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Many machine learning algorithms are vulnerable to almost imperceptible perturbations of their inputs. So far it was unclear how much risk adversarial perturbations carry for the safety of real-world machine learning applications because…

Machine Learning · Statistics 2018-02-19 Wieland Brendel , Jonas Rauber , Matthias Bethge

In this chapter we give an overview of the consensus-based global optimization algorithm and its recent variants. We recall the formulation and analytical results of the original model, then we discuss variants using component-wise…

Optimization and Control · Mathematics 2021-04-06 Claudia Totzeck

Data-driven offline model-based optimization (MBO) is an established practical approach to black-box computational design problems for which the true objective function is unknown and expensive to query. However, the standard approach which…

Machine Learning · Computer Science 2023-04-03 Sathvik Kolli

Evolutionarily stable strategy (ESS) is an important solution concept in game theory which has been applied frequently to biological models. Informally an ESS is a strategy that if followed by the population cannot be taken over by a…

Computer Science and Game Theory · Computer Science 2019-01-18 Sam Ganzfried

Black-box zero-th order optimization is a central primitive for applications in fields as diverse as finance, physics, and engineering. In a common formulation of this problem, a designer sequentially attempts candidate solutions, receiving…

Machine Learning · Computer Science 2024-07-08 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

Bayesian optimization is a powerful method for optimizing black-box functions with limited function evaluations. Recent works have shown that optimization in a latent space through deep generative models such as variational autoencoders…

Machine Learning · Computer Science 2023-11-21 Seunghun Lee , Jaewon Chu , Sihyeon Kim , Juyeon Ko , Hyunwoo J. Kim

This paper introduces the Trust-Based Optimization (TBO), a novel extension of the island model in evolutionary computation that replaces conventional periodic migrations with a flexible, agent-driven interaction mechanism based on trust or…

Neural and Evolutionary Computing · Computer Science 2025-10-30 Aleksandra Urbańczyk , Krzysztof Czech , Piotr Urbańczyk , Marek Kisiel-Dorohinicki , Aleksander Byrski

In the last decade, deep neural networks have proven to be very powerful in computer vision tasks, starting a revolution in the computer vision and machine learning fields. However, deep neural networks, usually, are not robust to…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Hao Qiu , Leonardo Lucio Custode , Giovanni Iacca

In this paper, we study the problem of constrained robust (min-max) optimization ina black-box setting, where the desired optimizer cannot access the gradients of the objective function but may query its values. We present a principled…

Machine Learning · Computer Science 2020-06-18 Sijia Liu , Songtao Lu , Xiangyi Chen , Yao Feng , Kaidi Xu , Abdullah Al-Dujaili , Minyi Hong , Una-May O'Reilly

Bayesian optimization is a powerful optimization tool for problems where native first-order derivatives are unavailable. Recently, constrained Bayesian optimization (CBO) has been applied to many engineering applications where constraints…

Optimization and Control · Mathematics 2024-03-21 J. Wang , C. G. Petra , J. L. Peterson

Bayesian Optimization (BO) is an effective approach for global optimization of black-box functions when function evaluations are expensive. Most prior works use Gaussian processes to model the black-box function, however, the use of kernels…

Machine Learning · Computer Science 2023-09-25 Dat Phan-Trong , Hung Tran-The , Sunil Gupta

This paper studies the problem of globally optimizing a variable of interest that is part of a causal model in which a sequence of interventions can be performed. This problem arises in biology, operational research, communications and,…

Machine Learning · Statistics 2020-05-27 Virginia Aglietti , Xiaoyu Lu , Andrei Paleyes , Javier González

We establish a uniform-in-time estimate for the mean-field convergence of the Consensus-Based Optimization (CBO) algorithm by rescaling the consensus point in the dynamics with a small parameter $\kappa \in (0,1)$. This uniform-in-time…

Optimization and Control · Mathematics 2025-07-01 Hui Huang , Hicham Kouhkouh

Bayesian optimization (BO) is a successful methodology to optimize black-box functions that are expensive to evaluate. While traditional methods optimize each black-box function in isolation, there has been recent interest in speeding up BO…

Machine Learning · Statistics 2019-09-30 Valerio Perrone , Huibin Shen , Matthias Seeger , Cedric Archambeau , Rodolphe Jenatton

Message-passing algorithms have emerged as powerful techniques for approximate inference in graphical models. When these algorithms converge, they can be shown to find local (or sometimes even global) optima of variational formulations to…

Artificial Intelligence · Computer Science 2012-05-14 Talya Meltzer , Amir Globerson , Yair Weiss

Neuroevolution automates the complex task of neural network design but often ignores the inherent adversarial fragility of evolved models which is a barrier to adoption in safety-critical scenarios. While robust training methods have…

Neural and Evolutionary Computing · Computer Science 2026-03-27 Inês Valentim , Nuno Antunes , Nuno Lourenço

Bayesian optimization (BO) is a popular approach for optimizing expensive-to-evaluate black-box objective functions. An important challenge in BO is its application to high-dimensional search spaces due in large part to the curse of…

Machine Learning · Computer Science 2025-05-27 Wei-Ting Tang , Joel A. Paulson

Face recognition has obtained remarkable progress in recent years due to the great improvement of deep convolutional neural networks (CNNs). However, deep CNNs are vulnerable to adversarial examples, which can cause fateful consequences in…

Computer Vision and Pattern Recognition · Computer Science 2019-04-10 Yinpeng Dong , Hang Su , Baoyuan Wu , Zhifeng Li , Wei Liu , Tong Zhang , Jun Zhu

Cyber attacks are increasing in volume, frequency, and complexity. In response, the security community is looking toward fully automating cyber defense systems using machine learning. However, so far the resultant effects on the…

Cryptography and Security · Computer Science 2021-11-25 Christian Schroeder de Witt , Yongchao Huang , Philip H. S. Torr , Martin Strohmeier

Scaling Bayesian optimisation (BO) to high-dimensional search spaces is a active and open research problems particularly when no assumptions are made on function structure. The main reason is that at each iteration, BO requires to find…

Machine Learning · Statistics 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh
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