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Submodular functions and their optimization have found applications in diverse settings ranging from machine learning and data mining to game theory and economics. In this work, we consider the constrained maximization of a submodular…

数据结构与算法 · 计算机科学 2025-07-15 Moran Feldman , Alan Kuhnle

The development, assessment, and comparison of randomized search algorithms heavily rely on benchmarking. Regarding the domain of constrained optimization, the number of currently available benchmark environments bears no relation to the…

神经与进化计算 · 计算机科学 2018-07-27 Michael Hellwig , Hans-Georg Beyer

Many real-world optimization problems occur in environments that change dynamically or involve stochastic components. Evolutionary algorithms and other bio-inspired algorithms have been widely applied to dynamic and stochastic problems.…

神经与进化计算 · 计算机科学 2020-01-30 Vahid Roostapour , Mojgan Pourhassan , Frank Neumann

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

系统与控制 · 电气工程与系统科学 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters

Mathematical Selection is a method in which we select a particular choice from a set of such. It have always been an interesting field of study for mathematicians. Combinatorial optimisation is the practice of selecting the best constituent…

最优化与控制 · 数学 2024-01-31 Anurag Dutta , K. Lakshmanan , John Harshith , A. Ramamoorthy

We show that many machine learning goals, such as improved fairness metrics, can be expressed as constraints on the model's predictions, which we call rate constraints. We study the problem of training non-convex models subject to these…

机器学习 · 计算机科学 2018-09-13 Andrew Cotter , Heinrich Jiang , Serena Wang , Taman Narayan , Maya Gupta , Seungil You , Karthik Sridharan

The development and identification of effective optimization algorithms for non-convex real-world problems is a challenge in global optimization. Because theoretical performance analysis is difficult, and problems based on models of…

最优化与控制 · 数学 2018-07-16 Ramses Sala , Niccolò Baldanzini , Marco Pierini

We propose a sampling-based trajectory optimization methodology for constrained problems. We extend recent works on stochastic search to deal with box control constraints,as well as nonlinear state constraints for discrete dynamical…

最优化与控制 · 数学 2019-11-13 George I. Boutselis , Ziyi Wang , Evangelos A. Theodorou

Recent advancements in quantum computing and quantum-inspired algorithms have sparked renewed interest in binary optimization. These hardware and software innovations promise to revolutionize solution times for complex problems. In this…

The continuous-time analysis of existing iterative algorithms for optimization has a long history. This work proposes a novel continuous-time control-theoretic framework for equality-constrained optimization. The key idea is to design a…

最优化与控制 · 数学 2026-02-02 V. Cerone , S. M. Fosson , S. Pirrera , D. Regruto

We investigate constrained optimal control problems for linear stochastic dynamical systems evolving in discrete time. We consider minimization of an expected value cost over a finite horizon. Hard constraints are introduced first, and then…

最优化与控制 · 数学 2011-07-07 Eugenio Cinquemani , Mayank Agarwal , Debasish Chatterjee , John Lygeros

We consider chance constrained optimization where it is sought to optimize a function while complying with constraints, both of which are affected by uncertainties. The high computational cost of realistic simulations strongly limits the…

We propose a computational framework for computing low-rank approximations to the ensemble of solutions of a parametrized system of the form $A(\xi)x(\xi)+g(x(\xi))=b(\xi)$ for multiple parameter values. The central idea is to reinterpret…

数值分析 · 数学 2026-04-09 Marco Sutti , Tommaso Vanzan

Optimization-based models have been used to predict cellular behavior for over 25 years. The constraints in these models are derived from genome annotations, measured macro-molecular composition of cells, and by measuring the cell's growth…

Bayesian optimization is a methodology to optimize black-box functions. Traditionally, it focuses on the setting where you can arbitrarily query the search space. However, many real-life problems do not offer this flexibility; in…

This paper addresses the synthesis of reactive systems that enforce hard constraints while optimizing for quality-based soft constraints. We build on recent advancements in combining reactive synthesis with example-based guidance to handle…

形式语言与自动机理论 · 计算机科学 2024-10-14 Jean-François Raskin , Yun Chen Tsai

Evolutionary and bioinspired computation are crucial for efficiently addressing complex optimization problems across diverse application domains. By mimicking processes observed in nature, like evolution itself, these algorithms offer…

神经与进化计算 · 计算机科学 2025-01-14 Daniel Molina , Javier Del Ser , Javier Poyatos , Francisco Herrera

We explore a new general-purpose heuristic for finding high-quality solutions to hard optimization problems. The method, called extremal optimization, is inspired by self-organized criticality, a concept introduced to describe emergent…

统计力学 · 物理学 2009-10-31 S. Boettcher , A. G. Percus

The performance of evolutionary algorithms can be heavily undermined when constraints limit the feasible areas of the search space. For instance, while Covariance Matrix Adaptation Evolution Strategy is one of the most efficient algorithms…

神经与进化计算 · 计算机科学 2018-10-08 A. Maesani , G. Iacca , D. Floreano

Bayesian optimization works effectively optimizing parameters in black-box problems. However, this method did not work for high-dimensional parameters in limited trials. Parameters can be efficiently explored by nonlinearly embedding them…

机器学习 · 计算机科学 2022-06-14 Shoki Miyagawa , Atsuyoshi Yano , Naoko Sawada , Isamu Ogawa