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The Weighted Constraint Satisfaction Problem (WCSP) framework allows representing and solving problems involving both hard constraints and cost functions. It has been applied to various problems, including resource allocation,…

Artificial Intelligence · Computer Science 2014-01-16 Matthias Zytnicki , Christine Gaspin , Simon de Givry , Thomas Schiex

We are living in an uncertain and dynamically changing world, where optimal decision-making under uncertainty is directly linked to the survival of species. However, evolutionary selection pressures that shape value-based decision-making…

Populations and Evolution · Quantitative Biology 2018-04-04 Erdem Pulcu

Darwinian evolution can be illustrated as an uphill walk in a landscape, where the surface consists of genotypes, the height coordinates represent fitness, and each step corresponds to a point mutation. Epistasis, roughly defined as the…

Quantitative Methods · Quantitative Biology 2013-05-08 Kristina Crona

A model for the evolution of a finite population in a rugged fitness landscape is introduced and solved. The population is trapped in an evolutionary loop, alternating periods of stasis to periods in which it performs adaptive walks. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Luca Peliti

The concept of fitness is introduced, and a simple derivation of the Fundamental Theorem of Natural Selection (which states that the average fitness of a population increases if its variance is nonzero) is given. After a short discussion of…

Condensed Matter · Physics 2008-02-03 Luca Peliti

An instance of the Valued Constraint Satisfaction Problem (VCSP) is given by a finite set of variables, a finite domain of labels, and a sum of functions, each function depending on a subset of the variables. Each function can take finite…

Computational Complexity · Computer Science 2017-02-14 Vladimir Kolmogorov , Andrei Krokhin , Michal Rolinek

We are interested in supporting software evolution caused by changing requirements and/or environmental settings. For example, users of a system may require new functionality (changing requirements), or performance enhancements to cope with…

Software Engineering · Computer Science 2016-07-05 Chi Mai Nguyen , Roberto Sebastiani , Paolo Giorgini , John Mylopoulos

Living systems operate far from equilibrium, yet few general frameworks provide global bounds on biological transients. In high-dimensional biological networks like ecosystems, long transients arise from the separate timescales of…

Biological Physics · Physics 2025-04-15 William Gilpin

Experimental studies on enzyme evolution show that only a small fraction of all possible mutation trajectories are accessible to evolution. However, these experiments deal with individual enzymes and explore a tiny part of the fitness…

Populations and Evolution · Quantitative Biology 2015-05-30 Alexander E. Lobkovsky , Yuri I. Wolf , Eugene V. Koonin

Evolutionary algorithms have been widely applied for solving dynamic constrained optimization problems (DCOPs) as a common area of research in evolutionary optimization. Current benchmarks proposed for testing these problems in the…

Neural and Evolutionary Computing · Computer Science 2019-07-10 Maryam Hasani-Shoreh , María-Yaneli Ameca-Alducin , Wilson Blaikie , Frank Neumann , Marc Schoenauer

On rugged fitness landscapes where sign epistasis is common, adaptation can often involve either individually beneficial "uphill" mutations or more complex mutational trajectories involving fitness valleys or plateaus. The dynamics of the…

Populations and Evolution · Quantitative Biology 2015-10-06 Ian E. Ochs , Michael M. Desai

Planting a solution into the random RB model, which is a prototype of random constraint satisfaction problem (CSP) with growing domains, can generate very hard satisfiable CSP benchmarks. We study the solution space structure of the planted…

Disordered Systems and Neural Networks · Physics 2022-03-14 Wei Xu , Zhe Zhang

This paper describes an extension to the constraint satisfaction problem (CSP) called MUSE CSP (MUltiply SEgmented Constraint Satisfaction Problem). This extension is especially useful for those problems which segment into multiple sets of…

Artificial Intelligence · Computer Science 2014-11-17 R. A Helzerman , M. P. Harper

There is an abundance of empirical evidence in the numerical relativity literature that the form in which the Einstein evolution equations are written plays a significant role in the lifetime of numerical simulations. This paper attempts to…

General Relativity and Quantum Cosmology · Physics 2009-11-10 David R. Fiske

A Valued Constraint Satisfaction Problem (VCSP) provides a common framework that can express a wide range of discrete optimization problems. A VCSP instance is given by a finite set of variables, a finite domain of labels, and an objective…

Computational Complexity · Computer Science 2019-04-23 Vladimir Kolmogorov

Evolutionary computation offers a variety of tools to solve complex real-world optimization problems. However, research often focuses on smaller, simplified problems and optimization algorithms that sometimes miss expectations in real-world…

Coupled natural systems are generally modeled at multiple abstraction levels. Both structural scale and behavioral complexity of these models are determinants in the kinds of questions that can be posed and answered. As scale and complexity…

Computational Engineering, Finance, and Science · Computer Science 2018-07-23 Hessam S. Sarjoughian , William A. Boyd , Miguel F. Acevedo

We discuss an analysis of Constraint Satisfaction problems, such as Sphere Packing, K-SAT and Graph Coloring, in terms of an effective energy landscape. Several intriguing geometrical properties of the solution space become in this light…

Statistical Mechanics · Physics 2007-08-28 Florent Krzakala , Jorge Kurchan

Evolutionary strategies have recently been shown to achieve competing levels of performance for complex optimization problems in reinforcement learning. In such problems, one often needs to optimize an objective function subject to a set of…

Neural and Evolutionary Computing · Computer Science 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

Protein design, a grand challenge of the day, involves optimization on a fitness landscape, and leading methods adopt a model-based approach where a model is trained on a training set (protein sequences and fitness) and proposes candidates…

Machine Learning · Computer Science 2024-07-01 Saba Ghaffari , Ehsan Saleh , Alexander G. Schwing , Yu-Xiong Wang , Martin D. Burke , Saurabh Sinha