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Hypoelliptic diffusion processes can be used to model a variety of phenomena in applications ranging from molecular dynamics to audio signal analysis. We study parameter estimation for such processes in situations where we observe some…

Methodology · Statistics 2007-10-30 Y. Pokern , A. M. Stuart , P. Wiberg

Statistical inference is the science of drawing conclusions about some system from data. In modern signal processing and machine learning, inference is done in very high dimension: very many unknown characteristics about the system have to…

Disordered Systems and Neural Networks · Physics 2020-10-29 Jean Barbier

Surveys of microbial biodiversity such as the Earth Microbiome Project (EMP) and the Human Microbiome Project (HMP) have revealed robust ecological patterns across different environments. A major goal in ecology is to leverage these…

Populations and Evolution · Quantitative Biology 2020-03-05 Robert Marsland , Wenping Cui , Pankaj Mehta

The behavior of ecological systems mainly relies on the interactions between the species it involves. We consider the problem of inferring the species interaction network from abundance data. To be relevant, any network inference…

Applications · Statistics 2019-10-29 Raphaëlle Momal , Stéphane Robin , Christophe Ambroise

Microbes are everywhere, including in and on our bodies, and have been shown to play key roles in a variety of prevalent human diseases. Consequently, there has been intense interest in the design of bacteriotherapies or "bugs as drugs,"…

Machine Learning · Statistics 2020-04-13 Travis E. Gibson , Georg K. Gerber

Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial…

Chemical Physics · Physics 2012-12-20 Maria Bruna , S. Jonathan Chapman

In this work we investigate the behaviour of a human crowd in a cross-flow. We first analyse the results of a set of controlled experiments in which subjects were divided into two groups, in such a way to explore different density settings,…

Physics and Society · Physics 2022-03-30 Francesco Zanlungo , Claudio Feliciani , Zeynep Yücel , Katsuhiro Nishinari , Takayuki Kanda

The human microbiome is a complex ecological system, and describing its structure and function under different environmental conditions is important from both basic scientific and medical perspectives. Viewed through a biostatistical lens,…

Applications · Statistics 2017-11-17 Kris Sankaran , Susan P. Holmes

Multivariate phase relationships are important to characterize and understand numerous physical, biological, and chemical systems, from electromagnetic waves to neural oscillations. These systems exhibit complex spatiotemporal dynamics and…

Methodology · Statistics 2025-06-02 Andrew S. Perley , Todd P. Coleman

Accurate estimates of microbial species abundances are needed to advance our understanding of the role that microbiomes play in human and environmental health. However, artificially constructed microbiomes demonstrate that intuitive…

Methodology · Statistics 2025-03-17 David S Clausen , Amy D Willis

Microorganisms are found in almost every environment, including the soil, water, air, and inside other organisms, like animals and plants. While some microorganisms cause diseases, most of them help in biological processes such as…

Machine Learning · Computer Science 2023-09-28 Daniel Agyapong , Jeffrey Ryan Propster , Jane Marks , Toby Dylan Hocking

This chapter aims to inform a practitioner about current methods for predicting potential distributions of invasive species. It mostly addresses single species models, covering the conceptual bases, touching on mechanistic models, and then…

Populations and Evolution · Quantitative Biology 2015-07-31 Jane Elith

In environmental sciences, it is often of interest to assess whether the dependence between extreme measurements has changed during the observation period. The aim of this work is to propose a statistical test that is particularly sensitive…

Methodology · Statistics 2015-05-06 Axel Bücher , Paul Kinsvater , Ivan Kojadinovic

The competition for resources is a defining feature of microbial communities. In many contexts, from soils to host-associated communities, highly diverse microbes are organized into metabolic groups or guilds with similar resource…

Physics and Society · Physics 2025-05-05 Xiaowen Chen , Kyle Crocker , Seppe Kuehn , Aleksandra M. Walczak , Thierry Mora

We consider the problem of inferring the interactions between a set of N binary variables from the knowledge of their frequencies and pairwise correlations. The inference framework is based on the Hopfield model, a special case of the Ising…

Statistical Mechanics · Physics 2015-05-27 Simona Cocco , Remi Monasson , Vitor Sessak

Droplets form a cornerstone of the spatiotemporal organization of biomolecules in cells. These droplets are controlled using physical processes like chemical reactions and imposed gradients, which are costly to simulate using traditional…

Soft Condensed Matter · Physics 2022-06-23 Ajinkya Kulkarni , Estefania Vidal-Henriquez , David Zwicker

Originally motivated by the morphogenesis of bacterial microcolonies, the aim of this article is to explore models through different scales for a spatial population of interacting, growing and dividing particles. We start from a microscopic…

Analysis of PDEs · Mathematics 2025-01-07 Marie Doumic , Sophie Hecht , Marc Hoffmann , Diane Peurichard

This paper revisits building machine learning algorithms that involve interactions between entities, such as those between financial assets in an actively managed portfolio, or interactions between users in a social network. Our goal is to…

Machine Learning · Computer Science 2022-12-05 Qiong Wu , Jian Li , Zhenming Liu , Yanhua Li , Mihai Cucuringu

This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry

The transition from a microscopic model for the movement of many particles to a macroscopic continuum model for a density flow is studied. The microscopic model for the free flow is completely deterministic, described by an interaction…

Statistical Mechanics · Physics 2021-01-12 Jennifer Weissen , Simone Göttlich , Dieter Armbruster