Cover Image

Why High-rank Neural Networks Generalize?: An Algebraic Framework with RKHSs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hashimoto, Yuka, Sonoda, Sho, Ishikawa, Isao, Ikeda, Masahiro
Format:	Preprint
Published:	2025
Subjects:	Machine Learning Functional Analysis Representation Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Deep Ridgelet Transform and Unified Universality Theorem for Deep and Shallow Joint-Group-Equivariant Machines
by: Sonoda, Sho, et al.
Published: (2024)

A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks
by: Sonoda, Sho, et al.
Published: (2024)

Koopman-based generalization bound: New aspect for full-rank weights
by: Hashimoto, Yuka, et al.
Published: (2023)

Why and When Deep is Better than Shallow: Implementation-Agnostic State-Transition Model of Deep Learning
by: Sonoda, Sho, et al.
Published: (2025)

Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces
by: Ishikawa, Isao, et al.
Published: (2024)

Any-Dimensional Invariant Universality
by: Yao, Shengtai, et al.
Published: (2026)

Fast, Convex and Conditioned Network for Multi-Fidelity Vectors and Stiff Univariate Differential Equations
by: Rout, Siddharth
Published: (2025)

Noncommutative $C^*$-algebra Net: Learning Neural Networks with Powerful Product Structure in $C^*$-algebra
by: Hataya, Ryuichiro, et al.
Published: (2023)

Unified generalization analysis for physics informed neural networks
by: Hashimoto, Yuka, et al.
Published: (2026)

Modulation spaces on the Heisenberg group
by: Biswas, Md Hasan Ali, et al.
Published: (2025)

Dual Frame Completion Problem
by: Aceska, Roza, et al.
Published: (2025)

Translation--Modulation Identities, Ergodic Log-Products and a Conditional Obstruction for Schwartz Functions
by: Oussa, Vignon
Published: (2025)

Density conditions with stabilisers for lattice orbits of discrete series representations
by: van Velthoven, Jordy Timo
Published: (2025)

Decompositions of linear operators on pre-euclidean spaces by means of graphs
by: Abdelwahab, Hani, et al.
Published: (2024)

Coherent frames with zero Beurling density
by: Beltita, Ingrid, et al.
Published: (2026)

A Generalized Fourier Transform and a Smooth Analogue of Dunkl Operators
by: Aoyama, Temma
Published: (2026)

Explicit Formulas for the One-Parameter Group Generated by the Dunkl Operator on $\mathbb{R}$
by: Aoyama, Temma
Published: (2026)

Boundedness of the dyadic maximal function on graded Lie groups
by: Cardona, Duván, et al.
Published: (2023)

Estimates for the full maximal function on graded Lie groups
by: Cardona, Duván
Published: (2024)

Deep Koopman-layered Model with Universal Property Based on Toeplitz Matrices
by: Hashimoto, Yuka, et al.
Published: (2024)

Tight frames over the quaternions and equiangular lines
by: Waldron, Shayne
Published: (2020)

The Topology of the Unitary Dual of Crystallography Groups
by: Chan, Frankie, et al.
Published: (2024)

Cohomology of Fuchsian groups and Fourier interpolation
by: Gerbelli-Gauthier, Mathilde, et al.
Published: (2024)

Failure of stability of a maximal operator bound for perturbed Nevo-Thangavelu means
by: Ryu, Jaehyeon, et al.
Published: (2025)

The Atiyah-Schmid formula for reductive groups
by: Yang, Jun
Published: (2025)

On the Jacobs-de Leeuw-Glicksberg decomposition
by: Barthmann, Micky, et al.
Published: (2025)

Fourier and Helgason Fourier transforms for Vector Bundle-valued Differential Forms on Homogeneous Spaces
by: Oyadare, Olufemi O.
Published: (2025)

Hyperrigidity III
by: Pietrzycki, Paweł, et al.
Published: (2024)

Banach space representations of Drinfeld-Jimbo algebras and their complex-analytic forms
by: Aristov, Oleg
Published: (2020)

Solvability of invariant systems of differential equations on $\mathbb{H}^2$ and beyond
by: Palmirotta, Guendalina, et al.
Published: (2022)

Estimating the Euclidean distortion of an orbit space
by: Blum-Smith, Ben, et al.
Published: (2025)

Bounds for Characters of the Symmetric Group: A Hypercontractive Approach
by: Lifshitz, Noam, et al.
Published: (2023)

Some functorial properties of Schatten classes
by: Singh, Lav Kumar, et al.
Published: (2019)

Pointwise Generalization in Deep Neural Networks
by: Li, Shaojie, et al.
Published: (2026)

BGG sequences with weak regularity and applications
by: Čap, Andreas, et al.
Published: (2022)

$C^*$-Algebraic Machine Learning: Moving in a New Direction
by: Hashimoto, Yuka, et al.
Published: (2024)

Learning in RKHM: a $C^*$-Algebraic Twist for Kernel Machines
by: Hashimoto, Yuka, et al.
Published: (2022)

Analytic diffeomorphisms of the circle and topological Riemann-Roch theorem for circle fibrations
by: Osipov, Denis V.
Published: (2025)

Covariant projective representations of Hilbert-Lie groups
by: Neeb, Karl-Hermann, et al.
Published: (2024)

Permutation Equivariant Neural Networks for Symmetric Tensors
by: Pearce-Crump, Edward
Published: (2025)