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In all but the most trivial optimization problems, the structure of the solutions exhibit complex interdependencies between the input parameters. Decades of research with stochastic search techniques has shown the benefit of explicitly…

Neural and Evolutionary Computing · Computer Science 2017-03-23 Shumeet Baluja

In this study we address existing deficiencies in the literature on applications of Particle Swarm Optimization to generate optimal designs. We present the results of a large computer study in which we bench-mark both efficiency and…

Neural and Evolutionary Computing · Computer Science 2022-06-15 Stephen J. Walsh , John J. Borkowski

High-dimensional simulation optimization is notoriously challenging. We propose a new sampling algorithm that converges to a global optimal solution and suffers minimally from the curse of dimensionality. The algorithm consists of two…

Machine Learning · Statistics 2021-07-21 Liang Ding , Rui Tuo , Xiaowei Zhang

Parameter fitting of data to a proposed equation almost always consider these parameters as independent variables. Here, the method proposed optimizes an arbitrary number of variables by the minimization of a function of a single variable.…

Chemical Physics · Physics 2010-06-15 Christopher G. Jesudason

Optimizing decision problems under uncertainty can be done using a variety of solution methods. Soft computing and heuristic approaches tend to be powerful for solving such problems. In this overview article, we survey Evolutionary…

Neural and Evolutionary Computing · Computer Science 2014-01-21 Ronald Hochreiter

The range of applications of traditional optimization methods are limited by the features of the object variables, and of both the objective and the constraint functions. In contrast, population-based algorithms whose optimization…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Mauro S. Innocente , Johann Sienz

Optimal control problems can be solved via a one-shot (single) optimization or a sequence of optimization using dynamic programming (DP). However, the computation of their global optima often faces NP-hardness, and thus only locally optimal…

Optimization and Control · Mathematics 2024-09-04 Jihun Kim , Yuhao Ding , Yingjie Bi , Javad Lavaei

Optimization is fundamental in many areas of science, from computer science and information theory to engineering and statistical physics, as well as to biology or social sciences. It typically involves a large number of variables and a…

Statistical Mechanics · Physics 2009-07-08 Lenka Zdeborová

We consider the optimization of an uncertain objective over continuous and multi-dimensional decision spaces in problems in which we are only provided with observational data. We propose a novel algorithmic framework that is tractable,…

Machine Learning · Statistics 2018-10-30 Dimitris Bertsimas , Christopher McCord

We typically construct optimal designs based on a single objective function. To better capture the breadth of an experiment's goals, we could instead construct a multiple objective optimal design based on multiple objective functions. While…

Methodology · Statistics 2023-03-09 Lucy L. Gao , Jane J. Ye , Shangzhi Zeng , Julie Zhou

In robust optimization, we would like to find a solution that is immunized against all scenarios that are modeled in an uncertainty set. Which scenarios to include in such a set is therefore of central importance for the tractability of the…

Optimization and Control · Mathematics 2024-10-14 Jamie Fairbrother , Marc Goerigk , Mohammad Khosravi

Real-time data-driven optimization and control problems over networks may require sensitive information of participating users to calculate solutions and decision variables, such as in traffic or energy systems. Adversaries with access to…

Optimization and Control · Mathematics 2020-05-25 Roel Dobbe , Ye Pu , Jingge Zhu , Kannan Ramchandran , Claire Tomlin

The topic of learning to solve optimization problems has received interest from both the operations research and machine learning communities. In this work, we combine techniques from both fields to address the problem of learning to…

Machine Learning · Computer Science 2022-04-25 Aaron Babier , Timothy C. Y. Chan , Adam Diamant , Rafid Mahmood

We present the viewpoint that optimization problems encountered in machine learning can often be interpreted as minimizing a convex functional over a function space, but with a non-convex constraint set introduced by model parameterization.…

Machine Learning · Computer Science 2020-04-21 Yongqiang Cai , Qianxiao Li , Zuowei Shen

Toward a multi-objective optimization robust problem, the variations in design variables and design environment pa-rameters include the small variations and the large varia-tions. The former have small effect on the performance func-tions…

Optimization and Control · Mathematics 2014-12-04 Weijun Wang , Stéphane Caro , Fouad Bennis , Ricardo Soto , Broderick Crawford

In this paper, we study a fixed-confidence, fixed-tolerance formulation of a class of stochastic bi-level optimization problems, where the upper-level problem selects from a finite set of systems based on a performance metric, and the…

Optimization and Control · Mathematics 2025-01-20 Yuhao Wang , Seong-Hee Kim , Enlu Zhou

Optimization problems are crucial in artificial intelligence. Optimization algorithms are generally used to adjust the performance of artificial intelligence models to minimize the error of mapping inputs to outputs. Current evaluation…

Artificial Intelligence · Computer Science 2021-11-23 Zhicheng He

Optimisation algorithms are commonly compared on benchmarks to get insight into performance differences. However, it is not clear how closely benchmarks match the properties of real-world problems because these properties are largely…

Neural and Evolutionary Computing · Computer Science 2021-07-15 Koen van der Blom , Timo M. Deist , Vanessa Volz , Mariapia Marchi , Yusuke Nojima , Boris Naujoks , Akira Oyama , Tea Tušar

Machine learning assumes a pivotal role in our data-driven world. The increasing scale of models and datasets necessitates quick and reliable algorithms for model training. This dissertation investigates adaptivity in machine learning…

Machine Learning · Computer Science 2023-11-20 Slavomír Hanzely

When looking for a solution, deterministic methods have the enormous advantage that they do find global optima. Unfortunately, they are very CPU-intensive, and are useless on untractable NP-hard problems that would require thousands of…

Neural and Evolutionary Computing · Computer Science 2011-12-20 Pierre Collet , Jean-Philippe Rennard
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