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Diagnosis and prediction in some domains, like medical and industrial diagnosis, require a representation that combines uncertainty management and temporal reasoning. Based on the fact that in many cases there are few state changes in the…

Artificial Intelligence · Computer Science 2013-01-30 Gustavo Arroyo-Figueroa , Luis Enrique Sucar

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

Econometrics · Economics 2026-01-13 Jiawei Fu , Donald P. Green

We introduce a dynamical spatio-temporal model formalized as a recurrent neural network for forecasting time series of spatial processes, i.e. series of observations sharing temporal and spatial dependencies. The model learns these…

Machine Learning · Computer Science 2018-04-24 Ali Ziat , Edouard Delasalles , Ludovic Denoyer , Patrick Gallinari

Response times collected in computerised assessments provide information about the underlying response process and may exhibit within-person variation over the course of a test. We propose a latent variable model for log response times that…

Methodology · Statistics 2026-05-29 Gabriel Wallin , Nivedita Bhaktha

With the increasing impact of algorithmic decision-making on human lives, the interpretability of models has become a critical issue in machine learning. Counterfactual explanation is an important method in the field of interpretable…

Machine Learning · Computer Science 2024-07-17 Ao Xu , Tieru Wu

In biology phenotypic switching is a common bet-hedging strategy in the face of uncertain environmental conditions. Existing mathematical models often focus on periodically changing environments to determine the optimal phenotypic response.…

Populations and Evolution · Quantitative Biology 2018-03-14 Peter G. Hufton , Yen Ting Lin , Tobias Galla

There are nowadays a huge load of publications about dengue epidemic models, which mostly employ deterministic differential equations. The analytical properties of deterministic models are always of particular interest by many experts, but…

Dynamical Systems · Mathematics 2017-11-15 Karunia Putra Wijaya , Thomas Goetz

Real-world decision-making systems operate in environments where state transitions depend not only on the agent's actions, but also on \textbf{exogenous factors outside its control}--competing agents, environmental disturbances, or…

Machine Learning · Computer Science 2026-04-20 Sourav Ganguly , Kartik Pandit , Arnob Ghosh

In realistic scenarios, multivariate timeseries evolve over case-by-case time-scales. This is particularly clear in medicine, where the rate of clinical events varies by ward, patient, and application. Increasingly complex models have been…

Machine Learning · Computer Science 2020-03-06 Jacob Deasy , Ari Ercole , Pietro Liò

We consider a multidimensional time-homogeneous dynamical system and add a randomly perturbed time-dependent deterministic signal to some of its components, giving rise to a high-dimensional system of stochastic differential equations,…

Probability · Mathematics 2019-08-02 Simon Holbach

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

The theory of life history evolution provides a powerful framework to understand the evolutionary dynamics of pathogens in both epidemic and endemic situations. This framework, however, relies on the assumption that pathogen populations are…

Populations and Evolution · Quantitative Biology 2017-11-28 Todd Parsons , Amaury Lambert , Troy Day , Sylvain Gandon

Predicting travel times of vehicles in urban settings is a useful and tangible quantity of interest in the context of intelligent transportation systems. We address the problem of travel time prediction in arterial roads using data sampled…

Artificial Intelligence · Computer Science 2017-11-17 Avinash Achar , Venkatesh Sarangan , R Rohith , Anand Sivasubramaniam

We propose an approach for learning the causal structure in stochastic dynamical systems with a $1$-step functional dependency in the presence of latent variables. We propose an information-theoretic approach that allows us to recover the…

Information Theory · Computer Science 2017-01-25 Saber Salehkaleybar , Jalal Etesami , Negar Kiyavash

A central puzzle for the behavioural sciences and for human-facing artificial intelligence is the persistence of within-person variability. The same individual, presented with the same observable input, produces different outcomes on…

Artificial Intelligence · Computer Science 2026-05-29 Suraj Biswas , Saurav Gupta , Pritam Mukherjee

Temporal commonsense reasoning refers to the ability to understand the typical temporal context of phrases, actions, and events, and use it to reason over problems requiring such knowledge. This trait is essential in temporal natural…

Artificial Intelligence · Computer Science 2023-11-17 Georg Wenzel , Adam Jatowt

The current work is motivated by the need for robust statistical methods for precision medicine; as such, we address the need for statistical methods that provide actionable inference for a single unit at any point in time. We aim to learn…

Statistics Theory · Mathematics 2021-07-02 Ivana Malenica , Aurelien Bibaut , Mark J. van der Laan

We analyze a nonlocal PDE model describing the dynamics of adaptation of a phenotypically structured population, under the effects of mutation and selection, in a changing environment. Previous studies have analyzed the large-time behavior…

Analysis of PDEs · Mathematics 2020-09-25 Lionel Roques , Florian Patout , Olivier Bonnefon , Guillaume Martin

Forecasting disease spread is a critical tool to help public health officials design and plan public health interventions. However, the expected future state of an epidemic is not necessarily well defined as disease spread is inherently…

Populations and Evolution · Quantitative Biology 2026-05-05 Mariah C. Boudreau , Andrea J. Allen , Nicholas J. Roberts , Antoine Allard , Laurent Hébert-Dufresne

Statistical models used to estimate the spatio-temporal pattern in disease risk from areal unit data represent the risk surface for each time period with known covariates and a set of spatially smooth random effects. The latter act as a…

Applications · Statistics 2016-04-19 Alastair Rushworth , Duncan Lee , Christophe Sarran