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This work is in the context of blackbox optimization where the functions defining the problem are expensive to evaluate and where no derivatives are available. A tried and tested technique is to build surrogates of the objective and the…

Optimization and Control · Mathematics 2022-08-18 Charles Audet , Sébastien Le Digabel , Renaud Saltet

Large Language Models (LLMs) have demonstrated remarkable in-context learning capabilities, enabling flexible utilization of limited historical information to play pivotal roles in reasoning, problem-solving, and complex pattern recognition…

Machine Learning · Computer Science 2025-03-31 Zhonglin Jiang , Qian Tang , Zequn Wang

Fine-tuning large language models (LMs) for individual tasks yields strong performance but is expensive for deployment and storage. Recent works explore model merging to combine multiple task-specific models into a single multi-task model…

Computation and Language · Computer Science 2025-05-30 Haobo Zhang , Jiayu Zhou

For semi-supervised techniques to be applied safely in practice we at least want methods to outperform their supervised counterparts. We study this question for classification using the well-known quadratic surrogate loss function. Using a…

Machine Learning · Statistics 2016-02-26 Jesse H. Krijthe , Marco Loog

We introduce a method to construct a stochastic surrogate model from the results of dimensionality reduction in forward uncertainty quantification. The hypothesis is that the high-dimensional input augmented by the output of a computational…

Applications · Statistics 2026-02-12 Jungho Kim , Sang-ri Yi , Ziqi Wang

Optimization problems involving mixed variables (i.e., variables of numerical and categorical nature) can be challenging to solve, especially in the presence of mixed-variable constraints. Moreover, when the objective function is the result…

Optimization and Control · Mathematics 2024-12-12 Mengjia Zhu , Alberto Bemporad

This paper presents a neural network--enhanced surrogate modeling approach for diffusion problems with spatially varying random field coefficients. The method builds on numerical homogenization, which compresses fine-scale coefficients into…

Numerical Analysis · Mathematics 2025-09-17 Fabian Kröpfl , Daniel Peterseim , Elisabeth Ullmann

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

Sampling techniques are used in many fields, including design of experiments, image processing, and graphics. The techniques in each field are designed to meet the constraints specific to that field such as uniform coverage of the range of…

Machine Learning · Computer Science 2023-06-08 Chandrika Kamath

High-fidelity numerical simulations of partial differential equations (PDEs) given a restricted computational budget can significantly limit the number of parameter configurations considered and/or time window evaluated for modeling a given…

Machine Learning · Computer Science 2023-09-04 Paolo Conti , Mengwu Guo , Andrea Manzoni , Attilio Frangi , Steven L. Brunton , J. Nathan Kutz

A common challenge in computer experiments and related fields is to efficiently explore the input space using a small number of samples, i.e., the experimental design problem. Much of the recent focus in the computer experiment literature,…

Methodology · Statistics 2019-07-01 Boya Zhang , D. Austin Cole , Robert B. Gramacy

Zero-shot methods detect LLM-generated text by computing statistical signatures using a surrogate model. Existing approaches typically employ a fixed surrogate for all inputs regardless of the unknown source. We systematically examine this…

Computation and Language · Computer Science 2026-02-03 Ke Sun , Guangsheng Bao , Han Cui , Yue Zhang

This paper aims to understand whether machine learning models should be trained using cost-sensitive surrogates or cost-agnostic ones (e.g., cross-entropy). Analyzing this question through the lens of $\mathcal{H}$-calibration, we find that…

Machine Learning · Computer Science 2025-02-28 Sanket Shah , Milind Tambe , Jessie Finocchiaro

We propose a novel training method based on nonlinear multilevel minimization techniques, commonly used for solving discretized large scale partial differential equations. Our multilevel training method constructs a multilevel hierarchy by…

Machine Learning · Computer Science 2020-06-30 Vanessa Braglia , Alena Kopaničáková , Rolf Krause

A general adaptive approach rooted in stratified sampling (SS) is proposed for sample-based uncertainty quantification (UQ). To motivate its use in this context the space-filling, orthogonality, and projective properties of SS are compared…

Methodology · Statistics 2015-12-14 Michael D. Shields , Kirubel Teferra , Adam Hapij , Raymond P. Daddazio

In the paper, a multi-objective evolutionary surrogate-assisted approach for the fast and effective generative design of coastal breakwaters is proposed. To approximate the computationally expensive objective functions, the deep…

Neural and Evolutionary Computing · Computer Science 2022-10-28 Nikita O. Starodubcev , Nikolay O. Nikitin , Anna V. Kalyuzhnaya

This paper focuses on hyperparameter optimization for autonomous driving strategies based on Reinforcement Learning. We provide a detailed description of training the RL agent in a simulation environment. Subsequently, we employ Efficient…

Machine Learning · Computer Science 2024-07-22 Nihal Acharya Adde , Hanno Gottschalk , Andreas Ebert

Offline design optimization problem arises in numerous science and engineering applications including material and chemical design, where expensive online experimentation necessitates the use of in silico surrogate functions to predict and…

Machine Learning · Computer Science 2025-03-05 Minh Hoang , Azza Fadhel , Aryan Deshwal , Janardhan Rao Doppa , Trong Nghia Hoang

Surrogate strategies are used widely for uncertainty quantification of groundwater models in order to improve computational efficiency. However, their application to dynamic multiphase flow problems is hindered by the curse of…

Machine Learning · Statistics 2019-05-02 Shaoxing Mo , Yinhao Zhu , Nicholas Zabaras , Xiaoqing Shi , Jichun Wu

In a task where many similar inverse problems must be solved, evaluating costly simulations is impractical. Therefore, replacing the model $y$ with a surrogate model $y_s$ that can be evaluated quickly leads to a significant speedup. The…

Numerical Analysis · Mathematics 2024-05-15 Phillip Semler , Martin Weiser