Results 101 to 110 of about 1,777,436 (249)

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, Feliks Nüske, Boumediene Hamzi   +2 more
doaj   +1 more source

Cyclicity in Reproducing Kernel Hilbert Spaces of Analytic Functions [PDF]

Computational Methods and Function Theory, 2014
We introduce a large family of reproducing kernel Hilbert spaces $\mathcal{H} \subset \mbox{Hol}(\mathbb{D})$, which include the classical Dirichlet-type spaces $\mathcal{D}_α$, by requiring normalized monomials to form a Riesz basis for $\mathcal{H}$. Then, after precisely evaluating the $n$-th optimal norm and the $n$-th approximant of $f(z)=1-z$, we
Fricain, Emmanuel, Mashreghi, Javad, Seco, Daniel   +2 more
openaire   +4 more sources

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, Christopher Hilton, Klaus Gramann, Nele Russwinkel   +3 more
wiley   +1 more source

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

Panoramic voltage‐sensitive optical mapping of contracting hearts using cooperative multiview motion tracking with 12 cameras

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, Jan Lebert, Shai Dickman, Mason Manetta, Charles Gordon, Jan Christoph   +5 more
wiley   +1 more source

Comparative multimodal calibration of patient‐specific atrial fibrillation models: Impact of imaging and electrophysiology data on arrhythmogenic substrate identification

The Journal of Physiology, EarlyView.
Abstract figure legend Comparative multimodal calibration of patient‐specific left atrial (LA) models to identify arrhythmogenic substrates in atrial fibrillation (AF). A, LA models shown in posterior and anterior views, calibrated separately using: late gadolinium enhancement magnetic resonance imaging (LGE‐MRI) image intensity ratio (IIR; blue–red ...
Mahmoud Ehnesh, Haseeb Valli, Ovais A. Jaffery, Sam Coveney, Alexander Zolotarev, Zhong Chen, Wajid Hussain, David G. Jones, Raad Mohiaddin, Tom Wong, Gregory Slabaugh, Steven A. Niederer, Edward Vigmond, Shouvik Haldar, Caroline Roney   +14 more
wiley   +1 more source

Shot‐Based Quantum Encoding: A Data‐Loading Paradigm for Quantum Neural Networks

Advanced Computing, Volume 1, Issue 1, December 2026.
Shot‐based quantum encoding loads classical data without any encoding gates: a learned map turns each datum into a probability vector that dictates how many measurement shots start in each basis state, preparing a mixed state that a shallow variational circuit processes as a quantum perceptron layer.
Basil Kyriacou, Viktoria Patapovich, Maniraman Periyasamy, Alexey Melnikov   +3 more
wiley   +1 more source

Representing functional data in reproducing Kernel Hilbert Spaces with applications to clustering and classification [PDF]

Functional data are difficult to manage for many traditional statistical techniques given their very high (or intrinsically infinite) dimensionality. The reason is that functional data are essentially functions and most algorithms are designed to work ...
Alberto Muñoz, Javier González
core  

Some Results About Reproducing Kernel Hilbert Spaces of Certain Structure [PDF]

, 2022
The theory of reproducing kernel Hilbert spaces has been crucial to the development of many of the most significant modern ideas behind functional analysis.
Sautel, Jesse Gabriel
core  

Jan Stochel, a stellar mathematician [PDF]

Opuscula Mathematica
The 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, Raúl Curto, Zenon Jan Jabłoński, Il Bong Jung, Mihai Putinar   +4 more
doaj   +1 more source