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Dictionary learning aims to find a dictionary that can sparsely represent the training data. Methods in the literature typically formulate the dictionary learning problem as an optimisation with respect to two variables, i.e., dictionary…

Signal Processing · Electrical Eng. & Systems 2019-11-21 Cheng Cheng , Wei Dai

This paper extends the Arc Orienteering Problem (AOP) to large road networks with time-dependent travel times and time-dependent value gain, termed Twofold Time-Dependent AOP or 2TD-AOP for short. In its original definition, the NP-hard…

Data Structures and Algorithms · Computer Science 2016-09-28 Gregor Jossé , Ying Lu , Tobias Emrich , Matthias Renz , Cyrus Shahabi , Ugur Demiryurek , Matthias Schubert

Adapted optimal transport (AOT) problems are optimal transport problems for distributions of a time series where couplings are constrained to have a temporal causal structure. In this paper, we develop computational tools for solving AOT…

Probability · Mathematics 2023-04-26 Stephan Eckstein , Gudmund Pammer

Multiple-TSP, also abbreviated in the literature as mTSP, is an extension of the Traveling Salesman Problem that lies at the core of many variants of the Vehicle Routing problem of great practical importance. The current paper develops and…

Neural and Evolutionary Computing · Computer Science 2019-07-30 Vlad-Ioan Lupoaie , Ivona-Alexandra Chili , Mihaela Elena Breaban , Madalina Raschip

Ant Colony Optimization (ACO) is a prominent swarm intelligence algorithm extensively applied to path planning. However, traditional ACO methods often exhibit shortcomings, such as blind search behavior and slow convergence within complex…

Neural and Evolutionary Computing · Computer Science 2026-01-13 Yi Liu , Hongda Zhang , Zhongxue Gan , Yuning Chen , Ziqing Zhou , Chunlei Meng , Chun Ouyang

Evolutionary algorithms are well suited for solving the knapsack problem. Some empirical studies claim that evolutionary algorithms can produce good solutions to the 0-1 knapsack problem. Nonetheless, few rigorous investigations address the…

Neural and Evolutionary Computing · Computer Science 2014-10-07 Jun He , Boris Mitavskiy , Yuren Zhou

In this paper we look at $k$-stroll, point-to-point orienteering, as well as the deadline TSP problem on graphs with bounded doubling dimension and bounded treewidth and present approximation schemes for them. Given a weighted graph…

Data Structures and Algorithms · Computer Science 2024-05-03 Kinter Ren , Mohammad R. Salavatipour

Constrained optimization demands highly efficient solvers which promotes the development of learn-to-optimize (L2O) approaches. As a data-driven method, L2O leverages neural networks to efficiently produce approximate solutions. However, a…

Machine Learning · Computer Science 2025-02-04 Ke Deng , Hanwen Zhang , Jin Lu , Haijian Sun

A variant of the well-known Knapsack Problem is studied in this paper, where pairs of items are conflicting, and cannot be selected at the same time. This configures a set of hard constraints. The problem, which can be used to model real…

Optimization and Control · Mathematics 2025-06-05 Roberto Montemanni , Derek H. Smith

The Bin Packing Problem is one of the most important optimization problems. In recent years, due to its NP-hard nature, several approximation algorithms have been presented. It is proved that the best algorithm for the Bin Packing Problem…

Data Structures and Algorithms · Computer Science 2015-08-07 Abdolahad Noori Zehmakan

The paper attempts to find numerical solutions of Diophantine equations, a challenging problem as there are no general methods to find solutions of such equations. It uses the metaphor of foraging habits of real ants. The ant colony…

Neural and Evolutionary Computing · Computer Science 2013-06-06 Siby Abraham , Sugata Sanyal , Mukund Sanglikar

Bandit algorithms solve diverse sequential decision-making problems, but are often too sample-inefficient for from-scratch personalization. To substantially reduce exploration times, latent bandit algorithms exploit cross-instance structure…

Machine Learning · Computer Science 2026-05-11 Emil Carlsson , Newton Mwai , Fredrik D. Johansson

The chance-constrained knapsack problem is a variant of the classical knapsack problem where each item has a weight distribution instead of a deterministic weight. The objective is to maximize the total profit of the selected items under…

Neural and Evolutionary Computing · Computer Science 2020-04-09 Yue Xie , Aneta Neumann , Frank Neumann

In this paper, a novel swarm intelligent algorithm is proposed called ant nesting algorithm (ANA). The algorithm is inspired by Leptothorax ants and mimics the behavior of ants searching for positions to deposit grains while building a new…

Neural and Evolutionary Computing · Computer Science 2021-12-14 Deeam Najmadeen Hama Rashid , Tarik A. Rashid , Seyedali Mirjalili

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

The multi-armed bandit problem is a popular model for studying exploration/exploitation trade-off in sequential decision problems. Many algorithms are now available for this well-studied problem. One of the earliest algorithms, given by W.…

Machine Learning · Computer Science 2012-04-10 Shipra Agrawal , Navin Goyal

Benchmarks are essential tools for the optimizer's development. Using them, we can check for what kind of problems a given optimizer is effective or not. Since the objective of the Evolutionary Computation field is to support the tools to…

Neural and Evolutionary Computing · Computer Science 2026-04-21 Michal W. Przewozniczek , Bartosz Frej , Marcin M. Komarnicki

To find all extreme points of multimodal functions is called extremum problem, which is a well known difficult issue in optimization fields. Applying ant colony optimization (ACO) to solve this problem is rarely reported. The method of…

Artificial Intelligence · Computer Science 2009-11-18 Chao-Yang Pang , Hui Liu , Xia Li , Yun-Fei Wang , Ben-Qiong Hu

In algorithm optimization in reinforcement learning, how to deal with the exploration-exploitation dilemma is particularly important. Multi-armed bandit problem can optimize the proposed solutions by changing the reward distribution to…

Machine Learning · Statistics 2022-03-28 Zhendong Shi , Ercan E. Kuruoglu , Xiaoli Wei

This Paper will deal with a combination of Ant Colony and Genetic Programming Algorithm to optimize Travelling Salesmen problem (NP-Hard). However, the complexity of the algorithm requires considerable computational time and resources.…

Neural and Evolutionary Computing · Computer Science 2014-11-18 Rishita Kalyani