Results 61 to 70 of about 1,726,318 (276)
Adjoint Operator in Probabilistic Hilbert Space [PDF]
, 2014 : The purpose of this paper is to give a definition for the adjoint operator in Probabilistic Hilbert Space and its properties by using Riesz Representation Theorem.
Ali, Dalia Sami, I.M, Radhi
core +1 more source
Adjoint Map Representation for Shape Analysis and Matching [PDF]
Computer Graphics Forum, 2017 AbstractIn this paper, we propose to consider the adjoint operators of functional maps, and demonstrate their utility in several tasks in geometry processing. Unlike a functional map, which represents a correspondence simply using the pull‐back of function values, the adjoint operator reflects both the map and its distortion with respect to given inner
Huang, Ruqi, Ovsjanikov, Maks
openaire +2 more sources
, 2023 This paper presents a concise mathematical framework for investigating both feed-forward and backward process, during the training to learn model weights, of an artificial neural network (ANN).
Ahmed Boughammoura (15294187)
core +1 more source
Quantization of Polaritons Confined in Dielectric Structures
Laser &Photonics Reviews, EarlyView.This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani +4 more
wiley +1 more source
Diagonalization of a self-adjoint operator acting on a Hilbert module
International Journal of Mathematics and Mathematical Sciences, 1985 For each bounded self-adjoint operator T on a Hilbert module H over an H*-algebra A there exists a locally compact space m and a certain A-valued measure μ such that H is isomorphic to L2(μ)⊗A and T corresponds to a multiplication with a continuous ...
Parfeny P. Saworotnow
doaj +1 more source
Adjoint functors on the representation category of $\mathscr{OI}$
, 2021 In this paper we study adjunction relations between some natural functors on the representation category of the category of finite linearly ordered sets and order-preserving injections. We also prove that the Nakayama functor induces an equivalence from the Serre quotient of the category of finitely generated modules by the category of finitely ...
Gan, Wee Liang, Li, Liping
openaire +3 more sources
Multifunctionality in Silicon Photonics Through Temperature‐Driven Inverse Design
Laser &Photonics Reviews, EarlyView.Temperature‐conditioned inverse design embeds thermo‐optic reconfigurability directly into compact silicon photonic devices. By co‐optimizing a single geometry at 300 K (T1) and 520 K (T2), the same structure supports distinct optical functions, enabling experimentally verified switching and mode conversion without resonant architectures or additional ...
Berkay Neseli +8 more
wiley +1 more source
Development of a variational flux inversion system (INVICAT v1.0) using the TOMCAT chemical transport model [PDF]
Geoscientific Model Development, 2014 We present a new variational inverse transport model, named INVICAT (v1.0), which is based on the global chemical transport model TOMCAT, and a new corresponding adjoint transport model, ATOMCAT.
C. Wilson +3 more
doaj +1 more source
A Self‐Evolving Agentic Framework for Metasurface Inverse Design
Laser &Photonics Reviews, EarlyView.Turning a target optical response into working inverse‐design code normally demands specialized computational‐electromagnetics and software‐engineering expertise. A self‐evolving agentic framework lowers this barrier: from a natural‐language request, it writes the optimization code that drives a physical solver and improves itself by revising human ...
Yi Huang +6 more
wiley +1 more source
Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion
Mathematische Nachrichten, EarlyView.ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng +3 more
wiley +1 more source