Results 61 to 70 of about 4,460,603 (181)

Symmetric Operators and Reproducing Kernel Hilbert Spaces [PDF]

Complex Analysis and Operator Theory, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Static and Dynamic Resting‐State fMRI Connectivity Show Frequency‐Resolved Associations With Intracranial EEG Connectivity

Human Brain Mapping, Volume 47, Issue 14, October 1, 2026.
Resting‐state functional MRI (fMRI) connectivity reflects both stable electrophysiological coupling and frequency‐specific neural dynamics. Using simultaneous intracranial EEG–fMRI in 48 epilepsy patients, we show that static connectivity aligns with beta/low‐gamma coupling, whereas dynamic connectivity tracks alpha and beta fluctuations.
Tahereh Rashnavadi, Kristina Sabaroedin, William Wilson, Daniel J. Pittman, Paolo Federico, Pierre Levan   +5 more
wiley   +1 more source

Solutions of fractional differential equations with reproducing kernel hilbert space method

, 2022
Bu tez yedi bölümden oluşmaktadır. Birinci bölümde, kesir mertebeli türev ve doğuran çekirdekli Hilbert uzayı metodu hakkında tarihsel gelişim ve literatür taraması verilmiştir. İkinci bölümde, tez çalışmasında kullanılacak olan temel tanım, teorem ve ön
Şenol, Mehmet, Ata, Ayşe
core  

Deep Learning Predicts Hematopoietic Stem Cell Aging From 3D Chromatin Images

Aging Cell, Volume 25, Issue 10, October 2026.
Deep learning identifies age‐associated chromatin architecture signatures in 3D images of hematopoietic stem cell nuclei, providing an interpretable imaging biomarker that distinguishes young from aged cells and detects chromatin rejuvenation after treatment.
Pablo Iáñez Picazo, Eva Mejía‐Ramírez, Dario Di Bari, Elena Vitali, Maria Carolina Florian, Paula Petrone   +5 more
wiley   +1 more source

Direct Construction of Quantized Tensor Trains With Small Rank for Laplace‐ or Gaussian‐Transformed Analytic Functions

International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.
ABSTRACT Preparing quantum states with desired amplitude distributions is a key bottleneck in the implementation of quantum linear and nonlinear dynamics solvers, including Linear Combination of Hamiltonian Simulation (LCHS) and Schrödingerization. We present a direct, closed‐form construction of Quantized Tensor Train (QTT) representations for two ...
Katsuhiro Endo, Kazuaki Z. Takahashi
wiley   +1 more source

On the Probabilistic Approximation in Reproducing Kernel Hilbert Spaces

Complex Analysis and Operator Theory
This paper studies the probabilistic function approximation problem over reproducing kernel Hilbert spaces. We show the existence and uniqueness of the optimizer under mild assumptions. Furthermore, we generalize the celebrated representer theorem to our setting, and especially when the probability measure is finitely supported, or the Hilbert space is
Chen, Dongwei, Wang, Kai-Hsiang
openaire   +2 more sources

Stem Cell Differentiation Disperses Transcriptional Clusters via a Conserved Surface‐Condensate Trajectory

Advanced Science, Volume 13, Issue 49, 3 September 2026.
Stem cell differentiation follows a conserved surface condensate trajectory: H3K27ac super enhancers nucleate large RNA polymerase II clusters that grow and unfold before transcriptional activity disperses them. This work reveals how biophysical forces at enhancer surfaces dynamically build and dismantle stem cell transcription hubs, reshaping cell ...
Tim Klingberg, Irina Wachter, Agnieszka Pancholi, Matthias Akyel, Yomna Gohar, Priya Kumar, Ana Miguel Fernandes, Yuzhi Bao, Alica Schmidt‐Heydt, Marcel Piepers, Alicia Günthel, Marcel Sobucki, Elisa Kämmer, Süheyla Eroğlu‐Kayıkçı, Stephan Allgeier, Sylvia Erhardt, Vasily Zaburdaev, Carmelo Ferrai, Lennart Hilbert   +18 more
wiley   +1 more source

Sampling the diagnostic signals. Part 1. Sampling in the reproducing kernel Hilbert space with Shanon kernel [PDF]

, 2007
W pracy przedstawiono matematyczny opis sygnałów diagnostycznych przestrzeni Hilberta oraz sposób konstrukcji tej przestrzeni. Podano teorię jąder reprodukujących w zastosowaniu do próbkowania sygnałów diagnostycznych oraz zapis klasycznego twierdzenia o
Syroka, Z.
core  

Reproducing kernel Hilbert space method for the solutions of generalized Kuramoto–Sivashinsky equation

, 2019
Reproducing kernel Hilbert space method is given for the solution of generalized Kuramoto–Sivashinsky equation. Reproducing kernel functions are obtained to get the solution of the generalized Kuramoto–Sivashinsky equation.
Ali Akgül, Ebenezer Bonyah
core   +1 more source

ORBIT‐AMD: Ordinal Risk, Bilateral Imaging, and Trajectory Learning for Age‐Related Macular Degeneration in Multi‐Cohorts

Advanced Science, Volume 13, Issue 53, 24 September 2026.
Eligibility flow and real‐world AMD burden in the UKB retinal imaging cohort and TMUEH external‐validation cohort. Overview of the ORBIT‐AMD architecture, integrating retinal representation pretraining, bilateral eye‐graph modeling and concept bottleneck learning to support ordered risk, bilateral context, interpretable lesion concepts, longitudinal ...
Xuehao Cui, Dejia Wen, Patrick Yu‐Wai‐Man, Xiaorong Li   +3 more
wiley   +1 more source