Image de couverture de livre

Pointwise convergence of Fourier series and deep neural network for the indicator function of d-dimensional ball

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Kawasumi, Ryota, Yoneda, Tsuyoshi
Format:	Preprint
Publié:	2023
Sujets:	Machine Learning Information Theory Analysis of PDEs
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Universality of almost periodic orbits in certain composite functions
par: Nakayama, Chikara, et autres
Publié: (2023)

A physics-informed neural network framework for modeling obstacle-related equations
par: Bahja, Hamid El, et autres
Publié: (2023)

Space-time deep neural network approximations for high-dimensional partial differential equations
par: Hornung, Fabian, et autres
Publié: (2020)

Learning functional components of PDEs from data using neural networks
par: Loman, Torkel E., et autres
Publié: (2026)

Nonlinear Scale-Local Geometric Deformations of Vortex Rings in Smooth Euler Flows via Bayesian Optimization and Adjoint Methods
par: Yoneda, Tsuyoshi
Publié: (2025)

Information theory and discriminative sampling for model discovery
par: Bao, Yuxuan, et autres
Publié: (2025)

Consistency of augmentation graph and network approximability in contrastive learning
par: Li, Chenghui, et autres
Publié: (2025)

Unified generalization analysis for physics informed neural networks
par: Hashimoto, Yuka, et autres
Publié: (2026)

Vortex Stretching in the Navier-Stokes Equations and Information Dissipation in Diffusion Models: A Reformulation from a Partial Differential Equation Viewpoint
par: Yoneda, Tsuyoshi
Publié: (2026)

Physics-informed deep learning and compressive collocation for high-dimensional diffusion-reaction equations: practical existence theory and numerics
par: Brugiapaglia, Simone, et autres
Publié: (2024)

Conformal mapping based Physics-informed neural networks for designing neutral inclusions
par: Cho, Daehee, et autres
Publié: (2025)

Approximation Rates in Fréchet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers
par: Abdeljawad, Ahmed, et autres
Publié: (2024)

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions
par: Jain, Nishant, et autres
Publié: (2025)

Multi-Step Consistency Models: Fast Generation with Theoretical Guarantees
par: Jain, Nishant, et autres
Publié: (2025)

On the continuum limit of t-SNE for data visualization
par: Calder, Jeff, et autres
Publié: (2026)

Models for information propagation on graphs
par: Dunbar, Oliver R. A., et autres
Publié: (2022)

Birth-death dynamics for sampling: Global convergence, approximations and their asymptotics
par: Lu, Yulong, et autres
Publié: (2022)

From Monte Carlo to neural networks approximations of boundary value problems
par: Beznea, Lucian, et autres
Publié: (2022)

Regularity of solution maps of the generalized surface quasi-geostrophic equations
par: Misiołek, Gerard, et autres
Publié: (2026)

Fisher-Rao Gradient Flow: Geodesic Convexity and Functional Inequalities
par: Carrillo, José A., et autres
Publié: (2024)

Pointwise convergence to initial data of heat and Hermite-heat equations in Modulation Spaces
par: Bhimani, Divyang G., et autres
Publié: (2025)

On the Properties and Estimation of Pointwise Mutual Information Profiles
par: Czyż, Paweł, et autres
Publié: (2023)

Unraveling Self-Similar Energy Transfer Dynamics: a Case Study for 1D Burgers System
par: Matharu, Pritpal, et autres
Publié: (2025)

A transport approach to the cutoff phenomenon
par: Pedrotti, Francesco, et autres
Publié: (2025)

Regularized Stein Variational Gradient Flow
par: He, Ye, et autres
Publié: (2022)

Solving the Poisson Equation with Dirichlet data by shallow ReLU$^α$-networks: A regularity and approximation perspective
par: Vaishampayan, Malhar, et autres
Publié: (2024)

Pointwise Weyl Laws for Quantum Completely Integrable Systems
par: Eswarathasan, Suresh, et autres
Publié: (2024)

Strichartz and dispersive estimates for quantum bouncing ball model: exponential sums and Van der Corput methods in 1d semi-classical Schrödinger equations
par: Ivanovici, Oana
Publié: (2025)

Category learning in deep neural networks: Information content and geometry of internal representations
par: Bonnasse-Gahot, Laurent, et autres
Publié: (2025)

Shifted Composition II: Shift Harnack Inequalities and Curvature Upper Bounds
par: Altschuler, Jason M., et autres
Publié: (2023)

Pointwise behavior of SU(1,1) nonlinear Fourier transform
par: Denisov, Sergey A.
Publié: (2026)

A novel framework for generalization of deep hidden physics models
par: Kag, Vijay, et autres
Publié: (2024)

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs
par: Faroughi, Salah A., et autres
Publié: (2025)

Anomalous smoothing effect on the incompressible Navier-Stokes-Fourier limit from Boltzmann with periodic velocity
par: Gu, Zhongyang, et autres
Publié: (2023)

Pointwise convergence of the Klein-Gordon flow
par: Lucà, Renato, et autres
Publié: (2024)

Explicit construction of recurrent neural networks effectively approximating discrete dynamical systems
par: Nakayama, Chikara, et autres
Publié: (2024)

A physics-encoded Fourier neural operator approach for surrogate modeling of divergence-free stress fields in solids
par: Khorrami, Mohammad S., et autres
Publié: (2024)

Pointwise bounds on Dirichlet Green's functions for a singular drift term
par: Pathak, Aritro
Publié: (2025)

Pointwise convergence for the heat equation on tori $\mathbb T^n$ and waveguide manifold $\mathbb T^n \times \mathbb R^m$
par: Bhimani, Divyang G., et autres
Publié: (2024)

Propagation of Chaos in Contextual Flow Maps
par: Chen, Shi, et autres
Publié: (2026)