Dynamic tensor product regression

A Reddy, Z Song, L Zhang - Advances in Neural …, 2022 - proceedings.neurips.cc
In this work, we initiate the study of\emph {Dynamic Tensor Product Regression}. One has
matrices $ A_1\in\mathbb {R}^{n_1\times d_1},\ldots, A_q\in\mathbb {R}^{n_q\times d_q} …

Optimal sketching for kronecker product regression and low rank approximation

H Diao, R Jayaram, Z Song, W Sun… - Advances in neural …, 2019 - proceedings.neurips.cc
We study the Kronecker product regression problem, in which the design matrix is a
Kronecker product of two or more matrices. Formally, given $ A_i\in\R^{n_i\times d_i} $ for …

Oblivious sketching-based central path method for linear programming

Z Song, Z Yu - International Conference on Machine …, 2021 - proceedings.mlr.press
In this work, we propose a sketching-based central path method for solving linear
programmings, whose running time matches the state of the art results [Cohen, Lee, Song …

Generalization bounds for data-driven numerical linear algebra

P Bartlett, P Indyk, T Wagner - Conference on Learning …, 2022 - proceedings.mlr.press
Data-driven algorithms can adapt their internal structure or parameters to inputs from
unknown application-specific distributions, by learning from a training sample of inputs …

Oblivious sketching-based central path method for solving linear programming problems

Z Song, Z Yu - 2021 - openreview.net
In this work, we propose a sketching-based central path method for solving linear
programmings, whose running time matches the state of art results [Cohen, Lee, Song STOC …

Low-rank approximation with 1/𝜖1/3 matrix-vector products

A Bakshi, KL Clarkson, DP Woodruff - … of the 54th Annual ACM SIGACT …, 2022 - dl.acm.org
We study iterative methods based on Krylov subspaces for low-rank approximation under
any Schatten-p norm. Here, given access to a matrix A through matrix-vector products, an …

Quantum-inspired algorithms from randomized numerical linear algebra

N Chepurko, K Clarkson, L Horesh… - International …, 2022 - proceedings.mlr.press
We create classical (non-quantum) dynamic data structures supporting queries for
recommender systems and least-squares regression that are comparable to their quantum …

Krylov methods are (nearly) optimal for low-rank approximation

A Bakshi, S Narayanan - 2023 IEEE 64th Annual Symposium …, 2023 - ieeexplore.ieee.org
We consider the problem of rank-1 low-rank approximation (LRA) in the matrix-vector
product model under various Schatten norms: _ ‖ u ‖ _ 2= 1\left ‖ A\left (Iu u …

Faster linear algebra for distance matrices

P Indyk, S Silwal - Advances in Neural Information …, 2022 - proceedings.neurips.cc
The distance matrix of a dataset $ X $ of $ n $ points with respect to a distance function $ f $
represents all pairwise distances between points in $ X $ induced by $ f $. Due to their wide …

Laplacian welsch regularization for robust semisupervised learning

J Ke, C Gong, T Liu, L Zhao, J Yang… - IEEE transactions on …, 2020 - ieeexplore.ieee.org
Semisupervised learning (SSL) has been widely used in numerous practical applications
where the labeled training examples are inadequate while the unlabeled examples are …