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Understanding when evolutionary algorithms are efficient or not, and how they efficiently solve problems, is one of the central research tasks in evolutionary computation. In this work, we make progress in understanding the interplay…

神经与进化计算 · 计算机科学 2019-04-16 Denis Antipov , Benjamin Doerr , Quentin Yang

We propose a new way to self-adjust the mutation rate in population-based evolutionary algorithms in discrete search spaces. Roughly speaking, it consists of creating half the offspring with a mutation rate that is twice the current…

神经与进化计算 · 计算机科学 2018-05-28 Benjamin Doerr , Christian Gießen , Carsten Witt , Jing Yang

A theoretical performance analysis of the $(\mu/\mu_I,\lambda)$-$\sigma$-Self-Adaptation Evolution Strategy ($\sigma$SA-ES) is presented considering a conically constrained problem. Infeasible offspring are repaired using projection onto…

神经与进化计算 · 计算机科学 2018-12-18 Patrick Spettel , Hans-Georg Beyer

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…

最优化与控制 · 数学 2016-04-29 Marie-Liesse Cauwet , Olivier Teytaud

In clinical trials and other applications, we often see regions of the feature space that appear to exhibit interesting behaviour, but it is unclear whether these observed phenomena are reflected at the population level. Focusing on a…

统计理论 · 数学 2023-09-21 Henry W. J. Reeve , Timothy I. Cannings , Richard J. Samworth

While evolutionary algorithms are known to be very successful for a broad range of applications, the algorithm designer is often left with many algorithmic choices, for example, the size of the population, the mutation rates, and the…

神经与进化计算 · 计算机科学 2015-04-14 Benjamin Doerr , Carola Doerr

Evolutionary algorithms (EAs) are general-purpose optimisers that come with several parameters like the sizes of parent and offspring populations or the mutation rate. It is well known that the performance of EAs may depend drastically on…

神经与进化计算 · 计算机科学 2022-10-13 Mario Alejandro Hevia Fajardo , Dirk Sudholt

We consider learning-based variants of the $c \mu$ rule for scheduling in single and parallel server settings of multi-class queueing systems. In the single server setting, the $c \mu$ rule is known to minimize the expected holding-cost…

性能 · 计算机科学 2018-07-03 Subhashini Krishnasamy , Ari Arapostathis , Ramesh Johari , Sanjay Shakkottai

We analyse the impact of the selective pressure for the global optimisation capabilities of steady-state EAs. For the standard bimodal benchmark function \twomax we rigorously prove that using uniform parent selection leads to exponential…

神经与进化计算 · 计算机科学 2021-03-19 Dogan Corus , Andrei Lissovoi , Pietro S. Oliveto , Carsten Witt

Due to the drastic gap in complexity between sequential and batch statistical learning, recent work has studied a smoothed sequential learning setting, where Nature is constrained to select contexts with density bounded by 1/{\sigma} with…

机器学习 · 统计学 2022-05-27 Adam Block , Max Simchowitz

Despite significant progress in the theory of evolutionary algorithms, the theoretical understanding of evolutionary algorithms which use non-trivial populations remains challenging and only few rigorous results exist. Already for the most…

神经与进化计算 · 计算机科学 2021-09-21 Denis Antipov , Benjamin Doerr

Motivated by the question of the impact of selective advantage in populations with skewed reproduction mechanims, we study a Moran model with selection. We assume that there are two types of individuals, where the reproductive success of…

概率论 · 数学 2024-01-08 Adrián González Casanova , Noemi Kurt , José Luis Pérez

Optimising queries in real-world situations under imperfect conditions is still a problem that has not been fully solved. We consider finding the optimal order in which to execute a given set of selection operators under partial ignorance…

数据库 · 计算机科学 2015-07-30 Khaled H. Alyoubi , Sven Helmer , Peter T. Wood

This paper studies the one-shot behavior of no-regret algorithms for stochastic bandits. Although many algorithms are known to be asymptotically optimal with respect to the expected regret, over a single run, their pseudo-regret seems to…

机器学习 · 计算机科学 2023-12-01 Victor Boone

In this work, we propose a computationally efficient algorithm for the problem of global optimization in univariate loss functions. For the performance evaluation, we study the cumulative regret of the algorithm instead of the simple regret…

机器学习 · 计算机科学 2022-01-19 Kaan Gokcesu , Hakan Gokcesu

We study sorting in the evolving data model, introduced by [AKMU11], where the true total order changes while the sorting algorithm is processing the input. More precisely, each comparison operation of the algorithm is followed by a…

数据结构与算法 · 计算机科学 2024-09-24 George Giakkoupis , Marcos Kiwi , Dimitrios Los

Evolutionary algorithms (EAs) are population-based general-purpose optimization algorithms, and have been successfully applied in various real-world optimization tasks. However, previous theoretical studies often employ EAs with only a…

神经与进化计算 · 计算机科学 2016-06-13 Chao Qian , Yang Yu , Zhi-Hua Zhou

The $(1+(\lambda,\lambda))$ genetic algorithm is a recently proposed single-objective evolutionary algorithm with several interesting properties. We show that its main working principle, mutation with a high rate and crossover as repair…

神经与进化计算 · 计算机科学 2022-10-10 Benjamin Doerr , Omar El Hadri , Adrien Pinard

A fundamental challenge in machine learning is the choice of a loss as it characterizes our learning task, is minimized in the training phase, and serves as an evaluation criterion for estimators. Proper losses are commonly chosen, ensuring…

机器学习 · 统计学 2026-03-04 Han Bao , Asuka Takatsu

Consider the sequential optimization of a continuous, possibly non-convex, and expensive to evaluate objective function $f$. The problem can be cast as a Gaussian Process (GP) bandit where $f$ lives in a reproducing kernel Hilbert space…

机器学习 · 统计学 2021-08-23 Sattar Vakili , Nacime Bouziani , Sepehr Jalali , Alberto Bernacchia , Da-shan Shiu
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