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Solving massive-scale optimization problems requires scalable first-order methods with low per-iteration cost. This tutorial highlights a shift in optimization: using differentiable programming not only to execute algorithms but to learn…

Mathematical Software · Computer Science 2026-03-02 Liping Tao , Xindi Tong , Chee Wei Tan

Combinatorial optimization problems are pervasive across science and industry. Modern deep learning tools are poised to solve these problems at unprecedented scales, but a unifying framework that incorporates insights from statistical…

Machine Learning · Computer Science 2022-04-26 Martin J. A. Schuetz , J. Kyle Brubaker , Helmut G. Katzgraber

This survey (re)introduces reinforcement learning methods to economists. The curse of dimensionality limits how far exact dynamic programming can be effectively applied, forcing us to rely on suitably "small" problems or our ability to…

General Economics · Economics 2026-03-25 Pranjal Rawat

Many sequential decision problems involve finding a policy that maximizes total reward while obeying safety constraints. Although much recent research has focused on the development of safe reinforcement learning (RL) algorithms that…

Machine Learning · Computer Science 2021-07-20 Nolan Wagener , Byron Boots , Ching-An Cheng

In numerous reinforcement learning (RL) problems involving safety-critical systems, a key challenge lies in balancing multiple objectives while simultaneously meeting all stringent safety constraints. To tackle this issue, we propose a…

Artificial Intelligence · Computer Science 2024-05-28 Shangding Gu , Bilgehan Sel , Yuhao Ding , Lu Wang , Qingwei Lin , Alois Knoll , Ming Jin

We present an open-source Python framework for NeuroEvolution Optimization with Reinforcement Learning (NEORL) developed at the Massachusetts Institute of Technology. NEORL offers a global optimization interface of state-of-the-art…

Neural and Evolutionary Computing · Computer Science 2021-12-15 Majdi I. Radaideh , Katelin Du , Paul Seurin , Devin Seyler , Xubo Gu , Haijia Wang , Koroush Shirvan

Constraint Programming (CP) is a well-established area in AI as a programming paradigm for modelling and solving discrete optimization problems, and it has been been successfully applied to tackle the on-line job dispatching problem in HPC…

Artificial Intelligence · Computer Science 2020-10-16 Cristian Galleguillos , Zeynep Kiziltan , Ricardo Soto

Rehearsal-based methods have shown superior performance in addressing catastrophic forgetting in continual learning (CL) by storing and training on a subset of past data alongside new data in current task. While such a concurrent rehearsal…

Machine Learning · Computer Science 2025-06-03 Junze Deng , Qinhang Wu , Peizhong Ju , Sen Lin , Yingbin Liang , Ness Shroff

We present a novel deep learning approach to approximate the solution of large, sparse, symmetric, positive-definite linear systems of equations. These systems arise from many problems in applied science, e.g., in numerical methods for…

Machine Learning · Computer Science 2022-10-04 Ayano Kaneda , Osman Akar , Jingyu Chen , Victoria Kala , David Hyde , Joseph Teran

Safe reinforcement learning (RL) aims to learn policies that satisfy certain constraints before deploying them to safety-critical applications. Previous primal-dual style approaches suffer from instability issues and lack optimality…

Machine Learning · Computer Science 2022-06-20 Zuxin Liu , Zhepeng Cen , Vladislav Isenbaev , Wei Liu , Zhiwei Steven Wu , Bo Li , Ding Zhao

Constraint ordering plays a critical role in the efficiency of Mixed-Integer Linear Programming (MILP) solvers, particularly for large-scale problems where poorly ordered constraints trigger increased LP iterations and suboptimal search…

Machine Learning · Computer Science 2025-04-08 Shuli Zeng , Mengjie Zhou , Sijia Zhang , Yixiang Hu , Feng Wu , Xiang-Yang Li

Reinforcement learning (RL) has shown promise in solving various combinatorial optimization problems. However, conventional RL faces challenges when dealing with complex, real-world constraints, especially when action space feasibility is…

Machine Learning · Computer Science 2025-08-12 Jaike van Twiller , Yossiri Adulyasak , Erick Delage , Djordje Grbic , Rune Møller Jensen

The Vehicle Routing Problem (VRP) is a complex optimization problem with numerous real-world applications, mostly solved using metaheuristic algorithms due to its $\mathcal{NP}$-Hard nature. Traditionally, these metaheuristics rely on…

Artificial Intelligence · Computer Science 2025-08-11 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux

Deep Reinforcement Learning (DRL) has achieved great success in solving complicated decision-making problems. Despite the successes, DRL is frequently criticized for many reasons, e.g., data inefficient, inflexible and intractable reward…

Machine Learning · Computer Science 2023-02-07 Weiqin Chen

Reinforcement Learning (RL) algorithms suffer from the dependency on accurately engineered reward functions to properly guide the learning agents to do the required tasks. Preference-based reinforcement learning (PbRL) addresses that by…

Artificial Intelligence · Computer Science 2024-08-23 Youssef Abdelkareem , Shady Shehata , Fakhri Karray

The current trends in next-generation exascale systems go towards integrating a wide range of specialized (co-)processors into traditional supercomputers. Due to the efficiency of heterogeneous systems in terms of Watts and FLOPS per…

Programming Languages · Computer Science 2017-01-26 Guillermo Vigueras , Manuel Carro , Salvador Tamarit , Julio Mariño

Heuristic forward search is currently the dominant paradigm in classical planning. Forward search algorithms typically rely on a single, relatively simple variation of best-first search and remain fixed throughout the process of solving a…

Artificial Intelligence · Computer Science 2019-11-28 Pawel Gomoluch , Dalal Alrajeh , Alessandra Russo , Antonio Bucchiarone

Understanding how learning algorithms shape the computational strategies that emerge in neural networks remains a fundamental challenge in machine intelligence. While network architectures receive extensive attention, the role of the…

Loading the containers on the ship from a yard, is an impor- tant part of port operations. Finding the optimal sequence for the loading of containers, is known to be computationally hard and is an example of combinatorial optimization,…

Artificial Intelligence · Computer Science 2018-05-18 S Saikia , R Verma , P Agarwal , G Shroff , L Vig , A Srinivasan

Reinforcement learning (RL) -- algorithms that teach artificial agents to interact with environments by maximising reward signals -- has achieved significant success in recent years. These successes have been facilitated by advances in…

Machine Learning · Computer Science 2025-04-03 Llewyn Salt , Marcus Gallagher