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Non-Negative Matrix Factorization Revisited: Uniqueness and Algorithm for Symmetric Decomposition

https://doi.org/10.1109/tsp.2013.2285514

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation

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Positive matrix factorization: A non‐negative factor model with optimal utilization of error estimates of data values

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Compact Lie Groups

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Geometrical Method Using Simplicial Cones for Overdetermined Nonnegative Blind Source Separation: Application to Real PET Images

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Initialization of Nonnegative Matrix Factorization with Vertices of Convex Polytope

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On the computational complexity of membership problems for the completely positive cone and its dual

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Computing nonnegative rank factorizations

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The nonnegative rank factorizations of nonnegative matrices

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NONNEGATIVE MATRICES

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Towards unique solutions of non-negative matrix factorization problems by a determinant criterion

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On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices

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Non-negative matrix factorization: Ill-posedness and a geometric algorithm

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Nonnegative matrix factorization with constrained second-order optimization

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On the convergence of the block nonlinear Gauss–Seidel method under convex constraints

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Convex Optimization

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Learning the parts of objects by non-negative matrix factorization

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Nonlinear Programming

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Non-negative Source Separation: Range of Admissible Solutions and Conditions for the Uniqueness of the Solution

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NMF revisited: New uniqueness results and algorithms

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Minimum Volume Simplex Analysis: A Fast Algorithm to Unmix Hyperspectral Data

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Symmetric Nonnegative Matrix Factorization: Algorithms and Applications to Probabilistic Clustering

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Fast Nonnegative Matrix/Tensor Factorization Based on Low-Rank Approximation

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Low-Dimensional Polytope Approximation and Its Applications to Nonnegative Matrix Factorization

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On the Complexity of Nonnegative Matrix Factorization

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On the Equivalence of Nonnegative Matrix Factorization and Spectral Clustering

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Rank Factorization of Nonnegative Matrices (A. Berman)

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Fast Nonnegative Matrix Factorization: An Active-Set-Like Method and Comparisons

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Maximum Block Improvement and Polynomial Optimization

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Completely Positive Matrices

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Document clustering based on non-negative matrix factorization

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Theorems on Positive Data: On the Uniqueness of NMF

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Projected Gradient Methods for Nonnegative Matrix Factorization

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Nonlinear Programming

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Fast Local Algorithms for Large Scale Nonnegative Matrix and Tensor Factorizations

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Clustering of scientific citations in Wikipedia

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Sparse and Unique Nonnegative Matrix Factorization Through Data Preprocessing

inferredcites →https://doi.org/10.5281/zenodo.39217openalex-snapshot

First Results On Uniqueness Of Sparse Non-Negative Matrix Factorization

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When Does Non-Negative Matrix Factorization Give a Correct Decomposition into Parts?

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Static and Dynamic Source Separation Using Nonnegative Factorizations: A unified view

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Nonnegative Matrix and Tensor Factorizations : An algorithmic perspective

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Nonnegative Matrix Factorization for Signal and Data Analytics: Identifiability, Algorithms, and Applications

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Improved Identifiability and Sample Complexity Analysis of Complete Dictionary Learning

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Sample Complexity Analysis for Identifying the Minimum Volume Enclosing Simplex

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Minimum-Volume Multichannel Nonnegative Matrix Factorization for Blind Audio Source Separation

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Momentum-Incorporated Symmetric Non-Negative Latent Factor Models

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Recovering Hidden Diagonal Structures via Non-Negative Matrix Factorization with Multiple Constraints

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Symmetric and Nonnegative Latent Factor Models for Undirected, High-Dimensional, and Sparse Networks in Industrial Applications

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An Inherently Nonnegative Latent Factor Model for High-Dimensional and Sparse Matrices from Industrial Applications

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Improved Symmetric and Nonnegative Matrix Factorization Models for Undirected, Sparse and Large-Scaled Networks: A Triple Factorization-Based Approach

