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A growing number of generative statistical models do not permit the numerical evaluation of their likelihood functions. Approximate Bayesian computation (ABC) has become a popular approach to overcome this issue, in which one simulates…

Methodology · Statistics 2019-05-10 Espen Bernton , Pierre E. Jacob , Mathieu Gerber , Christian P. Robert

We present our Agent-Based Market Microstructure Simulation (ABMMS), an Agent-Based Financial Market (ABFM) that captures much of the complexity present in the US National Market System for equities (NMS). Agent-Based models are a natural…

Trading and Market Microstructure · Quantitative Finance 2023-11-28 Colin M. Van Oort , Ethan Ratliff-Crain , Brian F. Tivnan , Safwan Wshah

Amortized Bayesian inference (ABI) with neural networks has emerged as a powerful simulation-based approach for estimating complex mechanistic models. However, extending ABI to hierarchical models, a cornerstone of modern Bayesian analysis,…

Quantitative Methods · Quantitative Biology 2026-04-08 Jonas Arruda , Vikas Pandey , Catherine Sherry , Margarida Barroso , Xavier Intes , Jan Hasenauer , Stefan T. Radev

How can heuristic strategies emerge from smaller building blocks? We propose Approximate Bayesian Computation as a computational solution to this problem. As a first proof of concept, we demonstrate how a heuristic decision strategy such as…

Applications · Statistics 2016-05-17 Eric Schulz , Maarten Speekenbrink , Björn Meder

Approximate Bayesian computation (ABC) methods are used to approximate posterior distributions using simulation rather than likelihood calculations. We introduce Gaussian process (GP) accelerated ABC, which we show can significantly reduce…

Computation · Statistics 2014-02-25 Richard D Wilkinson

Most of the existing algorithms for approximate Bayesian computation (ABC) assume that it is feasible to simulate pseudo-data from the model at each iteration. However, the computational cost of these simulations can be prohibitive for high…

Agent-based epidemic models (ABMs) encode behavioral and policy heterogeneity but are too slow for nightly hospital planning. We develop county-ready surrogates that learn directly from exascale ABM trajectories using Universal Differential…

This paper presents a novel Darwinian Agent-Based Modeling (ABM) methodology formacroeconomic forecasting that leverages evolutionary principles to achieve remarkablecomputational efficiency and emergent realism. Unlike conventional DSGE…

General Economics · Economics 2025-07-24 Martin Jaraiz

There is an increasing amount of literature focused on Bayesian computational methods to address problems with intractable likelihood. One approach is a set of algorithms known as Approximate Bayesian Computational (ABC) methods. One of the…

Methodology · Statistics 2015-10-27 Weixuan Zhu , Juan Miguel Marin , Fabrizio Leisen

This paper presents a novel approach to level set estimation for any function/simulation with an arbitrary number of continuous inputs and arbitrary numbers of continuous responses. We present a method that uses existing data from computer…

Methodology · Statistics 2024-07-09 David Edwards , Julie Bessac , Franck Cappello , Scotland Leman

This invited feature article introduces and provides an extensive simulation study of a new Approximate Bayesian Computation (ABC) framework for estimating the posterior distribution and the maximum likelihood estimate (MLE) of the…

Methodology · Statistics 2024-09-12 George Karabatsos

Calibrating complex epidemiological models to observed data is a crucial step to provide both insights into the current disease dynamics, i.e.\ by estimating a reproductive number, as well as to provide reliable forecasts and scenario…

Adhesion between cells plays an important role in many biological processes such as tissue morphogenesis and homeostasis, wound healing and cancer cell metastasis. From a mathematical perspective, adhesion between multiple cell types has…

Cell Behavior · Quantitative Biology 2024-04-17 Shahzeb Raja Noureen , Richard L. Mort , Christian A. Yates

There are numerous scenarios in which populations of cells migrate in crowded environments. Typical examples include wound healing, cancer growth and embryo development. In these crowded environments cells are able to interact with each…

Cell Behavior · Quantitative Biology 2019-07-03 Christian A. Yates , George Chappelle

Memetic computation (MC) has emerged recently as a new paradigm of efficient algorithms for solving the hardest optimization problems. On the other hand, artificial bees colony (ABC) algorithms demonstrate good performances when solving…

Neural and Evolutionary Computing · Computer Science 2016-11-17 Iztok Fister , Iztok Fister , Janez Brest , Viljem Žumer

In the drug discovery process, where experiments can be costly and time-consuming, computational models that predict drug-target interactions are valuable tools to accelerate the development of new therapeutic agents. Estimating the…

Machine Learning · Computer Science 2024-07-22 Hannah Rosa Friesacher , Ola Engkvist , Lewis Mervin , Yves Moreau , Adam Arany

Many models of interest in the natural and social sciences have no closed-form likelihood function, which means that they cannot be treated using the usual techniques of statistical inference. In the case where such models can be…

Computation · Statistics 2012-07-19 Simon Barthelmé , Nicolas Chopin

Bayesian Neural Networks (BNNs) offer a principled and natural framework for proper uncertainty quantification in the context of deep learning. They address the typical challenges associated with conventional deep learning methods, such as…

Computation · Statistics 2024-11-13 Zahra Moslemi , Yang Meng , Shiwei Lan , Babak Shahbaba

Identifying parameters of computational models from experimental data, or model calibration, is fundamental for assessing and improving the predictability and reliability of computer simulations. In this work, we propose a method for…

Computational Physics · Physics 2023-08-07 Lianghao Cao , Keyi Wu , J. Tinsley Oden , Peng Chen , Omar Ghattas

Bayesian nonparametric mixture models offer a rich framework for model based clustering. We consider the situation where the kernel of the mixture is available only up to an intractable normalizing constant. In this case, most of the…

Computation · Statistics 2021-12-21 Mario Beraha , Riccardo Corradin