[PDF][PDF] Exploring and learning in sparse linear mdps without computationally intractable oracles

N Golowich, A Moitra, D Rohatgi - Proceedings of the 56th Annual ACM …, 2024 - dl.acm.org
The key assumption underlying linear Markov Decision Processes (MDPs) is that the learner
has access to a known feature map φ (x, a) that maps state-action pairs to d-dimensional …

Performance of Regularization for Sparse Convex Optimization

K Axiotis, T Yasuda - arXiv preprint arXiv:2307.07405, 2023 - arxiv.org
Despite widespread adoption in practice, guarantees for the LASSO and Group LASSO are
strikingly lacking in settings beyond statistical problems, and these algorithms are usually …

Sparse Linear Regression and Lattice Problems

A Gupte, N Vafa, V Vaikuntanathan - arXiv preprint arXiv:2402.14645, 2024 - arxiv.org
Sparse linear regression (SLR) is a well-studied problem in statistics where one is given a
design matrix $ X\in\mathbb {R}^{m\times n} $ and a response vector $ y= X\theta^*+ w $ for …

[PDF][PDF] Algorithms for Matrix Approximation: Sketching, Sampling, and Sparse Optimization

T Yasuda - 2024 - reports-archive.adm.cs.cmu.edu
The approximation of matrices by smaller, simpler, or structured matrices is a fundamental
problem in various fields of mathematics and computer science including numerical linear …