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Distributionally robust optimization (DRO) is an effective framework for controlling real-world systems with various uncertainties, typically modeled using distributional uncertainty balls. However, DRO problems often involve infinitely…

Optimization and Control · Mathematics 2025-10-22 Yuma Shida , Yuji Ito

Typical dimension reduction techniques for nonoverlapping sparse optimization involve screening or sieving strategies based on a dual certificate derived from the first-order optimality condition, approximating the gradients or exploiting…

Optimization and Control · Mathematics 2026-01-29 Yifan Bai , Clarice Poon , Jingwei Liang

Derivative Free Optimization is known to be an efficient and robust method to tackle the black-box optimization problem. When it comes to noisy functions, classical comparison-based algorithms are slower than gradient-based algorithms. For…

Optimization and Control · Mathematics 2016-04-29 Marie-Liesse Cauwet , Olivier Teytaud

First-order methods for stochastic optimization have undeniable relevance, in part due to their pivotal role in machine learning. Variance reduction for these algorithms has become an important research topic. In contrast to common…

Machine Learning · Computer Science 2021-09-08 Manuel Madeira , Renato Negrinho , João Xavier , Pedro M. Q. Aguiar

The NSGA-II is the most prominent multi-objective evolutionary algorithm (cited more than 50,000 times). Very recently, a mathematical runtime analysis has proven that this algorithm can have enormous difficulties when the number of…

Neural and Evolutionary Computing · Computer Science 2024-11-18 Benjamin Doerr , Dimitri Korkotashvili , Martin S. Krejca

Recently surrogate functions based on the tail inequalities were developed to evaluate the chance constraints in the context of evolutionary computation and several Pareto optimization algorithms using these surrogates were successfully…

Artificial Intelligence · Computer Science 2024-04-19 Xiankun Yan , Aneta Neumann , Frank Neumann

Standard regression methods typically optimize a single pointwise objective, such as mean squared error, which conflates the learning of ordering with the learning of scale. This coupling renders models vulnerable to outliers and…

Methodology · Statistics 2026-02-24 Harri Vanhems , Yue Zhao , Peng Shi , Archer Y. Yang

Several fundamental problems in science and engineering consist of global optimization tasks involving unknown high-dimensional (black-box) functions that map a set of controllable variables to the outcomes of an expensive experiment.…

Machine Learning · Computer Science 2023-09-15 Mohamed Aziz Bhouri , Michael Joly , Robert Yu , Soumalya Sarkar , Paris Perdikaris

In this paper, we introduce a framework for contextual distributionally robust optimization (DRO) that considers the causal and continuous structure of the underlying distribution by developing interpretable and tractable decision rules…

Machine Learning · Statistics 2026-04-03 Fenglin Zhang , Jie Wang

Despite many successful applications, Cartesian Genetic Programming (CGP) suffers from limited scalability, especially when used for evolutionary circuit design. Considering the multiplier design problem, for example, the 5x5-bit multiplier…

Neural and Evolutionary Computing · Computer Science 2020-04-24 David Hodan , Vojtech Mrazek , Zdenek Vasicek

Identifying cause-effect relations among variables is a key step in the decision-making process. While causal inference requires randomized experiments, researchers and policymakers are increasingly using observational studies to test…

Optimization and Control · Mathematics 2021-11-22 Md Saiful Islam , Md Sarowar Morshed , Md. Noor-E-Alam

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

With the advent of multi-core processors, network-on-chip design has been key in addressing network performances, such as bandwidth, power consumption, and communication delays when dealing with on-chip communication between the increasing…

Emerging Technologies · Computer Science 2018-08-01 Tzyy-Juin Kao , Wolfgang Fink

Quantum approximate optimization is one of the promising candidates for useful quantum computation, particularly in the context of finding approximate solutions to Quadratic Unconstrained Binary Optimization (QUBO) problems. However, the…

The contrast performance of current eXtreme Adaptive Optics (XAO) systems can be improved by adding a second AO correction stage featuring its own wavefront sensor, deformable mirror, and real-time controller. We develop a dynamical model…

Instrumentation and Methods for Astrophysics · Physics 2022-01-28 Nelly Cerpa-Urra , Markus Kasper , Caroline Kulcsár , Henri-François Raynaud , Cedric Taïssir Heritier

High-level autonomous driving requires motion planners capable of modeling multimodal future uncertainties while remaining robust in closed-loop interactions. Although diffusion-based planners are effective at modeling complex trajectory…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Hao Gao , Shaoyu Chen , Yifan Zhu , Yuehao Song , Wenyu Liu , Qian Zhang , Xinggang Wang

Pareto optimality is capable of striking the optimal trade-off amongst the diverse conflicting QoS requirements of routing in wireless multihop networks. However, this comes at the cost of increased complexity owing to searching through the…

We study the Constrained Convex Markov Decision Process (MDP), where the goal is to minimize a convex functional of the visitation measure, subject to a convex constraint. Designing algorithms for a constrained convex MDP faces several…

Machine Learning · Computer Science 2024-02-19 Zihao Li , Boyi Liu , Zhuoran Yang , Zhaoran Wang , Mengdi Wang

Causal Bayesian Optimization (CBO) is a methodology designed to optimize an outcome variable by leveraging known causal relationships through targeted interventions. Traditional CBO methods require a fully and accurately specified causal…

Machine Learning · Statistics 2025-03-26 Jean Durand , Yashas Annadani , Stefan Bauer , Sonali Parbhoo

It has been shown that dimension reduction methods such as PCA may be inherently prone to unfairness and treat data from different sensitive groups such as race, color, sex, etc., unfairly. In pursuit of fairness-enhancing dimensionality…

Machine Learning · Computer Science 2020-03-10 Mohammad Mahdi Kamani , Farzin Haddadpour , Rana Forsati , Mehrdad Mahdavi