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Boolean Satisfiability (SAT) problems are expressed as mathematical formulas. This paper presents a matrix representation for these SAT problems. It shows how to use this matrix representation to get the full set of valid satisfying…

Computational Complexity · Computer Science 2025-05-20 Paul W. Homer

Multi-task learning (MTL), which aims to improve performance by learning multiple tasks simultaneously, inherently presents an optimization challenge due to multiple objectives. Hence, multi-objective optimization (MOO) approaches have been…

Artificial Intelligence · Computer Science 2021-10-08 Simyung Chang , KiYoon Yoo , Jiho Jang , Nojun Kwak

Reviewing the previous work of diversity Rein-forcement Learning,diversity is often obtained via an augmented loss function,which requires a balance between reward and diversity.Generally,diversity optimization algorithms use Multi-armed…

Machine Learning · Computer Science 2024-03-19 Jingcheng Jiang , Haiyin Piao , Yu Fu , Yihang Hao , Chuanlu Jiang , Ziqi Wei , Xin Yang

Quality Diversity (QD) has emerged as a powerful alternative optimization paradigm that aims at generating large and diverse collections of solutions, notably with its flagship algorithm MAP-ELITES (ME) which evolves solutions through…

Neural and Evolutionary Computing · Computer Science 2023-06-16 Thomas Pierrot , Arthur Flajolet

Boolean Satisfiability problems are vital components in Electronic Design Automation, particularly within the Logic Equivalence Checking process. Currently, SAT solvers are employed for these problems and neural network is tried as…

Artificial Intelligence · Computer Science 2024-03-07 Tsz Ho Chan , Wenyi Xiao , Junhua Huang , Huiling Zhen , Guangji Tian , Mingxuan Yuan

When solving a combinatorial problem using propositional satisfiability (SAT), the encoding of the problem is of vital importance. We study encodings of Pseudo-Boolean (PB) constraints, a common type of arithmetic constraint that appears in…

Artificial Intelligence · Computer Science 2021-10-18 Miquel Bofill , Jordi Coll , Peter Nightingale , Josep Suy , Felix Ulrich-Oltean , Mateu Villaret

The Boolean satisfiability problem (SAT) holds a central place in computational complexity theory as the first shown NP-complete problem. Due to this role, SAT is often used as the benchmark for polynomial-time reductions: if a problem can…

Logic in Computer Science · Computer Science 2025-10-21 Yumiko Nishiyama

Many combinatorial optimization problems entail a number of hierarchically dependent optimization problems. An often used solution is to associate a suitably large cost with each individual optimization problem, such that the solution of…

Logic in Computer Science · Computer Science 2009-04-02 Josep Argelich , Ines Lynce , Joao Marques-Silva

The evolutionary diversity optimization aims at finding a diverse set of solutions which satisfy some constraint on their fitness. In the context of multi-objective optimization this constraint can require solutions to be Pareto-optimal. In…

Neural and Evolutionary Computing · Computer Science 2023-07-17 Denis Antipov , Aneta Neumann , Frank Neumann

In general Evolutionary Computation (EC) includes a number of optimization methods inspired by biological mechanisms of evolution. The methods catalogued in this area use the Darwinian principles of life evolution to produce algorithms that…

Artificial Intelligence · Computer Science 2012-04-11 José A. García Gutiérrez , Carlos Cotta , Antonio J. Fernández-Leiva

Managing the software complexity of package-based systems can be regarded as one of the main challenges in software architectures. Upgrades are required on a short time basis and systems are expected to be reliable and consistent after…

Logic in Computer Science · Computer Science 2010-07-08 Josep Argelich , Daniel Le Berre , Inês Lynce , Joao Marques-Silva , Pascal Rapicault

Evolutionary algorithms (EAs), a large class of general purpose optimization algorithms inspired from the natural phenomena, are widely used in various industrial optimizations and often show excellent performance. This paper presents an…

Neural and Evolutionary Computing · Computer Science 2014-04-14 Yang Yu , Hong Qian

Evolutionary diversity optimization aims to compute a diverse set of solutions where all solutions meet a given quality criterion. With this paper, we bridge the areas of evolutionary diversity optimization and evolutionary multi-objective…

Neural and Evolutionary Computing · Computer Science 2018-11-19 Aneta Neumann , Wanru Gao , Markus Wagner , Frank Neumann

The Boolean satisfiability problem (SAT) can be solved efficiently with variants of the DPLL algorithm. For industrial SAT problems, DPLL with conflict analysis dependent dynamic decision heuristics has proved to be particularly efficient,…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Raihan H. Kibria

Multitasking optimization is an emerging research field which has attracted lot of attention in the scientific community. The main purpose of this paradigm is how to solve multiple optimization problems or tasks simultaneously by conducting…

Neural and Evolutionary Computing · Computer Science 2020-06-30 Eneko Osaba , Javier Del Ser , Xin-She Yang , Andres Iglesias , Akemi Galvez

Although real-coded differential evolution (DE) algorithms can perform well on continuous optimization problems (CoOPs), it is still a challenging task to design an efficient binary-coded DE algorithm. Inspired by the learning mechanism of…

Neural and Evolutionary Computing · Computer Science 2014-05-13 Yu Chen , Weicheng Xie , Xiufen Zou

Designing optimal soft modular robots is difficult, due to non-trivial interactions between morphology and controller. Evolutionary algorithms (EAs), combined with physical simulators, represent a valid tool to overcome this issue. In this…

Robotics · Computer Science 2021-04-27 Enrico Zardini , Davide Zappetti , Davide Zambrano , Giovanni Iacca , Dario Floreano

The study explores the optimization of evolutionary solver parameters for minimizing total tardiness in single machine scheduling, an NP-hard problem with zero ready times included. It investigates various parameter combinations, including…

Computational Engineering, Finance, and Science · Computer Science 2024-03-29 Mohammed Alromema , Mohammed A. Makarem

Evolutionary Algorithms (EAs) and other randomized search heuristics are often considered as unbiased algorithms that are invariant with respect to different transformations of the underlying search space. However, if a certain amount of…

Neural and Evolutionary Computing · Computer Science 2020-10-26 Amirhossein Rajabi , Carsten Witt

Evolutionary algorithms (EAs) are population-based metaheuristics, originally inspired by aspects of natural evolution. Modern varieties incorporate a broad mixture of search mechanisms, and tend to blend inspiration from nature with…

Neural and Evolutionary Computing · Computer Science 2018-05-29 David W. Corne , Michael A. Lones