Matrix factorization techniques in machine learning, signal processing, and statistics

KL Du, MNS Swamy, ZQ Wang, WH Mow - Mathematics, 2023 - mdpi.com
Compressed sensing is an alternative to Shannon/Nyquist sampling for acquiring sparse or
compressible signals. Sparse coding represents a signal as a sparse linear combination of …

Identification and semiparametric efficiency theory of nonignorable missing data with a shadow variable

W Miao, L Liu, Y Li, EJ Tchetgen Tchetgen… - ACM/JMS Journal of …, 2024 - dl.acm.org
We consider identification and estimation with an outcome missing not at random (MNAR).
We study an identification strategy based on a so-called shadow variable. A shadow …

Statistical Inference For Noisy Matrix Completion Incorporating Auxiliary Information

S Ma, PY Niu, Y Zhang, Y Zhu - Journal of the American Statistical …, 2024 - Taylor & Francis
This article investigates statistical inference for noisy matrix completion in a semi-supervised
model when auxiliary covariates are available. The model consists of two parts. One part is a …

Symmetric Matrix Completion with ReLU Sampling

H Liu, P Wang, L Huang, Q Qu, L Balzano - arxiv preprint arxiv …, 2024 - arxiv.org
We study the problem of symmetric positive semi-definite low-rank matrix completion (MC)
with deterministic entry-dependent sampling. In particular, we consider rectified linear unit …

Matrix Completion via Residual Spectral Matching

Z Chen, F Yao - arxiv preprint arxiv:2412.10005, 2024 - arxiv.org
Noisy matrix completion has attracted significant attention due to its applications in
recommendation systems, signal processing and image restoration. Most existing works rely …

Estimation with missing not at random binary outcomes via exponential tilts

S Maity - arxiv preprint arxiv:2502.06046, 2025 - arxiv.org
We study the problem of missing not at random (MNAR) datasets with binary outcomes. We
propose an exponential tilt based approach that bypasses any knowledge on'nonresponse …

Learning Under Implicit Bias and Data Bias

J Li - 2023 - search.proquest.com
Modern machine learning tasks often involve the training of over-parameterized models and
the challenge of addressing data bias. However, despite recent advances, there remains a …

A Pairwise Pseudo-likelihood Approach for Matrix Completion with Informative Missingness

J Li, J Wang, RKW Wong, KCG Chan - The Thirty-eighth Annual … - openreview.net
While several recent matrix completion methods are developed to deal with non-uniform
observation probabilities across matrix entries, very few allow the missingness to depend on …