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09/15/2023
Deep Nonnegative Matrix Factorization with Beta Divergences
Deep Nonnegative Matrix Factorization (deep NMF) has recently emerged as...
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05/17/2023
Algorithms for Boolean Matrix Factorization using Integer Programming
Boolean matrix factorization (BMF) approximates a given binary input mat...
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05/15/2023
Accelerated Algorithms for Nonlinear Matrix Decomposition with the ReLU function
In this paper, we study the following nonlinear matrix decomposition (NM...
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10/13/2022
Characterizing matrices with eigenvalues in an LMI region: A dissipative-Hamiltonian approach
In this paper, we provide a dissipative Hamiltonian (DH) characterizatio...
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09/26/2022
Bounded Simplex-Structured Matrix Factorization
In this paper, we propose a new low-rank matrix factorization model dubb...
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09/26/2022
Least-squares methods for nonnegative matrix factorization over rational functions
Nonnegative Matrix Factorization (NMF) models are widely used to recover...
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07/20/2022
Revisiting data augmentation for subspace clustering
Subspace clustering is the classical problem of clustering a collection ...
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06/21/2022
A consistent and flexible framework for deep matrix factorizations
Deep matrix factorizations (deep MFs) are recent unsupervised data minin...
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06/16/2022
Partial Identifiability for Nonnegative Matrix Factorization
Given a nonnegative matrix factorization, R, and a factorization rank, r...
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02/05/2022
Solving matrix nearness problems via Hamiltonian systems, matrix factorization, and optimization
In these lectures notes, we review our recent works addressing various p...
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10/15/2021
Structured Nonnegative Matrix Factorization for Traffic Flow Estimation of Large Cloud Networks
Network traffic matrix estimation is an ill-posed linear inverse problem...
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10/11/2021
Smoothed Separable Nonnegative Matrix Factorization
Given a set of data points belonging to the convex hull of a set of vert...
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07/09/2021
Block Alternating Bregman Majorization Minimization with Extrapolation
In this paper, we consider a class of nonsmooth nonconvex optimization p...
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03/19/2021
Beyond Linear Subspace Clustering: A Comparative Study of Nonlinear Manifold Clustering Algorithms
Subspace clustering is an important unsupervised clustering approach. It...
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02/10/2021
A Framework of Inertial Alternating Direction Method of Multipliers for Non-Convex Non-Smooth Optimization
In this paper, we propose an algorithmic framework dubbed inertial alter...
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11/24/2020
Provably robust blind source separation of linear-quadratic near-separable mixtures
In this work, we consider the problem of blind source separation (BSS) b...
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11/22/2020
A Homotopy-based Algorithm for Sparse Multiple Right-hand Sides Nonnegative Least Squares
Nonnegative least squares (NNLS) problems arise in models that rely on a...
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10/30/2020
Multiplicative Updates for NMF with β-Divergences under Disjoint Equality Constraints
Nonnegative matrix factorization (NMF) is the problem of approximating a...
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10/23/2020
An Inertial Block Majorization Minimization Framework for Nonsmooth Nonconvex Optimization
In this paper, we introduce TITAN, a novel inerTial block majorIzation m...
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10/05/2020
Algorithms for Nonnegative Matrix Factorization with the Kullback-Leibler Divergence
Nonnegative matrix factorization (NMF) is a standard linear dimensionali...
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10/01/2020
Deep matrix factorizations
Constrained low-rank matrix approximations have been known for decades a...
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07/22/2020
Simplex-Structured Matrix Factorization: Sparsity-based Identifiability and Provably Correct Algorithms
In this paper, we provide novel algorithms with identifiability guarante...
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07/08/2020
Multi-Resolution Beta-Divergence NMF for Blind Spectral Unmixing
Blind spectral unmixing is the problem of decomposing the spectrum of a ...
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06/15/2020
Nonconvex Optimization Tools for Large-Scale Matrix and Tensor Decomposition with Structured Factors
The proposed article aims at offering a comprehensive tutorial for the c...
