Results 41 to 50 of about 374 (164)

Foundation Models in Diagnosis of Ophthalmic Diseases: Construction and Application

Eye &ENT Research, Volume 3, Issue 2, Page 45-58, June 2026.
ABSTRACT Artificial intelligence holds promise for addressing the uneven distribution of medical resources across different regions. Compared with convolutional neural network models, foundation models offer significant advantages: on one hand, their pre‐training does not rely on massive labeled data; on the other hand, they possess the capability to ...
Xiaolu Huang, Guanran Zhang, Jiayu Xu, Shuyang Chen, Yanrong Li, Xiaodong Sun, Yanlin Qu, Huixun Jia   +7 more
wiley   +1 more source

Competing automorphisms and disordered Floquet codes [PDF]

Topological order is a promising basis for quantum error correction, a key milestone towards large-scale quantum computing. Floquet codes provide a dynamical scheme for this while also exhibiting Floquet-enriched topological order where anyons ...

core   +2 more sources

Maximum number of zeroes of polynomials on weighted projective spaces over a finite field

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
wiley   +1 more source

The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley   +1 more source

Heights of Butterfly Trees

Random Structures &Algorithms, Volume 68, Issue 3, May 2026.
ABSTRACT Binary search trees (BSTs) are fundamental data structures whose performance is largely governed by tree height. We introduce a block model for constructing BSTs by embedding internal BSTs into the nodes of an external BST—a structure motivated by parallel data architectures—corresponding to composite permutations formed via Kronecker or ...
John Peca‐Medlin, Chenyang Zhong
wiley   +1 more source

Which singular tangent bundles are isomorphic?

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley   +1 more source

Involutory permutation automorphisms of binary linear codes

Journal of Algebra and Its Applications, 2023
We investigate the properties of binary linear codes of even length whose permutation automorphism group is a cyclic group generated by an involution. Up to dimension or co-dimension [Formula: see text], we show that there is no quasi-group code whose permutation automorphism group is isomorphic to [Formula: see text].
Fatma Altunbulak Aksu, Roghayeh Hafezieh, İpek Tuvay   +2 more
openaire   +4 more sources

Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings

Advanced Materials, Volume 38, Issue 21, 13 April 2026.
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen, Dongsheng Song, Filipp N. Rybakov, Nikolai S. Kiselev, Long Li, Wen Shi, Rui Wu, Xuewen Fu, Olle Eriksson, Stefan Blügel, Rafal E. Dunin‐Borkowski, Haifeng Du, Fengshan Zheng   +12 more
wiley   +1 more source

Error-correcting codes for fermionic quantum simulation

SciPost Physics
Utilizing the framework of $\mathbb{Z}_2$ lattice gauge theories in the context of Pauli stabilizer codes, we present methodologies for simulating fermions via qubit systems on a two-dimensional square lattice. We investigate the symplectic automorphisms
Yu-An Chen, Alexey V. Gorshkov, Yijia Xu
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source