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06/04/2023
Complexity of Block Coordinate Descent with Proximal Regularization and Applications to Wasserstein CP-dictionary Learning
We consider the block coordinate descent methods of Gauss-Seidel type wi...
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06/14/2022
Supervised Dictionary Learning with Auxiliary Covariates
Supervised dictionary learning (SDL) is a classical machine learning met...
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03/29/2022
Convergence and Complexity of Stochastic Subgradient Methods with Dependent Data for Nonconvex Optimization
We show that under a general dependent data sampling scheme, the classic...
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01/05/2022
Convergence and Complexity of Stochastic Block Majorization-Minimization
Stochastic majorization-minimization (SMM) is an online extension of the...
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02/13/2021
Learning low-rank latent mesoscale structures in networks
It is common to use networks to encode the architecture of interactions ...
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12/28/2020
Learning to predict synchronization of coupled oscillators on heterogeneous graphs
Suppose we are given a system of coupled oscillators on an arbitrary gra...
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12/07/2020
Convergence of block coordinate descent with diminishing radius for nonconvex optimization
Block coordinate descent (BCD), also known as nonlinear Gauss-Seidel, is...
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11/10/2020
Applications of Online Nonnegative Matrix Factorization to Image and Time-Series Data
Online nonnegative matrix factorization (ONMF) is a matrix factorization...
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10/04/2020
On Nonnegative Matrix and Tensor Decompositions for COVID-19 Twitter Dynamics
We analyze Twitter data relating to the COVID-19 pandemic using dynamic ...
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09/22/2020
On the number of contingency tables and the independence heuristic
We obtain sharp asymptotic estimates on the number of n × n contingency ...
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09/16/2020
Online nonnegative tensor factorization and CP-dictionary learning for Markovian data
Nonnegative Matrix Factorization (NMF) algorithms are fundamental tools ...
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04/20/2020
COVID-19 Time-series Prediction by Joint Dictionary Learning and Online NMF
Predicting the spread and containment of COVID-19 is a challenge of utmo...
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12/01/2019
Topic-aware chatbot using Recurrent Neural Networks and Nonnegative Matrix Factorization
We propose a novel model for a topic-aware chatbot by combining the trad...
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11/05/2019
Online matrix factorization for Markovian data and applications to Network Dictionary Learning
Online Matrix Factorization (OMF) is a fundamental tool for dictionary l...
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10/21/2019
Sampling random graph homomorphisms and applications to network data analysis
A graph homomorphism is a map between two graphs that preserves adjacenc...
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03/20/2019