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We show that single-digit "Nishio" subproblems in nxn Sudoku puzzles may be solved in time o(2^n), faster than previous solutions such as the pattern overlay method. We also show that single-digit deduction in Sudoku is NP-hard.

Data Structures and Algorithms · Computer Science 2012-03-06 David Eppstein

Context. Mathematical optimization can be used as a computational tool to obtain the optimal solution to a given problem in a systematic and efficient way. For example, in twice-differentiable functions and problems with no constraints, the…

Instrumentation and Methods for Astrophysics · Physics 2009-05-25 J. Canto , S. Curiel , E. Martinez-Gomez

Ensemble-based methods are highly popular approaches that increase the accuracy of a decision by aggregating the opinions of individual voters. The common point is to maximize accuracy; however, a natural limitation occurs if incremental…

Machine Learning · Computer Science 2020-04-20 Andras Hajdu , Gyorgy Terdik , Attila Tiba , Henrietta Toman

We present a new and more efficient technique for computing the route that maximizes the probability of on-time arrival in stochastic networks, also known as the path-based stochastic on-time arrival (SOTA) problem. Our primary contribution…

Data Structures and Algorithms · Computer Science 2016-10-07 Mehrdad Niknami , Samitha Samaranayake

This study combines simulated annealing with delta evaluation to solve the joint stratification and sample allocation problem. In this problem, atomic strata are partitioned into mutually exclusive and collectively exhaustive strata. Each…

Artificial Intelligence · Computer Science 2021-11-23 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

The combining of a General-Purpose Particle Swarm Optimizer (GP-PSO) with Sequential Quadratic Programming (SQP) algorithm for constrained optimization problems has been shown to be highly beneficial to the refinement, and in some cases,…

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

Feature selection is an intractable problem, therefore practical algorithms often trade off the solution accuracy against the computation time. In this paper, we propose a novel multi-stage feature selection framework utilizing multiple…

Machine Learning · Computer Science 2021-11-18 Mohammed Ghaith Altarabichi , Sławomir Nowaczyk , Sepideh Pashami , Peyman Sheikholharam Mashhad

Combinatorial optimization problems are typically NP-hard, and thus very challenging to solve. In this paper, we present the random key cuckoo search (RKCS) algorithm for solving the famous Travelling Salesman Problem (TSP). We used a…

Neural and Evolutionary Computing · Computer Science 2016-07-18 Aziz Ouaarab , B. Ahiod , Xin-She Yang

This paper presented a genetic algorithm (GA) to solve the container storage problem in the port. This problem is studied with different container types such as regular, open side, open top, tank, empty and refrigerated containers. The…

Neural and Evolutionary Computing · Computer Science 2013-03-06 I. Ayachi , R. Kammarti , M. Ksouri , P. Borne , : , LAGIS , Ecole Centrale de Lille , : , LACS , Ecole Nationale des Ingenieurs de Tunis

We recently reported that the simple genetic algorithm (SGA) is capable of performing a remarkable form of sublinear computation which has a straightforward connection with the general problem of interacting attributes in data-mining. In…

Neural and Evolutionary Computing · Computer Science 2009-05-18 Keki M. Burjorjee

Genetic algorithm (GA) is typically used to solve nonlinear model predictive control's optimization problem. However, the size of the search space in which the GA searches for the optimal control inputs is crucial for its applicability to…

Optimization and Control · Mathematics 2025-01-22 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

The Capacitated Lot-Sizing Problem (CLSP) and its variants are important and challenging optimization problems. Constructive heuristics are known to be the most intuitive and fastest methods for finding good feasible solutions for the CLSPs…

Optimization and Control · Mathematics 2022-06-27 David Lai , Yijun Li , Emrah Demir , Nico Dellaert , Tom Van Woensel

Computing the posterior distribution of a probabilistic program is a hard task for which no one-fit-for-all solution exists. We propose Gaussian Semantics, which approximates the exact probabilistic semantics of a bounded program by means…

Programming Languages · Computer Science 2023-11-15 Francesca Randone , Luca Bortolussi , Emilio Incerto , Mirco Tribastone

This work considers stochastic optimization problems in which the objective function values can only be computed by a blackbox corrupted by some random noise following an unknown distribution. The proposed method is based on sequential…

Optimization and Control · Mathematics 2023-08-15 Charles Audet , Jean Bigeon , Romain Couderc , Michael Kokkolaras

One important feature of complex systems are problem domains that have many local minima and substructure. Biological systems manage these local minima by switching between different subsystems depending on their environmental or…

Neural and Evolutionary Computing · Computer Science 2022-08-25 Ankit Grover , Vaishali Yadav , Bradly Alicea

This paper is a comprehensive literature review of Biased Random-Key Genetic Algorithms (BRKGA). BRKGA is a metaheuristic that employs random-key-based chromosomes with biased, uniform, and elitist mating strategies in a genetic algorithm…

Neural and Evolutionary Computing · Computer Science 2024-11-11 Mariana A. Londe , Luciana S. Pessoa , Carlos E. Andrade , Mauricio G. C. Resende

This paper introduces a reinforcement learning (RL) approach to address the challenges associated with configuring and optimizing genetic algorithms (GAs) for solving difficult combinatorial or non-linear problems. The proposed RL+GA method…

We present a novel Auxiliary Truth enhanced Genetic Algorithm (GA) that uses logical or mathematical constraints as a means of data augmentation as well as to compute loss (in conjunction with the traditional MSE), with the aim of…

Neural and Evolutionary Computing · Computer Science 2020-10-23 Dhananjay Ashok , Joseph Scott , Sebastian Wetzel , Maysum Panju , Vijay Ganesh

Discrete stochastic optimization considers the problem of minimizing (or maximizing) loss functions defined on discrete sets, where only noisy measurements of the loss functions are available. The discrete stochastic optimization problem is…

Optimization and Control · Mathematics 2013-11-04 Qi Wang

In this paper, we study the following robust optimization problem. Given an independence system and candidate objective functions, we choose an independent set, and then an adversary chooses one objective function, knowing our choice. Our…

Data Structures and Algorithms · Computer Science 2018-05-22 Yasushi Kawase , Hanna Sumita