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Approximate Bayesian Computation (ABC) methods are increasingly used for inference in situations in which the likelihood function is either computationally costly or intractable to evaluate. Extensions of the basic ABC rejection algorithm…

Computation · Statistics 2020-05-01 Umberto Simola , Jessica Cisewski-Kehe , Michael U. Gutmann , Jukka Corander

We consider Bayesian algorithm execution (BAX), a framework for efficiently selecting evaluation points of an expensive function to infer a property of interest encoded as the output of a base algorithm. Since the base algorithm typically…

Machine Learning · Computer Science 2024-10-29 Chu Xin Cheng , Raul Astudillo , Thomas Desautels , Yisong Yue

Learning from demonstration (LfD) is an intuitive framework allowing non-expert users to easily (re-)program robots. However, the quality and quantity of demonstrations have a great influence on the generalization performances of LfD…

Robotics · Computer Science 2020-08-07 Hakan Girgin , Emmanuel Pignat , Noémie Jaquier , Sylvain Calinon

Continual learning is an online paradigm where a learner continually accumulates knowledge from different tasks encountered over sequential time steps. Importantly, the learner is required to extend and update its knowledge without…

Machine Learning · Statistics 2025-10-16 Tameem Adel

The Bayesian Mallows model is a flexible tool for analyzing data in the form of complete or partial rankings, and transitive or intransitive pairwise preferences. In many potential applications of preference learning, data arrive…

Computation · Statistics 2025-11-26 Øystein Sørensen , Anja Stein , Waldir Leoncio Netto , David S. Leslie

Spurious correlations in real-world datasets cause machine learning models to rely on irrelevant patterns, undermining reliability, generalization, and fairness. Active learning offers a promising way to address this failure mode by…

Machine Learning · Computer Science 2026-05-21 Kin Whye Chew , Jingxian Wang

Approximate Bayesian inference for the class of latent Gaussian models can be achieved efficiently with integrated nested Laplace approximations (INLA). Based on recent reformulations in the INLA methodology, we propose a further extension…

Methodology · Statistics 2025-02-27 Shourya Dutta , Janet van Niekerk , Haavard Rue

A new approach to inference in state space models is proposed, based on approximate Bayesian computation (ABC). ABC avoids evaluation of the likelihood function by matching observed summary statistics with statistics computed from data…

Statistics Theory · Mathematics 2014-10-01 Gael M. Martin , Brendan P. M. McCabe , Worapree Maneesoonthorn , Christian P. Robert

Artificial neural networks have successfully tackled a large variety of problems by training extremely deep networks via back-propagation. A direct application of back-propagation to spiking neural networks contains biologically implausible…

Neural and Evolutionary Computing · Computer Science 2021-11-29 Kyle Daruwalla , Mikko Lipasti

Identifying the parameters of a model and rating competitive models based on measured data has been among the most important but challenging topics in modern science and engineering, with great potential of application in structural system…

Computation · Statistics 2017-08-02 F. A. DiazDelaO , A. Garbuno-Inigo , S. K. Au , I. Yoshida

Reinforcement learning provides a framework for learning to control which actions to take towards completing a task through trial-and-error. In many applications observing interactions is costly, necessitating sample-efficient learning. In…

Machine Learning · Statistics 2020-11-04 Charles Gadd , Markus Heinonen , Harri Lähdesmäki , Samuel Kaski

Approximate Bayesian computation (ABC) is a simulation-based likelihood-free method applicable to both model selection and parameter estimation. ABC parameter estimation requires the ability to forward simulate datasets from a candidate…

Methodology · Statistics 2020-11-10 Louis Raynal , Sixing Chen , Antonietta Mira , Jukka-Pekka Onnela

Bayesian methods are critical for quantifying the behaviors of systems. They capture our uncertainty about a system's behavior using probability distributions and update this understanding as new information becomes available. Probabilistic…

Computation · Statistics 2018-04-25 Thomas A. Catanach , James L. Beck

An efficient algorithm is proposed for Bayesian model calibration, which is commonly used to estimate the model parameters of non-linear, computationally expensive models using measurement data. The approach is based on Bayesian statistics:…

Numerical Analysis · Mathematics 2019-11-06 L. M. M. van den Bos , B. Sanderse , W. A. A. M. Bierbooms , G. J. W. van Bussel

Simulation models of epidemiological, biological, ecological, and environmental processes are increasingly being calibrated using Bayesian statistics. The Bayesian approach provides simple rules to synthesise multiple data sources and to…

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

Methodology · Statistics 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

Approximate Bayesian inference typically revolves around computing the posterior parameter distribution. In practice, however, the main object of interest is often a model's predictions rather than its parameters. In this work, we propose…

Machine Learning · Statistics 2026-05-29 Julian Rodemann , Alexander Marquard , Thomas Augustin , Michele Caprio

Robust Bayesian analysis has been mainly devoted to detecting and measuring robustness w.r.t. the prior distribution. Many contributions in the literature aim to define suitable classes of priors which allow the computation of variations of…

Statistics Theory · Mathematics 2025-09-04 Antonio Di Noia , Fabrizio Ruggeri , Antonietta Mira

Approximate Bayesian computation (ABC) is a method for Bayesian inference when the likelihood is unavailable but simulating from the model is possible. However, many ABC algorithms require a large number of simulations, which can be costly.…

Machine Learning · Statistics 2018-10-15 Marko Järvenpää , Michael U. Gutmann , Arijus Pleska , Aki Vehtari , Pekka Marttinen

Bayesian inference with empirical likelihood faces a challenge as the posterior domain is a proper subset of the original parameter space due to the convex hull constraint. We propose a regularized exponentially tilted empirical likelihood…

Methodology · Statistics 2026-04-23 Eunseop Kim , Steven N. MacEachern , Mario Peruggia
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