Results 81 to 90 of about 1,685 (212)
Vertical Deformation Mapping: Steering Optimiser Toward Flat Minima
CAAI Transactions on Intelligence Technology, Volume 11, Issue 3, Page 835-846, June 2026.ABSTRACT Standard deep learning optimisation is typically conducted on shape‐fixed loss surfaces. However, shape‐fixed loss surfaces may impede optimisers from reaching flat regions closely associated with strong generalisation. In this work, we propose a new paradigm named deformation mapping to deform the loss surface during optimisation.
Liangming Chen +4 more
wiley +1 more source
Ruled Real Hypersurfaces in the Indefinite Complex Projective Space
, 2022 The main two families of real hypersurfaces in complex space forms are Hopf and ruled. However, very little is known about real hypersurfaces in the indefinite complex projective space $\cpn$.
Pérez, Juan de Dios +2 more
core
Some structure theorems for Weingarten surfaces
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Let M⊂R3$M\subset \mathbb {R}^3$ be a properly embedded, connected, complete surface with boundary a convex planar curve C$C$, satisfying an elliptic equation H=f(H2−K)$H=f(H^2-K)$, where H$H$ and K$K$ are the mean and the Gauss curvature, respectively—which we will refer to as Weingarten equation.
Angelo Benedetti
wiley +1 more source
Study of real hypersurfaces of non-flat complex space forms
, 2011 J. de Dios Perez, F. G. Santos and Y. J. Suh in [29], studied real hypersurfaces of dimension greater than 3 in complex projective spaces, whose Jacobi structure operator is of Codazzi type.
Theofanidis, Theocharis +1 more
core +1 more source
The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
Ideal tubular hypersurfaces in real space forms [PDF]
, 2006 summary:In this article we give a classification of tubular hypersurfaces in real space forms which are $\delta (2,2,\ldots ,2 ...
Fastenakels, Johan
core
Optical catastrophes of the swallowtail and butterfly beams
New Journal of Physics, 2017 We experimentally realize higher-order catastrophic structures in light fields presenting solutions of the paraxial diffraction catastrophe integral. They are determined by potential functions whose singular mapping manifests as caustic hypersurfaces in ...
Alessandro Zannotti +3 more
doaj +1 more source
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
Ricci tensor of real hypersurfaces [PDF]
Pacific Journal of Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Dynamics of entanglement in expanding quantum fields
Journal of High Energy Physics, 2018 We develop a functional real-time approach to computing the entanglement between spatial regions for Gaussian states in quantum field theory. The entanglement entropy is characterized in terms of local correlation functions on space-like Cauchy ...
Jürgen Berges +2 more
doaj +1 more source