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Mathematical models are vital interpretive and predictive tools used to assist in the understanding of cell migration. There are typically two approaches to modelling cell migration: either micro-scale, discrete or macro-scale, continuum.…

细胞行为 · 定量生物学 2018-08-16 Enrico Gavagnin , Christian A. Yates

Stochastic processes on graphs are a powerful tool for modelling complex dynamical systems such as epidemics. A recent line of work focused on the inference problem where one aims to estimate the state of every node at every time, starting…

机器学习 · 统计学 2026-02-23 Davide Ghio , Fabrizio Boncoraglio , Lenka Zdeborová

Embedded random matrix ensembles are generic models for describing statistical properties of finite isolated interacting quantum many-particle systems. For the simplest spinless systems, with say $m$ particles in $N$ single particle states…

量子物理 · 物理学 2015-04-06 V. K. B. Kota , Manan Vyas

This paper discusses and analyzes various models of binary correlated sources, which may be relevant in several distributed communication scenarios. These models are statistically characterized in terms of joint Probability Mass Function…

信息论 · 计算机科学 2023-02-08 Marco Martalo' , Riccardo Raheli

We study classical stochastic systems with discrete states, coupled to switching external environments. For fast environmental processes we derive reduced dynamics for the system itself, focusing on corrections to the adiabatic limit of…

统计力学 · 物理学 2019-03-27 Peter G. Hufton , Yen Ting Lin , Tobias Galla

We develop a new ensemble of modular random graphs in which degree-degree correlations can be different in each module and the inter-module connections are defined by the joint degree-degree distribution of nodes for each pair of modules.…

物理与社会 · 物理学 2014-04-18 Sergey Melnik , Mason A. Porter , Peter J. Mucha , James P. Gleeson

The Bass diffusion equation is a well-known and established modeling approach for describing new product adoption in a competitive market. This model also describes diffusion phenomena in various contexts: infectious disease spread modeling…

最优化与控制 · 数学 2023-04-25 Gabriel Nicolosi , Christopher Griffin

Deep learning-based trajectory prediction models for autonomous driving often struggle with generalization to out-of-distribution (OOD) scenarios, sometimes performing worse than simple rule-based models. To address this limitation, we…

机器人学 · 计算机科学 2024-12-23 Jinning Li , Jiachen Li , Sangjae Bae , David Isele

A reconfigurable pinching-antenna system (PASS) is presented, endowing pinching antennas (PAs) with both amplitude- and phase-controllable radiation beyond conventional implementations. To characterize this feature, a general and physically…

信息论 · 计算机科学 2025-09-09 Zhaolin Wang , Jiaqi Xu , Chongjun Ouyang , Xidong Mu , Yuanwei Liu

We study the statistical properties of the stationary firing-rate states of a neural network model with quenched disorder. The model has arbitrary size, discrete-time evolution equations and binary firing rates, while the topology and the…

神经元与认知 · 定量生物学 2019-07-24 Diego Fasoli , Stefano Panzeri

This paper studies a novel approach for approximating the behavior of compartmental spreading processes. In contrast to prior work, the methods developed describe a dynamics which bound the exact moment dynamics, without explicitly…

最优化与控制 · 数学 2015-07-21 Nicholas J. Watkins , Cameron Nowzari , Victor M. Preciado , George J. Pappas

This paper considers joint active user detection (AUD) and channel estimation (CE) for massive connectivity scenarios with sporadic traffic. The state-of-art method under a Bayesian framework to perform joint AUD and CE in such scenarios is…

信息论 · 计算机科学 2022-08-10 Jia-Cheng Jiang , Hui-Ming Wang , H. Vincent Poor

This work proposes a hybrid modeling framework based on recurrent neural networks (RNNs) and the finite element (FE) method to approximate model discrepancies in time dependent, multi-fidelity problems, and use the trained hybrid models to…

计算工程、金融与科学 · 计算机科学 2024-02-20 Moritz von Tresckow , Herbert De Gersem , Dimitrios Loukrezis

The preferential attachment (PA) model is a popular way of modeling dynamic social networks, such as collaboration networks. Assuming that the PA function takes a parametric form, we propose and study the maximum likelihood estimator of the…

统计理论 · 数学 2022-08-17 Fengnan Gao , Aad van der Vaart

Stochastic nonlinear dynamical systems can undergo rapid transitions relative to the change in their forcing, for example due to the occurrence of multiple equilibrium solutions for a specific interval of parameters. In this paper, we…

数据分析、统计与概率 · 物理学 2020-11-12 S. Baars , D. Castellana , F. W. Wubs , H. A. Dijkstra

Many systems with propagation dynamics, such as spike propagation in neural networks and spreading of infectious diseases, can be approximated by autoregressive models. The estimation of model parameters can be complicated by the…

神经元与认知 · 定量生物学 2021-01-01 Jorge de Heuvel , Jens Wilting , Moritz Becker , Viola Priesemann , Johannes Zierenberg

We use the annealed formulation of complex networks to study the dynamical behavior of disease spreading on both static and adaptive networked systems. This unifying approach relies on the annealed adjacency matrix, representing one network…

物理与社会 · 物理学 2010-11-09 Beniamino Guerra , Jesus Gomez-Gardenes

Computation methods for solving entropy-regularized reward optimization -- a class of problems widely used for fine-tuning generative models -- have advanced rapidly. Among those, Adjoint Matching (AM, Domingo-Enrich et al., 2025) has…

机器学习 · 统计学 2026-02-17 Oswin So , Brian Karrer , Chuchu Fan , Ricky T. Q. Chen , Guan-Horng Liu

Deterministic approximations to stochastic Susceptible-Infectious-Susceptible models typically predict a stable endemic steady-state when above threshold. This can be hard to relate to the underlying stochastic dynamics, which has no…

种群与进化 · 定量生物学 2022-08-12 Christopher E. Overton , Robert R. Wilkinson , Adedapo Loyinmi , Joel C. Miller , Kieran J. Sharkey

We consider a class of approximated message passing (AMP) algorithms and characterize their high-dimensional behavior in terms of a suitable state evolution recursion. Our proof applies to Gaussian matrices with independent but not…

概率论 · 数学 2013-01-01 Adel Javanmard , Andrea Montanari