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We are interested in building low-dimensional surrogate models to reduce optimization costs, while having theoretical guarantees that the optimum will satisfy the constraints of the full-size model, by making conservative approximations.…

数值分析 · 数学 2025-11-12 Philippe-André Luneau

Variational regularization has remained one of the most successful approaches for reconstruction in imaging inverse problems for several decades. With the emergence and astonishing success of deep learning in recent years, a considerable…

机器学习 · 计算机科学 2021-10-26 Subhadip Mukherjee , Carola-Bibiane Schönlieb , Martin Burger

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

机器学习 · 计算机科学 2024-10-28 Shudian Zhao , Jan Kronqvist

In this work, we present GAROM, a new approach for reduced order modelling (ROM) based on generative adversarial networks (GANs). GANs have the potential to learn data distribution and generate more realistic data. While widely applied in…

机器学习 · 计算机科学 2025-01-31 Dario Coscia , Nicola Demo , Gianluigi Rozza

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…

机器学习 · 计算机科学 2025-09-23 Riccardo Doyle

Generative Adversarial Networks (GANs) are popular and successful generative models. Despite their success, optimization is notoriously challenging. In this work, we explain the success and limitations of GANs by casting them as Bayesian…

机器学习 · 计算机科学 2026-02-03 Maurizio Filippone , Marius P. Linhard

In this paper, we propose to equip Generative Adversarial Networks with the ability to produce direct energy estimates for samples.Specifically, we propose a flexible adversarial training framework, and prove this framework not only ensures…

机器学习 · 计算机科学 2017-02-27 Zihang Dai , Amjad Almahairi , Philip Bachman , Eduard Hovy , Aaron Courville

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

最优化与控制 · 数学 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

We consider online learning in an adversarial, non-convex setting under the assumption that the learner has an access to an offline optimization oracle. In the general setting of prediction with expert advice, Hazan et al. (2016)…

机器学习 · 计算机科学 2019-05-30 Naman Agarwal , Alon Gonen , Elad Hazan

We study the problem of Offline Safe Reinforcement Learning (OSRL), where the goal is to learn a reward-maximizing policy from fixed data under a cumulative cost constraint. We propose a novel OSRL approach that frames the problem as a…

机器学习 · 计算机科学 2025-10-28 Yassine Chemingui , Aryan Deshwal , Alan Fern , Thanh Nguyen-Tang , Janardhan Rao Doppa

Generative molecular optimization aims to design molecules with properties surpassing those of existing compounds. However, such candidates are rare and expensive to evaluate, yielding sample efficiency essential. Additionally, surrogate…

Offline model-based optimization (MBO) aims to identify a design that maximizes a black-box function using only a fixed, pre-collected dataset of designs and their corresponding scores. A common approach in offline MBO is to train a…

机器学习 · 计算机科学 2025-05-05 Rong-Xi Tan , Ke Xue , Shen-Huan Lyu , Haopu Shang , Yao Wang , Yaoyuan Wang , Sheng Fu , Chao Qian

Transfer-based attack adopts the adversarial examples generated on the surrogate model to attack various models, making it applicable in the physical world and attracting increasing interest. Recently, various adversarial attacks have…

计算机视觉与模式识别 · 计算机科学 2023-11-03 Zhijin Ge , Hongying Liu , Xiaosen Wang , Fanhua Shang , Yuanyuan Liu

Parallel surrogate optimization algorithms have proven to be efficient methods for solving expensive noisy optimization problems. In this work we develop a new parallel surrogate optimization algorithm (ProSRS), using a novel tree-based…

最优化与控制 · 数学 2019-08-22 Chenchao Shou , Matthew West

The objective of offline RL is to learn optimal policies when a fixed exploratory demonstrations data-set is available and sampling additional observations is impossible (typically if this operation is either costly or rises ethical…

机器学习 · 计算机科学 2021-06-10 Firas Jarboui , Vianney Perchet

Generative adversarial networks (GANs) form a generative modeling approach known for producing appealing samples, but they are notably difficult to train. One common way to tackle this issue has been to propose new formulations of the GAN…

机器学习 · 计算机科学 2020-09-01 Gauthier Gidel , Hugo Berard , Gaëtan Vignoud , Pascal Vincent , Simon Lacoste-Julien

We introduce the concept of decision-focused surrogate modeling for solving computationally challenging nonlinear optimization problems in real-time settings. The proposed data-driven framework seeks to learn a simpler, e.g. convex,…

最优化与控制 · 数学 2023-12-27 Rishabh Gupta , Qi Zhang

Offline reinforcement learning (RL) tries to learn the near-optimal policy with recorded offline experience without online exploration. Current offline RL research includes: 1) generative modeling, i.e., approximating a policy using fixed…

机器学习 · 计算机科学 2021-06-23 Hua Wei , Deheng Ye , Zhao Liu , Hao Wu , Bo Yuan , Qiang Fu , Wei Yang , Zhenhui Li

We consider a class of stochastic programming problems where the implicitly decision-dependent random variable follows a nonparametric regression model with heteroscedastic error. The Clarke subdifferential and surrogate functions are not…

最优化与控制 · 数学 2025-05-13 Boyang Shen , Junyi Liu

Adversarial training is an effective method to boost model robustness to malicious, adversarial attacks. However, such improvement in model robustness often leads to a significant sacrifice of standard performance on clean images. In many…

机器学习 · 计算机科学 2022-04-29 Pengyue Hou , Ming Zhou , Jie Han , Petr Musilek , Xingyu Li