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Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

Optimization and Control · Mathematics 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

A very simple example of an algorithmic problem solvable by dynamic programming is to maximize, over sets A in {1,2,...,n}, the objective function |A| - \sum_i \xi_i 1(i \in A,i+1 \in A) for given \xi_i > 0. This problem, with random…

Probability · Mathematics 2007-10-04 David J. Aldous , Charles Bordenave , Marc Lelarge

Differential Evolution (DE) is quite powerful for real parameter single objective optimization. However, the ability of extending or changing search area when falling into a local optimum is still required to be developed in DE for…

Artificial Intelligence · Computer Science 2020-03-03 Chengjun Li , Yang Li

We present a new method of blackbox optimization via gradient approximation with the use of structured random orthogonal matrices, providing more accurate estimators than baselines and with provable theoretical guarantees. We show that this…

Machine Learning · Computer Science 2018-06-13 Krzysztof Choromanski , Mark Rowland , Vikas Sindhwani , Richard E. Turner , Adrian Weller

The Hybrid Genetic Optimisation framework (HYGO) is introduced to meet the pressing need for efficient and unified optimisation frameworks that support both parametric and functional learning in complex engineering problems. Evolutionary…

Neural and Evolutionary Computing · Computer Science 2026-02-10 Isaac Robledo , Yiqing Li , Guy Y. Cornejo Maceda , Rodrigo Castellanos

Submodular maximization is a general optimization problem with a wide range of applications in machine learning (e.g., active learning, clustering, and feature selection). In large-scale optimization, the parallel running time of an…

Data Structures and Algorithms · Computer Science 2023-04-11 Matthew Fahrbach , Vahab Mirrokni , Morteza Zadimoghaddam

In [1], we have explored the theoretical aspects of feature selection and evolutionary algorithms. In this chapter, we focus on optimization algorithms for enhancing data analytic process, i.e., we propose to explore applications of…

Machine Learning · Computer Science 2019-08-26 Farid Ghareh Mohammadi , M. Hadi Amini , Hamid R. Arabnia

Constrained multi-objective optimization problems (CMOPs) pervade real-world applications in science, engineering, and design. Constraint violation has been a building block in designing evolutionary multi-objective optimization algorithms…

Neural and Evolutionary Computing · Computer Science 2024-01-03 Shuang Li , Ke Li , Wei Li , Ming Yang

The possibility to use competitive evolutionary algorithms to generate long-term progress is normally prevented by the convergence on limit cycle dynamics in which the evolving agents keep progressing against their current competitors by…

Neural and Evolutionary Computing · Computer Science 2020-05-26 Luca Simione , Stefano Nolfi

Heuristic optimisers which search for an optimal configuration of variables relative to an objective function often get stuck in local optima where the algorithm is unable to find further improvement. The standard approach to circumvent…

Machine Learning · Statistics 2015-12-10 Ilia Zintchenko , Matthew Hastings , Nathan Wiebe , Ethan Brown , Matthias Troyer

Constrained submodular optimization problems play a key role in the area of combinatorial optimization as they capture many NP-hard optimization problems. So far, Pareto optimization approaches using multi-objective formulations have been…

Neural and Evolutionary Computing · Computer Science 2024-06-21 Frank Neumann , Günter Rudolph

In many clustering scenes, data samples' attribute values change over time. For such data, we are often interested in obtaining a partition for each time step and tracking the dynamic change of partitions. Normally, a smooth change is…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Qi Zhao , Bai Yan , Yuhui Shi

The problem of optimizing over random structures emerges in many areas of science and engineering, ranging from statistical physics to machine learning and artificial intelligence. For many such structures finding optimal solutions by means…

Computational Complexity · Computer Science 2022-10-12 David Gamarnik

Feature subsampling is a core component of random forests and other ensemble methods. While recent theory suggests that this randomization acts solely as a variance reduction mechanism analogous to ridge regularization, these results…

Machine Learning · Statistics 2026-01-06 Xin Chen , Jason M. Klusowski , Yan Shuo Tan , Chang Yu

The $(1 + (\lambda,\lambda))$ genetic algorithm is a younger evolutionary algorithm trying to profit also from inferior solutions. Rigorous runtime analyses on unimodal fitness functions showed that it can indeed be faster than classical…

Neural and Evolutionary Computing · Computer Science 2022-06-17 Denis Antipov , Benjamin Doerr , Vitalii Karavaev

In many real-world optimization problems, the objective function evaluation is subject to noise, and we cannot obtain the exact objective value. Evolutionary algorithms (EAs), a type of general-purpose randomized optimization algorithm,…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Chao Qian , Chao Bian , Wu Jiang , Ke Tang

It may seem very intuitive that for the maximization of the OneMax problem $\OM(x):=\sum_{i=1}^n{x_i}$ the best that an elitist unary unbiased search algorithm can do is to store a best so far solution, and to modify it with the operator…

Neural and Evolutionary Computing · Computer Science 2021-01-18 Nathan Buskulic , Carola Doerr

The population-based optimization algorithms have provided promising results in feature selection problems. However, the main challenges are high time complexity. Moreover, the interaction between features is another big challenge in FS…

Neural and Evolutionary Computing · Computer Science 2021-10-26 Motahare Namakin , Modjtaba Rouhani , Mostafa Sabzekar

We argue that proven exponential upper bounds on runtimes, an established area in classic algorithms, are interesting also in heuristic search and we prove several such results. We show that any of the algorithms randomized local search,…

Neural and Evolutionary Computing · Computer Science 2021-10-12 Benjamin Doerr

Software model optimization is a process that automatically generates design alternatives aimed at improving quantifiable non-functional properties of software systems, such as performance and reliability. Multi-objective evolutionary…

Software Engineering · Computer Science 2025-11-04 J. Andres Diaz-Pace , Daniele Di Pompeo , Michele Tucci