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We consider the problem of computing a Gaussian approximation to the posterior distribution of a parameter given a large number N of observations and a Gaussian prior, when the dimension of the parameter d is also large. To address this…

数据结构与算法 · 计算机科学 2023-03-28 Marc Lambert , Silvère Bonnabel , Francis Bach

In the first and so far only mathematical runtime analysis of an estimation-of-distribution algorithm (EDA) on a multimodal problem, Hasen\"ohrl and Sutton (GECCO 2018) showed for any $k = o(n)$ that the compact genetic algorithm (cGA) with…

神经与进化计算 · 计算机科学 2021-10-12 Benjamin Doerr

Estimation-of-distribution algorithms (EDAs) are optimization algorithms that learn a distribution on the search space from which good solutions can be sampled easily. A key parameter of most EDAs is the sample size (population size). If…

神经与进化计算 · 计算机科学 2023-11-06 Weijie Zheng , Benjamin Doerr

Tensor networks are a tool first employed in the context of many-body quantum physics that now have a wide range of uses across the computational sciences, from numerical methods to machine learning. Methods integrating tensor networks into…

机器学习 · 计算机科学 2026-04-27 John Gardiner , Javier Lopez-Piqueres

We study the problem of how to distribute the training of large-scale deep learning models in the parallel computing environment. We propose a new distributed stochastic optimization method called Elastic Averaging SGD (EASGD). We analyze…

机器学习 · 计算机科学 2016-05-10 Sixin Zhang

An increasing number of machine learning problems, such as robust or adversarial variants of existing algorithms, require minimizing a loss function that is itself defined as a maximum. Carrying a loop of stochastic gradient ascent (SGA)…

机器学习 · 计算机科学 2021-11-29 Othmane Sebbouh , Marco Cuturi , Gabriel Peyré

The use of copula-based models in EDAs (estimation of distribution algorithms) is currently an active area of research. In this context, the copulaedas package for R provides a platform where EDAs based on copulas can be implemented and…

神经与进化计算 · 计算机科学 2014-07-02 Yasser Gonzalez-Fernandez , Marta Soto

Recent work has shown that standard training via empirical risk minimization (ERM) can produce models that achieve high accuracy on average but low accuracy on underrepresented groups due to the prevalence of spurious features. A…

机器学习 · 计算机科学 2023-05-11 Yachuan Liu , Bohan Zhang , Qiaozhu Mei , Paramveer Dhillon

Various variants of the well known Covariance Matrix Adaptation Evolution Strategy (CMA-ES) have been proposed recently, which improve the empirical performance of the original algorithm by structural modifications. However, in practice it…

神经与进化计算 · 计算机科学 2018-08-20 Sander van Rijn , Hao Wang , Matthijs van Leeuwen , Thomas Bäck

Exploratory Landscape Analysis (ELA) provides numerical features for characterizing black-box optimization problems. In high-dimensional settings, however, ELA suffers from sparsity effects, high estimator variance, and the prohibitive cost…

机器学习 · 计算机科学 2026-04-16 Iván Olarte Rodríguez , Anja Jankovic , Thomas Bäck , Elena Raponi

Stochastic min-max optimization has gained interest in the machine learning community with the advancements in GANs and adversarial training. Although game optimization is fairly well understood in the deterministic setting, some issues…

机器学习 · 计算机科学 2024-03-27 Juan Ramirez , Rohan Sukumaran , Quentin Bertrand , Gauthier Gidel

In many data classification problems, there is no linear relationship between an explanatory and the dependent variables. Instead, there may be ranges of the input variable for which the observed outcome is signficantly more or less likely.…

机器学习 · 计算机科学 2016-04-13 Mallory Sheth , Roy Welsch , Natasha Markuzon

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

最优化与控制 · 数学 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

The aim of this work is studying the use of copulas and vines in the optimization with Estimation of Distribution Algorithms (EDAs). Two EDAs are built around the multivariate product and normal copulas, and other two are based on…

神经与进化计算 · 计算机科学 2015-01-14 Marta Soto , Yasser González-Fernández , Alberto Ochoa

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,…

神经与进化计算 · 计算机科学 2021-10-12 Benjamin Doerr

Loss minimization in distribution networks (DN) is of great significance since the trend to the distributed generation (DG) requires the most efficient operating scenario possible for economic viability variations. Moreover, voltage…

系统与控制 · 电气工程与系统科学 2020-05-25 Ali Parsa Sirat , Hossein Mehdipourpicha , Niloofar Zendehdel , Hamid Mozafari

A reinforcement learning-enhanced genetic algorithm (RLGA) is proposed for wind farm layout optimization (WFLO) problems. While genetic algorithms (GAs) are among the most effective and accessible methods for WFLO, their performance and…

神经与进化计算 · 计算机科学 2024-12-11 Guodan Dong , Jianhua Qin , Chutian Wu , Chang Xu , Xiaolei Yang

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…

神经与进化计算 · 计算机科学 2021-01-18 Nathan Buskulic , Carola Doerr

Evolutionary algorithms (EAs) are population-based metaheuristics, originally inspired by aspects of natural evolution. Modern varieties incorporate a broad mixture of search mechanisms, and tend to blend inspiration from nature with…

神经与进化计算 · 计算机科学 2018-05-29 David W. Corne , Michael A. Lones

Surrogate assisted evolutionary algorithms (EA) are rapidly gaining popularity where applications of EA in complex real world problem domains are concerned. Although EAs are powerful global optimizers, finding optimal solution to complex…

神经与进化计算 · 计算机科学 2013-03-13 Maumita Bhattacharya