paper-with-me

홈 › Papers

Deeply Learned Robust Matrix Completion for Large-scale Low-rank Data Recovery

2024-12-31 · HanQin Cai, Chandra Kundu, Jialin Liu, Wotao Yin

Robust matrix completion (RMC) is a widely used machine learning tool that simultaneously tackles two critical issues in low-rank data analysis: missing data entries and extreme outliers. This paper proposes a novel scalable and learnable non-convex approach, coined Learned Robust Matrix Completion (LRMC), for large-scale RMC problems. LRMC enjoys low computational complexity with linear convergence. Motivated by the proposed theorem, the free parameters of LRMC can be effectively learned via deep unfolding to achieve optimum performance. Furthermore, this paper proposes a flexible feedforward-recurrent-mixed neural network framework that extends deep unfolding from fix-number iterations to infinite iterations. The superior empirical performance of LRMC is verified with extensive experiments against state-of-the-art on synthetic datasets and real applications, including video background subtraction, ultrasound imaging, face modeling, and cloud removal from satellite imagery.

📄 PDF Abstract BibTeX arXiv:2501.00677

Code (0)

등록된 구현이 없습니다.

Tasks

Cloud RemovalMatrix CompletionVideo Background Subtraction

Similar Papers 제목 키워드 기반

Independent Deeply Learned Matrix Analysis for Multichannel Audio Source Separation

2018-06-27

In this paper, we address a multichannel audio source separation task and propose a new efficient method called independent deeply learned matrix analysis (IDLMA). IDLMA estimates the demixing matrix in a blind manner an…

Audio Source Separation

Median Matrix Completion: from Embarrassment to Optimality

2020-06-18 · ICML 2020 1 · Weidong Liu, Xiaojun Mao, Raymond K. W. Wong

In this paper, we consider matrix completion with absolute deviation loss and obtain an estimator of the median matrix. Despite several appealing properties of median, the non-smooth absolute deviation loss leads to comp…

Matrix Completion

Scaled Gradients on Grassmann Manifolds for Matrix Completion

2012-12-01 · NeurIPS 2012 12 · Thanh Ngo, Yousef Saad

This paper describes gradient methods based on a scaled metric on the Grassmann manifold for low-rank matrix completion. The proposed methods significantly improve canonical gradient methods especially on ill-conditioned…

Low-Rank Matrix CompletionMatrix Completion

Scaled stochastic gradient descent for low-rank matrix completion

2016-03-16 · Bamdev Mishra, Rodolphe Sepulchre

The paper looks at a scaled variant of the stochastic gradient descent algorithm for the matrix completion problem. Specifically, we propose a novel matrix-scaling of the partial derivatives that acts as an efficient pre…

Low-Rank Matrix CompletionMatrix Completion

Robust Matrix Completion for Discrete Rating-Scale Data

2024-12-30 · Aurore Archimbaud, Andreas Alfons, Ines Wilms

Matrix completion has gained considerable interest in recent years. The goal of matrix completion is to predict the unknown entries of a partially observed matrix using its known entries. Although common applications fea…

Matrix CompletionRecommendation Systems