An AO-ADMM Approach to Constraining PARAFAC2 on All Modes

Marie Roald, Jeremy Cohen, Vince D. Calhoun, Carla Schenker, Evrim Acar, Rasmus Bro, Tülay Adali

Publication date: 21 September 2022

Published in: SIAM Journal on Mathematics of Data Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.01278

zbMATH Keywords

ADMM regularization unimodality tensor decomposition nonnegativity PARAFAC2

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Numerical analysis (65-XX) Computer science (68-XX)

Cites Work

Unnamed Item
Unnamed Item
Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
Tensor Decompositions and Applications
Unimodal regression via prefix isotonic regression
The number of singular vector tuples and uniqueness of best rank-one approximation of tensors
Some uniqueness results for PARAFAC2
Uniqueness proof for a family of models sharing features of Tucker's three-mode factor analysis and PARAFAC/CANDECOMP
CANDELINC: A general approach to multidimensional analysis of many-way arrays with linear constraints on parameters
The special sign indeterminacy of the direct-fitting Parafac2 model: some implications, cautions, and recommendations for simultaneous component analysis
Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
Fast Nonnegative Matrix Factorization: An Active-Set-Like Method and Comparisons
Adaptive Algorithms to Track the PARAFAC Decomposition of a Third-Order Tensor
Subspace Learning and Imputation for Streaming Big Data Matrices and Tensors
First-Order Methods in Optimization
A Flexible and Efficient Algorithmic Framework for Constrained Matrix and Tensor Factorization
Stochastic Gradients for Large-Scale Tensor Decomposition
Nesterov acceleration of alternating least squares for canonical tensor decomposition: Momentum step size selection and restart mechanisms
Estimating latent trends in multivariate longitudinal data via Parafac2 with functional and structural constraints
Decompositions of a Higher-Order Tensor in Block Terms—Part II: Definitions and Uniqueness
Computing non-negative tensor factorizations

This page was built for publication: An AO-ADMM Approach to Constraining PARAFAC2 on All Modes