A study on the empirical distribution of the scaled Hankel matrix eigenvalues [PDF]
The empirical distribution of the eigenvalues of the matrix XXT divided by its trace is evaluated, where X is a random Hankel matrix. The distribution of eigenvalues for symmetric and nonsymmetric distributions is assessed with various criteria.
Hossein Hassani +2 more
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A Hankel Matrix Acting on Spaces of Analytic Functions [PDF]
If $ $ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_ $ be the Hankel matrix $\mathcal H_ =( _{n, k})_{n,k\ge 0}$ with entries $ _{n, k}= _{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $ _n$ denotes the moment of order $n$ of $ $. This matrix induces formally the operator $$\mathcal{H}_ (f)(z)= \sum_{n=0}^{\infty}\left(\
Daniel Girela, Noel Merchán
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Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols [PDF]
We will present sufficient conditions for the Fredholm property of Wiener-Hopf plus and minus Hankel operators with different Fourier matrix symbols in the C*-algebra of semialmost periodic elements.
L. P Castro, A. S. Silva
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Analysis of Cardiosignals Cohesion based on Hankel Matrix [PDF]
A big part of heart disease diagnostics criteria is collected by registration and analysis of cardio signals that show electric heart activity disturbance (ECG) and hemodynamic and mechanic activity changes as impedance cardiograms (ICG) and seismocardiograms (SCG).
Gintare Kersulyte +4 more
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On Hankel transforms of generalized Bessel matrix polynomials
The present article deals with the evaluation of the Hankel transforms involving Bessel matrix functions in the kernel. Moreover, these transforms are associated with products of certain elementary functions and generalized Bessel matrix polynomials.
Mohamed Abdalla
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Delayformer: Spatiotemporal Transformation for Predicting High-Dimensional Dynamics. [PDF]
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 ...
Wang Z, Tao P, Chen L.
europepmc +2 more sources
Robust estimation of synchronized spontaneous otoacoustic emission via singular value decomposition and optimal shrinkage [PDF]
We investigate matrix signal processing techniques for estimating synchronized spontaneous otoacoustic emission (OAE) in noise. Responses to repeated clicks are first stored in a matrix, and singular value decomposition is either applied in the time ...
Hao-Ping Lin, Yi-Wen Liu
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Generalized Data–Driven Predictive Control: Merging Subspace and Hankel Predictors
Data–driven predictive control (DPC) is becoming an attractive alternative to model predictive control as it requires less system knowledge for implementation and reliable data is increasingly available in smart engineering systems.
M. Lazar, P. C. N. Verheijen
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H-representation method for solving reduced biquaternion matrix equation
In this paper, we study the Hankel and Toeplitz solutions of reduced biquaternion matrix equation (1.1). Using semi-tensor product of matrices, the reduced biquaternion matrix equation (1.1) can be transformed into a general matrix equation of the form ...
Xueling Fan +3 more
doaj +1 more source
Hankel matrix normalization for robust damage detection
In the context of detecting changes in structural systems, multiple vibration-based damage detection methods have been proposed and successfully applied to both mechanical and civil structures over the past years. One of the popular schemes is based on a robust subspace-based residual and enjoys favorable statistical and computational properties, like ...
Szymon Greś +4 more
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