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Multivariate biosignals are prevalent in many medical domains, such as electroencephalography, polysomnography, and electrocardiography. Modeling spatiotemporal dependencies in multivariate biosignals is challenging due to (1) long-range…

Machine Learning · Computer Science 2023-05-02 Siyi Tang , Jared A. Dunnmon , Liangqiong Qu , Khaled K. Saab , Tina Baykaner , Christopher Lee-Messer , Daniel L. Rubin

Understanding how systems evolve over time often requires discovering the differential equations that govern their behavior. Automatically learning these equations from experimental data is challenging when the data are noisy or limited,…

Data Analysis, Statistics and Probability · Physics 2025-11-19 Oriol Cabanas-Tirapu , Sergio Cobo-Lopez , Savannah E. Sanchez , Forest L. Rohwer , Marta Sales-Pardo , Roger Guimerà

While noise is generally associated with uncertainties and often has a negative connotation in engineering, living organisms have evolved to adapt to (and even exploit) such uncertainty to ensure the survival of a species or implement…

Molecular Networks · Quantitative Biology 2022-09-29 Corentin Briat , Mustafa Khammash

Numerical models of electromyographic (EMG) signals have provided a huge contribution to our fundamental understanding of human neurophysiology and remain a central pillar of motor neuroscience and the development of human-machine…

Equation learning methods present a promising tool to aid scientists in the modeling process for biological data. Previous equation learning studies have demonstrated that these methods can infer models from rich datasets, however, the…

Mesh-based simulations are central to modeling complex physical systems in many disciplines across science and engineering. Mesh representations support powerful numerical integration methods and their resolution can be adapted to strike…

Machine Learning · Computer Science 2021-06-21 Tobias Pfaff , Meire Fortunato , Alvaro Sanchez-Gonzalez , Peter W. Battaglia

Data-driven learning of physical systems has kindled significant attention, where many neural models have been developed. In particular, mesh-based graph neural networks (GNNs) have demonstrated significant potential in modeling…

Machine Learning · Computer Science 2025-10-08 Yuan Mi , Qi Wang , Xueqin Hu , Yike Guo , Ji-Rong Wen , Yang Liu , Hao Sun

We develop an approach for Bayesian learning of spatiotemporal dynamical mechanistic models. Such learning consists of statistical emulation of the mechanistic system that can efficiently interpolate the output of the system from arbitrary…

Methodology · Statistics 2025-07-11 Sudipto Banerjee , Xiang Chen , Ian Frankenburg , Daniel Zhou

Industrial chain plays an increasingly important role in the sustainable development of national economy. However, as a typical complex network, data-driven deep learning is still in its infancy in describing and analyzing the resilience of…

Machine Learning · Computer Science 2025-08-26 Bicheng Wang , Junping Wang , Yibo Xue

Modeling stochastic dynamics from discrete observations is a key interdisciplinary challenge. Existing methods often fail to estimate the continuous evolution of probability densities from trajectories or face the curse of dimensionality.…

Computational Engineering, Finance, and Science · Computer Science 2025-12-02 Ruikun Li , Jiazhen Liu , Huandong Wang , Qingmin Liao , Yong Li

Learning stochastic models of dynamical systems from observed data is of interest in many scientific fields. Here, we propose a new method for this task within the family of dynamical variational autoencoders. The proposed double projection…

Machine Learning · Computer Science 2026-03-10 Viktor Sip , Martin Breyton , Spase Petkoski , Viktor Jirsa

We formulate a general, high-dimensional kinetic theory describing the internal state (such as gene expression or protein levels) of cells in a stochastically evolving population. The resolution of our kinetic theory also allows one to…

Populations and Evolution · Quantitative Biology 2026-05-12 Mingtao Xia , Tom Chou

A common practice to account for psychophysical biases in vision is to frame them as consequences of a dynamic process relying on optimal inference with respect to a generative model. The present study details the complete formulation of…

Neurons and Cognition · Quantitative Biology 2018-08-24 Jonathan Vacher , Andrew Isaac Meso , Laurent U. Perrinet , Gabriel Peyré

Recent advances in high-resolution experimental methods have highlighted the significance of cell signal pathway crosstalk and localised signalling activity in the development and disease of numerous biological systems. The investigation of…

Dynamical Systems · Mathematics 2022-09-19 Joshua W. Moore , Trevor C. Dale , Thomas E. Woolley

We present a deep neural network for a model-free prediction of a chaotic dynamical system from noisy observations. The proposed deep learning model aims to predict the conditional probability distribution of a state variable. The Long…

Machine Learning · Computer Science 2017-10-05 Kyongmin Yeo

Machine learning techniques including neural networks are popular tools for materials and chemical scientists with applications that may provide viable alternative methods in the analysis of structure and energetics of systems ranging from…

Statistical Mechanics · Physics 2022-03-02 James Andrews , Olga Gkountouna , Estela Blaisten-Barojas

The dynamics of cellular aggregates is driven by the interplay of mechanochemical processes and cellular activity. Although deterministic models may capture mechanical features, local chemical fluctuations trigger random cell responses,…

Soft Condensed Matter · Physics 2024-01-17 Ana Carpio , Elena Cebrian

Biological foundation models have shown strong performance in single-cell representation learning by applying transformer architectures directly to gene-expression matrices. However, these approaches predominantly operate in static settings…

Machine Learning · Computer Science 2026-05-28 Manuel Dileo , Andrea Sottoriva

Human-motion generation is a long-standing challenging task due to the requirement of accurately modeling complex and diverse dynamic patterns. Most existing methods adopt sequence models such as RNN to directly model transitions in the…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Zhenyi Wang , Ping Yu , Yang Zhao , Ruiyi Zhang , Yufan Zhou , Junsong Yuan , Changyou Chen

Active nematics is an emerging paradigm for characterising biological systems. One aspect of particularly intense focus is the role active nematic defects play in these systems, as they have been found to mediate a growing number of…

Soft Condensed Matter · Physics 2024-01-25 Andrew Killeen , Thibault Bertrand , Chiu Fan Lee