Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance

Nonlinear Component Analysis as a Kernel Eigenvalue Problem

Bernhard Schölkopf, Alexander J. Smola, Klaus‐Robert Müller · Neural Computation · 1998 · 8.1K citations

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Turbulence and the dynamics of coherent structures. I. Coherent structures

Lawrence Sirovich · Quarterly of Applied Mathematics · 1987 · 6.1K citations · Full text

Natural Sciences, Mathematics, Physics +13

Principal component analysis in linear systems: Controllability, observability, and model reduction

B. Moore · IEEE Transactions on Automatic Control · 1981 · 5.3K citations

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Nathan Halko, Per‐Gunnar Martinsson, Joel A. Tropp · SIAM Review · 2011 · 4.1K citations

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The Approximation of One Matrix by Another of Lower Rank

Carl Eckart, Gale Young · Psychometrika · 1936 · 3.8K citations

Computing, Data Science, Markov Decision Processes +9