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High-dimensional numerical optimization presents a persistent challenge in computational science. This paper introduces Quasi-Adaptive Search with Asymptotic Reinitialization (QUASAR), an evolutionary algorithm to accelerate convergence in…

Optimization and Control · Mathematics 2026-02-03 Julian G. Soltes

Evolution strategies (ES), as a family of black-box optimization algorithms, recently emerge as a scalable alternative to reinforcement learning (RL) approaches such as Q-learning or policy gradient, and are much faster when many central…

Machine Learning · Computer Science 2022-04-01 Zhi Wang , Chunlin Chen , Daoyi Dong

We derive an optimal policy for adaptively restarting a randomized algorithm, based on observed features of the run-so-far, so as to minimize the expected time required for the algorithm to successfully terminate. Given a suitable Bayesian…

Machine Learning · Computer Science 2019-02-25 Matthew Streeter

Restart strategy helps the covariance matrix adaptation evolution strategy (CMA-ES) to increase the probability of finding the global optimum in optimization, while a single run CMA-ES is easy to be trapped in local optima. In this paper,…

Neural and Evolutionary Computing · Computer Science 2020-04-28 Yang Lou , Shiu Yin Yuen , Guanrong Chen , Xin Zhang

Recently it was shown by Nesterov (2011) that techniques form convex optimization can be used to successfully accelerate simple derivative-free randomized optimization methods. The appeal of those schemes lies in their low complexity, which…

Optimization and Control · Mathematics 2014-06-13 Sebastian U. Stich

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing (local) maximum likelihood estimate (MLE). It can be used in an extensive range of problems, including the clustering of data based on the Gaussian…

Machine Learning · Statistics 2023-03-28 Pierre Houdouin , Esa Ollila , Frederic Pascal

In the framework of noisy quantum homodyne tomography with efficiency parameter $1/2 < \eta \leq 1$, we propose a novel estimator of a quantum state whose density matrix elements $\rho_{m,n}$ decrease like $Ce^{-B(m+n)^{r/ 2}}$, for fixed…

Statistics Theory · Mathematics 2014-02-11 P Alquier , K Meziani , G Peyré

In this paper, we study the performance of IPOP-saACM-ES and BIPOP-saACM-ES, recently proposed self-adaptive surrogate-assisted Covariance Matrix Adaptation Evolution Strategies. Both algorithms were tested using restarts till a total…

Neural and Evolutionary Computing · Computer Science 2012-06-26 Ilya Loshchilov , Marc Schoenauer , Michèle Sebag

Randomized experiments are the gold standard for evaluating the effects of changes to real-world systems. Data in these tests may be difficult to collect and outcomes may have high variance, resulting in potentially large measurement error.…

Machine Learning · Statistics 2018-06-27 Benjamin Letham , Brian Karrer , Guilherme Ottoni , Eytan Bakshy

Extremum-seeking control (ESC) is widely used to optimize performance when the system dynamics are uncertain. However, sensitivity to sensor noise is a crucial issue in ESC implementation due to the use of high-pass filters or gradient…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Shashank Verma , Juan Augusto Paredes Salazar , Jhon Manuel Portella Delgado , Ankit Goel , Dennis S. Bernstein

Many studies have been done to prove the vulnerability of neural networks to adversarial example. A trained and well-behaved model can be fooled by a visually imperceptible perturbation, i.e., an originally correctly classified image could…

Computer Vision and Pattern Recognition · Computer Science 2019-06-24 YiGui Luo , RuiJia Yang , Wei Sha , WeiYi Ding , YouTeng Sun , YiSi Wang

Solving optimization problems in which functions are blackboxes and variables involve different types poses significant theoretical and algorithmic challenges. Nevertheless, such settings frequently occur in simulation-based engineering…

Optimization and Control · Mathematics 2025-06-25 Charles Audet , Youssef Diouane , Edward Hallé-Hannan , Sébastien Le Digabel , Christophe Tribes

Global optimization of black-box functions from noisy samples is a fundamental challenge in machine learning and scientific computing. Traditional methods such as Bayesian Optimization often converge to local minima on multi-modal…

Machine Learning · Computer Science 2026-04-07 Qusay Muzaffar , David Levin , Michael Werman

It is known that evolution strategies in continuous domains might not converge in the presence of noise. It is also known that, under mild assumptions, and using an increasing number of resamplings, one can mitigate the effect of additive…

Optimization and Control · Mathematics 2014-04-10 Marie-Liesse Cauwet

We introduce a novel approach for discriminative classification using evolutionary algorithms. We first propose an algorithm to optimize the total loss value using a modified 0-1 loss function in a one-dimensional space for classification.…

Neural and Evolutionary Computing · Computer Science 2018-04-27 Mohammad Reza Bonyadi , David C. Reutens

An adaptive mesh refinement and error estimation method for numerically solving optimal control problems is developed using Legendre-Gauss-Radau direct collocation. In regions of the solution where the desired accuracy tolerance has not…

Optimization and Control · Mathematics 2024-10-11 George V. Haman , Anil V. Rao

The limited memory BFGS method (L-BFGS) of Liu and Nocedal (1989) is often considered to be the method of choice for continuous optimization when first- and/or second- order information is available. However, the use of L-BFGS can be…

Neural and Evolutionary Computing · Computer Science 2015-11-03 Ilya Loshchilov

Sample efficiency is a critical property when optimizing policy parameters for the controller of a robot. In this paper, we evaluate two state-of-the-art policy optimization algorithms. One is a recent deep reinforcement learning method…

Machine Learning · Computer Science 2016-08-23 Arnaud de Froissard de Broissia , Olivier Sigaud

The design of binary error-correcting codes is a challenging optimization problem with several applications in telecommunications and storage, which has also been addressed with metaheuristic techniques and evolutionary algorithms. Still,…

Neural and Evolutionary Computing · Computer Science 2022-11-22 Claude Carlet , Luca Mariot , Luca Manzoni , Stjepan Picek

In this work, we propose a new variant of natural evolution strategies (NES) for high-dimensional black-box optimization problems. The proposed method, CR-FM-NES, extends a recently proposed state-of-the-art NES, Fast Moving Natural…

Neural and Evolutionary Computing · Computer Science 2022-05-10 Masahiro Nomura , Isao Ono