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In statistics, it is common to encounter multi-modal and non-smooth likelihood (or objective function) maximization problems, where the parameters have known upper and lower bounds. This paper proposes a novel derivative-free global…

最优化与控制 · 数学 2023-09-14 Priyam Das

One of the most challenging types of ill-posedness in global optimization is the presence of insensitivity regions in design parameter space, so the identification of their shape will be crucial, if ill-posedness is irrecoverable. Such…

神经与进化计算 · 计算机科学 2019-05-20 Jakub Sawicki , Maciej Smołka , Marcin Łoś , Robert Schaefer

Choosing a suitable deep learning architecture for multimodal data fusion is a challenging task, as it requires the effective integration and processing of diverse data types, each with distinct structures and characteristics. In this…

High dimensional black-box optimization has broad applications but remains a challenging problem to solve. Given a set of samples $\{\vx_i, y_i\}$, building a global model (like Bayesian Optimization (BO)) suffers from the curse of…

机器学习 · 计算机科学 2022-03-15 Linnan Wang , Rodrigo Fonseca , Yuandong Tian

In derivative-free and blackbox optimization, the objective function is often evaluated through the execution of a computer program seen as a blackbox. It can be noisy, in the sense that its outputs are contaminated by random errors.…

最优化与控制 · 数学 2019-11-15 Stéphane Alarie , Charles Audet , Pierre-Yves Bouchet , Sébastien Le Digabel

Optimization of mixed categorical-continuous variables is prevalent in real-world applications of black-box optimization. Recently, CatCMA has been proposed as a method for optimizing such variables and has demonstrated success in…

神经与进化计算 · 计算机科学 2025-04-02 Youhei Akimoto , Xilin Gao , Ze Kai Ng , Daiki Morinaga

We propose a novel constraint-handling technique for the covariance matrix adaptation evolution strategy (CMA-ES). The proposed technique is aimed at solving explicitly constrained black-box continuous optimization problems, in which the…

神经与进化计算 · 计算机科学 2022-05-11 Naoki Sakamoto , Youhei Akimoto

Bayesian Optimization (BO) is a powerful tool for optimizing expensive black-box objective functions. While extensive research has been conducted on the single-objective optimization problem, the multi-objective optimization problem remains…

机器学习 · 计算机科学 2025-10-27 Lam Ngo , Huong Ha , Jeffrey Chan , Hongyu Zhang

In many practical optimization problems, the derivatives of the functions to be optimized are unavailable or unreliable. Such optimization problems are solved using derivative-free optimization techniques. One of the state-of-the-art…

神经与进化计算 · 计算机科学 2018-05-30 Najeeb Khan

Bilinear Matrix Inequalities (BMIs) are fundamental to control system design but are notoriously difficult to solve due to their nonconvexity. This study addresses BMI-based control optimization problems by adapting and integrating advanced…

系统与控制 · 电气工程与系统科学 2026-01-14 Syue-Cian Lin , Wei-Yu Chiu , Chien-Feng Wu

Optimization problems with the objective function in the form of weighted sum and linear equality constraints are considered. Given that the number of local cost functions can be large as well as the number of constraints, a stochastic…

最优化与控制 · 数学 2026-05-26 Nataša Krejić , Nataša Krklec Jerinkić , Sanja Rapajić , Luka Rutešić

This work presents Quantum Adaptive Search (QAGS), a hybrid quantum-classical algorithm for the global optimization of multivariate functions. The method employs an adaptive mechanism that dynamically narrows the search space based on a…

量子物理 · 物理学 2025-06-27 G. Intoccia , U. Chirico , V. Schiano Di Cola , G. Pepe , S. Cuomo

This work provides an efficient sampling method for the covariance matrix adaptation evolution strategy (CMA-ES) in large-scale settings. In contract to the Gaussian sampling in CMA-ES, the proposed method generates mutation vectors from a…

神经与进化计算 · 计算机科学 2022-03-25 Xiaoyu He , Zibin Zheng , Yuren Zhou

The Covariance Matrix Adaptation Evolutionary Strategy (CMA-ES) is one of the most advanced algorithms in numerical black-box optimization. For noisy objective functions, several approaches were proposed to mitigate the noise, e.g.,…

神经与进化计算 · 计算机科学 2025-06-04 Catalin-Viorel Dinu , Yash J. Patel , Xavier Bonet-Monroig , Hao Wang

NOMAD is software for optimizing blackbox problems. In continuous development since 2001, it constantly evolved with the integration of new algorithmic features published in scientific publications. These features are motivated by real…

Black-box policy optimization is a class of reinforcement learning algorithms that explores and updates the policies at the parameter level. This class of algorithms is widely applied in robotics with movement primitives or…

机器学习 · 计算机科学 2022-03-22 Marius Memmel , Puze Liu , Davide Tateo , Jan Peters

Constraint Optimization Problems (COP) pose intricate challenges in combinatorial problems usually addressed through Branch and Bound (B\&B) methods, which involve maintaining priority queues and iteratively selecting branches to search for…

人工智能 · 计算机科学 2023-12-27 Yingkai Xiao , Jingjin Liu , Hankz Hankui Zhuo

We provide simple and fast polynomial time approximation schemes (PTASs) for several variants of the max-sum diversification problem which, in its most basic form, is as follows: Given n points p_1,...,p_n in R^d and an integer k, select k…

数据结构与算法 · 计算机科学 2016-07-18 Alfonso Cevallos , Friedrich Eisenbrand , Rico Zenklusen

Direct Multisearch (DMS) is a Derivative-free Optimization class of algorithms suited for computing approximations to the complete Pareto front of a given Multiobjective Optimization problem. It has a well-supported convergence analysis and…

最优化与控制 · 数学 2021-05-10 S. Tavares , C. P. Brás , A. L. Custódio , V. Duarte , P. Medeiros

Despite the state-of-the-art performance of the covariance matrix adaptation evolution strategy (CMA-ES), high-dimensional black-box optimization problems are challenging tasks. Such problems often involve a property called low effective…

神经与进化计算 · 计算机科学 2024-12-03 Kento Uchida , Teppei Yamaguchi , Shinichi Shirakawa