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In this paper, we consider the algorithms and convergence for a general optimization problem, which has a wide range of applications in image segmentation, topology optimization, flow network formulation, and surface reconstruction. In…

Optimization and Control · Mathematics 2024-03-15 Dong Wang , Shangzhi Zeng , Jin Zhang

Time evolution of the classification scheme generated by the EqRank algorithm is studied with hep-th citation graph as an example. Intuitive expectations about evolution of an adequate classification scheme for a growing set of objects are…

Data Structures and Algorithms · Computer Science 2007-05-23 G. B. Pivovarov , S. E. Trunov

In natural language generation (NLG), insight mining is seen as a data-to-text task, where data is mined for interesting patterns and verbalised into 'insight' statements. An 'over-generate and rank' paradigm is intuitively used to generate…

Computation and Language · Computer Science 2023-07-26 Allmin Susaiyah , Aki Härmä , Milan Petković

We study the problem of learning to partition users into groups, where one must learn the compatibilities between the users to achieve optimal groupings. We define four natural objectives that optimize for average and worst case…

Machine Learning · Computer Science 2017-03-24 Arun Rajkumar , Koyel Mukherjee , Theja Tulabandhula

This work discusses the benefits of having multiple simulated environments with different degrees of realism for the development of algorithms in scenarios populated by autonomous nodes capable of communication and mobility. This approach…

Networking and Internet Architecture · Computer Science 2024-03-25 Thiago de Souza Lamenza , Josef Kamysek , Bruno Jose Olivieri de Souza , Markus Endler

The chase is a well-established family of algorithms used to materialize Knowledge Bases (KBs), like Knowledge Graphs (KGs), to tackle important tasks like query answering under dependencies or data cleaning. A general problem of chase…

Databases · Computer Science 2021-02-05 Efthymia Tsamoura , David Carral , Enrico Malizia , Jacopo Urbani

Time-Optimal Path Parameterization (TOPP) is a well-studied problem in robotics and has a wide range of applications. There are two main families of methods to address TOPP: Numerical Integration (NI) and Convex Optimization (CO). NI-based…

Robotics · Computer Science 2017-11-23 Hung Pham , Quang-Cuong Pham

Motivated by recent increased interest in optimization algorithms for non-convex optimization in application to training deep neural networks and other optimization problems in data analysis, we give an overview of recent theoretical…

Mathematical modeling is a standard approach to solve many real-world problems and {\em diversity} of solutions is an important issue, emerging in applying solutions obtained from mathematical models to real-world problems. Many studies…

Data Structures and Algorithms · Computer Science 2020-12-15 Tesshu Hanaka , Yasuaki Kobayashi , Kazuhiro Kurita , Yota Otachi

Optimization algorithms are normally influenced by meta-heuristic approach. In recent years several hybrid methods for optimization are developed to find out a better solution. The proposed work using meta-heuristic Nature Inspired…

Artificial Intelligence · Computer Science 2012-06-26 Sudarshan Nandy , Partha Pratim Sarkar , Achintya Das

Traceless Genetic Programming (TGP) is a new Genetic Programming (GP) that may be used for solving difficult real-world problems. The main difference between TGP and other GP techniques is that TGP does not explicitly store the evolved…

Neural and Evolutionary Computing · Computer Science 2021-11-30 Mihai Oltean

This work presents a novel method for task optimization in industrial plants using quantum-inspired tensor network technology. This method obtains the best possible combination of tasks on a set of machines with directed constraints while…

Two neural-network-based numerical schemes are proposed to solve the classical obstacle problems. The schemes are based on the universal approximation property of neural networks, and the cost functions are taken as the energy minimization…

Numerical Analysis · Mathematics 2022-08-10 Xinyue Evelyn Zhao , Wenrui Hao , Bei Hu

Energy and pollution are urging problems of the 21th century. By gradually changing the actual power grid system, smart grid may evolve into different systems by means of size, elements and strategies, but its fundamental requirements and…

Optimization and Control · Mathematics 2025-12-19 Soufian Ben Amor , Alain Bui , Guillaume Guerard

Feature selection for a given model can be transformed into an optimization task. The essential idea behind it is to find the most suitable subset of features according to some criterion. Nature-inspired optimization can mitigate this…

Neural and Evolutionary Computing · Computer Science 2021-01-15 Gustavo H. de Rosa , João Paulo Papa , Xin-She Yang

This paper deals with estimating model parameters in graphical models. We reformulate it as an information geometric optimization problem and introduce a natural gradient descent strategy that incorporates additional meta parameters. We…

Machine Learning · Computer Science 2019-05-15 Eric Benhamou , Jamal Atif , Rida Laraki , David Saltiel

The difficulty of solving a multi-objective optimization problem is impacted by the number of objectives to be optimized. The presence of many objectives typically introduces a number of challenges that affect the choice/design of…

Artificial Intelligence · Computer Science 2021-06-08 Richard Allmendinger , Andrzej Jaszkiewicz , Arnaud Liefooghe , Christiane Tammer

Many resource allocation tasks are challenging global (i.e., non-convex) optimization problems. The main issue is that the computational complexity of these problems grows exponentially in the number of variables instead of polynomially as…

Information Theory · Computer Science 2019-10-17 Bho Matthiesen , Eduard A. Jorswieck

{\em Reoptimization} is a setting in which we are given an (near) optimal solution of a problem instance and a local modification that slightly changes the instance. The main goal is that of finding an (near) optimal solution of the…

Data Structures and Algorithms · Computer Science 2018-05-01 Davide Bilò

Several variants of the Constraint Satisfaction Problem have been proposed and investigated in the literature for modelling those scenarios where solutions are associated with some given costs. Within these frameworks computing an optimal…

Artificial Intelligence · Computer Science 2012-09-18 Georg Gottlob , Gianluigi Greco , Francesco Scarcello