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Sequential Monte Carlo (SMC) algorithms represent a suite of robust computational methodologies utilized for state estimation and parameter inference within dynamical systems, particularly in real-time or online environments where data…

Bayesian Optimization is a useful tool for experiment design. Unfortunately, the classical, sequential setting of Bayesian Optimization does not translate well into laboratory experiments, for instance battery design, where measurements may…

Machine Learning · Computer Science 2023-02-24 Jose Pablo Folch , Robert M Lee , Behrang Shafei , David Walz , Calvin Tsay , Mark van der Wilk , Ruth Misener

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

Almost all fields of science rely upon statistical inference to estimate unknown parameters in theoretical and computational models. While the performance of modern computer hardware continues to grow, the computational requirements for the…

Computation · Statistics 2022-10-25 David J. Warne , Ruth E. Baker , Matthew J. Simpson

We develop adaptive replicated designs for Gaussian process metamodels of stochastic experiments. Adaptive batching is a natural extension of sequential design heuristics with the benefit of replication growing as response features are…

Machine Learning · Statistics 2021-07-14 Xiong Lyu , Mike Ludkovski

This article deals with the sequential design of experiments for (deterministic or stochastic) multi-fidelity numerical simulators, that is, simulators that offer control over the accuracy of simulation of the physical phenomenon or system…

To increase statistical efficiency in a randomized experiment, researchers often use stratification (i.e., blocking) in the design stage. However, conventional practices of stratification fail to exploit valuable information about the…

Methodology · Statistics 2025-10-28 Zikai Li

Ordinary differential equation models are nowadays widely used for the mechanistic description of biological processes and their temporal evolution. These models typically have many unknown and non-measurable parameters, which have to be…

Quantitative Methods · Quantitative Biology 2021-05-27 Alejandro F. Villaverde , Dilan Pathirana , Fabian Fröhlich , Jan Hasenauer , Julio R. Banga

Accurate uncertainty estimates can significantly improve the performance of iterative design of experiments, as in Sequential and Reinforcement learning. For many such problems in engineering and the physical sciences, the design task…

Machine Learning · Statistics 2022-05-20 Brendan Folie , Maxwell Hutchinson

We propose a general methodology of sequential locally optimal design of experiments for explicit or implicit nonlinear models, as they abound in chemical engineering and, in particular, in vapor-liquid equilibrium modeling. As a sequential…

Optimization and Control · Mathematics 2024-03-15 Martin Bubel , Jochen Schmid , Volodymyr Kozachynskyi , Erik Esche , Michael Bortz

The design of biological systems is hindered by uncertainty arising from both intrinsic stochasticity of biomolecular reactions and variability across laboratory or experimental conditions. In this work, we present a sequential framework to…

Machine Learning · Computer Science 2026-05-08 Michal Kobiela , Diego A. Oyarzún , Michael U. Gutmann

Recent advances in probabilistic modelling have led to a large number of simulation-based inference algorithms which do not require numerical evaluation of likelihoods. However, a public benchmark with appropriate performance metrics for…

Machine Learning · Statistics 2021-04-12 Jan-Matthis Lueckmann , Jan Boelts , David S. Greenberg , Pedro J. Gonçalves , Jakob H. Macke

A computer code can simulate a system's propagation of variation from random inputs to output measures of quality. Our aim here is to estimate a critical output tail probability or quantile without a large Monte Carlo experiment. Instead,…

Machine Learning · Statistics 2019-08-16 Hao Chen , William J. Welch

Uncertainty in optimization is often represented as stochastic parameters in the optimization model. In Predict-Then-Optimize approaches, predictions of a machine learning model are used as values for such parameters, effectively…

Machine Learning · Computer Science 2025-12-03 Pieter Smet

The test bench time needed for model-based calibration can be reduced with active learning methods for test design. This paper presents an improved strategy for active output selection. This is the task of learning multiple models in the…

Machine Learning · Computer Science 2021-01-12 Adrian Prochaska , Julien Pillas , Bernard Bäker

We are concerned with obtaining well-calibrated output distributions from regression models. Such distributions allow us to quantify the uncertainty that the model has regarding the predicted target value. We introduce the novel concept of…

Machine Learning · Statistics 2019-05-16 Hao Song , Tom Diethe , Meelis Kull , Peter Flach

This paper explores learning emulators for parameter estimation with uncertainty estimation of high-dimensional dynamical systems. We assume access to a computationally complex simulator that inputs a candidate parameter and outputs a…

Machine Learning · Computer Science 2022-11-04 Ruoxi Jiang , Rebecca Willett

Stochastic process discovery is concerned with deriving a model capable of reproducing the stochastic character of observed executions of a given process, stored in a log. This leads to an optimisation problem in which the model's parameter…

Formal Languages and Automata Theory · Computer Science 2025-05-01 Pierre Cry , Paolo Ballarini , András Horváth , Pascale Le Gall

The accurate representation of epistemic uncertainty is a challenging yet essential task in machine learning. A widely used representation corresponds to convex sets of probabilistic predictors, also known as credal sets. One popular way of…

Machine Learning · Computer Science 2025-07-30 Mira Jürgens , Thomas Mortier , Eyke Hüllermeier , Viktor Bengs , Willem Waegeman

Bayesian Optimization aims at optimizing an unknown non-convex/concave function that is costly to evaluate. We are interested in application scenarios where concurrent function evaluations are possible. Under such a setting, BO could choose…

Artificial Intelligence · Computer Science 2012-05-02 Javad Azimi , Ali Jalali , Xiaoli Fern