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We consider the problem of statistical inference for the effective dynamics of multiscale diffusion processes with (at least) two widely separated characteristic time scales. More precisely, we seek to determine parameters in the effective…

统计理论 · 数学 2013-05-30 Sebastian Krumscheid , Grigorios A. Pavliotis , Serafim Kalliadasis

The theory of causal emergence (CE) with effective information (EI) posits that complex systems can exhibit CE, where macro-dynamics show stronger causal effects than micro-dynamics. A key challenge of this theory is its dependence on…

统计力学 · 物理学 2025-03-12 Jiang Zhang , Ruyi Tao , Keng Hou Leong , Mingzhe Yang , Bing Yuan

Self-organizing systems consume energy to generate internal order. The concept of thermodynamic efficiency, drawing from statistical physics and information theory, has previously been proposed to characterise a change in control parameter…

适应与自组织系统 · 物理学 2025-12-12 Qianyang Chen , Nihat Ay , Mikhail Prokopenko

We introduce a new sinc-type molecular beam epitaxy model which is derived from a cosine-type energy functional. The landscape of the new functional is remarkably similar to the classical MBE model with double well potential but has the…

数值分析 · 数学 2021-07-01 Xinyu Cheng , Dong Li , Chaoyu Quan , Wen Yang

One of the main tasks of causal inference is estimating well-defined causal parameters. One of the main causal parameters is the average causal effect (ACE) - the expected value of the individual level causal effects in the target…

统计方法学 · 统计学 2021-12-17 Fernando Pires Hartwig

The quality of astrochemical models is highly dependent on reliable binding energy (BE) values that consider the morphological and energetic variety of binding sites on the surface of ice-grain mantles. Here, we present the Binding Energy…

天体物理仪器与方法 · 物理学 2022-08-31 Giulia M. Bovolenta , Stefan Vogt-Geisse , Stefano Bovino , Tommaso Grassi

A prediction model for the turbulent kinetic energy (TKE) induced by tidal-currents is proposed as a function of the barotropic velocity only, along with a robust method evaluating the different parameters involved using Acoustic Doppler…

In many physical systems, degrees of freedom are coupled \emph{via} hydrodynamic forces, even in the absence of Hamiltonian interactions. A particularly important and widespread example concerns the transport of microscopic particles in…

软凝聚态物质 · 物理学 2025-02-11 Juliette Lacherez , Maxime Lavaud , Yacine Amarouchene , David S. Dean , Thomas Salez

Reconstructing the evolution of post-common-envelope binaries (PCEBs) can constrain current prescriptions of common-envelope (CE) evolution. Analyzing a new sample of PCEBs we derive constraints on one of the most important parameters in…

太阳与恒星天体物理 · 物理学 2010-08-02 M. Zorotovic , M. R. Schreiber , B. T. Gänsicke , A. Nebot Gómez-Morán

We reformulate and reframe a series of increasingly complex parametric statistical topics into a framework of response-vs-covariate (Re-Co) dynamics that is described without any explicit functional structures. Then we resolve these topics'…

统计方法学 · 统计学 2022-10-12 Ting-Li Chen , Hsieh Fushing , Elizabeth P. Chou

This letter highlights the entropy exchange phenomenon in a coupled binary inter-correlating system following Haldane's non-linear statistical correlation. A unique coupling between a classical and a quantum-like system at the marginal…

统计力学 · 物理学 2025-05-22 Projesh Kumar Roy

Parameter estimation, which represents a classical inverse problem, is often ill-posed as different parameter combinations can yield identical outputs. This non-uniqueness poses a critical barrier to accurate and unique identification. This…

The effect of conformational fluctuations of modular macromolecules, such as enzymes, on their diffusion properties is addressed using a simple generic model of an asymmetric dumbbell made of two hydrodynamically coupled subunits. It is…

软凝聚态物质 · 物理学 2017-11-22 Pierre Illien , Tunrayo Adeleke-Larodo , Ramin Golestanian

Causality is a central topic in scientific inquiry, yet for complex systems, the identification and analysis of synergistic causation remain a challenging and fundamental problem. In the context of causal relations among multivariate…

机器学习 · 统计学 2026-05-06 Mingzhe Yang , Shuo Wang , Jiang Zhang

The isoscaling parameter usually denoted by $\alpha$ depends upon both the symmetry energy coefficient and the isotopic contents of the dissociating systems. We compute $\alpha$ in theoretical models: first in a simple mean field model and…

核理论 · 物理学 2008-11-26 G. Chaudhuri , S. Das Gupta , M. Mocko

The Free-Energy Principle (FEP) [1-3] has been adopted in a variety of ambitious proposals that aim to characterize all adaptive, sentient, and cognitive systems within a unifying framework. Judging by the amount of attention it has…

神经元与认知 · 定量生物学 2024-01-18 Zahra Sheikhbahaee , Adam Safron , Casper Hesp , Guillaume Dumas

A transferable potential energy function for describing the interaction between water molecules is presented. The electrostatic interaction is described rigorously using a multipole expansion. Only one expansion center is used per molecule…

化学物理 · 物理学 2017-09-13 K. T. Wikfeldt , E. R. Batista , F. D. Vila , H Jonsson

A broad class of systems, including ecological, epidemiological, and sociological ones, are characterized by populations of individuals assigned to specific categories, e.g., a chemical species, an opinion or an epidemic state, that are…

We analyze the generalized symmetric exclusion process, which allows at most $\alpha$ particles per site, and we put it in contact with stochastic reservoirs whose strength is regulated by a parameter $\theta\in\mathbb R$. We prove that the…

概率论 · 数学 2023-05-24 Chiara Franceschini , Patrícia Gonçalves , Beatriz Salvador

An energy stable finite element scheme within arbitrary Lagrangian Eulerian (ALE) framework is derived for simulating the dynamics of millimetric droplets in contact with solid surfaces. Supporting surfaces considered may exhibit…

数值分析 · 数学 2022-01-11 Filip Ivančić , Maxim Solovchuk