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Multi-objective combinatorial optimization seeks Pareto-optimal solutions over exponentially large discrete spaces, yet existing methods sacrifice generality, scalability, or theoretical guarantees. We reformulate it as an online learning…

Machine Learning · Computer Science 2026-02-13 Esha Singh , Dongxia Wu , Chien-Yi Yang , Tajana Rosing , Rose Yu , Yi-An Ma

This paper presents a novel decision-focused framework integrating the physical energy storage model into machine learning pipelines. Motivated by the model predictive control for energy storage, our end-to-end method incorporates the prior…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Ming Yi , Saud Alghumayjan , Bolun Xu

Optimization models used to make discrete decisions often contain uncertain parameters that are context-dependent and estimated through prediction. To account for the quality of the decision made based on the prediction, decision-focused…

Machine Learning · Computer Science 2024-07-30 Noah Schutte , Krzysztof Postek , Neil Yorke-Smith

Data-driven optimization aims to translate a machine learning model into decision-making by optimizing decisions on estimated costs. Such a pipeline can be conducted by fitting a distributional model which is then plugged into the target…

Machine Learning · Computer Science 2025-03-17 Adam N. Elmachtoub , Henry Lam , Haixiang Lan , Haofeng Zhang

It is increasingly common to solve combinatorial optimisation problems that are partially-specified. We survey the case where the objective function or the relations between variables are not known or are only partially specified. The…

Machine Learning · Computer Science 2022-05-23 Stefano Teso , Laurens Bliek , Andrea Borghesi , Michele Lombardi , Neil Yorke-Smith , Tias Guns , Andrea Passerini

Decision-Focused Learning (DFL) is a paradigm for tailoring a predictive model to a downstream optimization task that uses its predictions in order to perform better on that specific task. The main technical challenge associated with DFL is…

Machine Learning · Computer Science 2022-11-10 Sanket Shah , Kai Wang , Bryan Wilder , Andrew Perrault , Milind Tambe

Decision-focused learning (DFL) is an increasingly popular paradigm for training predictive models whose outputs are used in decision-making tasks. Instead of merely optimizing for predictive accuracy, DFL trains models to directly minimize…

Machine Learning · Computer Science 2026-03-10 Aymeric Capitaine , Maxime Haddouche , Eric Moulines , Michael I. Jordan , Etienne Boursier , Alain Durmus

In the predict-then-optimize framework, the objective is to train a predictive model, mapping from environment features to parameters of an optimization problem, which maximizes decision quality when the optimization is subsequently solved.…

Machine Learning · Computer Science 2022-07-19 Kai Wang , Sanket Shah , Haipeng Chen , Andrew Perrault , Finale Doshi-Velez , Milind Tambe

Many real-world decisions are made under uncertainty by solving optimization problems using predicted quantities. This predict-then-optimize paradigm has motivated decision-focused learning, which trains models with awareness of how the…

Machine Learning · Computer Science 2025-11-10 Paula Rodriguez-Diaz , Kirk Bansak Elisabeth Paulson

In the past few years, the area of Machine Learning (ML) has witnessed tremendous advancements, becoming a pervasive technology in a wide range of applications. One area that can significantly benefit from the use of ML is Combinatorial…

Artificial Intelligence · Computer Science 2018-07-17 Michele Lombardi , Michela Milano

We present a differentiable, decision-oriented learning framework for cost prediction in a class of multi-robot decision-making problems, in which the robots need to trade off the task performance with the costs of taking actions when they…

Robotics · Computer Science 2024-03-27 Guangyao Shi , Chak Lam Shek , Nare Karapetyan , Pratap Tokekar

Recent years have seen considerable progress in the continual training of deep neural networks, predominantly thanks to approaches that add replay or regularization terms to the loss function to approximate the joint loss over all tasks so…

Machine Learning · Computer Science 2024-11-01 Timm Hess , Tinne Tuytelaars , Gido M. van de Ven

The Predict-Then-Optimize framework uses machine learning models to predict unknown parameters of an optimization problem from exogenous features before solving. This setting is common to many real-world decision processes, and recently it…

Machine Learning · Computer Science 2024-09-10 James Kotary , Vincenzo Di Vito , Jacob Cristopher , Pascal Van Hentenryck , Ferdinando Fioretto

The topic of learning to solve optimization problems has received interest from both the operations research and machine learning communities. In this work, we combine techniques from both fields to address the problem of learning to…

Machine Learning · Computer Science 2022-04-25 Aaron Babier , Timothy C. Y. Chan , Adam Diamant , Rafid Mahmood

Deep learning models form one of the most powerful machine learning models for the extraction of important features. Most of the designs of deep neural models, i.e., the initialization of parameters, are still manually tuned. Hence,…

Machine Learning · Computer Science 2023-05-18 Mrittika Chakraborty , Wreetbhas Pal , Sanghamitra Bandyopadhyay , Ujjwal Maulik

Optimization in machine learning typically deals with the minimization of empirical objectives defined by training data. However, the ultimate goal of learning is to minimize the error on future data (test error), for which the training…

Machine Learning · Statistics 2021-11-08 Bernhard Stankewitz , Nicole Mücke , Lorenzo Rosasco

Decision-Focused Learning (DFL) is an emerging learning paradigm that tackles the task of training a machine learning (ML) model to predict missing parameters of an incomplete optimization problem, where the missing parameters are…

Machine Learning · Computer Science 2025-06-23 Yehya Farhat

We consider the problem of constructing probabilistic predictions that lead to accurate decisions when employed by downstream users to inform actions. For a single decision maker, designing an optimal predictor is equivalent to minimizing a…

Machine Learning · Computer Science 2025-10-15 Isaac Gibbs , Ryan J. Tibshirani

We address the decision-making capability within an end-to-end planning framework that focuses on motion prediction, decision-making, and trajectory planning. Specifically, we formulate decision-making and trajectory planning as a…

Robotics · Computer Science 2024-12-03 Wenru Liu , Yongkang Song , Chengzhen Meng , Zhiyu Huang , Haochen Liu , Chen Lv , Jun Ma

Distributed training in deep learning (DL) is common practice as data and models grow. The current practice for distributed training of deep neural networks faces the challenges of communication bottlenecks when operating at scale, and…

Machine Learning · Computer Science 2020-12-21 Shubhankar Gahlot , Junqi Yin , Mallikarjun Shankar