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Black-box and preference-based optimization algorithms are global optimization procedures that aim to find the global solutions of an optimization problem using, respectively, the least amount of function evaluations or sample comparisons…

Optimization and Control · Mathematics 2022-02-04 Davide Previtali , Mirko Mazzoleni , Antonio Ferramosca , Fabio Previdi

In many real-world problems, we want to infer some property of an expensive black-box function $f$, given a budget of $T$ function evaluations. One example is budget constrained global optimization of $f$, for which Bayesian optimization is…

Machine Learning · Statistics 2021-07-07 Willie Neiswanger , Ke Alexander Wang , Stefano Ermon

This paper considers the problem of evaluating an autonomous system's competency in performing a task, particularly when working in dynamic and uncertain environments. The inherent opacity of machine learning models, from the perspective of…

Robotics · Computer Science 2024-01-11 Akash Ratheesh , Ofer Dagan , Nisar R. Ahmed , Jay McMahon

Algorithm evaluation and comparison are fundamental questions in machine learning and statistics -- how well does an algorithm perform at a given modeling task, and which algorithm performs best? Many methods have been developed to assess…

Statistics Theory · Mathematics 2025-11-25 Yuetian Luo , Rina Foygel Barber

Though competitive analysis is often a very good tool for the analysis of online algorithms, sometimes it does not give any insight and sometimes it gives counter-intuitive results. Much work has gone into exploring other performance…

Data Structures and Algorithms · Computer Science 2017-06-14 Joan Boyar , Leah Epstein , Lene M. Favrholdt , Kim S. Larsen , Asaf Levin

There is a lot of interest today in building autonomous (or, self-driving) data processing systems. An emerging school of thought is to leverage AI-driven "black box" algorithms for this purpose. In this paper, we present a contrarian view.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-28 Mayuresh Kunjir , Shivnath Babu

Consider a collection of competing machine learning algorithms. Given their performance on a benchmark of datasets, we would like to identify the best performing algorithm. Specifically, which algorithm is most likely to rank highest on a…

Machine Learning · Computer Science 2025-08-08 Amichai Painsky

Bilevel optimization, a hierarchical mathematical framework where one optimization problem is nested within another, has emerged as a powerful tool for modeling complex decision-making processes in various fields such as economics,…

Machine Learning · Computer Science 2024-12-25 Omer Ekmekcioglu , Nursen Aydin , Juergen Branke

Bayesian optimization has demonstrated impressive success in finding the optimum input x* and output f* = f(x*) = max f(x) of a black-box function f. In some applications, however, the optimum output f* is known in advance and the goal is…

Machine Learning · Statistics 2020-08-18 Vu Nguyen , Michael A. Osborne

Bayesian optimization is a methodology to optimize black-box functions. Traditionally, it focuses on the setting where you can arbitrarily query the search space. However, many real-life problems do not offer this flexibility; in…

When optimizing real-time systems, designers often face a challenging problem where the schedulability constraints are non-convex, non-continuous, or lack an analytical form to understand their properties. Although the optimization…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Sen Wang , Dong Li , Shao-Yu Huang , Xuanliang Deng , Ashrarul H. Sifat , Changhee Jung , Ryan Williams , Haibo Zeng

This paper addresses the problem of safe optimization under a single smooth constraint, a scenario that arises in diverse real-world applications such as robotics and autonomous navigation. The objective of safe optimization is to solve a…

Optimization and Control · Mathematics 2025-05-15 Ilnura Usmanova , Kfir Yehuda Levy

Algorithm designers typically assume that the input data is correct, and then proceed to find "optimal" or "sub-optimal" solutions using this input data. However this assumption of correct data does not always hold in practice, especially…

Machine Learning · Computer Science 2015-10-13 Hal Daumé , Samir Khuller , Manish Purohit , Gregory Sanders

One of the most challenging problems in evolutionary computation is to select from its family of diverse solvers one that performs well on a given problem. This algorithm selection problem is complicated by the fact that different phases of…

Neural and Evolutionary Computing · Computer Science 2020-06-12 Diederick Vermetten , Hao Wang , Carola Doerr , Thomas Bäck

Black-box optimization (BBO) algorithms are concerned with finding the best solutions for problems with missing analytical details. Most classical methods for such problems are based on strong and fixed a priori assumptions, such as…

Machine Learning · Computer Science 2023-02-01 Minfang Lu , Shuai Ning , Shuangrong Liu , Fengyang Sun , Bo Zhang , Bo Yang , Lin Wang

This manuscript studies a general approach to construct confidence sets for the solution of stochastic optimization, rendering empirical risk minimization as special cases. Statistical inference for stochastic optimization poses significant…

Statistics Theory · Mathematics 2026-05-22 Kenta Takatsu , Arun Kumar Kuchibhotla

Accurate uncertainty estimates are important in sequential model-based decision-making tasks such as Bayesian optimization. However, these estimates can be imperfect if the data violates assumptions made by the model (e.g., Gaussianity).…

Machine Learning · Computer Science 2024-06-27 Shachi Deshpande , Charles Marx , Volodymyr Kuleshov

The application of Deep Neural Networks (DNNs) to a broad variety of tasks demands methods for coping with the complex and opaque nature of these architectures. When a gold standard is available, performance assessment treats the DNN as a…

Machine Learning · Computer Science 2022-12-23 Piero Fraternali , Federico Milani , Rocio Nahime Torres , Niccolò Zangrando

Black-box alpha (BB-$\alpha$) is a new approximate inference method based on the minimization of $\alpha$-divergences. BB-$\alpha$ scales to large datasets because it can be implemented using stochastic gradient descent. BB-$\alpha$ can be…

This paper addresses the integration of additional information sources into a Bayesian optimization framework while ensuring that safety constraints are satisfied. The interdependencies between these information sources are modeled using an…

Machine Learning · Computer Science 2025-05-06 Jannis O. Luebsen , Annika Eichler