A PTAS for p-Low Rank Approximation

F Ban, V Bhattiprolu, K Bringmann, P Kolev, E Lee… - Proceedings of the …, 2019 - SIAM
A number of recent works have studied algorithms for entrywise ℓp-low rank approximation,
namely algorithms which given an n× d matrix A (with n≥ d), output a rank-k matrix B …

Faster algorithms for binary matrix factorization

R Kumar, R Panigrahy, A Rahimi… - … on Machine Learning, 2019 - proceedings.mlr.press
We give faster approximation algorithms for well-studied variants of Binary Matrix
Factorization (BMF), where we are given a binary $ m\times n $ matrix $ A $ and would like …

Approximation schemes for low-rank binary matrix approximation problems

FV Fomin, PA Golovach, D Lokshtanov… - ACM Transactions on …, 2019 - dl.acm.org
We provide a randomized linear time approximation scheme for a generic problem about
clustering of binary vectors subject to additional constraints. The new constrained clustering …

Blind source separation and blind mixture identification methods

Y Deville - Wiley Encyclopedia of Electrical and Electronics …, 1999 - Wiley Online Library
Blind source separation (BSS) is a generic signal processing problem. BSS methods aim to
estimate a set of unknown source signals, by using a set of available signals that are …

Parameterized low-rank binary matrix approximation

FV Fomin, PA Golovach, F Panolan - Data Mining and Knowledge …, 2020 - Springer
Low-rank binary matrix approximation is a generic problem where one seeks a good
approximation of a binary matrix by another binary matrix with some specific properties. A …

Generalized independent component analysis over finite alphabets

A Painsky, S Rosset, M Feder - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Independent component analysis (ICA) is a statistical method for transforming an observable
multi-dimensional random vector into components that are as statistically independent as …

Low rank approximation of binary matrices: Column subset selection and generalizations

C Dan, KA Hansen, H Jiang, L Wang… - arXiv preprint arXiv …, 2015 - arxiv.org
Low rank matrix approximation is an important tool in machine learning. Given a data matrix,
low rank approximation helps to find factors, patterns and provides concise representations …

Linear independent component analysis over finite fields: Algorithms and bounds

A Painsky, S Rosset, M Feder - IEEE Transactions on Signal …, 2018 - ieeexplore.ieee.org
Independent component analysis (ICA) is a statistical tool that decomposes an observed
random vector into components that are as statistically independent as possible. ICA over …

Approximation Algorithms for -Low Rank Approximation

K Bringmann, P Kolev… - Advances in neural …, 2017 - proceedings.neurips.cc
Abstract We study the $\ell_0 $-Low Rank Approximation Problem, where the goal is, given
an $ m\times n $ matrix $ A $, to output a rank-$ k $ matrix $ A'$ for which $\| A'-A\| _0 $ is …

Factorization of binary matrices: Rank relations, uniqueness and model selection of boolean decomposition

D DeSantis, E Skau, DP Truong… - ACM Transactions on …, 2022 - dl.acm.org
The application of binary matrices are numerous. Representing a matrix as a mixture of a
small collection of latent vectors via low-rank decomposition is often seen as an …