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We present GATSBI, a generative model that can transform a sequence of raw observations into a structured latent representation that fully captures the spatio-temporal context of the agent's actions. In vision-based decision-making…

Computer Vision and Pattern Recognition · Computer Science 2021-04-12 Cheol-Hui Min , Jinseok Bae , Junho Lee , Young Min Kim

Swarms of large numbers of agents appear in many biological and engineering fields. Dynamic bi-stability of co-existing spatio-temporal patterns has been observed in many models of large population swarms. However, many reduced models for…

Pattern Formation and Solitons · Physics 2015-06-17 Luis Mier-y-Teran-Romero , Ira B. Schwartz

This work introduces a self and mutually exciting point process that embeds flexible residuals and intensity with discretely Markovian dynamics. By allowing the integration of diverse residual distributions, this model serves as an…

Statistical Finance · Quantitative Finance 2025-04-02 Kyungsub Lee

Joint Species Distribution Models are essential for understanding how ecological drivers shape species communities. However, most existing approaches are limited by rigid parametric distributions for count data and the inability to model…

Methodology · Statistics 2025-12-05 Lukas Graz , Luisa Barbanti , Roland Brandl , Torsten Hothorn

Collective motion provides a spectacular example of self-organization in Nature. Visual information plays a crucial role among various types of information in determining interactions. Recently, experiments have revealed that organisms such…

Adaptation and Self-Organizing Systems · Physics 2024-07-26 Susumu Ito , Nariya Uchida

A Bayesian approach is developed to analyze change points in multivariate time series and space-time data. The methodology is used to assess the impact of extended inundation on the ecosystem of the Gulf Plains bioregion in northern…

Methodology · Statistics 2013-06-21 Chris Strickland , Robert Burdett , Robert Denham , Robert Kohn , Kerrie Mengersen

Models of coordinated behavior of populations living in the same environment are introduced for the cases when they either compete with each other, or they both gain by mutual interactions, or finally when one hunts the other one. The…

Dynamical Systems · Mathematics 2014-03-19 D. Melchionda , E. Pastacaldi , C. Perri , E. Venturino

The stacking problem is approached by computational mechanics, using an Ising next nearest neighbor model. Computational mechanics allows to treat the stacking arrangement as an information processing system in the light of a symbol…

Materials Science · Physics 2017-06-27 Edwin Rodriguez-Horta , Ernesto Estevez-Rams , Reinhard Neder , Raimundo Lora-Serrano

A new type of dependent thinning for point processes in continuous space is proposed, which leverages the advantages of determinantal point processes defined on finite spaces and, as such, is particularly amenable to statistical, numerical,…

Machine Learning · Computer Science 2019-06-19 Bartłomiej Błaszczyszyn , Paul Keeler

We suggest a novel approach to treating symbiotic relations between biological species or social entities. The main idea is the characterisation of symbiotic relations of coexisting species through their mutual influence on their respective…

Populations and Evolution · Quantitative Biology 2015-06-22 V. I. Yukalov , E. P. Yukalova , D. Sornette

Particle dynamics and multi-agent systems provide accurate dynamical models for studying and forecasting the behavior of complex interacting systems. They often take the form of a high-dimensional system of differential equations…

Machine Learning · Computer Science 2023-08-09 Yuxuan Liu , Scott G. McCalla , Hayden Schaeffer

Sampling from unnormalized densities using diffusion models has emerged as a powerful paradigm. However, while recent approaches that use least-squares `matching' objectives have improved scalability, they often necessitate significant…

Machine Learning · Computer Science 2026-03-03 Denis Blessing , Lorenz Richter , Julius Berner , Egor Malitskiy , Gerhard Neumann

In this paper we consider a Bayesian framework for making inferences about dynamical systems from ergodic observations. The proposed Bayesian procedure is based on the Gibbs posterior, a decision theoretic generalization of standard…

Statistics Theory · Mathematics 2019-01-28 Kevin McGoff , Sayan Mukherjee , Andrew Nobel

Gene-gene interactions play a crucial role in the manifestation of complex human diseases. Uncovering significant gene-gene interactions is a challenging task. Here, we present an innovative approach utilizing data-driven computational…

Artificial Intelligence · Computer Science 2024-10-22 Yifan Wu , Yuntao Yang , Zirui Liu , Zhao Li , Khushbu Pahwa , Rongbin Li , Wenjin Zheng , Xia Hu , Zhaozhuo Xu

We present studies for an individual based model of three interacting populations whose individuals are mobile in a 2D-lattice. We focus on the pattern formation in the spatial distributions of the populations. Also relevant is the…

Populations and Evolution · Quantitative Biology 2007-12-18 I. C. Charret , M. V. Carneiro

Failing to account for ecological processes such as dispersal and connectivity when modeling distributions can lead to biased inference about environmental drivers and reduced predictive performance. Spatial dynamic occupancy models are…

Populations and Evolution · Quantitative Biology 2026-05-07 Simon Lacombe , Sébastien Devillard , Cécile Kauffmann , Olivier Gimenez

Modern high-dimensional point process data, especially those from neuroscience experiments, often involve observations from multiple conditions and/or experiments. Networks of interactions corresponding to these conditions are expected to…

Methodology · Statistics 2021-09-27 Xu Wang , Ali Shojaie

Many natural, engineered, and social systems can be represented using the framework of a layered network, where each layer captures a different type of interaction between the same set of nodes. The study of such multiplex networks is a…

Physics and Society · Physics 2020-05-12 Haochen Wu , Ryan G. James , James P. Crutchfield , Raissa M. D'Souza

There is no much doubt that biotic interactions shape community assembly and ultimately the spatial co-variations between species. There is a hope that the signal of these biotic interactions can be observed and retrieved by investigating…

Machine Learning · Statistics 2025-07-15 Sara Si-Moussi , Esther Galbrun , Mickael Hedde , Giovanni Poggiato , Matthias Rohr , Wilfried Thuiller

We study the convergence properties of the Gibbs Sampler in the context of posterior distributions arising from Bayesian analysis of conditionally Gaussian hierarchical models. We develop a multigrid approach to derive analytic expressions…

Computation · Statistics 2019-06-27 Giacomo Zanella , Gareth Roberts
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