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A surrogate model approximates the outputs of a solver of Partial Differential Equations (PDEs) with a low computational cost. In this article, we propose a method to build learning-based surrogates in the context of parameterized PDEs,…

Machine Learning · Computer Science 2024-06-28 Alejandro Ribés , Nawfal Benchekroun , Théo Delagnes

Active learning is a promising paradigm to reduce the labeling cost by strategically requesting labels to improve model performance. However, existing active learning methods often rely on expensive acquisition function to compute,…

Machine Learning · Computer Science 2023-10-27 Zixin Ding , Si Chen , Ruoxi Jia , Yuxin Chen

We present an algorithm for multi-objective optimization of computationally expensive problems. The proposed algorithm is based on solving a set of surrogate problems defined by models of the real one, so that only solutions estimated to be…

Neural and Evolutionary Computing · Computer Science 2021-04-20 Santiago Cuervo , Miguel Melgarejo , Angie Blanco-Cañon , Laura Reyes-Fajardo , Sergio Rojas-Galeano

Global aerodynamic design optimization using Euler or Navier-Stokes equations requires very reliable surrogate modeling techniques since the computational effort for the underlying flow simulations is usually high. In general, for such…

Optimization and Control · Mathematics 2018-11-02 Emre Özkaya , Nicolas R. Gauger

Generating simulated training data needed for constructing sufficiently accurate surrogate models to be used for efficient optimization or parameter identification can incur a huge computational effort in the offline phase. We consider a…

Numerical Analysis · Mathematics 2024-04-03 Phillip Semler , Martin Weiser

This chapter deals with kernel methods as a special class of techniques for surrogate modeling. Kernel methods have proven to be efficient in machine learning, pattern recognition and signal analysis due to their flexibility, excellent…

Numerical Analysis · Mathematics 2022-10-31 Gabriele Santin , Bernard Haasdonk

This paper introduces a novel data-free model extraction attack that significantly advances the current state-of-the-art in terms of efficiency, accuracy, and effectiveness. Traditional black-box methods rely on using the victim's model as…

Cryptography and Security · Computer Science 2024-10-22 Maor Biton Dor , Yisroel Mirsky

Modern AI agents such as large language models are trained on diverse tasks -- translation, code generation, mathematical reasoning, and text prediction -- simultaneously. A key question is how to quantify the influence of each individual…

Machine Learning · Computer Science 2026-05-12 Zhenshuo Zhang , Minxuan Duan , Hongyang R. Zhang

Recently, many studies utilized adversarial examples (AEs) to raise the cost of malicious image editing and copyright violation powered by latent diffusion models (LDMs). Despite their successes, a few have studied the surrogate model they…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Junxi Chen , Junhao Dong , Xiaohua Xie

Predicting and simulating aerodynamic fields for civil aircraft over wide flight envelopes represent a real challenge mainly due to significant numerical costs and complex flows. Surrogate models and reduced-order models help to estimate…

Fluid Dynamics · Physics 2019-12-11 Romain Dupuis , Jean-Christophe Jouhaud , Pierre Sagaut

As we seek to deploy machine learning models beyond virtual and controlled domains, it is critical to analyze not only the accuracy or the fact that it works most of the time, but if such a model is truly robust and reliable. This paper…

Machine Learning · Computer Science 2020-07-07 Samuel Henrique Silva , Peyman Najafirad

Model stealing attacks have become a serious concern for deep learning models, where an attacker can steal a trained model by querying its black-box API. This can lead to intellectual property theft and other security and privacy risks. The…

Machine Learning · Computer Science 2023-09-12 Kacem Khaled , Mouna Dhaouadi , Felipe Gohring de Magalhães , Gabriela Nicolescu

Numerically solving a large parametric nonlinear dynamical system is challenging due to its high complexity and the high computational costs. In recent years, machine-learning-aided surrogates are being actively researched. However, many…

Machine Learning · Computer Science 2024-10-18 Shuwen Sun , Lihong Feng , Peter Benner

Spatial prediction refers to the estimation of unobserved values from spatially distributed observations. Although recent advances have improved the capacity to model diverse observation types, adoption in practice remains limited in…

Machine Learning · Statistics 2025-10-10 Yuta Shikuri , Hironori Fujisawa

Model extraction attacks currently pose a non-negligible threat to the security and privacy of deep learning models. By querying the model with a small dataset and usingthe query results as the ground-truth labels, an adversary can steal a…

Cryptography and Security · Computer Science 2024-07-02 Huajie Chen , Tianqing Zhu , Lefeng Zhang , Bo Liu , Derui Wang , Wanlei Zhou , Minhui Xue

The ability to transfer adversarial attacks from one model (the surrogate) to another model (the victim) has been an issue of concern within the machine learning (ML) community. The ability to successfully evade unseen models represents an…

Machine Learning · Computer Science 2021-09-28 Luke E. Richards , André Nguyen , Ryan Capps , Steven Forsythe , Cynthia Matuszek , Edward Raff

Bilevel optimization is a powerful tool for modeling hierarchical decision making processes. However, the resulting problems are challenging to solve - both in theory and practice. Fortunately, there have been significant algorithmic…

Optimization and Control · Mathematics 2023-01-25 Yasmine Beck , Ivana Ljubić , Martin Schmidt

Existing work on data-driven optimization focuses on problems in static environments, but little attention has been paid to problems in dynamic environments. This paper proposes a data-driven optimization algorithm to deal with the…

Neural and Evolutionary Computing · Computer Science 2020-12-29 Cuie Yang , Jinliang Ding , Yaochu Jin , Tianyou Chai

This paper describes a simple, but effective sampling method for optimizing and learning a discrete approximation (or surrogate) of a multi-dimensional function along a one-dimensional line segment of interest. The method does not rely on…

Optimization and Control · Mathematics 2023-07-21 Dimitri J. Papageorgiou , Jan Kronqvist , Krishnan Kumaran

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
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