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This work introduces a framework to address the computational complexity inherent in Mixed-Integer Programming (MIP) models by harnessing the potential of deep learning. By employing deep learning, we construct problem-specific heuristics…

Optimization and Control · Mathematics 2024-05-13 Niki Triantafyllou , Maria M. Papathanasiou

Distributional reinforcement learning (RL) is a powerful framework increasingly adopted in safety-critical domains for its ability to optimize risk-sensitive objectives. However, the role of the discount factor is often overlooked, as it is…

Machine Learning · Computer Science 2026-02-05 Mehrdad Moghimi , Anthony Coache , Hyejin Ku

Mixed integer linear programs are commonly solved by Branch and Bound algorithms. A key factor of the efficiency of the most successful commercial solvers is their fine-tuned heuristics. In this paper, we leverage patterns in real-world…

Machine Learning · Computer Science 2020-12-02 Marc Etheve , Zacharie Alès , Côme Bissuel , Olivier Juan , Safia Kedad-Sidhoum

In this paper, we investigate the constraint typology of mixed-integer linear programming MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life scheduling, routing, planning,…

Artificial Intelligence · Computer Science 2021-03-02 Vicky Mak-Hau , John Yearwood , William Moran

Reinforcement learning for multi-step reasoning with large language models (LLMs) typically relies on sparse terminal rewards, which creates a poorly conditioned credit-assignment problem: the final feedback is propagated uniformly across…

Machine Learning · Computer Science 2026-05-26 Fei Ding , Yongkang Zhang , youwei wang , Zijian Zeng

Machine-learned interatomic potentials (MLIPs) are revolutionizing computational materials science and chemistry by offering an efficient alternative to {\em ab initio} molecular dynamics (MD) simulations. However, fitting high-quality…

Computational Physics · Physics 2025-12-12 Ilgar Baghishov , Jan Janssen , Graeme Henkelman , Danny Perez

Robust Markov decision processes (RMDPs) extend standard Markov decision processes (MDPs) to account for uncertainty in the transition probabilities. RMDPs have an uncertainty set that defines a set of possible transition functions, each of…

Logic in Computer Science · Computer Science 2026-04-30 Marnix Suilen , Guillermo A. Pérez

Sequential decision making, commonly formalized as Markov Decision Process (MDP) optimization, is a important challenge in artificial intelligence. Two key approaches to this problem are reinforcement learning (RL) and planning. This paper…

Machine Learning · Computer Science 2022-04-01 Thomas M. Moerland , Joost Broekens , Aske Plaat , Catholijn M. Jonker

The present work addresses the challenge of training neural networks for Dynamic Initial Margin (DIM) computation in counterparty credit risk, a task traditionally burdened by the high costs associated with generating training datasets…

Computational Finance · Quantitative Finance 2024-07-24 Joel P. Villarino , Álvaro Leitao

This paper examines the exploration-exploitation trade-off in reinforcement learning with verifiable rewards (RLVR), a framework for improving the reasoning of Large Language Models (LLMs). Recent studies suggest that RLVR can elicit strong…

Machine Learning · Computer Science 2026-01-27 Peter Chen , Xiaopeng Li , Ziniu Li , Wotao Yin , Xi Chen , Tianyi Lin

The low rank MDP has emerged as an important model for studying representation learning and exploration in reinforcement learning. With a known representation, several model-free exploration strategies exist. In contrast, all algorithms for…

Machine Learning · Computer Science 2022-06-23 Aditya Modi , Jinglin Chen , Akshay Krishnamurthy , Nan Jiang , Alekh Agarwal

In this paper, we present an online reinforcement learning algorithm, called Renewal Monte Carlo (RMC), for infinite horizon Markov decision processes with a designated start state. RMC is a Monte Carlo algorithm and retains the advantages…

Machine Learning · Computer Science 2018-04-05 Jayakumar Subramanian , Aditya Mahajan

The explore{exploit dilemma is one of the central challenges in Reinforcement Learning (RL). Bayesian RL solves the dilemma by providing the agent with information in the form of a prior distribution over environments; however, full…

Machine Learning · Computer Science 2012-03-19 Jonathan Sorg , Satinder Singh , Richard L. Lewis

Semi-supervised learning has emerged as an appealing strategy to train deep models with limited supervision. Most prior literature under this learning paradigm resorts to dual-based architectures, typically composed of a teacher-student…

Computer Vision and Pattern Recognition · Computer Science 2022-03-08 Martin Van Waerebeke , Gregory Lodygensky , Jose Dolz

This paper explores the critical domain of Revenue Management (RM) within Operations Research (OR), focusing on intricate pricing dynamics. Utilizing Mixed Integer Linear Programming (MILP) models, the study enhances revenue optimization by…

Optimization and Control · Mathematics 2024-04-08 Amirreza Talebi , Sayed Pedram Haeri Boroujeni , Abolfazl Razi

Cutting planes for mixed-integer linear programs (MILPs) are typically computed in rounds by iteratively solving optimization problems, the so-called separation. Instead, we reframe the problem of finding good cutting planes as a continuous…

Optimization and Control · Mathematics 2023-07-10 Didier Chételat , Andrea Lodi

A tenet of reinforcement learning is that the agent always observes rewards. However, this is not true in many realistic settings, e.g., a human observer may not always be available to provide rewards, sensors may be limited or…

Machine Learning · Computer Science 2026-03-24 Alireza Kazemipour , Simone Parisi , Matthew E. Taylor , Michael Bowling

Intermodal logistics typically include the successive stages of intermodal shipment and last-mile delivery. We investigate this problem under a novel Logic-Based Benders Decomposition, which exploits the staged nature of the problem to…

Optimization and Control · Mathematics 2022-10-12 Ioannis Avgerinos , Ioannis Mourtos , Georgios Zois

In this paper we deal with a network of agents seeking to solve in a distributed way Mixed-Integer Linear Programs (MILPs) with a coupling constraint (modeling a limited shared resource) and local constraints. MILPs are NP-hard problems and…

Systems and Control · Computer Science 2020-10-28 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

Direct Preference Optimization (DPO) using an implicit reward model has proven to be an effective alternative to reinforcement learning from human feedback (RLHF) for fine-tuning preference aligned large language models (LLMs). However, the…

Computation and Language · Computer Science 2024-09-30 Guoxin Chen , Minpeng Liao , Chengxi Li , Kai Fan