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Surrogate models are often used as computationally efficient approximations to complex simulation models, enabling tasks such as solving inverse problems, sensitivity analysis, and probabilistic forward predictions, which would otherwise be…

Machine Learning · Statistics 2026-05-13 Philipp Reiser , Paul-Christian Bürkner , Anneli Guthke

Bayesian inference methods such as Markov Chain Monte Carlo (MCMC) typically require repeated computations of the likelihood function, but in some scenarios this is infeasible and alternative methods are needed. Simulation-based inference…

Machine Learning · Computer Science 2025-12-10 Linnea M Wolniewicz , Peter Sadowski , Claudio Corti

Bayesian inference typically relies on a large number of model evaluations to estimate posterior distributions. Established methods like Markov Chain Monte Carlo (MCMC) and Amortized Bayesian Inference (ABI) can become computationally…

Neural density estimators have proven remarkably powerful in performing efficient simulation-based Bayesian inference in various research domains. In particular, the BayesFlow framework uses a two-step approach to enable amortized parameter…

Methodology · Statistics 2022-11-10 Marvin Schmitt , Paul-Christian Bürkner , Ullrich Köthe , Stefan T. Radev

The Consistency property between surrogate losses and evaluation metrics has been extensively studied to ensure that minimizing a loss leads to metric optimality. However, the direct relationship between different evaluation metrics remains…

Machine Learning · Computer Science 2026-03-10 Yuanhao Pu , Defu Lian , Enhong Chen

Offline model-based optimization (MBO) seeks to discover high-performing designs using only a fixed dataset of past evaluations. Most existing methods rely on learning a surrogate model via regression and implicitly assume that good…

Machine Learning · Computer Science 2026-03-05 Shen-Huan Lyu , Rong-Xi Tan , Ke Xue , Yi-Xiao He , Yu Huang , Qingfu Zhang , Chao Qian

We address the problem of training models with black-box and hard-to-optimize metrics by expressing the metric as a monotonic function of a small number of easy-to-optimize surrogates. We pose the training problem as an optimization over a…

Machine Learning · Computer Science 2020-02-21 Qijia Jiang , Olaoluwa Adigun , Harikrishna Narasimhan , Mahdi Milani Fard , Maya Gupta

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

Machine Learning · Computer Science 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

Monte Carlo simulation is often used for the reliability assessment of power systems, but it converges slowly when the system is complex. Multilevel Monte Carlo (MLMC) can be applied to speed up computation without compromises on model…

Computation · Statistics 2022-07-12 Ensieh Sharifnia , Simon Tindemans

We analyze the behavior of approximate Bayesian computation (ABC) when the model generating the simulated data differs from the actual data generating process; i.e., when the data simulator in ABC is misspecified. We demonstrate both…

Statistics Theory · Mathematics 2020-12-17 David T. Frazier , Christian P. Robert , Judith Rousseau

Taking agent-based models (ABM) closer to the data is an open challenge. This paper explicitly tackles parameter space exploration and calibration of ABMs combining supervised machine-learning and intelligent sampling to build a surrogate…

Economics · Quantitative Finance 2017-04-07 Francesco Lamperti , Andrea Roventini , Amir Sani

The widespread adoption of machine learning surrogate models has significantly improved the scale and complexity of systems and processes that can be explored accurately and efficiently using atomistic modeling. However, the inherently…

Chemical Physics · Physics 2025-03-13 Federico Grasselli , Sanggyu Chong , Venkat Kapil , Silvia Bonfanti , Kevin Rossi

Sample-based Bayesian inference provides a route to uncertainty quantification in the geosciences, and inverse problems in general, though is very computationally demanding in the naive form that requires simulating an accurate computer…

Computation · Statistics 2019-04-12 Tiangang Cui , Colin Fox , Michael J O'Sullivan

For stochastic process models, parameter inference is often severely bottlenecked by computationally expensive likelihood functions. Simulation-based inference (SBI) bypasses this restriction by constructing amortized surrogate likelihoods,…

Machine Learning · Statistics 2026-05-26 Alexander Shen , Mikael Kuusela

Multilevel models (MLMs) are a central building block of the Bayesian workflow. They enable joint, interpretable modeling of data across hierarchical levels and provide a fully probabilistic quantification of uncertainty. Despite their…

Model Predictive Control (MPC) offers rigorous safety and performance guarantees but is computationally intensive. Approximate MPC (AMPC) aims to circumvent this drawback by learning a computationally cheaper surrogate policy. Common…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Elias Milios , Kim P. Wabersich , Felix Berkel , Felix Gruber , Melanie N. Zeilinger

Variational inference is a powerful paradigm for approximate Bayesian inference with a number of appealing properties, including support for model learning and data subsampling. By contrast MCMC methods like Hamiltonian Monte Carlo do not…

Machine Learning · Statistics 2022-07-14 Martin Jankowiak , Du Phan

Many practical problems involve the recovery of a binary matrix from partial information, which makes the binary matrix completion (BMC) technique received increasing attention in machine learning. In particular, we consider a special case…

Machine Learning · Computer Science 2019-04-09 Chunsheng Liu

The polynomial chaos (PC) expansion has been widely used as a surrogate model in the Bayesian inference to speed up the Markov chain Monte Carlo (MCMC) calculations. However, the use of a PC surrogate introduces the modeling error, that may…

Numerical Analysis · Mathematics 2019-02-20 Liang Yan , Tao Zhou

In many randomized trials, outcomes such as essays or open-ended responses must be manually scored as a preliminary step to impact analysis, a process that is costly and limiting. Model-assisted estimation offers a way to combine surrogate…

Methodology · Statistics 2026-02-16 Reagan Mozer , Nicole E. Pashley , Luke Miratrix