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We study the problem of learning Markov decision processes with finite state and action spaces when the transition probability distributions and loss functions are chosen adversarially and are allowed to change with time. We introduce an…

Machine Learning · Computer Science 2013-03-14 Yasin Abbasi-Yadkori , Peter L. Bartlett , Csaba Szepesvari

This paper offers a methodological contribution at the intersection of machine learning and operations research. Namely, we propose a methodology to quickly predict expected tactical descriptions of operational solutions (TDOSs). The…

Machine Learning · Computer Science 2022-06-10 Eric Larsen , Sébastien Lachapelle , Yoshua Bengio , Emma Frejinger , Simon Lacoste-Julien , Andrea Lodi

In the Time-Windows TSP (TW-TSP) we are given requests at different locations on a network; each request is endowed with a reward and an interval of time; the goal is to find a tour that visits as much reward as possible during the…

Data Structures and Algorithms · Computer Science 2023-04-05 Shuchi Chawla , Dimitris Christou

This paper offers a methodological contribution at the intersection of machine learning and operations research. Namely, we propose a methodology to quickly predict tactical solutions to a given operational problem. In this context, the…

Machine Learning · Computer Science 2022-06-10 Eric Larsen , Sébastien Lachapelle , Yoshua Bengio , Emma Frejinger , Simon Lacoste-Julien , Andrea Lodi

This paper reviews the current progress in applying machine learning (ML) tools to solve NP-hard combinatorial optimization problems, with a focus on routing problems such as the traveling salesman problem (TSP) and the vehicle routing…

Artificial Intelligence · Computer Science 2025-10-09 Fangting Zhou , Attila Lischka , Balazs Kulcsar , Jiaming Wu , Morteza Haghir Chehreghani , Gilbert Laporte

This paper studies the performative prediction problem which optimizes a stochastic loss function with data distribution that depends on the decision variable. We consider a setting where the agent(s) provides samples adapted to the…

Optimization and Control · Mathematics 2021-10-05 Qiang Li , Hoi-To Wai

Recently, there is an emerging trend to apply deep reinforcement learning to solve the vehicle routing problem (VRP), where a learnt policy governs the selection of next node for visiting. However, existing methods could not handle well the…

Machine Learning · Computer Science 2021-10-07 Jingwen Li , Liang Xin , Zhiguang Cao , Andrew Lim , Wen Song , Jie Zhang

Challenges in last-mile delivery have encouraged innovative solutions like crowdsourced delivery, where online platforms leverage the services of drivers who occasionally perform delivery tasks for compensation. A key challenge is that…

Optimization and Control · Mathematics 2026-03-23 Alim Buğra Çınar , Claudia Archetti , Wout Dullaert , Markus Leitner , Stefan Waldherr

We consider the problem of online reinforcement learning for the Stochastic Shortest Path (SSP) problem modeled as an unknown MDP with an absorbing state. We propose PSRL-SSP, a simple posterior sampling-based reinforcement learning…

Machine Learning · Computer Science 2021-06-11 Mehdi Jafarnia-Jahromi , Liyu Chen , Rahul Jain , Haipeng Luo

The acquisition of massive data on parcel delivery motivates postal operators to foster the development of predictive systems to improve customer service. Predicting delivery times successive to being shipped out of the final depot,…

Signal Processing · Electrical Eng. & Systems 2021-04-30 Arthur Cruz de Araujo , Ali Etemad

When trying to solve a computational problem, we are often faced with a choice between algorithms that are guaranteed to return the right answer but differ in their runtime distributions (e.g., SAT solvers, sorting algorithms). This paper…

Artificial Intelligence · Computer Science 2023-06-06 Devon R. Graham , Kevin Leyton-Brown , Tim Roughgarden

A common approach to statistical learning with big-data is to randomly split it among $m$ machines and learn the parameter of interest by averaging the $m$ individual estimates. In this paper, focusing on empirical risk minimization, or…

Machine Learning · Statistics 2016-06-14 Jonathan Rosenblatt , Boaz Nadler

In this paper, we address the joint optimization of fleet size and mix, along with vehicle routing, under uncertain customer demand. We propose a two-stage stochastic mixed-integer programming model, where first-stage decisions concern the…

Optimization and Control · Mathematics 2025-12-11 Paolo Beatrici , Sebastian Birolini , Francesca Maggioni , Paolo Malighetti

In Model Predictive Control (MPC), the objective function plays a central role in determining the closed-loop behavior of the system, and must therefore be designed to achieve the desired closed-loop performance. However, in real-world…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Pablo Krupa , Hasna El Hasnaouy , Mario Zanon , Alberto Bemporad

Last-mile routing refers to the final step in a supply chain, delivering packages from a depot station to the homes of customers. At the level of a single van driver, the task is a traveling salesman problem. But the choice of route may be…

Optimization and Control · Mathematics 2022-09-23 William Cook , Stephan Held , Keld Helsgaun

Automated vehicles are envisioned to navigate safely in complex mixed-traffic scenarios alongside human-driven vehicles. To promise a high degree of safety, accurately predicting the maneuvers of surrounding vehicles and their future…

Machine Learning · Computer Science 2023-12-20 Shuli Wang , Kun Gao , Lanfang Zhang , Yang Liu , Lei Chen

Transductive learning is a supervised machine learning task in which, unlike in traditional inductive learning, the unlabelled data that require labelling are a finite set and are available at training time. Similarly to inductive learning…

Machine Learning · Computer Science 2025-07-31 Lorenzo Volpi , Alejandro Moreo , Fabrizio Sebastiani

Trajectory sampling in the Frenet(road-aligned) frame, is one of the most popular methods for motion planning of autonomous vehicles. It operates by sampling a set of behavioural inputs, such as lane offset and forward speed, before solving…

Robotics · Computer Science 2023-10-24 Jatan Shrestha , Simon Idoko , Basant Sharma , Arun Kumar Singh

Autonomous systems increasingly rely on human feedback to align their behavior, expressed as pairwise comparisons, rankings, or demonstrations. While existing methods can adapt behaviors, they often fail to guarantee safety in…

Robotics · Computer Science 2026-03-12 Ruya Karagulle , Cristian-Ioan Vasile , Necmiye Ozay

This paper provides a systematic overview of machine learning methods applied to solve NP-hard Vehicle Routing Problems (VRPs). Recently, there has been a great interest from both machine learning and operations research communities to…

Machine Learning · Computer Science 2022-05-06 Aigerim Bogyrbayeva , Meraryslan Meraliyev , Taukekhan Mustakhov , Bissenbay Dauletbayev