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Optimization plays a significant role in many areas of science and technology. Most of the industrial optimization problems have inordinately complex structures that render finding their global minima a daunting task. Therefore, designing…

Disordered Systems and Neural Networks · Physics 2021-09-09 Amin Barzegar , Anuj Kankani , Salvatore Mandrà , Helmut G. Katzgraber

A geometric setup for constrained variational calculus is presented. The analysis deals with the study of the extremals of an action functional defined on piecewise differentiable curves, subject to differentiable, non-holonomic…

Mathematical Physics · Physics 2015-05-08 Enrico Massa , Danilo Bruno , Gianvittorio Luria , Enrico Pagani

This review paper surveys recent development in software implementations for extreme value analyses since the publication of Stephenson and Gilleland (2006) and Gilleland et al. (2013), here with a focus on numerical challenges. We provide…

Computation · Statistics 2022-05-17 Léo R. Belzile , Christophe Dutang , Paul J. Northrop , Thomas Opitz

We describe a genetic algorithm to find extreme examples in the arithmetic of dynamical systems. The algorithm is applied to four problems: small (non-zero) canonical heights, many rational preperiodic points, long rational cycles, and long…

Dynamical Systems · Mathematics 2026-05-06 Benjamin Hutz

Optimizations in a traditional compiler are applied sequentially, with each optimization destructively modifying the program to produce a transformed program that is then passed to the next optimization. We present a new approach for…

Programming Languages · Computer Science 2015-07-01 Ross Tate , Michael Stepp , Zachary Tatlock , Sorin Lerner

A sketch of the chapter appearing under the same heading in the book ``New Optimization Algorithms in Physics'' (A.K. Hartmann and H. Rieger, Eds.) is given. After a general introduction to spin glasses, important aspects of heuristic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Olivier C. Martin

Motivated by the results of recent laboratory experiments (Yoshida et al. Nature, 424, 303-306 (2003)) as well as many earlier field observations that evolutionary changes can take place in ecosystems over relatively short ecological time…

Populations and Evolution · Quantitative Biology 2007-05-23 Debashish Chowdhury , Dietrich Stauffer

A fundamental question in the conjunction of information theory, biophysics, bioinformatics and thermodynamics relates to the principles and processes that guide the development of natural intelligence in natural environments where…

Neural and Evolutionary Computing · Computer Science 2024-12-31 Serge Dolgikh

It is well-known that proper scaling can increase the efficiency of computational problems. In this paper we define and show that a balancing technique can substantially improve the computational efficiency of optimal control algorithms. We…

Optimization and Control · Mathematics 2018-10-29 I. M. Ross , Q. Gong , M. Karpenko , R. J. Proulx

Our aim is to explain mathematical programs with equilibrium constraints (MPECs), motivate them through applications, present the main equivalent formulations of equilibrium constraints, and summarize the basic existence theory for optimal…

Optimization and Control · Mathematics 2026-05-04 Louis Shuo Wang

Evolutionary computing (EC) is an exciting development in Computer Science. It amounts to building, applying and studying algorithms based on the Darwinian principles of natural selection. In this paper we briefly introduce the main…

Artificial Intelligence · Computer Science 2007-05-23 Aguston E. Eiben , Marc Schoenauer

Estimating the probability of failures or accidents with aerospace systems is often necessary when new concepts or designs are introduced, as it is being done for Autonomous Aircraft. If the design is safe, as it is supposed to be, accident…

Applications · Statistics 2018-08-10 Ítalo Romani de Oliveira , Jeffery Musiak

This article is a review of analytical performance modeling for computer systems. It discusses the motivation for this area of research, examines key issues, introduces some ideas, illustrates how it is applied, and points out a role that…

Performance · Computer Science 2020-05-28 Y. C. Tay

Existing extremum-seeking control (ESC) approaches typically rely on applying repeated perturbations to input parameters and performing measurements of the corresponding performance output. The required separation between the different…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Wouter Weekers , Alessandro Saccon , Nathan van de Wouw

This paper reviews recent advances in the field of optimization under uncertainty via a modern data lens, highlights key research challenges and promise of data-driven optimization that organically integrates machine learning and…

Machine Learning · Computer Science 2019-04-16 Chao Ning , Fengqi You

Extreme value statistics is the max analogue of classical statistics, while tropical geometry is the max analogue of classical geometry. In this paper, we review recent work where insights from tropical geometry were used to develop new,…

Statistics Theory · Mathematics 2022-07-22 Ngoc M Tran

With increased access to data and the advent of computers, the use of statistical tools and numerical simulations is becoming commonplace for ecologists. These approaches help improve our understanding of ecological phenomena and their…

Other Quantitative Biology · Quantitative Biology 2025-04-08 Maxime Clenet , Maxime Dion , F. Guillaume Blanchet

We argue that results produced by a heuristic optimisation algorithm cannot be considered reproducible unless the algorithm fully specifies what should be done with solutions generated outside the domain, even in the case of simple box…

Neural and Evolutionary Computing · Computer Science 2023-05-18 Anna V. Kononova , Diederick Vermetten , Fabio Caraffini , Madalina-A. Mitran , Daniela Zaharie

Metaheuristic algorithms are becoming an important part of modern optimization. A wide range of metaheuristic algorithms have emerged over the last two decades, and many metaheuristics such as particle swarm optimization are becoming…

Optimization and Control · Mathematics 2012-12-04 Xin-She Yang

Quantum Annealing, or Quantum Stochastic Optimization, is a classical randomized algorithm which provides good heuristics for the solution of hard optimization problems. The algorithm, suggested by the behaviour of quantum systems, is an…

Quantum Physics · Physics 2011-07-06 Diego de Falco , Dario Tamascelli