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The frame algorithm uses a simple recursive formula to approximate an unknown vector from its frame coefficients. This note introduces an adaptive version of the frame algorithm that maximizes the error reduction between steps in terms of…

泛函分析 · 数学 2025-06-24 Brody Dylan Johnson

We combine two popular optimization approaches to derive learning algorithms for generative models: variational optimization and evolutionary algorithms. The combination is realized for generative models with discrete latents by using…

机器学习 · 统计学 2022-02-07 Jakob Drefs , Enrico Guiraud , Jörg Lücke

This paper considers the efficient minimization of the infinite time average of a stationary ergodic process in the space of a handful of design parameters which affect it. Problems of this class, derived from physical or numerical…

最优化与控制 · 数学 2019-10-29 Pooriya Beyhaghi , Ryan Alimo , Thomas Bewley

We conduct a first fundamental analysis of the working principles of binary differential evolution (BDE), an optimization heuristic for binary decision variables that was derived by Gong and Tuson (2007) from the very successful classic…

神经与进化计算 · 计算机科学 2019-11-06 Benjamin Doerr , Weijie Zheng

We study the problem of causal structure learning when the experimenter is limited to perform at most $k$ non-adaptive experiments of size $1$. We formulate the problem of finding the best intervention target set as an optimization problem,…

机器学习 · 计算机科学 2018-08-03 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash , Elias Bareinboim

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

Drift theory is an intuitive tool for reasoning about random processes: It allows turning expected stepwise changes into expected first-hitting times. While drift theory is used extensively by the community studying randomized search…

概率论 · 数学 2023-07-07 Andreas Göbel , Timo Kötzing , Martin S. Krejca

We study the properties of a simple greedy algorithm for the generation of data-adapted anisotropic triangulations. Given a function f, the algorithm produces nested triangulations and corresponding piecewise polynomial approximations of f.…

数值分析 · 数学 2012-06-06 Jean-Marie Mirebeau , Albert Cohen

The aim of global optimization is to find the global optimum of arbitrary classes of functions, possibly highly multimodal ones. In this paper we focus on the subproblem of global optimization for differentiable functions and we propose an…

神经与进化计算 · 计算机科学 2018-06-18 Louis Faury , Flavian Vasile , Clément Calauzènes , Olivier Fercoq

Online learning algorithms, widely used to power search and content optimization on the web, must balance exploration and exploitation, potentially sacrificing the experience of current users in order to gain information that will lead to…

机器学习 · 计算机科学 2021-12-28 Manish Raghavan , Aleksandrs Slivkins , Jennifer Wortman Vaughan , Zhiwei Steven Wu

The lack of diversity in a genetic algorithm's population may lead to a bad performance of the genetic operators since there is not an equilibrium between exploration and exploitation. In those cases, genetic algorithms present a fast and…

人工智能 · 计算机科学 2017-02-14 Andrés Herrera-Poyatos , Francisco Herrera

In this paper we propose a crossover operator for evolutionary algorithms with real values that is based on the statistical theory of population distributions. The operator is based on the theoretical distribution of the values of the genes…

神经与进化计算 · 计算机科学 2011-09-13 N. García-Pedrajas , C. Hervás-Martínez , D. Ortiz-Boyer

We introduce and study the problem of dueling optimization with a monotone adversary, which is a generalization of (noiseless) dueling convex optimization. The goal is to design an online algorithm to find a minimizer $\mathbf{x}^{*}$ for a…

数据结构与算法 · 计算机科学 2023-11-21 Avrim Blum , Meghal Gupta , Gene Li , Naren Sarayu Manoj , Aadirupa Saha , Yuanyuan Yang

Stochastic Boolean Function Evaluation is the problem of determining the value of a given Boolean function f on an unknown input x, when each bit of x_i of x can only be determined by paying an associated cost c_i. The assumption is that x…

数据结构与算法 · 计算机科学 2013-08-12 Amol Deshpande , Lisa Hellerstein , Devorah Kletenik

Chance constrained optimization problems allow to model problems where constraints involving stochastic components should only be violated with a small probability. Evolutionary algorithms have been applied to this scenario and shown to…

神经与进化计算 · 计算机科学 2024-08-23 Frank Neumann , Carsten Witt

Recent works have shown that gradient-update alignment is a powerful signal for modulating optimizer updates, often leading to faster training. We promote this update-wise heuristic as a mathematically grounded principle for selecting and…

机器学习 · 计算机科学 2026-05-08 Jaerin Lee , Kyoung Mu Lee

In recent decades, cold atom experiments have become increasingly complex. While computers control most parameters, optimization is mostly done manually. This is a time-consuming task for a high-dimensional parameter space with unknown…

量子物理 · 物理学 2013-09-03 I. Geisel , K. Cordes , J. Mahnke , S. Jöllenbeck , J. Ostermann , J. Arlt , W. Ertmer , C. Klempt

Although quantum control typically relies on greedy (local) optimization, traps (irregular critical points) in the control landscape can make optimization hard by foiling local search strategies. We demonstrate the failure of greedy…

量子物理 · 物理学 2014-09-17 Ehsan Zahedinejad , Sophie Schirmer , Barry C. Sanders

Several sparsity-constrained algorithms such as Orthogonal Matching Pursuit or the Frank-Wolfe algorithm with sparsity constraints work by iteratively selecting a novel atom to add to the current non-zero set of variables. This selection…

机器学习 · 计算机科学 2016-08-23 A Rakotomamonjy , S Koço , Liva Ralaivola

In this paper we consider the binary transfer learning problem, focusing on how to select and combine sources from a large pool to yield a good performance on a target task. Constraining our scenario to real world, we do not assume the…

计算机视觉与模式识别 · 计算机科学 2016-09-16 Ilja Kuzborskij , Francesco Orabona , Barbara Caputo