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We present a procedure to diagnose model misspecification in situations where inference is performed using approximate Bayesian computation. We demonstrate theoretically, and empirically that this procedure can consistently detect the…

Methodology · Statistics 2022-10-25 Andrés Ramírez-Hassan , David T. Frazier

Agent based modelling (ABM) is a computational approach to modelling complex systems by specifying the behaviour of autonomous decision-making components or agents in the system and allowing the system dynamics to emerge from their…

Artificial Intelligence · Computer Science 2023-05-22 Leo Ardon , Jared Vann , Deepeka Garg , Tom Spooner , Sumitra Ganesh

Over the course of the COVID-19 pandemic, Generalised Additive Models (GAMs) have been successfully employed on numerous occasions to obtain vital data-driven insights. In this paper we further substantiate the success story of GAMs,…

Accurate calibration of stochastic agent-based models (ABMs) in epidemiology is crucial to make them useful in public health policy decisions and interventions. Traditional calibration methods, e.g., Markov Chain Monte Carlo (MCMC), that…

Machine Learning · Statistics 2025-02-28 Connor Robertson , Cosmin Safta , Nicholson Collier , Jonathan Ozik , Jaideep Ray

Compartmental epidemiological models categorize individuals based on their disease status, such as the SEIRD model (Susceptible-Exposed-Infected-Recovered-Dead). These models determine the parameters that influence the magnitude of an…

Artificial Intelligence · Computer Science 2023-08-01 Alejandro Rodríguez-Arias , Amparo Alonso-Betanzos , Bertha Guijarro-Berdiñas , Noelia Sánchez-Marroño

Probabilistic programming has emerged as a powerful paradigm in statistics, applied science, and machine learning: by decoupling modelling from inference, it promises to allow modellers to directly reason about the processes generating…

Machine Learning · Statistics 2019-06-10 Maria I. Gorinova , Dave Moore , Matthew D. Hoffman

This work outlines the modeling steps for developing a tool aimed at supporting policymakers in guiding policies toward more sustainable wheat production. In the agricultural sector,policies affect a highly diverse set of farms, which…

General Economics · Economics 2025-10-03 Gianfranco Giuloni , Edmondo Di Giuseppe , Arianna Di Paola

We focus on improving the accuracy of an approximate model of a multiscale dynamical system that uses a set of parameter-dependent terms to account for the effects of unresolved or neglected dynamics on resolved scales. We start by…

Computational Physics · Physics 2019-06-26 Balasubramanya T. Nadiga , Chiyu Jiang , Daniel Livescu

We consider the problem of inference for the states and parameters of a continuous-time multitype branching process from partially observed time series data. Exact inference for this class of models, typically using sequential Monte Carlo,…

Methodology · Statistics 2025-12-01 Angus Lewis , Antonio Parrella , John Maclean , Andrew J. Black

Bayesian inference is a powerful tool for combining information in complex settings, a task of increasing importance in modern applications. However, Bayesian inference with a flawed model can produce unreliable conclusions. This review…

Methodology · Statistics 2023-05-22 David J. Nott , Christopher Drovandi , David T. Frazier

A vital stage in the mathematical modelling of real-world systems is to calibrate a model's parameters to observed data. Likelihood-free parameter inference methods, such as Approximate Bayesian Computation, build Monte Carlo samples of the…

Computation · Statistics 2021-12-23 Thomas P Prescott , Ruth E Baker

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

Methodology · Statistics 2025-03-14 Matteo D'Alessandro , Magne Thoresen

Interpretable models are designed to make decisions in a human-interpretable manner. Representatively, Concept Bottleneck Models (CBM) follow a two-step process of concept prediction and class prediction based on the predicted concepts. CBM…

Machine Learning · Computer Science 2023-06-05 Eunji Kim , Dahuin Jung , Sangha Park , Siwon Kim , Sungroh Yoon

We describe a variational approximation method for efficient inference in large-scale probabilistic models. Variational methods are deterministic procedures that provide approximations to marginal and conditional probabilities of interest.…

Artificial Intelligence · Computer Science 2011-05-30 T. S. Jaakkola , M. I. Jordan

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

Methodology · Statistics 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

As the strength of Large Language Models (LLMs) has grown over recent years, so too has interest in their use as the underlying models for autonomous agents. Although LLMs demonstrate emergent abilities and broad expertise across natural…

Artificial Intelligence · Computer Science 2024-12-06 Chris Sypherd , Vaishak Belle

Recent advances in computing power and the potential to make more realistic assumptions due to increased flexibility have led to the increased prevalence of simulation models in economics. While models of this class, and particularly…

General Economics · Economics 2019-06-12 Donovan Platt

We analyze the dynamics of agent--based models (ABMs) from a Markovian perspective and derive explicit statements about the possibility of linking a microscopic agent model to the dynamical processes of macroscopic observables that are…

Adaptation and Self-Organizing Systems · Physics 2012-07-11 Sven Banisch , Ricardo Lima , Tanya Araújo

Models defined by stochastic differential equations (SDEs) allow for the representation of random variability in dynamical systems. The relevance of this class of models is growing in many applied research areas and is already a standard…

Methodology · Statistics 2014-08-06 Umberto Picchini

Stochastic systems in biology often exhibit substantial variability within and between cells. This variability, as well as having dramatic functional consequences, provides information about the underlying details of the system's behaviour.…

Quantitative Methods · Quantitative Biology 2015-11-09 Iain G. Johnston