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Behaviour change lies at the heart of many observable collective phenomena such as the transmission and control of infectious diseases, adoption of public health policies, and migration of animals to new habitats. Representing the process…

Quantitative Methods · Quantitative Biology 2025-09-03 Roben Delos Reyes , Hugo Lyons Keenan , Cameron Zachreson

We propose a probabilistic framework for developing computational models of biological neural systems. In this framework, physiological recordings are viewed as discrete-time partial observations of an underlying continuous-time stochastic…

Neurons and Cognition · Quantitative Biology 2026-02-10 Ahmed ElGazzar , Marcel van Gerven

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

Machine Learning · Computer Science 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

We consider a new class of non Markovian processes with a countable number of interacting components. At each time unit, each component can take two values, indicating if it has a spike or not at this precise moment. The system evolves as…

Probability · Mathematics 2015-06-12 Antonio Galves , Eva Löcherbach

We consider the scenario where the parameters of a probabilistic model are expected to vary over time. We construct a novel prior distribution that promotes sparsity and adapts the strength of correlation between parameters at successive…

Machine Learning · Statistics 2015-11-10 Dani Yogatama , Bryan R. Routledge , Noah A. Smith

A stochastic epidemic model is defined in which each individual belongs to a household, a secondary grouping (typically school or workplace) and also the community as a whole. Moreover, infectious contacts take place in these three settings…

Applications · Statistics 2009-08-17 Tom Britton , Theodore Kypraios , Philip O'Neill

We describe a new method for evaluating Bayes factors. The key idea is to introduce a hypermodel in which the competing models are components of a mixture distribution. Inference for the mixing probabilities then yields estimates of the…

Methodology · Statistics 2016-02-16 Philip D. O'Neill , Theodore Kypraios

We are interested in modeling some two-level population dynamics, resulting from the interplay of ecological interactions and phenotypic variation of individuals (or hosts) and the evolution of cells (or parasites) of two types living in…

Probability · Mathematics 2011-01-21 Sylvie Méléard , Sylvie Roelly

We propose a novel adaptive empirical Bayesian method for sparse deep learning, where the sparsity is ensured via a class of self-adaptive spike-and-slab priors. The proposed method works by alternatively sampling from an adaptive…

Machine Learning · Statistics 2020-04-15 Wei Deng , Xiao Zhang , Faming Liang , Guang Lin

We propose a Machine Learning approach for optimal macroeconomic density forecasting in a high-dimensional setting where the underlying model exhibits a known group structure. Our approach is general enough to encompass specific forecasting…

Econometrics · Economics 2024-11-18 Matteo Mogliani , Anna Simoni

We propose a probabilistic modeling framework for learning the dynamic patterns in the collective behaviors of social agents and developing profiles for different behavioral groups, using data collected from multiple information sources.…

Machine Learning · Statistics 2016-06-28 Lin Li , Ananthram Swami , Anna Scaglione

In this paper we study the dynamics of stochastic microorganism flocculation models. Given the strong influence of environmental and seasonal fluctuations that are present in these models, we propose a stochastic model that includes…

Probability · Mathematics 2025-11-18 Alexandru Hening , Nguyen T. Hieu , Dang H. Nguyen , Nhu Nguyen

The intrinsic stochasticity of gene expression can give rise to large fluctuations and rare events that drive phenotypic variation in a population of genetically identical cells. Characterizing the fluctuations that give rise to such rare…

Statistical Mechanics · Physics 2017-05-24 Jordan M. Horowitz , Rahul V. Kulkarni

Studying the development of malignant tumours, it is important to know and predict the proportions of different cell types in tissue samples. Knowing the expected temporal evolution of the proportion of normal tissue cells, compared to…

Cell Behavior · Quantitative Biology 2015-11-24 Siavash Ghavami , Olaf Wolkenhauer , Farshad Lahouti , Mukhtar Ullah , Michael Linnebacher

Markov random fields area popular model for high-dimensional probability distributions. Over the years, many mathematical, statistical and algorithmic problems on them have been studied. Until recently, the only known algorithms for…

Machine Learning · Computer Science 2017-06-01 Linus Hamilton , Frederic Koehler , Ankur Moitra

In recent years, a large amount of multi-disciplinary research has been conducted on sparse models and their applications. In statistics and machine learning, the sparsity principle is used to perform model selection---that is,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-09 Julien Mairal , Francis Bach , Jean Ponce

We present a scalable approach to performing approximate fully Bayesian inference in generic state space models. The proposed method is an alternative to particle MCMC that provides fully Bayesian inference of both the dynamic latent states…

Machine Learning · Statistics 2019-02-13 Marcel Hirt , Petros Dellaportas

Multi-state models are frequently applied for representing processes evolving through a discrete set of state. Important classes of multi-state models arise when transitions between states may depend on the time since entry into the current…

Methodology · Statistics 2022-02-28 Rosario Barone , Andrea Tancredi

We consider the problem of learning a conditional Gaussian graphical model in the presence of latent variables. Building on recent advances in this field, we suggest a method that decomposes the parameters of a conditional Markov random…

Methodology · Statistics 2017-03-07 Benjamin Frot , Luke Jostins , Gil McVean

Probabilistic models help us encode latent structures that both model the data and are ideally also useful for specific downstream tasks. Among these, mixture models and their time-series counterparts, hidden Markov models, identify…

Machine Learning · Computer Science 2021-10-29 Abhishek Sharma , Catherine Zeng , Sanjana Narayanan , Sonali Parbhoo , Finale Doshi-Velez
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