Results 11 to 20 of about 615 (135)
Delayformer: Spatiotemporal Transformation for Predicting High‐Dimensional Dynamics [PDF]
Advanced Science, Volume 13, Issue 3, 14 January 2026.Delayformer introduces a multivariate spatiotemporal transformation (mvSTI) that converts observed variables into delay‐embedded states and cross‐learns their dynamics using a shared Vision Transformer encoder. This approach, grounded in dynamical systems theory, simultaneously predicts all variables in high‐dimensional systems, outperforming state‐of ...
Zijian Wang, Peng Tao, Luonan Chen
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Identifying Out‐of‐Voxel Echoes in Edited MRS With Phase Cycle Inversion [PDF]
Magnetic Resonance in Medicine, Volume 95, Issue 4, Page 1921-1933, April 2026.ABSTRACT Purpose To identify the origin of out‐of‐voxel (OOV) signals based on the coherence transfer pathway (CTP) formalism using signal phase conferred by the acquisition phase cycling scheme. Knowing the CTP driving OOV artifacts enables optimization of crusher gradients to improve their suppression.
Zahra Shams +14 more
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Stable factorization for Hankel and Hankel‐like matrices [PDF]
Numerical Linear Algebra with Applications, 2001 AbstractThis paper gives fast O(n2) algorithms for the factorization of positive‐definite and indefinite Hankel matrices. The algorithms are based on the concept of displacement structure and are valid for the more general class of Hankel‐like matrices. The positive‐definite algorithm is proven to be backward stable.
Olshevsky, Vadim, Stewart, Michael
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Determinants of Hankel Matrices
Journal of Functional Analysis, 2001 18 pages, LaTeX ...
Basor, Estelle L. +2 more
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Hankel tensors: Associated Hankel matrices and Vandermonde decomposition [PDF]
Communications in Mathematical Sciences, 2015 Hankel tensors arise from applications such as signal processing. In this paper, we make an initial study on Hankel tensors. For each Hankel tensor, we associate it with a Hankel matrix and a higher order two-dimensional symmetric tensor, which we call the associated plane tensor.
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On Determinantal Varieties of Hankel Matrices [PDF]
Algebra, 2014 Let ℌ be a class of n×n Hankel matrices HA whose entries, depending on a given matrix A, are linear forms in n variables with coefficients in a finite field 𝔽q. For every matrix in ℌ, it is shown that the varieties specified by the leading minors of orders from 1 to n-1 have the same number qn-1 of points in 𝔽qn.
Edoardo Ballico, Michele Elia
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On Completely Continuous Hankel Matrices [PDF]
Proceedings of the American Mathematical Society, 1958 1. Main theorem. Let x = (xo, xi, • • • ) be a sequence of complex numbers and let | x \ he the norm | x | = (^Z | x„ |2)1/2 2:0. Let an asterisk denote complex conjugation. If \x\ <
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Small eigenvalues of large Hankel matrices [PDF]
Journal of Physics A: Mathematical and General, 1999 15 pages,1 ...
Chen, Yang, Lawrence, Nigel
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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.
Berg, Christian, Szwarc, Ryszard
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Characteristics of Hankel matrices [PDF]
Czechoslovak Mathematical Journal, 1995 It is known that given a singular Hankel matrix \(H\), the kernel of \(H\) consists of all polynomials of the form \(m(x) p(x)\), where \(m\) is an arbitrary polynomial whose degree does not exceed a certain bound. The polynomial \(p\), which is the greatest common divisor of all polynomials in the kernel of \(H\), and the bound \(b\) for the degree of
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