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Multilayer networks have become increasingly ubiquitous across diverse scientific fields, ranging from social sciences and biology to economics and international relations. Despite their broad applications, the inferential theory for…

Methodology · Statistics 2026-02-24 Zhaozhe Liu , Gongjun Xu , Haoran Zhang

Fractal Interpolation has been proposed in the literature as an efficient way to construct closure models for the numerical solution of coarse-grained Navier-Stokes equations. It is based on synthetically generating a scale-invariant…

Fluid Dynamics · Physics 2016-08-16 Sukanta Basu , Efi Foufoula-Georgiou , Fernando Porté-Agel

Long simulation times in climate sciences typically require coarse grids due to computational constraints. Nonetheless, unresolved subscale information significantly influences the prognostic variables and can not be neglected for reliable…

Numerical Analysis · Mathematics 2018-02-22 Konrad Simon , Jörn Behrens

Inspired by the Boltzmann kinetics, we propose a collision-based dynamics with a Monte Carlo solution algorithm that approximates the solution of the multi-marginal optimal transport problem via randomized pairwise swapping of sample…

Artificial Intelligence · Computer Science 2025-08-05 Mohsen Sadr , Hossein Gorji

The trace formula for the evolution operator associated with nonlinear stochastic flows with weak additive noise is cast in the path integral formalism. We integrate over the neighborhood of a given saddlepoint exactly by means of a smooth…

chao-dyn · Physics 2009-10-31 Predrag Cvitanovic , C. P. Dettmann , Ronnie Mainieri , Gabor Vattay

We develop a simple theoretical framework for transport in magnetic multilayers, based on Landauer-Buttiker scattering formalism and Random Matrix Theory. A simple transformation allows one to go from the scattering point of view to…

Mesoscale and Nanoscale Physics · Physics 2009-10-07 Valentin S. Rychkov , Simone Borlenghi , Henri Jaffres , Albert Fert , Xavier Waintal

A fuzzy theoretic analytical approach was recently introduced that leads to efficient and robust models while addressing automatically the typical issues associated to parametric deep models. However, a formal conceptualization of the fuzzy…

Machine Learning · Computer Science 2022-06-13 Mohit Kumar , Bernhard A. Moser , Lukas Fischer , Bernhard Freudenthaler

Multiperforated plates exhibit high gradients and a loss of regularity concentrated in a boundary layer for which a direct numerical simulation becomes very expensive. For elliptic equations the solution at some distance of the boundary is…

Analysis of PDEs · Mathematics 2024-08-22 Kersten Schmidt , Sven Pfaff

The basic aim of our study is to give a possible model for handling uncertain information. This model is worked out in the framework of DATALOG. At first the concept of fuzzy Datalog will be summarized, then its extensions for…

Artificial Intelligence · Computer Science 2010-04-08 Agnes Achs

Fuzzy modeling has many advantages over the non-fuzzy methods, such as robustness against uncertainties and less sensitivity to the varying dynamics of nonlinear systems. Data-driven fuzzy modeling needs to extract fuzzy rules from the…

Systems and Control · Computer Science 2018-06-08 Erick de la Rosa , Wen Yu

We demonstrate that a Hermitian matrix model can be derived from level truncated open string field theory with Chan-Paton factors. The Hermitian matrix is coupled with a scalar and a $U(N)$ vector which are responsible for the D-brane at…

High Energy Physics - Theory · Physics 2016-09-20 Syoji Zeze

We study dynamics of a membrane and its matrix regularisation. We present the matrix regularisation for a membrane propagating in a curved space-time geometry in the presence of an arbitrary 3-form field. In the matrix regularisation, we…

High Energy Physics - Theory · Physics 2010-11-10 Qasem Exirifard

We study a Hermitian matrix model with the standard quartic potential amended by a $\mathrm{tr}(R\Phi^2)$ term for fixed external matrix $R$. This is motivated by a curvature term in the truncated Heisenberg algebra formulation of the…

High Energy Physics - Theory · Physics 2023-02-08 D. Prekrat , D. Ranković , N. K. Todorović-Vasović , S. Kováčik , J. Tekel

This paper presents a nested tracking framework for analyzing cycles in 2D force networks within granular materials. These materials are composed of interacting particles, whose interactions are described by a force network. Understanding…

Graphics · Computer Science 2024-09-11 Farhan Rasheed , Abrar Naseer , Emma Nilsson , Talha Bin Masood , Ingrid Hotz

In this article, I introduce the notion of Fuzzy-based Higher adaptive order sliding mode observers through the example of the super-twisting adaptive order sliding mode observer. I begin by presenting the super-twisting second order…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Mohamed Camil Belhadjoudja

We study a scalar field on a noncommutative model of spacetime, the fuzzy de Sitter space, which is based on the algebra of the de Sitter group $SO(1,d)$ and its unitary irreducible representations. We solve the Klein-Gordon equation in…

High Energy Physics - Theory · Physics 2024-03-19 Bojana Brkic , Ilija Buric , Maja Buric , Dusko Latas

Matrix inequalities that extend certain scalar ones have been at the center of numerous researchers' attention. In this article, we explore the celebrated subadditive inequality for matrices via concave functions and present a reversed…

Functional Analysis · Mathematics 2022-08-23 I. H. Gumus , H. R. Moradi , M. Sababheh

In this contribution we describe a novel procedure to represent fuzziness in rating scales in terms of fuzzy numbers. Following the rationale of fuzzy conversion scale, we adopted a two-step procedure based on a psychometric model (i.e.,…

Applications · Statistics 2021-12-10 Antonio Calcagnì

The friction force observed at macroscale is the result of interactions at various lower length scales that are difficult to model in a combined manner. For this reason, simplified approaches are required, depending on the specific aspect…

Materials Science · Physics 2018-01-12 Gianluca Costagliola , Federico Bosia , Nicola M. Pugno

In recent work (arXiv:1006.3100v1), we have presented a novel approach for improving particle filters for multi-target tracking. The suggested approach was based on drift homotopy for stochastic differential equations. Drift homotopy was…

Numerical Analysis · Mathematics 2011-02-11 Vasileios Maroulas , Panagiotis Stinis