An Online Manifold Learning Approach for Model Reduction of Dynamical Systems

Liqian Peng; Kamran Mohseni

doi:10.1137/130927723

An Online Manifold Learning Approach for Model Reduction of Dynamical Systems

SIAM Journal on Numerical Analysis ◽

10.1137/130927723 ◽

2014 ◽

Vol 52 (4) ◽

pp. 1928-1952 ◽

Cited By ~ 9

Author(s):

Liqian Peng ◽

Kamran Mohseni

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Manifold Learning ◽

Learning Approach

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Statistics manifold learning approach and its application to non-Gaussian process monitoring

2020 39th Chinese Control Conference (CCC) ◽

10.23919/ccc50068.2020.9189523 ◽

2020 ◽

Author(s):

Ping Cui ◽

Xuhong Wang ◽

Yupu Yang

Keyword(s):

Gaussian Process ◽

Process Monitoring ◽

Manifold Learning ◽

Learning Approach ◽

Non Gaussian

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GEVI cell‐type specific labelling and a manifold learning approach provide evidence for lateral inhibition at the population level in the mouse hippocampal CA1 area

European Journal of Neuroscience ◽

10.1111/ejn.15177 ◽

2021 ◽

Author(s):

Ryuichi Nakajima ◽

Nikolaos Laskaris ◽

Jun Kyu Rhee ◽

Bradley J. Baker ◽

Efstratios K. Kosmidis

Keyword(s):

Manifold Learning ◽

Lateral Inhibition ◽

Population Level ◽

Learning Approach ◽

Cell Type ◽

Hippocampal Ca1 ◽

Hippocampal Ca1 Area ◽

Cell Type Specific ◽

Ca1 Area ◽

Specific Labelling

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A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01521-0 ◽

2021 ◽

Author(s):

M. A. Hamadi ◽

K. Jbilou ◽

A. Ratnani

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Large Scale ◽

Reduction Method ◽

Arnoldi Method ◽

Block Arnoldi

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Preserving general physical properties in model reduction of dynamical systems via constrained‐optimization projection

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6667 ◽

2021 ◽

Author(s):

Alexander Schein ◽

Kevin T. Carlberg ◽

Matthew J. Zahr

Keyword(s):

Dynamical Systems ◽

Physical Properties ◽

Constrained Optimization ◽

Model Reduction ◽

General Physical

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Nonparametric manifold learning approach for improved process monitoring

The Canadian Journal of Chemical Engineering ◽

10.1002/cjce.24066 ◽

2021 ◽

Author(s):

Ping Cui ◽

Xuhong Wang ◽

Yupu Yang

Keyword(s):

Process Monitoring ◽

Manifold Learning ◽

Learning Approach

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Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

Journal of Computational Physics ◽

10.1016/j.jcp.2019.108973 ◽

2020 ◽

Vol 404 ◽

pp. 108973 ◽

Cited By ~ 27

Author(s):

Kookjin Lee ◽

Kevin T. Carlberg

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Nonlinear Manifolds

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Parsimonious representation of nonlinear dynamical systems through manifold learning: A chemotaxis case study

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2015.06.008 ◽

2018 ◽

Vol 44 (3) ◽

pp. 759-773 ◽

Cited By ~ 15

Author(s):

Carmeline J. Dsilva ◽

Ronen Talmon ◽

Ronald R. Coifman ◽

Ioannis G. Kevrekidis

Keyword(s):

Dynamical Systems ◽

Manifold Learning ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical

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From understanding of color perception to dynamical systems by manifold learning

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.1713161114 ◽

2017 ◽

Vol 114 (38) ◽

pp. 9998-9999

Author(s):

Ron Kimmel

Keyword(s):

Dynamical Systems ◽

Manifold Learning ◽

Color Perception

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Model Reduction with Memory and the Machine Learning of Dynamical Systems

Communications in Computational Physics ◽

10.4208/cicp.oa-2018-0269 ◽

2019 ◽

Vol 25 (4) ◽

Cited By ~ 13

Author(s):

Chao Ma ◽

Jianchun Wang ◽

Weinan E

Keyword(s):

Machine Learning ◽

Dynamical Systems ◽

Model Reduction ◽

With Memory

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Benchmark Examples for Model Reduction of Linear Time-Invariant Dynamical Systems

Lecture Notes in Computational Science and Engineering - Dimension Reduction of Large-Scale Systems ◽

10.1007/3-540-27909-1_24 ◽

2005 ◽

pp. 379-392 ◽

Cited By ~ 22

Author(s):

Younes Chahlaoui ◽

Paul Van Dooren

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Linear Time ◽

Linear Time Invariant ◽

Time Invariant

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