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Nonlocal Patch Tensor Sparse Representation for Hyperspectral Image Super-Resolution

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Variational Bayesian Orthogonal Nonnegative Matrix Factorization Over the Stiefel Manifold

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Nonnegative Matrix Factorization with Side Information for Time Series Recovery and Prediction

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Relative Pairwise Relationship Constrained Non-Negative Matrix Factorisation

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Adaptive Method for Nonsmooth Nonnegative Matrix Factorization

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An Improved Non-Negative Latent Factor Model for Missing Data Estimation via Extragradient-Based Alternating Direction Method

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Anchor-Free Correlated Topic Modeling

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A Progressive Hierarchical Alternating Least Squares Method for Symmetric Nonnegative Matrix Factorization

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Latent Factor-Based Recommenders Relying on Extended Stochastic Gradient Descent Algorithms

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Triple Factorization-Like Symmetric NLF Models With Latent Item–Item Relationship

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Blind Separation of Quasi-Stationary Sources: Exploiting Convex Geometry in Covariance Domain

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A Factor Analysis Framework for Power Spectra Separation and Multiple Emitter Localization

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Power Spectra Separation via Structured Matrix Factorization

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Efficient and Non-Convex Coordinate Descent for Symmetric Nonnegative Matrix Factorization

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Robust Volume Minimization-Based Matrix Factorization for Remote Sensing and Document Clustering

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A Nonconvex Splitting Method for Symmetric Nonnegative Matrix Factorization: Convergence Analysis and Optimality

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Tensor Decomposition for Signal Processing and Machine Learning

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Inexact Block Coordinate Descent Methods for Symmetric Nonnegative Matrix Factorization

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A Unified Convergence Analysis of the Multiplicative Update Algorithm for Regularized Nonnegative Matrix Factorization

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MISO Channel Estimation and Tracking from Received Signal Strength Feedback

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Hyperspectral Super-Resolution: A Coupled Tensor Factorization Approach

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Quaternion Non-Negative Matrix Factorization: Definition, Uniqueness, and Algorithm

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A Provably Correct and Robust Algorithm for Convolutive Nonnegative Matrix Factorization

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Blind Audio Source Separation With Minimum-Volume Beta-Divergence NMF

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Recovering Joint Probability of Discrete Random Variables From Pairwise Marginals

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Mixed Membership Graph Clustering via Systematic Edge Query

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Polytopic Matrix Factorization: Determinant Maximization Based Criterion and Identifiability

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Detecting Central Nodes From Low-Rank Excited Graph Signals via Structured Factor Analysis

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Overlapping Community Detection via Semi-Binary Matrix Factorization: Identifiability and Algorithms

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The Discriminative Discrete Basis Problem: Definitions, Algorithms, Benchmarking, and Application to Brain's Functional Dynamics

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Grid-Based Bayesian Filters With Functional Decomposition of Transient Density

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Bounded Simplex-Structured Matrix Factorization: Algorithms, Identifiability and Applications

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Identifiable Solutions to Foreground Signature Extraction From Hyperspectral Images in an Intimate Mixing Scenario

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Nonnegative decomposition of functional count data

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Finite mixture models with one exclusion restriction

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Principled Neuro-Functional Connectivity Discovery

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Simplex-Structured Matrix Factorization: Sparsity-Based Identifiability and Provably Correct Algorithms

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A Sampling Algorithm to Compute the Set of Feasible Solutions for NonNegative Matrix Factorization with an Arbitrary Rank

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Hyperspectral Super-resolution Accounting for Spectral Variability: Coupled Tensor LL1-Based Recovery and Blind Unmixing of the Unknown Super-resolution Image

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Partial Identifiability for Nonnegative Matrix Factorization

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Dual Simplex Volume Maximization for Simplex-Structured Matrix Factorization

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Temporal community detection based on symmetric nonnegative matrix factorization

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