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Established in 2020, POSTECH Mathematical Institute for Data Science (MINDS) is the community of researchers in the areas of fundamental data science, machine learning, artificial intelligence, scientific computing, and humanitarian data science. MINDS mission is to provide a platform for collaboration among researchers and to provide various opportunities for students in data science. MINDS also aims to use our data science research to serve our local and global communities pursuing humanitarian data science.

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MINDS SEMINAR

MINDS Seminar Series | Hanbaek Lyu (University of Wisconsin) - Introduction to matrix and tensor factorization models and related stochastic nonconvex and constrained optimization algorithms

MINDS SEMINAR
period : 2022-05-31 ~ 2022-05-31
time : 16:00:00 ~ 16:40:00
개최 장소 : Math Bldg 100 & Online streaming (Zoom)
Topic : Introduction to matrix and tensor factorization models and related stochastic nonconvex and constrained optimization algorithms
개요
Date 2022-05-31 ~ 2022-05-31 Time 16:00:00 ~ 16:40:00
Speaker Hanbaek Lyu Affiliation University of Wisconsin
Place Math Bldg 100 & Online streaming (Zoom) Streaming link ID : 688 896 1076 / PW : 54321
Topic Introduction to matrix and tensor factorization models and related stochastic nonconvex and constrained optimization algorithms
Contents Matrix/tensor factorization models such as principal component analysis , nonnegative matrix factorization, and CANDECOM/PARAFAC tensor decomposition provide powerful framework for dimension reduction and interpretable feature extraction, which are important in analyzing high-dimensional data that comes in large volume. Their diverse applications include image denoising and reconstruction, dictionary learning, topic modeling, and network data analysis. Fitting such factorization models to training data gives rise to various nonconvex and constrained optimization algorithms. Moreover, such models can be trained efficiently for streaming data using stochastic/online versions of such algorithms. After introducing matrix/tensor factorization models and their applications in various contexts, we survey some well-known nonconvex constrained optimization algorithms such as block coordinate descent and projected gradient descent. We also discuss some recent developments in general stochastic optimization algorithms such as stochastic proximal gradient descent and stochastic regularized majorization-minimization and their convergence and complexity guarantees under general Markovian streaming data.
MinDS MinDS · 2022-05-06 09:14 · Views 656

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