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Automated driving in urban scenarios requires efficient planning algorithms able to handle complex situations in real-time. A popular approach is to use graph-based planning methods in order to obtain a rough trajectory which is…

Robotics · Computer Science 2021-02-17 Oliver Speidel , Jona Ruof , Klaus Dietmayer

Interdiction problems are leader-follower games in which the leader is allowed to delete a certain number of edges from the graph in order to maximally impede the follower, who is trying to solve an optimization problem on the impeded…

Data Structures and Algorithms · Computer Science 2013-10-02 Feng Pan , Aaron Schild

The permutation flow shop scheduling (PFSS), aiming at finding the optimal permutation of jobs, is widely used in manufacturing systems. When solving large-scale PFSS problems, traditional optimization algorithms such as heuristics could…

Machine Learning · Computer Science 2023-12-15 Longkang Li , Siyuan Liang , Zihao Zhu , Chris Ding , Hongyuan Zha , Baoyuan Wu

Combinatorial optimization problems are ubiquitous in science and engineering. Still, learning-based approaches to accelerate combinatorial optimization often require solving a large number of difficult instances to collect training data,…

Machine Learning · Computer Science 2025-09-25 Zohair Shafi , Serdar Kadioglu

We consider the problem of optimal unsignalized intersection management, wherein we seek to obtain safe and optimal trajectories, for a set of robots that arrive randomly and continually. This problem involves repeatedly solving a mixed…

Robotics · Computer Science 2024-08-08 Nishchal Hoysal G. , Pavankumar Tallapragada

Graph burning is a process of information spreading through the network by an agent in discrete steps. The problem is to find an optimal sequence of nodes which have to be given information so that the network is covered in least number of…

Data Structures and Algorithms · Computer Science 2020-08-21 Rahul Kumar Gautam , Anjeneya Swami Kare , S. Durga Bhavani

Real-world optimization problems are generally not just black-box problems, but also involve mixed types of inputs in which discrete and continuous variables coexist. Such mixed-space optimization possesses the primary challenge of modeling…

Machine Learning · Computer Science 2022-02-09 Jaeyeon Ahn , Taehyeon Kim , Seyoung Yun

Today, hardware constraints are an important limitation on quantum adiabatic optimization algorithms. Firstly, computational problems must be formulated as quadratic unconstrained binary optimization (QUBO) in the presence of noisy coupling…

Quantum Physics · Physics 2018-12-06 Andrew Lucas

We study the problem of learning to reason in large scale knowledge graphs (KGs). More specifically, we describe a novel reinforcement learning framework for learning multi-hop relational paths: we use a policy-based agent with continuous…

Computation and Language · Computer Science 2018-07-10 Wenhan Xiong , Thien Hoang , William Yang Wang

Graphs can be used to represent and reason about systems and a variety of metrics have been devised to quantify their global characteristics. However, little is currently known about how to construct a graph or improve an existing one given…

Machine Learning · Computer Science 2021-10-28 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

Recently, several studies have explored the use of neural network to solve different routing problems, which is an auspicious direction. These studies usually design an encoder-decoder based framework that uses encoder embeddings of nodes…

Artificial Intelligence · Computer Science 2021-09-13 Zongtao Liu , Jing Xu , Jintao Su , Tao Xiao , Yang Yang

Branch-and-bound is a typical way to solve combinatorial optimization problems. This paper proposes a graph pointer network model for learning the variable selection policy in the branch-and-bound. We extract the graph features, global…

Machine Learning · Computer Science 2023-07-06 Rui Wang , Zhiming Zhou , Tao Zhang , Ling Wang , Xin Xu , Xiangke Liao , Kaiwen Li

Combinatorial Optimization underpins many real-world applications and yet, designing performant algorithms to solve these complex, typically NP-hard, problems remains a significant research challenge. Reinforcement Learning (RL) provides a…

We propose a new concept named adaptive submodularity ratio to study the greedy policy for sequential decision making. While the greedy policy is known to perform well for a wide variety of adaptive stochastic optimization problems in…

Machine Learning · Computer Science 2019-04-25 Kaito Fujii , Shinsaku Sakaue

We present a deep reinforcement learning approach to minimizing the execution cost of neural network computation graphs in an optimizing compiler. Unlike earlier learning-based works that require training the optimizer on the same graph to…

Machine Learning · Computer Science 2020-02-11 Aditya Paliwal , Felix Gimeno , Vinod Nair , Yujia Li , Miles Lubin , Pushmeet Kohli , Oriol Vinyals

Neural Algorithmic Reasoning (NAR) is a paradigm that trains neural networks to execute classic algorithms by supervised learning. Despite its successes, important limitations remain: inability to construct valid solutions without…

Machine Learning · Computer Science 2026-01-30 Alex Schutz , Victor-Alexandru Darvariu , Efimia Panagiotaki , Bruno Lacerda , Nick Hawes

End-to-end training of neural network solvers for graph combinatorial optimization problems such as the Travelling Salesperson Problem (TSP) have seen a surge of interest recently, but remain intractable and inefficient beyond graphs with…

Machine Learning · Computer Science 2022-05-26 Chaitanya K. Joshi , Quentin Cappart , Louis-Martin Rousseau , Thomas Laurent

Combinatorial optimization is frequently used in computer vision. For instance, in applications like semantic segmentation, human pose estimation and action recognition, programs are formulated for solving inference in Conditional Random…

Computer Vision and Pattern Recognition · Computer Science 2020-05-06 Safa Messaoud , Maghav Kumar , Alexander G. Schwing

Representation learning on graphs has been gaining attention due to its wide applicability in predicting missing links, and classifying and recommending nodes. Most embedding methods aim to preserve certain properties of the original graph…

Social and Information Networks · Computer Science 2019-09-13 Palash Goyal , Di Huang , Sujit Rokka Chhetri , Arquimedes Canedo , Jaya Shree , Evan Patterson

Finding a maximum-weight matching is a classical and well-studied problem in computer science, solvable in cubic time in general graphs. We consider the specialization called assignment problem where the input is a bipartite graph, and…

Data Structures and Algorithms · Computer Science 2024-10-15 Romaric Duvignau , Noël Gillet , Ralf Klasing