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Hougardy and Schroeder (WG 2014) proposed a combinatorial technique for pruning the search space in the traveling salesman problem, establishing that, for a given instance, certain edges cannot be present in any optimal tour. We describe an…

Data Structures and Algorithms · Computer Science 2023-07-17 William Cook , Keld Helsgaun , Stefan Hougardy , Rasmus T. Schroeder

Variational autoencoder (VAE) is a widely used generative model for learning latent representations. Burda et al. in their seminal paper showed that learning capacity of VAE is limited by over-pruning. It is a phenomenon where a significant…

Machine Learning · Computer Science 2020-08-10 Rayyan Ahmad Khan , Muhammad Umer Anwaar , Martin Kleinsteuber

New algorithms for embedding graphs have reduced the asymptotic complexity of finding low-dimensional representations. One-Hot Graph Encoder Embedding (GEE) uses a single, linear pass over edges and produces an embedding that converges…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-08 Ariel Lubonja , Cencheng Shen , Carey Priebe , Randal Burns

With the explosion of graph-structured data, link prediction has emerged as an increasingly important task. Embedding methods for link prediction utilize neural networks to generate node embeddings, which are subsequently employed to…

Machine Learning · Computer Science 2023-06-21 Jun Fu , Xiaojuan Zhang , Shuang Li , Dali Chen

The Travelling Salesman Problem (TSP) is one of the most famous optimization problems. The Genetic Algorithm (GA) is one of metaheuristics that have been applied to TSP. The Crossover and mutation operators are two important elements of GA.…

Neural and Evolutionary Computing · Computer Science 2015-04-13 Hassan Ismkhan , Kamran Zamanifar

While there are optimal TSP solvers, as well as recent learning-based approaches, the generalization of the TSP to the Multiple Traveling Salesmen Problem is much less studied. Here, we design a neural network solution that treats the…

Machine Learning · Computer Science 2019-02-18 Yoav Kaempfer , Lior Wolf

We present a message-passing algorithm to solve the edge disjoint path problem (EDP) on graphs incorporating under a unique framework both traffic optimization and path length minimization. The min-sum equations for this problem present an…

Disordered Systems and Neural Networks · Physics 2016-01-21 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Caterina De Bacco , Silvio Franz

Disease-gene prediction (DGP) refers to the computational challenge of predicting associations between genes and diseases. Effective solutions to the DGP problem have the potential to accelerate the therapeutic development pipeline at early…

Machine Learning · Computer Science 2019-07-15 Vikash Singh , Pietro Lio'

The Travelling Salesman Problem (TSP), finding a minimal weighted Hamilton cycle in a graph, is a typical problem in operation research and combinatorial optimization. In this paper, based on some novel properties on Hamilton graphs, we…

Discrete Mathematics · Computer Science 2021-04-28 Heping Jiang

Graph embedding is an effective method to represent graph data in a low dimensional space for graph analytics. Most existing embedding algorithms typically focus on preserving the topological structure or minimizing the reconstruction…

Machine Learning · Computer Science 2019-01-09 Shirui Pan , Ruiqi Hu , Guodong Long , Jing Jiang , Lina Yao , Chengqi Zhang

Combinatorial optimization is the field devoted to the study and practice of algorithms that solve NP-hard problems. As Machine Learning (ML) and deep learning have popularized, several research groups have started to use ML to solve…

Artificial Intelligence · Computer Science 2019-10-01 Antoine François , Quentin Cappart , Louis-Martin Rousseau

In this paper, a new structure of cooperative learning automata so-called extended learning automata (eDLA) is introduced. Based on the proposed structure, a new iterative randomized heuristic algorithm for finding optimal sub-graph in a…

Artificial Intelligence · Computer Science 2013-08-14 M. R. Mollakhalili Meybodi , M. R. Meybodi

The design of good heuristics or approximation algorithms for NP-hard combinatorial optimization problems often requires significant specialized knowledge and trial-and-error. Can we automate this challenging, tedious process, and learn the…

Machine Learning · Computer Science 2018-02-23 Hanjun Dai , Elias B. Khalil , Yuyu Zhang , Bistra Dilkina , Le Song

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

Data Structures and Algorithms · Computer Science 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

Graph neural networks have shown superior performance in a wide range of applications providing a powerful representation of graph-structured data. Recent works show that the representation can be further improved by auxiliary tasks.…

Machine Learning · Computer Science 2021-02-09 Dasol Hwang , Jinyoung Park , Sunyoung Kwon , Kyung-Min Kim , Jung-Woo Ha , Hyunwoo J. Kim

We introduce a risk-aware multi-objective Traveling Salesperson Problem (TSP) variant, where the robot tour cost and tour reward have to be optimized simultaneously. The robot obtains reward along the edges in the graph. We study the case…

Robotics · Computer Science 2021-09-22 Rishab Balasubramanian , Lifeng Zhou , Pratap Tokekar , P. B. Sujit

Albeit having gained significant progress lately, large-scale graph representation learning remains expensive to train and deploy for two main reasons: (i) the repetitive computation of multi-hop message passing and non-linearity in graph…

Machine Learning · Computer Science 2023-03-10 Zhenshuo Zhang , Yun Zhu , Haizhou Shi , Siliang Tang

This work presents solutions to the Traveling Salesperson Problem with precedence constraints (TSPPC) using Deep Reinforcement Learning (DRL) by adapting recent approaches that work well for regular TSPs. Common to these approaches is the…

Machine Learning · Computer Science 2022-09-20 Christian Löwens , Inaam Ashraf , Alexander Gembus , Genesis Cuizon , Jonas K. Falkner , Lars Schmidt-Thieme

We present a novel graph-based learning of EEG representations with gradient alignment (GEEGA) that leverages multi-domain information to learn EEG representations for brain-computer interfaces. Our model leverages graph convolutional…

Human-Computer Interaction · Computer Science 2025-12-09 Prithila Angkan , Amin Jalali , Paul Hungler , Ali Etemad

The field of imbalanced self-supervised learning, especially in the context of tabular data, has not been extensively studied. Existing research has predominantly focused on image datasets. This paper aims to fill this gap by examining the…

Machine Learning · Computer Science 2024-03-26 Samuel Stocksieker , Denys Pommeret , Arthur Charpentier