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We show that a simple mechanistic model of spatial dispersal for settling organisms, subject to parameter variability, can generate heavy-tailed radial probability density functions. The movement of organisms in the model consists of a…

Populations and Evolution · Quantitative Biology 2025-09-23 Luis F. Gordillo , Priscilla E. Greenwood

To accomplish tasks in human-centric indoor environments, robots need to represent and understand the world in terms of objects and their attributes. We refer to this attribute-based representation as a world model, and consider how to…

Artificial Intelligence · Computer Science 2015-12-03 Lawson L. S. Wong , Thanard Kurutach , Leslie Pack Kaelbling , Tomás Lozano-Pérez

An open problem in autonomous driving research is modeling human driving behavior, which is needed for the planning component of the autonomy stack, safety validation through traffic simulation, and causal inference for generating…

Systems and Control · Electrical Eng. & Systems 2026-01-15 Raunak P. Bhattacharyya , Kyle Brown , Juanran Wang , Katherine Driggs-Campbell , Mykel J. Kochenderfer

Designing systems for autonomous transport of groups of living agents has received a lot of attention in recent years due to a wealth of important potential applications. Biomimetic approaches are often sought, and a range of herding…

Other Quantitative Biology · Quantitative Biology 2026-02-20 Daniel Strömbom , Julianna Hoitt , Cameron Cloud

This paper proposes a novel dynamic Hierarchical Dirichlet Process topic model that considers the dependence between successive observations. Conventional posterior inference algorithms for this kind of models require processing of the…

Machine Learning · Statistics 2016-06-29 Olga Isupova , Danil Kuzin , Lyudmila Mihaylova

The natural subgroups often seen in mark-recapture studies and the complexity of real mark-recapture data means that parametric and discrete style models can be insufficient. Non-parametric models avoid these often restrictive assumptions.…

Applications · Statistics 2015-11-24 Jessica H Ford , Toby A Patterson , Mark V Bravington

Quantitative models of associative learning that explain the behavior of real animals with high precision have turned out very difficult to construct. We do this in the context of the dynamics of the thermal preference of C. elegans. For…

Biological Physics · Physics 2022-06-02 Ahmed Roman , Konstantine Palanski , Ilya Nemenman , William S Ryu

We introduce a nonparametric model for inferring time-evolving, unobserved probability distributions from discrete-time data consisting of unlabelled partitions. The latent process is a two-parameter Poisson-Dirichlet diffusion, and…

Methodology · Statistics 2026-05-19 Marco Dalla Pria , Matteo Ruggiero , Dario Spanò

Single-particle traces of the diffusive motion of molecules, cells, or animals are by-now routinely measured, similar to stochastic records of stock prices or weather data. Deciphering the stochastic mechanism behind the recorded dynamics…

Statistical Mechanics · Physics 2023-09-14 Henrik Seckler , Janusz Szwabinski , Ralf Metzler

The majority of real-world networks are dynamic and extremely large (e.g., Internet Traffic, Twitter, Facebook, ...). To understand the structural behavior of nodes in these large dynamic networks, it may be necessary to model the dynamics…

Social and Information Networks · Computer Science 2015-03-20 Ryan Rossi , Brian Gallagher , Jennifer Neville , Keith Henderson

In order to keep their cohesiveness during locomotion gregarious animals must make collective decisions. Many species boast complex societies with multiple levels of communities. A common case is when two dominant levels exist, one…

Biological Physics · Physics 2017-04-03 Bence Ferdinandy , Katalin Ozogány , Tamás Vicsek

B-spline-based hidden Markov models employ B-splines to specify the emission distributions, offering a more flexible modelling approach to data than conventional parametric HMMs. We introduce a Bayesian framework for inference, enabling the…

Methodology · Statistics 2023-10-03 Sida Chen , Bärbel Finkenstädt Rand

Hidden variables are ubiquitous in practical data analysis, and therefore modeling marginal densities and doing inference with the resulting models is an important problem in statistics, machine learning, and causal inference. Recently, a…

Machine Learning · Computer Science 2013-09-27 Ilya Shpitser , Robin J. Evans , Thomas S. Richardson , James M. Robins

This paper will introduce a theory of emergent animal social complexity using various results from computational models and empirical results. These results will be organized into a vertical model of social complexity. This will support the…

Populations and Evolution · Quantitative Biology 2013-10-18 Bradly Alicea

The impact of randomness on model training is poorly understood. How do differences in data order and initialization actually manifest in the model, such that some training runs outperform others or converge faster? Furthermore, how can we…

Machine Learning · Computer Science 2024-01-23 Michael Y. Hu , Angelica Chen , Naomi Saphra , Kyunghyun Cho

This paper considers the problem of detecting and tracking multiple maneuvering targets, which suffers from the intractable inference of high-dimensional latent variables that include target kinematic state, target visibility state, motion…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Hua Lan , Jirong Ma , Zengfu Wang , Quan Pan , Xiong Xu

Systems driven by Brownian motion are ubiquitous. A prevailing challenge is inferring, from data, the diffusion and kinetic parameters that describe these stochastic processes. In this work, we investigate a multi-state diffusion process…

Quantitative Methods · Quantitative Biology 2022-06-20 Lewis R. Baker , Moshe T. Gordon , Brian P. Ziemba , Victoria Gershuny , Joseph J. Falke , David M. Bortz

Hierarchical learning has been successful at learning generalizable locomotion skills on walking robots in a sample-efficient manner. However, the low-dimensional "latent" action used to communicate between two layers of the hierarchy is…

Robotics · Computer Science 2021-03-19 Tianyu Li , Roberto Calandra , Deepak Pathak , Yuandong Tian , Franziska Meier , Akshara Rai

Animals flexibly recombine a finite set of core motor motifs to meet diverse task demands, but existing behavior segmentation methods oversimplify this process by imposing discrete syllables under restrictive generative assumptions. To…

Machine Learning · Computer Science 2026-02-27 Jiyi Wang , Jingyang Ke , Bo Dai , Anqi Wu

The Nested Dirichlet Distribution (NDD) provides a flexible alternative to the Dirichlet distribution for modeling compositional data, relaxing constraints on component variances and correlations through a hierarchical tree structure. While…

Methodology · Statistics 2026-01-16 Jacob A. Turner , Monnie McGee , Bianca A. Luedeker
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