. When implemented in exact arithmetic, these …
overdetermined linear least-squares problems. When implemented in exact arithmetic, these …
Faster least squares optimization
We investigate iterative methods with randomized preconditioners for solving
overdetermined least-squares problems, where the preconditioners are based on a random …
overdetermined least-squares problems, where the preconditioners are based on a random …
Optimal shrinkage for distributed second-order optimization
In this work, we address the problem of Hessian inversion bias in distributed second-order
optimization algorithms. We introduce a novel shrinkage-based estimator for the resolvent of …
optimization algorithms. We introduce a novel shrinkage-based estimator for the resolvent of …
Fast randomized least-squares solvers can be just as accurate and stable as classical direct solvers
One of the greatest success stories of randomized algorithms for linear algebra has been the
development of fast, randomized algorithms for highly overdetermined linear least-squares …
development of fast, randomized algorithms for highly overdetermined linear least-squares …
Surrogate-based autotuning for randomized sketching algorithms in regression problems
Algorithms from Randomized Numerical Linear Algebra (RandNLA) are known to be
effective in handling high-dimensional computational problems, providing high-quality …
effective in handling high-dimensional computational problems, providing high-quality …