Ultralow-Dimensionality Reduction for Identifying Critical Transitions by Spatial-Temporal PCA. [PDF]
Adv Sci (Weinh)Chen P +6 more
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Vector AutoRegressive Moving Average Models: A Review. [PDF]
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Sci RepLiu Y, Wang G, Ji Y, Jin S, Wan T.
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The dominance of large-scale phase dynamics in human cortex, from delta to gamma. [PDF]
ElifeAlexander DM, Dugué L.
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Sensors (Basel)Sun B, Yang S, Cheng X.
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Self-supervised reservoir computing with spatial-temporal encoding for identifying critical transitions. [PDF]
Nat CommunYang N, Kurths J, Liu R, Chen P.
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The Smallest Eigenvalue of Hankel Matrices [PDF]
Constructive Approximation, 2010 Let H_N=(s_{n+m}),n,m\le N denote the Hankel matrix of moments of a positive measure with moments of any order. We study the large N behaviour of the smallest eigenvalue lambda_N of H_N. It is proved that lambda_N has exponential decay to zero for any measure with compact support.
Christian Berg, Ryszard Szwarc
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Commutation Relations for Toeplitz and Hankel Matrices
SIAM Journal on Matrix Analysis and Applications, 2003Given Toeplitz matrices \(A\), \(B\), \(C\), and \(D\), among other results, the authors give a theorem that determines if \(AB - CD\) is Toeplitz. They use this theorem to prove a variety of new and previously known algebraic results about Hankel and Toeplitz matrices.
Caixing Gu
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