Results 61 to 70 of about 16,578 (196)
Certain isometries related to the bilateral laplace transform
Mathematical Modelling and Analysis, 2006 We study certain isometries between Hilbert spaces, which are generated by the bilateral Laplace transform In particular, we construct an analog of the Bargmann‐Fock type reproducing kernel Hilbert space related to this transformation. It is shown
S. B. Yakubovich
doaj +1 more source
Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator
Entropy, 2020 Many dimensionality and model reduction techniques rely on estimating dominant eigenfunctions of associated dynamical operators from data. Important examples include the Koopman operator and its generator, but also the Schrödinger operator.
Stefan Klus +2 more
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Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces [PDF]
, 2013 A Schur-class function in $d$ variables is defined to be an analytic contractive-operator valued function on the unit polydisk. Such a function is said to be in the Schur--Agler class if it is contractive when evaluated on any commutative $d$-tuple of ...
Ball, Joseph A. +3 more
core
Spatial depth for data in metric spaces
Scandinavian Journal of Statistics, EarlyView.Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley +1 more source
Nonlinear Dimensionality Reduction Based on HSIC Maximization
IEEE Access, 2018 Hilbert-Schmidt independence criterion (HSIC) is typically used to measure the statistical dependence between two sets of data. HSIC first transforms these two sets of data into two reproducing Kernel Hilbert spaces (RKHS), respectively, and then ...
Zhengming Ma +3 more
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Operator Reproducing Kernel Hilbert Spaces
, 2015 54 ...
Wang, Rui, Xu, Yuesheng
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How to Match Cognitive Model Predictions With EEG Data
Topics in Cognitive Science, EarlyView.Abstract Reliably identifying relevant brain areas implicated by the simulated activity from cognitive models is still an unsolved problem for cognitive modeling, particularly when matching model output with human electroencephalography (EEG) data. We propose a new method involving postprocessing of ACT‐R module activity and clustered EEG component ...
Kai Preuss +3 more
wiley +1 more source
The Journal of Physiology, EarlyView.Abstract figure legend We present a shape modelling‐based morphological analysis of sex differences in cardiac anatomy. We conduct our analysis on 456 healthy subjects from the UK Biobank (227M/229F) to uncover sex‐based differences in healthy cardiac morphology.
Beatrice Moscoloni +4 more
wiley +1 more source
Jan Stochel, a stellar mathematician [PDF]
Opuscula MathematicaThe occasion for this survey article was the 70th birthday of Jan Stochel, professor at Jagiellonian University, former head of the Chair of Functional Analysis and a prominent member of the Kraków school of operator theory.
Sameer Chavan +4 more
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The Journal of Physiology, EarlyView.Abstact figure legend A panoramic 3D optical mapping system was developed, enabling imaging of action potential waves across the entire strongly deforming ventricular surface of beating isolated hearts. The system comprises 12 high‐speed cameras and a soccerball‐shaped imaging chamber with 48 light‐emitting diodes (LEDs).
Shrey Chowdhary +5 more
wiley +1 more source