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Systems biology models are useful models of complex biological systems that may require a large amount of experimental data to fit each model's parameters or to approximate a likelihood function. These models range from a few to thousands…

Quantitative Methods · Quantitative Biology 2024-07-12 Vincent D. Zaballa , Elliot E. Hui

With the rise of computers, simulation models have emerged beside the more traditional statistical and mathematical models as a third pillar for ecological analysis. Broadly speaking, a simulation model is an algorithm, typically…

Populations and Evolution · Quantitative Biology 2018-12-24 Florian Hartig

We introduce a new dynamic model with the capability of recognizing both activities that an individual is performing as well as where that ndividual is located. Our model is novel in that it utilizes a dynamic graphical model to jointly…

Artificial Intelligence · Computer Science 2012-07-02 Amarnag Subramanya , Alvin Raj , Jeff A. Bilmes , Dieter Fox

Active constituents burn fuel to sustain individual motion, giving rise to collective effects that are not seen in systems at thermal equilibrium, such as phase separation with purely repulsive interactions. There is a great potential in…

Statistical Mechanics · Physics 2024-02-16 Luke K. Davis , Karel Proesmans , Étienne Fodor

We can, and should, do statistical inference on simulation models by adjusting the parameters in the simulation so that the values of {\em randomly chosen} functions of the simulation output match the values of those same functions…

Methodology · Statistics 2021-11-18 Cosma Rohilla Shalizi

With recent and rapid advancements in artificial intelligence (AI), understanding the foundation of purposeful behaviour in autonomous agents is crucial for developing safe and efficient systems. While artificial neural networks have…

Artificial Intelligence · Computer Science 2025-08-12 Aswin Paul , Moein Khajehnejad , Forough Habibollahi , Brett J. Kagan , Adeel Razi

It is known that statistical model selection as well as identification of dynamical equations from available data are both very challenging tasks. Physical systems behave according to their underlying dynamical equations which, in turn, can…

Mathematical Physics · Physics 2017-10-11 Sean Alan Ali , Carlo Cafaro

Increasingly demanding performance requirements for dynamical systems motivates the adoption of nonlinear and adaptive control techniques. One challenge is the nonlinearity of the resulting closed-loop system complicates verification that…

Systems and Control · Computer Science 2017-10-03 John F. Quindlen , Ufuk Topcu , Girish Chowdhary , Jonathan P. How

From flocks of birds to biomolecular assemblies, systems in which many individual components independently consume energy to perform mechanical work exhibit a wide array of striking behaviors. Methods to quantify the dynamics of these so…

Graph inference methods have recently attracted a great interest from the scientific community, due to the large value they bring in data interpretation and analysis. However, most of the available state-of-the-art methods focus on…

Machine Learning · Computer Science 2019-01-25 Hermina Petric Maretic , Mireille El Gheche , Pascal Frossard

Graph neural networks trained to predict observable dynamics can be used to decompose the temporal activity of complex heterogeneous systems into simple, interpretable representations. Here we apply this framework to simulated neural…

Neurons and Cognition · Quantitative Biology 2026-02-17 Cédric Allier , Larissa Heinrich , Magdalena Schneider , Stephan Saalfeld

In networked dynamical systems, inferring governing parameters is crucial for predicting nodal dynamics, such as gene expression levels, species abundance, or population density. While many parameter estimation techniques rely on…

Adaptation and Self-Organizing Systems · Physics 2025-03-25 Yanna Ding , Malik Magdon-Ismail , Jianxi Gao

This paper explores the observability and estimation capability of dynamical systems using predominantly relative measurements of the system's state-space variables, with minimal to no reliance on absolute measurements of these variables.…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Ioannis Raptis

Modern energy systems in vehicles and built infrastructure are governed by high-dimensional dynamics spanning multiple physical domains (e.g., electrical, thermal, mechanical) and timescales. This tutorial paper presents a graph-based…

Modeling functions that are sequentially observed as functional time series is becoming increasingly common. In such models, it is often crucial to ensure data homogeneity. We investigate the sensitivity of graph-based change point…

Methodology · Statistics 2025-03-25 Jeremy VanderDoes , Shojaeddin Chenouri

Active inference is a normative principle underwriting perception, action, planning, decision-making and learning in biological or artificial agents. From its inception, its associated process theory has grown to incorporate complex…

Neurons and Cognition · Quantitative Biology 2021-02-02 Lancelot Da Costa , Thomas Parr , Noor Sajid , Sebastijan Veselic , Victorita Neacsu , Karl Friston

Natural physical, chemical, and biological dynamical systems are often complex, with heterogeneous components interacting in diverse ways. We show how simple graph neural networks can be designed to jointly learn the interaction rules and…

In this paper we consider a class of interacting particle systems on dynamic random networks, in which the joint dynamics of vertices and edges acts as one-way feedback, i.e., edges appear and disappear over time depending on the state of…

Probability · Mathematics 2025-11-06 Simone Baldassarri , Jiesen Wang

One of the goals of causal inference is to generalize from past experiments and observational data to novel conditions. While it is in principle possible to eventually learn a mapping from a novel experimental condition to an outcome of…

Machine Learning · Statistics 2023-11-10 Gecia Bravo-Hermsdorff , David S. Watson , Jialin Yu , Jakob Zeitler , Ricardo Silva

Given an unknown dynamic system such as a coupled harmonic oscillator with $n$ springs and point masses. We are often interested in gaining insights into its physical parameters, i.e. stiffnesses and masses, by observing trajectories of…

Machine Learning · Computer Science 2021-03-22 Gregory Barber , Mulugeta A. Haile , Tzikang Chen