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In the last decade, Deep Reinforcement Learning has evolved into a powerful tool for complex sequential decision-making problems. It combines deep learning's proficiency in processing rich input signals with reinforcement learning's…

Machine Learning · Computer Science 2024-12-11 Julien Roy

In this paper, we aim to solve high dimensional convex quadratic programming (QP) problems with a large number of quadratic terms, linear equality and inequality constraints. In order to solve the targeted {\bf QP} problems to a desired…

Optimization and Control · Mathematics 2022-01-31 Ling Liang , Xudong Li , Defeng Sun , Kim-Chuan Toh

Using deep neural nets as function approximator for reinforcement learning tasks have recently been shown to be very powerful for solving problems approaching real-world complexity. Using these results as a benchmark, we discuss the role…

Machine Learning · Computer Science 2016-01-21 Vincent François-Lavet , Raphael Fonteneau , Damien Ernst

We consider the incomplete multi-graph matching problem, which is a generalization of the NP-hard quadratic assignment problem for matching multiple finite sets. Multi-graph matching plays a central role in computer vision, e.g., for…

Computer Vision and Pattern Recognition · Computer Science 2024-06-27 Max Kahl , Sebastian Stricker , Lisa Hutschenreiter , Florian Bernard , Bogdan Savchynskyy

Differentiable solvers for the linear assignment problem (LAP) have attracted much research attention in recent years, which are usually embedded into learning frameworks as components. However, previous algorithms, with or without learning…

Machine Learning · Computer Science 2022-01-07 He Liu , Tao Wang , Congyan Lang , Songhe Feng , Yi Jin , Yidong Li

We study approximation algorithms for two natural generalizations of the Maximum Quadratic Assignment Problem (MaxQAP). In the Maximum List-Restricted Quadratic Assignment Problem, each node in one partite set may only be matched to nodes…

Data Structures and Algorithms · Computer Science 2026-03-06 Jiratchaphat Nanta , Vorapong Suppakitpaisarn , Piyashat Sripratak

Deep reinforcement learning (DRL) has demonstrated its potential in solving complex manufacturing decision-making problems, especially in a context where the system learns over time with actual operation in the absence of training data. One…

Machine Learning · Computer Science 2023-04-14 Miguel Neves , Pedro Neto

Graph matching, typically formulated as a Quadratic Assignment Problem (QAP), seeks to establish node correspondences between two graphs. To address the NP-hardness of QAP, some existing methods adopt projection-based relaxations that embed…

Machine Learning · Computer Science 2025-08-05 Binrui Shen , Yuan Liang , Shengxin Zhu

Quantum machine learning has the potential for a transformative impact across industry sectors and in particular in finance. In our work we look at the problem of hedging where deep reinforcement learning offers a powerful framework for…

Meta-heuristics are frequently used to tackle NP-hard combinatorial optimization problems. With this paper we contribute to the understanding of the success of 2-opt based local search algorithms for solving the traveling salesman problem…

Data Structures and Algorithms · Computer Science 2012-08-14 Olaf Mersmann , Bernd Bischl , Heike Trautmann , Markus Wagner , Frank Neumann

The Credit Assignment Problem (CAP) refers to the longstanding challenge of Reinforcement Learning (RL) agents to associate actions with their long-term consequences. Solving the CAP is a crucial step towards the successful deployment of RL…

Machine Learning · Computer Science 2024-07-08 Eduardo Pignatelli , Johan Ferret , Matthieu Geist , Thomas Mesnard , Hado van Hasselt , Olivier Pietquin , Laura Toni

The knapsack problem is one of the classical problems in combinatorial optimization: Given a set of items, each specified by its size and profit, the goal is to find a maximum profit packing into a knapsack of bounded capacity. In the…

Data Structures and Algorithms · Computer Science 2020-12-02 Susanne Albers , Arindam Khan , Leon Ladewig

Modern adiabatic quantum computers (AQC) are already used to solve difficult combinatorial optimisation problems in various domains of science. Currently, only a few applications of AQC in computer vision have been demonstrated. We review…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Vladislav Golyanik , Christian Theobalt

Effective access points (APs) selection is a crucial step in localization systems. It directly affects both localization accuracy and computational efficiency. Classical APs selection algorithms are usually computationally expensive,…

Quantum Physics · Physics 2024-07-15 Ahmed Shokry , Moustafa Youssef

The emergence of truck-drone collaborative systems in last-mile logistics has positioned the Traveling Salesman Problem with Drones (TSP-D) as a pivotal extension of classical routing optimization, where synchronized vehicle coordination…

Machine Learning · Computer Science 2025-11-10 Taihelong Zeng , Yun Lin , Yuhe Shi , Yan Li , Zhiqing Wei , Xuanru Ji

We propose QPALM, a nonconvex quadratic programming (QP) solver based on the proximal augmented Lagrangian method. This method solves a sequence of inner subproblems which can be enforced to be strongly convex and which therefore admit a…

Optimization and Control · Mathematics 2024-04-17 Ben Hermans , Andreas Themelis , Panagiotis Patrinos

We present a deep reinforcement learning (deep RL) algorithm that consists of learning-based motion planning and imitation to tackle challenging control problems. Deep RL has been an effective tool for solving many high-dimensional…

Robotics · Computer Science 2023-03-02 Nitish Sontakke , Sehoon Ha

Deep reinforcement learning is a technique for solving problems in a variety of environments, ranging from Atari video games to stock trading. This method leverages deep neural network models to make decisions based on observations of a…

Machine Learning · Computer Science 2022-09-13 Anthony Dowling

We address a core problem of computer vision: Detection and description of 2D feature points for image matching. For a long time, hand-crafted designs, like the seminal SIFT algorithm, were unsurpassed in accuracy and efficiency. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Aritra Bhowmik , Stefan Gumhold , Carsten Rother , Eric Brachmann

In this paper, we extend the idea of using controlled perturbations to enhance the capabilities of active-set prediction for interior point methods for convex Quadratic Programming (QP) problems. Namely, we consider perturbing the…

Optimization and Control · Mathematics 2014-09-23 Yiming Yan