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We introduce the transport-and-pack(TAP) problem, a frequently encountered instance of real-world packing, and develop a neural optimization solution based on reinforcement learning. Given an initial spatial configuration of boxes, we seek…

Graphics · Computer Science 2020-09-04 Ruizhen Hu , Juzhan Xu , Bin Chen , Minglun Gong , Hao Zhang , Hui Huang

Graph Neural Networks (GNNs) are routinely used in molecular physics, social sciences, and economics to model many-body interactions in graph-like systems. However, GNNs are inherently local and can suffer from information flow bottlenecks.…

Computational Physics · Physics 2025-02-21 Alessandro Caruso , Jacopo Venturin , Lorenzo Giambagli , Edoardo Rolando , Frank Noé , Cecilia Clementi

Majority of the existing graph neural networks (GNN) learn node embeddings that encode their local neighborhoods but not their positions. Consequently, two nodes that are vastly distant but located in similar local neighborhoods map to…

Social and Information Networks · Computer Science 2021-08-23 Sunil Nishad , Shubhangi Agarwal , Arnab Bhattacharya , Sayan Ranu

Graph neural networks have become the standard approach for dealing with learning problems on graphs. Among the different variants of graph neural networks, graph attention networks (GATs) have been applied with great success to different…

Machine Learning · Computer Science 2023-07-18 Michail Chatzianastasis , Giannis Nikolentzos , Michalis Vazirgiannis

Most of existing neural methods for multi-objective combinatorial optimization (MOCO) problems solely rely on decomposition, which often leads to repetitive solutions for the respective subproblems, thus a limited Pareto set. Beyond…

Machine Learning · Computer Science 2023-10-25 Jinbiao Chen , Zizhen Zhang , Zhiguang Cao , Yaoxin Wu , Yining Ma , Te Ye , Jiahai Wang

The orienteering problem is a route optimization problem which consists in finding a simple cycle that maximizes the total collected profit subject to a maximum distance limitation. In the last few decades, the occurrence of this problem in…

Optimization and Control · Mathematics 2021-01-14 Gorka Kobeaga , María Merino , Jose A. Lozano

We use neural graph networks with a message-passing architecture and an attention mechanism to enhance the branching heuristic in two SAT-solving algorithms. We report improvements of learned neural heuristics compared with two standard…

Artificial Intelligence · Computer Science 2020-05-28 Sebastian Jaszczur , Michał Łuszczyk , Henryk Michalewski

Rapid e-commerce growth has pushed last-mile delivery networks to their limits, where small routing gains translate into lower costs, faster service, and fewer emissions. Classical heuristics struggle to adapt when travel times are highly…

Machine Learning · Computer Science 2026-01-09 Àngel Ruiz-Fas , Carlos Granell , José Francisco Ramos , Joaquín Huerta , Sergio Trilles

Finding the shortest path between two points in a graph is a fundamental problem that has been well-studied over the past several decades. Shortest path algorithms are commonly applied to modern navigation systems, so our study aims to…

Data Structures and Algorithms · Computer Science 2022-08-02 Kevin Y. Chen

The performance of search algorithms for grid-based pathfinding, e.g. A*, critically depends on the heuristic function that is used to focus the search. Recent studies have shown that informed heuristics that take the positions/shapes of…

Machine Learning · Computer Science 2026-03-02 Aleksandr Ananikian , Daniil Drozdov , Konstantin Yakovlev

Neural networks have achieved success in a wide array of perceptual tasks but often fail at tasks involving both perception and higher-level reasoning. On these more challenging tasks, bespoke approaches (such as modular symbolic…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 David Ding , Felix Hill , Adam Santoro , Malcolm Reynolds , Matt Botvinick

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

Graph Neural Networks (GNNs) have emerged as the de facto standard for modeling graph data, with attention mechanisms and transformers significantly enhancing their performance on graph-based tasks. Despite these advancements, the…

Machine Learning · Computer Science 2025-04-07 Nikhil Shivakumar Nayak

Inverse problems correspond to a certain type of optimization problems formulated over appropriate input distributions. Recently, there has been a growing interest in understanding the computational hardness of these optimization problems,…

Machine Learning · Statistics 2018-09-03 Alex Nowak , Soledad Villar , Afonso S. Bandeira , Joan Bruna

Seeking effective neural networks is a critical and practical field in deep learning. Besides designing the depth, type of convolution, normalization, and nonlinearities, the topological connectivity of neural networks is also important.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Kun Yuan , Quanquan Li , Jing Shao , Junjie Yan

Formulating the multi object tracking problem as a network flow optimization problem is a popular choice. In this paper an efficient way of learning the weights of such a network is presented. It separates the problem into one embedding of…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Håkan Ardö , Mikael Nilsson

In recent years, Graph Neural Networks (GNNs) have been utilized for various applications ranging from drug discovery to network design and social networks. In many applications, it is impossible to observe some properties of the graph…

Machine Learning · Computer Science 2025-03-12 Moshe Eliasof , Md Shahriar Rahim Siddiqui , Carola-Bibiane Schönlieb , Eldad Haber

We present a neural optimization model trained with reinforcement learning to solve the coordinate ordering problem for sets of star glyphs. Given a set of star glyphs associated to multiple class labels, we propose to use shape context…

Computer Vision and Pattern Recognition · Computer Science 2021-03-04 Ruizhen Hu , Bin Chen , Juzhan Xu , Oliver van Kaick , Oliver Deussen , Hui Huang

Given an undirected graph G, the edge orientation problem asks for assigning a direction to each edge to convert G into a directed graph. The aim is to minimize the maximum out degree of a vertex in the resulting directed graph. This…

Data Structures and Algorithms · Computer Science 2024-04-23 H. Reinstädtler , C. Schulz , B. Uçar

In the last years, there has been a great interest in machine-learning-based heuristics for solving NP-hard combinatorial optimization problems. The developed methods have shown potential on many optimization problems. In this paper, we…

Optimization and Control · Mathematics 2022-12-19 Mouad Morabit , Guy Desaulniers , Andrea Lodi
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