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The Augmented Lagrangian Method (ALM) is an iterative method for the solution of equality-constrained non-linear programming problems. In contrast to the quadratic penalty method, the ALM can satisfy equality constraints in an exact way.…

Numerical Analysis · Mathematics 2018-04-24 Martin Neuenhofen

Reinforcement Learning with Verifiable Rewards (RLVR) has recently emerged as a powerful paradigm for facilitating the self-improvement of large language models (LLMs), particularly in the domain of complex reasoning tasks. However,…

Machine Learning · Computer Science 2025-07-17 Ziru Liu , Cheng Gong , Xinyu Fu , Yaofang Liu , Ran Chen , Shoubo Hu , Suiyun Zhang , Rui Liu , Qingfu Zhang , Dandan Tu

Reinforcement Learning (RL) has emerged as a powerful tool for neural combinatorial optimization, enabling models to learn heuristics that solve complex problems without requiring expert knowledge. Despite significant progress, existing RL…

Machine Learning · Computer Science 2025-05-14 Mingjun Pan , Guanquan Lin , You-Wei Luo , Bin Zhu , Zhien Dai , Lijun Sun , Chun Yuan

In autonomous driving, traditional Computer Vision (CV) agents often struggle in unfamiliar situations due to biases in the training data. Deep Reinforcement Learning (DRL) agents address this by learning from experience and maximizing…

Robotics · Computer Science 2025-01-10 Bhargava Uppuluri , Anjel Patel , Neil Mehta , Sridhar Kamath , Pratyush Chakraborty

Quantum Reinforcement Learning (QRL) offers potential advantages over classical Reinforcement Learning, such as compact state space representation and faster convergence in certain scenarios. However, practical benefits require further…

Quantum Physics · Physics 2024-08-05 Michael Kölle , Daniel Seidl , Maximilian Zorn , Philipp Altmann , Jonas Stein , Thomas Gabor

Combinatorial optimization has found applications in numerous fields, from aerospace to transportation planning and economics. The goal is to find an optimal solution among a finite set of possibilities. The well-known challenge one faces…

Artificial Intelligence · Computer Science 2020-06-03 Quentin Cappart , Thierry Moisan , Louis-Martin Rousseau , Isabeau Prémont-Schwarz , Andre Cire

This paper introduces a hybrid algorithm of deep reinforcement learning (RL) and Force-based motion planning (FMP) to solve distributed motion planning problem in dense and dynamic environments. Individually, RL and FMP algorithms each have…

Machine Learning · Computer Science 2020-04-01 Samaneh Hosseini Semnani , Hugh Liu , Michael Everett , Anton de Ruiter , Jonathan P. How

Inefficient traffic signal control methods may cause numerous problems, such as traffic congestion and waste of energy. Reinforcement learning (RL) is a trending data-driven approach for adaptive traffic signal control in complex urban…

Signal Processing · Electrical Eng. & Systems 2021-07-14 Zhenning Li , Chengzhong Xu , Guohui Zhang

Classical reinforcement learning (RL) methods often struggle in complex, high-dimensional environments because of their extensive parameter requirements and challenges posed by stochastic, non-deterministic settings. This study introduces…

Robotics · Computer Science 2025-09-16 Romerik Lokossou , Birhanu Shimelis Girma , Ozan K. Tonguz , Ahmed Biyabani

Modern approaches to autonomous driving rely heavily on learned components trained with large amounts of human driving data via imitation learning. However, these methods require large amounts of expensive data collection and even then face…

Recent advancements in the flexible job-shop scheduling problem (FJSSP) are primarily based on deep reinforcement learning (DRL) due to its ability to generate high-quality, real-time solutions. However, DRL approaches often fail to fully…

Artificial Intelligence · Computer Science 2024-03-15 Imanol Echeverria , Maialen Murua , Roberto Santana

In recent years, reinforcement learning (RL) methods have emerged as a promising approach for solving combinatorial problems. Among RL-based models, POMO has demonstrated strong performance on a variety of tasks, including variants of the…

Artificial Intelligence · Computer Science 2025-08-13 Szymon Jakubicz , Karol Kuźniak , Jan Wawszczak , Paweł Gora

Quantum control is concerned with the realisation of desired dynamics in quantum systems, serving as a linchpin for advancing quantum technologies and fundamental research. Analytic approaches and standard optimisation algorithms do not…

Quantum Physics · Physics 2025-05-29 Jan Ole Ernst , Aniket Chatterjee , Tim Franzmeyer , Axel Kuhn

Human decision-making often involves combining similar states into categories and reasoning at the level of the categories rather than the actual states. Guided by this intuition, we propose a novel method for clustering state features in…

Machine Learning · Computer Science 2022-11-15 Liang Zhang , Justin Lieffers , Adarsh Pyarelal

Traditional Reinforcement Learning (RL) suffers from replicating human-like behaviors, generalizing effectively in multi-agent scenarios, and overcoming inherent interpretability issues.These tasks are compounded when deep environment…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Miao Zhang , Zhenlong Fang , Tianyi Wang , Qian Zhang , Shuai Lu , Junfeng Jiao , Tianyu Shi

We present several key advances to the Physics and Equality Constrained Artificial Neural Networks (PECANN) framework, substantially improving its capacity to solve challenging partial differential equations (PDEs). Our enhancements broaden…

Machine Learning · Computer Science 2025-12-09 Qifeng Hu , Shamsulhaq Basir , Inanc Senocak

Quantum computing exploits basic quantum phenomena such as state superposition and entanglement to perform computations. The Quantum Approximate Optimization Algorithm (QAOA) is arguably one of the leading quantum algorithms that can…

Machine Learning · Computer Science 2022-06-16 Sami Khairy , Ruslan Shaydulin , Lukasz Cincio , Yuri Alexeev , Prasanna Balaprakash

In the backdrop of an increasingly pressing need for effective urban and highway transportation systems, this work explores the synergy between model-based and learning-based strategies to enhance traffic flow management by use of an…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Filippo Airaldi , Bart De Schutter , Azita Dabiri

Safe and efficient autonomous driving maneuvers in an interactive and complex environment can be considerably challenging due to the unpredictable actions of other surrounding agents that may be cooperative or adversarial in their…

Robotics · Computer Science 2019-01-28 Pin Wang , Ching-Yao Chan , Hanhan Li

Visual reinforcement learning (RL) suffers from poor sample efficiency due to high-dimensional observations in complex tasks. While existing works have shown that vision-language models (VLMs) can assist RL, they often focus on knowledge…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Canming Xia , Peixi Peng , Guang Tan , Zhan Su , Haoran Xu , Zhenxian Liu , Luntong Li
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