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Atomistic simulations provide valuable insights into the physical processes governing material behavior. However, their applicability is fundamentally constrained by the limited time scales accessible to brute-force simulations. This…

计算物理 · 物理学 2026-02-16 Michael Kim , Wei Cai

Translating metabolic networks into dynamic models is difficult if kinetic constants are unknown. Structural Kinetic Modelling (SKM) replaces reaction elasticities by independent random numbers. Here I propose a variant that accounts for…

分子网络 · 定量生物学 2022-03-08 Wolfram Liebermeister

The Supreme Court plays an extremely critical role in ensuring adherence to the rule of law and in strengthening the democracy. Due to this reason, modeling and analysis of small group interactions in the courtroom setting is an important…

计算机科学中的逻辑 · 计算机科学 2023-11-10 Susmoy Das , Arpit Sharma

Temporal networks are commonly used to represent dynamical complex systems like social networks, simultaneous firing of neurons, human mobility or public transportation. Their dynamics may evolve on multiple time scales characterising for…

物理与社会 · 物理学 2024-02-27 Elsa Andres , Alain Barrat , Márton Karsai

Many chemical reactions and molecular processes occur on timescales that are significantly longer than those accessible by direct simulation. One successful approach to estimating dynamical statistics for such processes is to use many short…

计算物理 · 物理学 2024-10-03 Chatipat Lorpaiboon , Spencer C. Guo , John Strahan , Jonathan Weare , Aaron R. Dinner

Based on the theory of stochastic chemical kinetics, the inherent randomness and stochasticity of biochemical reaction networks can be accurately described by discrete-state continuous-time Markov chains. The analysis of such processes is,…

数值分析 · 数学 2014-10-14 Andreychenko Alexander , Mikeev Linar , Wolf Verena

There is a lack of methodological results for continuous time change detection due to the challenges of noninformative prior specification and efficient posterior inference in this setting. Most methodologies to date assume data are…

统计方法学 · 统计学 2025-04-28 Dan Cunha , Mark Friedl , Luis Carvalho

Understanding the dynamics of antibody levels is crucial for characterizing the time-dependent response to immune events: either infections or vaccinations. The sequence and timing of these events significantly influence antibody level…

Process mining is a well-established discipline of data analysis focused on the discovery of process models from information systems' event logs. Recently, an emerging subarea of process mining, known as stochastic process discovery, has…

数据库 · 计算机科学 2025-03-07 Anna Kalenkova , Lewis Mitchell , Matthew Roughan

Understanding the dynamics of spatially extended systems represents a challenge in diverse scientific disciplines, ranging from physics and mathematics to the earth and climate sciences or the neurosciences. This challenge has stimulated…

数据分析、统计与概率 · 物理学 2012-08-06 S. Bialonski

We consider a linear stochastic fluid network under Markov modulation, with a focus on the probability that the joint storage level attains a value in a rare set at a given point in time. The main objective is to develop efficient…

概率论 · 数学 2018-05-09 Onno Boxma , Ewan Cahen , David Koops , Michel Mandjes

In this work, we introduce a new and simple transformation from time series to complex networks based on markov-binary visibility graph(MBVG). Due to the simple structure of this transformation in comparison with other transformations be…

数据分析、统计与概率 · 物理学 2011-10-25 Yaser Sadra , Zahra Arasteh-Fard , Sodief Ahadpour

We propose a new approach for estimating the finite dimensional transition matrix of a Markov chain using a large number of independent sample paths observed at random times. The sample paths may be observed as few as two times, and the…

统计方法学 · 统计学 2025-05-20 Daphne Aurouet , Valentin Patilea

Immune events such as infection, vaccination, and a combination of the two result in distinct time-dependent antibody responses in affected individuals. These responses and event prevalences combine non-trivially to govern antibody levels…

种群与进化 · 定量生物学 2024-04-16 Prajakta Bedekar , Rayanne A. Luke , Anthony J. Kearsley

The control of nonlinear dynamical systems remains a major challenge for autonomous agents. Current trends in reinforcement learning (RL) focus on complex representations of dynamics and policies, which have yielded impressive results in…

机器学习 · 计算机科学 2020-05-13 Hany Abdulsamad , Jan Peters

Autonomous detection of desired events from large databases using time series classification is becoming increasingly important in civil engineering as a result of continued long-term health monitoring of a large number of engineering…

机器学习 · 计算机科学 2021-01-19 Monica Arul , Ahsan Kareem

In evolving complex systems such as air traffic and social organizations, collective effects emerge from their many components' dynamic interactions. While the dynamic interactions can be represented by temporal networks with nodes and…

社会与信息网络 · 计算机科学 2017-09-21 Tiago P. Peixoto , Martin Rosvall

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

统计力学 · 物理学 2022-06-30 Cillian Cockrell , Ian J Ford

A comparison theorem for state-dependent regime-switching diffusion processes is established, which enables us to control pathwisely the evolution of the state-dependent switching component simply by Markov chains. Moreover, a sharp…

概率论 · 数学 2024-05-08 Jinghai Shao

We introduce a framework for analyzing ordinary differential equation (ODE) models of biological networks using statistical model checking (SMC). A key aspect of our work is the modeling of single-cell variability by assigning a probability…

定量方法 · 定量生物学 2018-12-05 Bing Liu , Benjamin M. Gyori , P. S. Thiagarajan