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Many real-world applications require decision-makers to assess the quality of solutions while considering multiple conflicting objectives. Obtaining good approximation sets for highly constrained many-objective problems is often a difficult…

Artificial Intelligence · Computer Science 2025-08-13 Rodrigo Lankaites Pinheiro , Dario Landa-Silva , Wasakorn Laesanklang , Ademir Aparecido Constantino

An algorithm for a particular problem may find some instances of the problem easier and others harder to solve, even for a fixed input size. We numerically analyse the relative hardness of MAX 2-SAT problem instances for various…

Quantum Physics · Physics 2023-07-24 Puya Mirkarimi , Adam Callison , Lewis Light , Nicholas Chancellor , Viv Kendon

We study oracle complexity of gradient based methods for stochastic approximation problems. Though in many settings optimal algorithms and tight lower bounds are known for such problems, these optimal algorithms do not achieve the best…

Optimization and Control · Mathematics 2022-06-20 Jingzhao Zhang , Hongzhou Lin , Subhro Das , Suvrit Sra , Ali Jadbabaie

In order to compare and benchmark the mathematical software, the performance profiles have been introduced [1]. However, it has been proved that the algorithm is not flawless. The main issue with the performance profile is that it may rank…

Optimization and Control · Mathematics 2020-01-31 Rasoul Hekmati , Hanieh Mirhajianmoghadam

In machine learning algorithm design, there exists a trade-off between the interpretability and performance of the algorithm. In general, algorithms which are simpler and easier for humans to comprehend tend to show worse performance than…

Machine Learning · Computer Science 2024-07-15 Eric M. Vernon , Naoki Masuyama , Yusuke Nojima

Predicting and comparing algorithm performance on graph instances is challenging for multiple reasons. First, there is usually no standard set of instances to benchmark performance. Second, using existing graph generators results in a…

Artificial Intelligence · Computer Science 2022-11-22 Thibault Lechien , Jorik Jooken , Patrick De Causmaecker

Knowledge of search-landscape features of BlackBox Optimization (BBO) problems offers valuable information in light of the Algorithm Selection and/or Configuration problems. Exploratory Landscape Analysis (ELA) models have gained success in…

Artificial Intelligence · Computer Science 2022-06-29 Boris Yazmir , Ofer M. Shir

One of the primary goals of the mathematical analysis of algorithms is to provide guidance about which algorithm is the "best" for solving a given computational problem. Worst-case analysis summarizes the performance profile of an algorithm…

Data Structures and Algorithms · Computer Science 2020-07-28 Tim Roughgarden

Automated algorithm selection for continuous black-box optimization depends on representing problem information under limited probing and selecting solvers under heavy-tailed performance distributions. This paper proposes a geometric…

Machine Learning · Computer Science 2026-05-22 Jiabao Brad Wang , Xiang Shi , Yiliang Yuan , Mustafa Misir

Interpretable machine learning offers insights into what factors drive a certain prediction of a black-box system. A large number of interpreting methods focus on identifying explanatory input features, which generally fall into two main…

Machine Learning · Computer Science 2023-06-02 Vy Vo , Van Nguyen , Trung Le , Quan Hung Tran , Gholamreza Haffari , Seyit Camtepe , Dinh Phung

We propose a new definition of instance optimality for differentially private estimation algorithms. Our definition requires an optimal algorithm to compete, simultaneously for every dataset $D$, with the best private benchmark algorithm…

Machine Learning · Computer Science 2024-05-30 Travis Dick , Alex Kulesza , Ziteng Sun , Ananda Theertha Suresh

In the worst-case analysis of algorithms, the overall performance of an algorithm is summarized by its worst performance on any input. This approach has countless success stories, but there are also important computational problems --- like…

Data Structures and Algorithms · Computer Science 2018-06-27 Tim Roughgarden

With this paper, we contribute to the growing research area of feature-based analysis of bio-inspired computing. In this research area, problem instances are classified according to different features of the underlying problem in terms of…

Neural and Evolutionary Computing · Computer Science 2016-02-10 Shayan Poursoltan , Frank Neumann

Some recent pieces of work in the Machine Learning (ML) literature have demonstrated the usefulness of assessing which observations are hardest to have their label predicted accurately. By identifying such instances, one may inspect whether…

Machine Learning · Computer Science 2022-12-06 Gustavo P. Torquette , Victor S. Nunes , Pedro Y. A. Paiva , Lourenço B. C. Neto , Ana C. Lorena

Automated algorithm selection promises to support the user in the decisive task of selecting a most suitable algorithm for a given problem. A common component of these machine-trained techniques are regression models which predict the…

Neural and Evolutionary Computing · Computer Science 2020-06-18 Anja Jankovic , Carola Doerr

Instance-specific algorithm selection (AS) deals with the automatic selection of an algorithm from a fixed set of candidates most suitable for a specific instance of an algorithmic problem class, where "suitability" often refers to an…

Machine Learning · Computer Science 2020-11-18 Alexander Tornede , Marcel Wever , Eyke Hüllermeier

Algorithm-selection (AS) methods are essential in order to obtain the best performance from a portfolio of solvers over large sets of instances. However, many AS methods rely on an analysis phase, e.g. where features are computed by…

Machine Learning · Computer Science 2024-06-26 Quentin Renau , Emma Hart

The performance of many algorithms in the fields of hard combinatorial problem solving, machine learning or AI in general depends on tuned hyperparameter configurations. Automated methods have been proposed to alleviate users from the…

Machine Learning · Computer Science 2019-08-23 André Biedenkapp , H. Furkan Bozkurt , Frank Hutter , Marius Lindauer

Dynamic algorithm selection aims to exploit the complementarity of multiple optimization algorithms by switching between them during the search. While these kinds of dynamic algorithms have been shown to have potential to outperform their…

Artificial Intelligence · Computer Science 2023-02-21 Diederick Vermetten , Hao Wang , Kevin Sim , Emma Hart

Machine learning models are becoming increasingly popular in different types of settings. This is mainly caused by their ability to achieve a level of predictive performance that is hard to match by human experts in this new era of big…

Machine Learning · Computer Science 2021-09-20 Luis Torgo , Paulo Azevedo , Ines Areosa