Results 21 to 30 of about 56 (56)
Journal of Chemometrics, Volume 39, Issue 7, July 2025.ABSTRACT Multidimensional separations data have the capacity to reveal detailed information about complex biological samples. However, data analysis has been an ongoing challenge in the area because the peaks that represent chemical factors may drift over the course of several analytical runs along the first‐ and second‐dimension retention times.
Michael Sorochan Armstrong
wiley +1 more source
Mean‐field limit of non‐exchangeable systems
Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin +2 more
wiley +1 more source
A Note on the Local Observability of Uniform Hypergraphs
Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 1, March 2025.ABSTRACT Hypergraphs generalize graphs in such a way that edges may connect any number of nodes. If all edges are adjacent to the same number of nodes, the hypergraph is called uniform. Thus, a graph is a 2‐uniform hypergraph. Each uniform hypergraph can be identified with an autonomous dynamical state‐space system, whose vector field is composed of ...
Daniel Gerbet, Klaus Röbenack
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On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates
Communications on Pure and Applied Mathematics, Volume 78, Issue 2, Page 211-322, February 2025.Abstract Our goal in this paper is to initiate the rigorous investigation of wave turbulence and derivation of wave kinetic equations (WKEs) for water waves models. This problem has received intense attention in recent years in the context of semilinear models, such as Schrödinger equations or multidimensional KdV‐type equations. However, our situation
Yu Deng +2 more
wiley +1 more source
Double Copy From Tensor Products of Metric BV■‐Algebras
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten +5 more
wiley +1 more source
Geometric Relational Framework for General‐Relativistic Gauge Field Theories
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract It is recalled how relationality arises as the core insight of general‐relativistic gauge field theories from the articulation of the generalized hole and point‐coincidence arguments. Hence, a compelling case for a manifestly relational framework ensues naturally.
Jordan T. François, Lucrezia Ravera
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Nonlinear Optics Through the Field Tensor Formalism
Laser &Photonics Reviews, Volume 19, Issue 2, January 22, 2025.This review delves into the symmetry properties of electric fields and susceptibility tensors. It explores scenarios where propagation effects are negligible and situations where propagation is significant, elucidating the role of the field tensor in phase‐matching considerations.
Julien Duboisset +4 more
wiley +1 more source
IET Image Processing, Volume 19, Issue 1, January/December 2025.This paper proposes a quaternion‐based framework for color image restoration, addressing challenges such as color distortion and structural artifacts. By combining low‐rank pseudo‐norm constraints with saturation‐value total variation (SVTV) regularization and solving via ADMM, the method achieves high‐quality results in denoising, deblurring, and ...
Zipeng Fu +3 more
wiley +1 more source
IET Radar, Sonar &Navigation, Volume 19, Issue 1, January/December 2025.A generalisation of the Kalman Filter and Linar Quadratic Gaussian controller to deal with multi‐sensor and multi‐agent/target scenarios is developed through tensor algebra. Applications of the tensor‐LQG allow developing parallel optimal control and waveform design suitable for multi‐radar and multi‐agent/target systems.
Alfonso Farina +3 more
wiley +1 more source
Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries. [PDF]
Living Rev Relativ, 2006 Blanchet L.
europepmc +1 more source