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06/13/2020
Sparse Separable Nonnegative Matrix Factorization
We propose a new variant of nonnegative matrix factorization (NMF), comb...
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03/27/2020
On a minimum enclosing ball of a collection of linear subspaces
This paper concerns the minimax center of a collection of linear subspac...
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03/10/2020
Off-diagonal Symmetric Nonnegative Matrix Factorization
Symmetric nonnegative matrix factorization (symNMF) is a variant of nonn...
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03/09/2020
A block inertial Bregman proximal algorithm for nonsmooth nonconvex problems
In this paper, a block inertial Bregman proximal algorithm, namely [], f...
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01/13/2020
Accelerating Block Coordinate Descent for Nonnegative Tensor Factorization
This paper is concerned with improving the empirical convergence speed o...
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12/09/2019
Grouped sparse projection
As evident from deep learning, very large models bring improvements in t...
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10/02/2019
Near-Convex Archetypal Analysis
Nonnegative matrix factorization (NMF) is a widely used linear dimension...
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08/12/2019
Successive Projection Algorithm Robust to Outliers
The successive projection algorithm (SPA) is a fast algorithm to tackle ...
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08/04/2019
Multi-block Bregman proximal alternating linearized minimization and its application to sparse orthogonal nonnegative matrix factorization
We introduce and analyze BPALM and A-BPALM, two multi-block proximal alt...
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07/16/2019
Minimal-norm static feedbacks using dissipative Hamiltonian matrices
In this paper, we characterize the set of static-state feedbacks that st...
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07/04/2019
Blind Audio Source Separation with Minimum-Volume Beta-Divergence NMF
Considering a mixed signal composed of various audio sources and recorde...
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06/17/2019
A Provably Correct and Robust Algorithm for Convolutive Nonnegative Matrix Factorization
In this paper, we propose a provably correct algorithm for convolutive n...
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05/30/2019
Generalized Separable Nonnegative Matrix Factorization
Nonnegative matrix factorization (NMF) is a linear dimensionality techni...
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03/11/2019
Algorithms and Comparisons of Non-negative Matrix Factorization with Volume Regularization for Hyperspectral Unmixing
In this work, we consider nonnegative matrix factorization (NMF) with a ...
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03/05/2019
Inertial Block Mirror Descent Method for Non-Convex Non-Smooth Optimization
In this paper, we propose inertial versions of block coordinate descent ...
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01/30/2019
Distributionally Robust and Multi-Objective Nonnegative Matrix Factorization
Nonnegative matrix factorization (NMF) is a linear dimensionality reduct...
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08/27/2018
Identifiability of Low-Rank Sparse Component Analysis
Sparse component analysis (SCA) is the following problem: Given an input...
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07/11/2018
Improved SVD-based Initialization for Nonnegative Matrix Factorization using Low-Rank Correction
Due to the iterative nature of most nonnegative matrix factorization (NM...
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05/17/2018
Accelerating Nonnegative Matrix Factorization Algorithms using Extrapolation
In this paper, we propose a general framework to accelerate significantl...
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02/21/2018
Scalable and Robust Sparse Subspace Clustering Using Randomized Clustering and Multilayer Graphs
Sparse subspace clustering (SSC) is one of the current state-of-the-art ...
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04/03/2017
Dictionary-based Tensor Canonical Polyadic Decomposition
To ensure interpretability of extracted sources in tensor decomposition,...
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03/02/2017
Introduction to Nonnegative Matrix Factorization
In this paper, we introduce and provide a short overview of nonnegative ...
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03/05/2016
UTA-poly and UTA-splines: additive value functions with polynomial marginals
Additive utility function models are widely used in multiple criteria de...
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09/04/2015
Coordinate Descent Methods for Symmetric Nonnegative Matrix Factorization
Given a symmetric nonnegative matrix A, symmetric nonnegative matrix fac...
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05/26/2015
Sequential Dimensionality Reduction for Extracting Localized Features
Linear dimensionality reduction techniques are powerful tools for image ...
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11/26/2014