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Nonlinear stochastic motion presents significant challenges for Bayesian particle tracking. To address this challenge, this paper proposes a framework to construct an invertible transformation that maps the nonlinear state-space model (SSM)…

Methodology · Statistics 2026-04-13 Yonatan L. Ashenafi

Reconfigurable intelligent surface (RIS) is a promising candidate technology of the upcoming Sixth Generation (6G) communication system for its ability to provide unprecedented spectral and energy efficiency increment through passive…

Information Theory · Computer Science 2023-09-29 Haochen Li , Zhiwen Pan , Bin Wang , Nan Liu , Xiaohu You

Stacked Intelligent Metasurfaces (SIM) have emerged as a revolutionary architecture for next-generation wireless communications, offering wave-domain signal processing capabilities with significantly reduced hardware complexity compared to…

Information Theory · Computer Science 2026-01-22 Yuhui Jiao , Qian Zhang , Xuejun Cheng , Yunxiao Li , Yufei Zhao , Ju Liu , Yong Liang Guan

In this work, an efficient and robust isogeometric three-dimensional solid-beam finite element is developed for large deformations and finite rotations with merely displacements as degrees of freedom. The finite strain theory and…

Numerical Analysis · Mathematics 2023-12-13 Abdullah Shafqat , Oliver Weeger , Bai-Xiang Xu

A non-overlapping domain decomposition algorithm is proposed to solve the linear system arising from mixed finite element approximation of incompressible Stokes equations. A continuous finite element space for the pressure is used. In the…

Numerical Analysis · Mathematics 2012-04-10 Jing Li , Xuemin Tu

Isomorphs are curves in the thermodynamic phase diagram of invariant excess entropy, structure, and dynamics, while pseudoisomorphs are curves of invariant structure and dynamics, but not of the excess entropy. The latter curves have been…

Soft Condensed Matter · Physics 2024-10-30 Zahraa Sheydaafar , Jeppe C. Dyre , Thomas B. Schrøder

Similar to variable selection in the linear regression model, selecting significant components in the popular additive regression model is of great interest. However, such components are unknown smooth functions of independent variables,…

Methodology · Statistics 2011-01-04 Xia Cui , Heng Peng , Songqiao Wen , Lixing Zhu

In dynamic magnetic resonance (MR) imaging, low-rank plus sparse (L+S) decomposition, or robust principal component analysis (PCA), has achieved stunning performance. However, the selection of the parameters of L+S is empirical, and the…

Image and Video Processing · Electrical Eng. & Systems 2021-07-21 Wenqi Huang , Ziwen Ke , Zhuo-Xu Cui , Jing Cheng , Zhilang Qiu , Sen Jia , Leslie Ying , Yanjie Zhu , Dong Liang

Model merging has recently emerged as a lightweight alternative to ensembling, combining multiple fine-tuned models into a single set of parameters with no additional training overhead. Yet, existing merging methods fall short of matching…

In this paper, we propose an operator-inference-based reduction approach for contact problems, leveraging snapshots from simulations without active contact. Contact problems are solved using adjoint methods, by switching to the dual system,…

Numerical Analysis · Mathematics 2025-05-26 Diana Manvelyan-Stroot , Yevgeniya Filanova , Igor Pontes Duff , Peter Benner , Utz Wever

We present a method to apply the well-known matrix product state (MPS) formalism to partially separable states in solid state systems. The computational effort of our method is equal to the effort of the standard density matrix…

Quantum Physics · Physics 2013-12-02 A. Gabriel , V. Murg , B. C. Hiesmayr

This work proposes and analyzes a generalized acceleration technique for decreasing the computational complexity of using stochastic collocation (SC) methods to solve partial differential equations (PDEs) with random input data. The SC…

Numerical Analysis · Mathematics 2015-05-05 Diego Galindo , Peter Jantsch , Clayton G. Webster , Guannan Zhang

A Nitche's method is presented to couple different mechanical models. They include coupling of a solid and a beam and of a solid and a plate. Both conforming and non-conforming formulations are presented. In a non-conforming for- mulation,…

Numerical Analysis · Mathematics 2024-11-20 Vinh Phu Nguyen , Pierre Kerfriden , Susanne Claus , Stephane P. A. Bordas

The paper proposes a novel adaptive search space decomposition method and a novel gradient-free optimization-based formulation for the pre- and post-buckling analyses of space truss structures. Space trusses are often employed in structural…

Optimization and Control · Mathematics 2022-11-15 Varun Ojha , Bartolomeo Panto , Giuseppe Nicosia

Compressed Sensing (CS) encompasses a broad array of theoretical and applied techniques for recovering signals, given partial knowledge of their coefficients. Its applications span various fields, including mathematics, physics,…

Optimization and Control · Mathematics 2024-01-18 Gianluca Giacchi , Bastien Milani , Benedetta Franchieschiello

The theoretical analysis of many problems in physics, astronomy and applied mathematics requires an efficient numerical exploration of multimodal parameter spaces that exhibit broken ergodicity. Monte Carlo methods are widely used to deal…

Statistical Mechanics · Physics 2014-09-02 Stefano Martiniani , Jacob D. Stevenson , David J. Wales , Daan Frenkel

We present a new mechanism for long-range entanglement (LRE) in strongly symmetric many-body mixed states that does not rely on symmetry anomalies or long-range correlations. Our primary example is the maximally mixed state in the…

Quantum Physics · Physics 2026-05-15 Leonardo A. Lessa , Tsung-Cheng Lu

We present a new method to study the ground state of quantum spin systems using the Monte Carlo techniques together with restructured intermediate states which we proposed previously. Our basic idea is to obtain coefficients in the…

Condensed Matter · Physics 2016-08-31 Tomo Munehisa , Yasuko Munehisa

Design-space dimensionality reduction is essential to mitigate the cost of high-fidelity simulation-based optimization, especially when dealing with high-dimensional geometric parameterizations. Traditional linear techniques, such as…

Optimization and Control · Mathematics 2025-07-23 Andrea Serani , Giorgio Palma , Jeroen Wackers , Domenico Quagliarella , Stefano Gaggero , Matteo Diez

We propose a novel approach to the inverse Ising problem which employs the recently introduced Density Consistency approximation (DC) to determine the model parameters (couplings and external fields) maximizing the likelihood of given…

Statistical Mechanics · Physics 2021-04-01 Alfredo Braunstein , Giovanni Catania , Luca Dall'Asta , Anna Paola Muntoni
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