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Starting with sets of disorganized observations of spatially varying and temporally evolving systems, obtained at different (also disorganized) sets of parameters, we demonstrate the data-driven derivation of parameter dependent,…

Dynamical Systems · Mathematics 2022-04-27 David W. Sroczynski , Felix P. Kemeth , Ronald R. Coifman , Ioannis G. Kevrekidis

Animal movement exhibits complex behavior which can be influenced by unobserved environmental conditions. We propose a model which allows for a spatially-varying movement rate and spatially-varying drift through a semiparametric potential…

Applications · Statistics 2017-02-28 James C. Russell , Ephraim M. Hanks , Murali Haran , David P. Hughes

Recent advances in human mobility research have revealed consistent pairwise characteristics in movement behavior, yet existing mobility models often overlook the spatial and topological structure of mobility networks. By analyzing millions…

Physics and Society · Physics 2025-05-22 Lu Zhong , Lei Dong , Qi Wang , Chaoming Song , Jianxi Gao

The data-driven models allow one to define the model structure in cases when a priori information is not sufficient to build other types of models. The possible way to obtain physical interpretation is the data-driven differential equation…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Michail Maslyaev , Alexander Hvatov , Anna Kalyuzhnaya

Robots need models of human behavior for both inferring human goals and preferences, and predicting what people will do. A common model is the Boltzmann noisily-rational decision model, which assumes people approximately optimize a reward…

Robotics · Computer Science 2020-01-14 Andreea Bobu , Dexter R. R. Scobee , Jaime F. Fisac , S. Shankar Sastry , Anca D. Dragan

In dynamic epistemic logic, actions are described using action models. In this paper we introduce a framework for studying learnability of action models from observations. We present first results concerning propositional action models.…

Machine Learning · Computer Science 2015-07-16 Thomas Bolander , Nina Gierasimczuk

Data-driven modeling of dynamical systems is a crucial area of machine learning. In many scenarios, a thorough understanding of the model's behavior becomes essential for practical applications. For instance, understanding the behavior of a…

Machine Learning · Computer Science 2025-04-14 Krzysztof Kacprzyk , Mihaela van der Schaar

This paper gives an introduction to \textit{Cognidynamics}, that is to the dynamics of cognitive systems driven by optimal objectives imposed over time when they interact either with a defined virtual or with a real-world environment. The…

Neurons and Cognition · Quantitative Biology 2024-08-26 Marco Gori

Not yet. We present SPACE, a benchmark that systematically evaluates spatial cognition in frontier models. Our benchmark builds on decades of research in cognitive science. It evaluates large-scale mapping abilities that are brought to bear…

Artificial Intelligence · Computer Science 2025-04-21 Santhosh Kumar Ramakrishnan , Erik Wijmans , Philipp Kraehenbuehl , Vladlen Koltun

In crowd scenarios, predicting trajectories of pedestrians is a complex and challenging task depending on many external factors. The topology of the scene and the interactions between the pedestrians are just some of them. Due to…

Machine Learning · Computer Science 2022-09-12 Raphael Korbmacher , Antoine Tordeux

We present exact algorithms for identifying deterministic-actions effects and preconditions in dynamic partially observable domains. They apply when one does not know the action model(the way actions affect the world) of a domain and must…

Artificial Intelligence · Computer Science 2014-01-16 Eyal Amir , Allen Chang

Mobile robots, such as ground vehicles and quadrotors, are becoming increasingly important in various fields, from logistics to agriculture, where they automate processes in environments that are difficult to access for humans. However, to…

Robotics · Computer Science 2025-10-08 Shao-Yi Yu , Jen-Wei Wang , Maya Horii , Vikas Garg , Tarek Zohdi

While fields like Artificial Life have made huge strides in quantifying the mechanisms that distinguish living systems from non-living ones, particular mechanisms remain difficult to reproduce in silico. Known as open-endedness, we've been…

Biological Physics · Physics 2024-07-18 Alyssa M Adams , Eliott Jacopin , Praful Gagrani , Olaf Witkowski

The machine learning methods for data-driven identification of partial differential equations (PDEs) are typically defined for a given number of spatial dimensions and a choice of coordinates the data have been collected in. This dependence…

Machine Learning · Computer Science 2025-10-07 Trung V. Phan , George A. Kevrekidis , Soledad Villar , Yannis G. Kevrekidis , Juan M. Bello-Rivas

Natural evolution gives the impression of leading to an open-ended process of increasing diversity and complexity. If our goal is to produce such open-endedness artificially, this suggests an approach driven by evolutionary metaphor. On the…

Adaptation and Self-Organizing Systems · Physics 2018-12-13 Nicholas Guttenberg , Nathaniel Virgo , Alexandra Penn

Understanding pedestrian behavior is crucial for the safe deployment of Autonomous Vehicles (AVs) in urban environments. Traditional pedestrian behavior models often fall into two categories: mechanistic models, which do not generalize well…

Human-Computer Interaction · Computer Science 2024-09-24 Yueyang Wang , Aravinda Ramakrishnan Srinivasan , Yee Mun Lee , Gustav Markkula

We consider the problem of selecting deterministic or stochastic models for a biological, ecological, or environmental dynamical process. In most cases, one prefers either deterministic or stochastic models as candidate models based on…

Applications · Statistics 2015-10-26 Libo Sun , Chihoon Lee , Jennifer A. Hoeting

Random walks and related spatial stochastic models have been used in a range of application areas including animal and plant ecology, infectious disease epidemiology, developmental biology, wound healing, and oncology. Classical random walk…

Populations and Evolution · Quantitative Biology 2025-08-22 Michael J. Plank , Matthew J. Simpson , Ruth E. Baker

Dynamic task allocation is an essential requirement for multi-robot systems operating in unknown dynamic environments. It allows robots to change their behavior in response to environmental changes or actions of other robots in order to…

Robotics · Computer Science 2007-05-23 Kristina Lerman , Chris Jones , Aram Galstyan , Maja J Mataric

We propose a method for learning dynamical systems from high-dimensional empirical data that combines variational autoencoders and (spatio-)temporal attention within a framework designed to enforce certain scientifically-motivated…

Machine Learning · Computer Science 2023-06-22 Kai Lagemann , Christian Lagemann , Sach Mukherjee
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