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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

Generalization bounds for deep learning models are typically vacuous, not computable or restricted to specific model classes. In this paper, we tackle these issues by providing new disagreement-based certificates for the gap between the…

Machine Learning · Computer Science 2026-02-27 Mathieu Bazinet , Valentina Zantedeschi , Pascal Germain

Bayesian optimisation is a sample efficient method for finding a global optimum of expensive black-box objective functions. Historic datasets from related problems can be exploited to help improve performance of Bayesian optimisation by…

Machine Learning · Computer Science 2026-01-23 Natasha Trinkle , Huong Ha , Jeffrey Chan

Recently, neural surrogate models have emerged as a compelling alternative to traditional simulation workflows. This is accomplished by modeling the underlying function of scientific simulations, removing the need to run expensive…

Machine Learning · Computer Science 2025-08-19 Xiaohan Wang , Zhimin Li , Joshua A. Levine , Matthew Berger

Bayesian hyperparameter optimization relies heavily on Gaussian Process (GP) surrogates, due to robust distributional posteriors and strong performance on limited training samples. GPs however underperform in categorical hyperparameter…

Machine Learning · Computer Science 2025-09-23 Riccardo Doyle

Trial level surrogates are useful tools for improving the speed and cost effectiveness of trials, but surrogates that have not been properly evaluated can cause misleading results. The evaluation procedure is often contextual and depends on…

Methodology · Statistics 2022-08-23 Michael C Sachs , Erin E Gabriel , Alessio Crippa , Michael J Daniels

We consider algorithms for "smoothed online convex optimization" problems, a variant of the class of online convex optimization problems that is strongly related to metrical task systems. Prior literature on these problems has focused on…

Data Structures and Algorithms · Computer Science 2015-08-18 Lachlan L. H. Andrew , Siddharth Barman , Katrina Ligett , Minghong Lin , Adam Meyerson , Alan Roytman , Adam Wierman

The Area under the ROC curve (AUC) is a well-known ranking metric for problems such as imbalanced learning and recommender systems. The vast majority of existing AUC-optimization-based machine learning methods only focus on binary-class…

Machine Learning · Computer Science 2021-07-29 Zhiyong Yang , Qianqian Xu , Shilong Bao , Xiaochun Cao , Qingming Huang

Computational models provide crucial insights into complex biological processes such as cancer evolution, but their mechanistic nature often makes them nonlinear and parameter-rich, complicating calibration. We systematically evaluate…

Analysis of PDEs · Mathematics 2025-09-24 Christina Schenk , Jacobo Ayensa Jiménez , Ignacio Romero

In the field of modeling, the word validation refers to simple comparisons between model outputs and experimental data. Usually, this comparison constitutes plotting the model results against data on the same axes to provide a visual…

Applications · Statistics 2021-06-11 Farid Mohammadi

Multidisciplinary design optimization methods aim at adapting numerical optimization techniques to the design of engineering systems involving multiple disciplines. In this context, a large number of mixed continuous, integer and…

Machine learning surrogates are increasingly employed to replace expensive computational models for physics-based reliability analysis. However, their use introduces epistemic uncertainty from model approximation errors, which couples with…

Machine Learning · Computer Science 2025-09-24 Amirreza Tootchi , Xiaoping Du

Estimating heterogeneous treatment effects with machine learning has attracted substantial attention in both academic research and industrial practice. However, the two communities often evaluate models under markedly different conditions.…

Machine Learning · Computer Science 2026-05-26 George Panagopoulos

Measurement bridges theory and empirics. Without measures that appropriately capture theoretical concepts, description will fail to represent reality and true causal inference will be impossible. Yet, the social sciences traffic in complex…

Applications · Statistics 2024-05-29 Marco Morucci , Margaret Foster , Kaitlyn Webster , So Jin Lee , David Siegel

The Area Under the Curve (AUC) is an important performance metric for classification tasks, particularly in class-imbalanced scenarios. However, minimizing the AUC presents significant challenges due to the non-convex and discontinuous…

Machine Learning · Computer Science 2025-10-27 JunRu Luo , Difei Cheng , Bo Zhang

We present a detailed study of surrogate losses and algorithms for multi-label learning, supported by $H$-consistency bounds. We first show that, for the simplest form of multi-label loss (the popular Hamming loss), the well-known…

Machine Learning · Computer Science 2024-07-19 Anqi Mao , Mehryar Mohri , Yutao Zhong

Online structured prediction is a task of sequentially predicting outputs with complex structures based on inputs and past observations, encompassing online classification. Recent studies showed that in the full-information setting, we can…

Machine Learning · Computer Science 2026-01-06 Yuki Shibukawa , Taira Tsuchiya , Shinsaku Sakaue , Kenji Yamanishi

We consider the setting of iterative learning control, or model-based policy learning in the presence of uncertain, time-varying dynamics. In this setting, we propose a new performance metric, planning regret, which replaces the standard…

Machine Learning · Computer Science 2021-03-01 Naman Agarwal , Elad Hazan , Anirudha Majumdar , Karan Singh

The transition of the power grid requires new technologies and methodologies, which can only be developed and tested in simulations. Especially larger simulation setups with many levels of detail can become quite slow. Therefore, the number…

Signal Processing · Electrical Eng. & Systems 2020-06-23 Stephan Balduin , Tom Westermann , Erika Puiutta

We study the problem of model selection in causal inference, specifically for conditional average treatment effect (CATE) estimation. Unlike machine learning, there is no perfect analogue of cross-validation for model selection as we do not…

Machine Learning · Computer Science 2024-04-30 Divyat Mahajan , Ioannis Mitliagkas , Brady Neal , Vasilis Syrgkanis