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Recently, a variety of constraint programming and Boolean satisfiability approaches to scheduling problems have been introduced. They have in common the use of relatively simple propagation mechanisms and an adaptive way to focus on the…

Artificial Intelligence · Computer Science 2011-09-28 Diarmuid Grimes , Emmanuel Hebrard

The maximum density still life problem (MDSLP) is a hard constraint optimization problem based on Conway's game of life. It is a prime example of weighted constrained optimization problem that has been recently tackled in the…

Neural and Evolutionary Computing · Computer Science 2008-12-23 Jose E. Gallardo , Carlos Cotta , Antonio J. Fernandez

Given a set of data, biclustering aims at finding simultaneous partitions in biclusters of its samples and of the features which are used for representing the samples. Consistent biclusterings allow to obtain correct classifications of the…

Machine Learning · Computer Science 2010-03-18 Antonio Mucherino , Sonia Cafieri

In this paper a novel possibilistic c-means clustering algorithm, called Adaptive Possibilistic c-means, is presented. Its main feature is that {\it all} its parameters, after their initialization, are properly adapted during its execution.…

Computer Vision and Pattern Recognition · Computer Science 2015-10-16 Spyridoula D. Xenaki , Konstantinos D. Koutroumbas , Athanasios A. Rontogiannis

In this work we apply the "deviation maximization", a new column selection strategy, to the Lawson-Hanson algorithm for the solution of NonNegative Least Squares (NNLS), devising a new algorithm we call Lawson-Hanson with Deviation…

Numerical Analysis · Mathematics 2023-09-12 Monica Dessole , Marco Dell'Orto , Fabio Marcuzzi

Many combinatorial optimisation problems can be modelled as valued constraint satisfaction problems. In this paper, we present a polynomial-time algorithm solving the valued constraint satisfaction problem for a fixed number of variables…

Optimization and Control · Mathematics 2020-03-03 Manuel Bodirsky , Marcello Mamino , Caterina Viola

We consider robust combinatorial optimization problems where the decision maker can react to a scenario by choosing from a finite set of $k$ solutions. This approach is appropriate for decision problems under uncertainty where the…

Optimization and Control · Mathematics 2019-03-28 André Chassein , Marc Goerigk , Jannis Kurtz , Michael Poss

Optimization problems with the objective function in the form of weighted sum and linear equality constraints are considered. Given that the number of local cost functions can be large as well as the number of constraints, a stochastic…

Optimization and Control · Mathematics 2026-05-26 Nataša Krejić , Nataša Krklec Jerinkić , Sanja Rapajić , Luka Rutešić

This paper studies an optimal control problem for continuous-time stochastic systems subject to reachability objectives specified in a subclass of metric interval temporal logic specifications, a temporal logic with real-time constraints.…

Systems and Control · Computer Science 2015-04-21 Jie Fu , Ufuk Topcu

We propose a new methodology to develop heuristic algorithms using tree decompositions. Traditionally, such algorithms construct an optimal solution of the given problem instance through a dynamic programming approach. We modify this…

Data Structures and Algorithms · Computer Science 2023-10-26 Louis Carpentier , Jorik Jooken , Jan Goedgebeur

We show that the algorithm to extract diverse M -solutions from a Conditional Random Field (called divMbest [1]) takes exactly the form of a Herding procedure [2], i.e. a deterministic dynamical system that produces a sequence of hypotheses…

Computer Vision and Pattern Recognition · Computer Science 2017-01-31 Ece Ozkan , Gemma Roig , Orcun Goksel , Xavier Boix

In black-box function optimization, we need to consider not only controllable design variables but also uncontrollable stochastic environment variables. In such cases, it is necessary to solve the optimization problem by taking into account…

Machine Learning · Statistics 2022-02-03 Yu Inatsu , Shion Takeno , Masayuki Karasuyama , Ichiro Takeuchi

We propose a new design heuristic to tackle combinatorial optimisation problems, inspired by Hamiltonians for optimal state-transfer. The result is a rapid approximate optimisation algorithm. We provide numerical evidence of the success of…

Quantum Physics · Physics 2024-02-14 Robert J. Banks , Dan E. Browne , P. A. Warburton

An iterative scheme for the Dynamical Systems Method (DSM) is given such that one does not have to solve the Cauchy problem occuring in the application of the DSM for solving ill-conditioned linear algebraic systems. The novelty of the…

Numerical Analysis · Mathematics 2008-03-25 N. S. Hoang , A. G. Ramm

We consider the large sum of DC (Difference of Convex) functions minimization problem which appear in several different areas, especially in stochastic optimization and machine learning. Two DCA (DC Algorithm) based algorithms are proposed:…

Optimization and Control · Mathematics 2019-11-12 Hoai An Le Thi , Hoai Minh Le , Duy Nhat Phan , Bach Tran

In this paper, we aim to solve the high dimensional stochastic optimal control problem from the view of the stochastic maximum principle via deep learning. By introducing the extended Hamiltonian system which is essentially an FBSDE with a…

Optimization and Control · Mathematics 2021-06-23 Shaolin Ji , Shige Peng , Ying Peng , Xichuan Zhang

We develop a novel iterative algorithm for locally optimal experimental design under constraints, like budget or performance constraints. It is an adaptive discretization algorithm. In every iteration, a discretized version of the…

Optimization and Control · Mathematics 2026-04-21 Jochen Schmid , Philipp Seufert , Jan Schwientek , Tobias Seidel , Karl-Heinz Küfer

We introduce a new numerical method to approximate the solution of a finite horizon deterministic optimal control problem. We exploit two Hamilton-Jacobi-Bellman PDE, arising by considering the dynamics in forward and backward time. This…

Optimization and Control · Mathematics 2023-04-21 Marianne Akian , Stéphane Gaubert , Shanqing Liu

Boolean Satisfiability (SAT) solving underpins a wide range of applications in Electronic Design Automation (EDA), particularly formal verification. However, this paper observes that the mainstream clause reduction heuristic in modern SAT…

Logic in Computer Science · Computer Science 2026-02-26 Yalun Cai , Xindi Zhang , Zhengyuan Shi , Mengxia Tao , Qiang Xu

This paper considers the one-dimensional cutting stock problem with divisible items, which is a new problem in the cutting stock literature. The problem exists in steel industries. In the new problem, each item can be divided into smaller…

Other Computer Science · Computer Science 2021-07-26 Deniz Tanir , Onur Ugurlu , Asli Guler , Urfat Nuriyev
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