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Reaction-diffusion systems are used to represent many biological and physical phenomena. They model the random motion of particles (diffusion) and interactions between them (reactions). Such systems can be modelled at multiple scales with…

Quantitative Methods · Quantitative Biology 2018-06-08 Cameron A. Smith , Christian A. Yates

Several methods exist for finding ground (as well as excited) states of nonlinear waves equations. In this paper we first introduce two modifications of the so-called accelerated imaginary-time evolution method (AITEM). In our first…

Pattern Formation and Solitons · Physics 2017-10-17 C. B. Ward , N. Whitaker , I. G. Kevrekidis , P. G. Kevrekidis

We extend the auxiliary-mass-flow (AMF) method originally developed for Feynman loop integration to calculate integrals involving also phase-space integration. Flow of the auxiliary mass from the boundary ($\infty$) to the physical point…

High Energy Physics - Phenomenology · Physics 2021-02-03 Xiao Liu , Yan-Qing Ma , Wei Tao , Peng Zhang

We develop a new perturbative method for studying any steady states of quantum impurities, in or out of equilibrium. We show that steady-state averages are completely fixed by basic properties of the steady-state (Hershfield's) density…

Strongly Correlated Electrons · Physics 2009-11-13 Benjamin Doyon

The exponential moving average (EMA) is a commonly used statistic for providing stable estimates of stochastic quantities in deep learning optimization. Recently, EMA has seen considerable use in generative models, where it is computed with…

Machine Learning · Computer Science 2023-10-24 Jonathan Patsenker , Henry Li , Yuval Kluger

The Steepest Entropy Ascent (SEA) ansatz, recently recognized as the fourth law of thermodynamics, governs the irreversible evolution of a system from a non-equilibrium state toward a unique maximum-entropy equilibrium. SEA builds upon the…

Quantum Physics · Physics 2025-08-21 Rohit Kishan Ray

Model merging aims to combine multiple task-specific expert models into a single model while preserving generalization across diverse tasks. However, interference among experts, especially when they are trained on different objectives,…

Computation and Language · Computer Science 2026-04-09 Bo Xu , Haotian Wu , Hehai Lin , Weiquan Huang , Beier Zhu , Yao Shu , Chengwei Qin

In this paper, the parameter estimation of ARMA(p,q) model is given by approximate Bayesian computation algorithm. In order to improve the sampling efficiency of the algorithm, approximate Bayesian computation should select as many…

Computation · Statistics 2019-05-01 Linghui Li , Anshui Li , Huizeng Zhang

For many complex systems the interaction of different scales is among the most interesting and challenging features. It seems not very successful to extract the physical properties in different scale regimes by the existing approaches, such…

Fluid Dynamics · Physics 2015-05-14 L. P. Wang , Y. X. Huang

The Auxiliary-Field Quantum Monte Carlo (AFQMC) algorithm is a powerful quantum many-body method that can be used successfully as an alternative to standard quantum chemistry approaches to compute the ground state of many body systems, such…

Chemical Physics · Physics 2018-07-23 Edgar Josué Landinez Borda , John A. Gomez , Miguel A. Morales

Large Language Model (LLM) inference systems present significant challenges in statistical performance characterization due to dynamic workload variations, diverse hardware architectures, and complex interactions between model size, batch…

Performance · Computer Science 2025-05-15 Kaustabha Ray , Nelson Mimura Gonzalez , Bruno Wassermann , Rachel Tzoref-Brill , Dean H. Lorenz

A novel quantum dynamical method to simulate vibronic reaction dynamics in molecules at metal surfaces is proposed. The method is based on the hierarchical quantum master equation approach and uses a discrete variable representation of the…

Chemical Physics · Physics 2019-12-05 A. Erpenbeck , M. Thoss

A study for checking validity of the auxiliary field method (AFM) is made in quantum mechanical four-fermi models which act as a prototype of models for chiral symmetry breaking in Quantum Electrodynamics. It has been shown that AFM,…

High Energy Physics - Theory · Physics 2009-11-11 Taro Kashiwa , Tomohiko Sakaguchi

In this paper, a novel spatial modulation aided non-orthogonal multiple access (SM-NOMA) system is proposed. We use mutual information (MI) to characterize the achievable spectral efficiency (SE) of the proposed SM-NOMA system. Due to the…

Information Theory · Computer Science 2017-05-19 Xuesi Wang , Jintao Wang , Longzhuang He , Zihan Tang , Jian Song

This paper presents a novel method for the sensitivity analysis of electromagnetic (EM) systems whose transfer function (TF), that is the input-output (I/O) relationship between the input parameters affected by tolerance and the system…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Nicola Anselmi , Paolo Rocca , Andrea Massa

Dynamic causal modeling (DCM) is a Bayesian framework to infer directed connections between compartments, and has been used to describe the interactions between underlying neural populations based on functional neuroimaging data. DCM is…

Neurons and Cognition · Quantitative Biology 2021-02-23 Juntang Zhuang , Nicha Dvornek , Sekhar Tatikonda , Xenophon Papademetris , Pamela Ventola , James Duncan

The auxiliary field method is a technique to obtain approximate closed formulae for the solutions of both nonrelativistic and semirelativistic eigenequations in quantum mechanics. For a many-body Hamiltonian describing identical particles,…

Quantum Physics · Physics 2012-01-17 C. Semay , F. Buisseret , B. Silvestre-Brac

The precise characterization of dynamics in open quantum systems often presents significant challenges, leading to the introduction of various approximations to simplify a model. One commonly used strategy involves Markovian approximations,…

Quantum Physics · Physics 2024-12-04 Zhao-Ming Wang , S. L. Wu , Mark S. Byrd , Lian-Ao Wu

Reward fine-tuning has become a common approach for aligning pretrained diffusion and flow models with human preferences in text-to-image generation. Among reward-gradient-based methods, Adjoint Matching (AM) provides a principled…

Machine Learning · Computer Science 2026-05-19 Jeongwoo Shin , Dongsoo Shin , Yuchen Zhu , Wei Guo , Yongxin Chen , Joonseok Lee , Jaewoong Choi , Jaemoo Choi

Detecting complex interactions among risk factors in case-control studies is a fundamental task in clinical and population research. However, though hypothesis testing using logistic regression (LR) is a convenient solution, the LR…

Methodology · Statistics 2015-02-11 Guoqiang Yu , David J. Miller , Carl D. Langefeld , David M. Herrington , Yue Wang