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Cellular regulatory dynamics is driven by large and intricate networks of interactions at the molecular scale, whose sheer size obfuscates understanding. In light of limited experimental data, many parameters of such dynamics are unknown,…

定量方法 · 定量生物学 2014-04-30 Bryan C. Daniels , Ilya Nemenman

The dynamics of biological systems, from proteins to cells to organisms, is complex and stochastic. To decipher their physical laws, we need to bridge between experimental observations and theoretical modeling. Thanks to progress in…

软凝聚态物质 · 物理学 2024-06-05 Pierre Ronceray

Likelihood-based inference in stochastic non-linear dynamical systems, such as those found in chemical reaction networks and biological clock systems, is inherently complex and has largely been limited to small and unrealistically simple…

统计计算 · 统计学 2024-07-08 Ben Swallow , David A. Rand , Giorgos Minas

Inferring the structure and dynamics of network models is critical to understanding the functionality and control of complex systems, such as metabolic and regulatory biological networks. The increasing quality and quantity of experimental…

动力系统 · 数学 2016-05-27 Niall M. Mangan , Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

Nonlinear dynamic models are widely used for characterizing functional forms of processes that govern complex biological pathway systems. Over the past decade, validation and further development of these models became possible due to data…

统计方法学 · 统计学 2019-08-13 Itai Dattner , Shota Gugushvili , Harold Ship , Eberhard O. Voit

Biological systems commonly exhibit complex spatiotemporal patterns whose underlying generative mechanisms pose a significant analytical challenge. Traditional approaches to spatiodynamic inference rely on dimensionality reduction through…

定量方法 · 定量生物学 2025-08-01 Jun Won Park , Kangyu Zhao , Sanket Rane

Complex dynamical systems, from macromolecules to ecosystems, are often modeled by stochastic differential equations. To learn such models from data, a common approach involves sparse selection among a large function library. However, we…

软凝聚态物质 · 物理学 2025-09-04 Andonis Gerardos , Pierre Ronceray

Stochastic systems in biology often exhibit substantial variability within and between cells. This variability, as well as having dramatic functional consequences, provides information about the underlying details of the system's behaviour.…

定量方法 · 定量生物学 2015-11-09 Iain G. Johnston

Stochastic models of biochemical reaction networks are widely used to capture intrinsic noise in cellular systems. The typical formulation of these models are based on Markov processes for which there is extensive research on efficient…

分子网络 · 定量生物学 2025-12-03 Thomas P. Steele , David J. Warne

Many real-world systems can be described by mathematical models that are human-comprehensible, easy to analyze and help explain the system's behavior. Symbolic regression is a method that can automatically generate such models from data.…

神经与进化计算 · 计算机科学 2023-06-28 Jiří Kubalík , Erik Derner , Robert Babuška

A system responding to a stochastic driving signal can be interpreted as computing, by means of its dynamics, an implicit model of the environmental variables. The system's state retains information about past environmental fluctuations,…

统计力学 · 物理学 2012-10-09 Susanne Still , David A. Sivak , Anthony J. Bell , Gavin E. Crooks

Online system identification algorithms are widely used for monitoring, diagnostics and control by continuously adapting to time-varying dynamics. Typically, these algorithms consider a model structure that lacks parsimony and offers…

系统与控制 · 电气工程与系统科学 2025-04-28 Koen Classens , Rodrigo A. González , Tom Oomen

The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in different contexts. Here we propose a generative model to capture the essential dynamics of survival analysis,…

物理与社会 · 物理学 2015-06-18 Trevor Fenner , Mark Levene , George Loizou

Learning identifiable representations and models from low-level observations is helpful for an intelligent spacecraft to complete downstream tasks reliably. For temporal observations, to ensure that the data generating process is provably…

机器学习 · 计算机科学 2024-12-05 Congxi Zhang , Yongchun Xie

Car-following behavior modeling is critical for understanding traffic flow dynamics and developing high-fidelity microscopic simulation models. Most existing impulse-response car-following models prioritize computational efficiency and…

应用统计 · 统计学 2025-04-09 Chengyuan Zhang , Wenshuo Wang , Lijun Sun

In this paper we propose a novel approach to identify dynamical systems. The method estimates the model structure and the parameters of the model simultaneously, automating the critical decisions involved in identification such as model…

系统与控制 · 计算机科学 2020-01-16 Dhruv Khandelwal , Maarten Schoukens , Roland Tóth

We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are sub-cellular elements, which interact with each other through phenomenological intra- and…

定量方法 · 定量生物学 2007-05-23 T. J. Newman

We propose a method for inference on moderately high-dimensional, nonlinear, non-Gaussian, partially observed Markov process models for which the transition density is not analytically tractable. Markov processes with intractable transition…

统计方法学 · 统计学 2020-04-02 Joonha Park , Edward L. Ionides

In this paper an efficient model based diagnostic process is described for systems whose components possess a causal relation between their inputs and their outputs. In this diagnostic process, firstly, a set of focuses on likely broken…

人工智能 · 计算机科学 2022-09-21 Nico Roos

Inspired by applications in sports where the skill of players or teams competing against each other varies over time, we propose a probabilistic model of pairwise-comparison outcomes that can capture a wide range of time dynamics. We…

机器学习 · 统计学 2019-05-20 Lucas Maystre , Victor Kristof , Matthias Grossglauser
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