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e consider the experimental design problem in an online environment, an important practical task for reducing the variance of estimates in randomized experiments which allows for greater precision, and in turn, improved decision making. In…

Methodology · Statistics 2022-03-07 David Arbour , Drew Dimmery , Tung Mai , Anup Rao

Online decision-makers often obtain predictions on future variables, such as arrivals, demands, inventories, and so on. These predictions can be generated from simple forecasting algorithms for univariate time-series, all the way to…

Optimization and Control · Mathematics 2024-06-25 Lin An , Andrew A. Li , Benjamin Moseley , Gabriel Visotsky

We present an end-to-end framework for generating solutions to combinatorial optimization problems with unknown components using transformer-based sequence-to-sequence neural networks. Our framework learns directly from past solutions and…

Optimization and Control · Mathematics 2026-02-06 Macarena Navarro , Willem-Jan van Hoeve , Karan Singh

This paper proposes an optimization-based approach to predict trajectories of autonomous race cars. We assume that the observed trajectory is the result of an optimization problem that trades off path progress against acceleration and jerk…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Rudolf Reiter , Florian Messerer , Markus Schratter , Daniel Watzenig , Moritz Diehl

We propose a new model for augmenting algorithms with predictions by requiring that they are formally learnable and instance robust. Learnability ensures that predictions can be efficiently constructed from a reasonable amount of past data.…

Machine Learning · Computer Science 2021-07-05 Thomas Lavastida , Benjamin Moseley , R. Ravi , Chenyang Xu

In this paper we propose a framework for solving constrained online convex optimization problem. Our motivation stems from the observation that most algorithms proposed for online convex optimization require a projection onto the convex set…

Machine Learning · Computer Science 2012-10-01 Mehrdad Mahdavi , Rong Jin , Tianbao Yang

Statistical inverse learning aims at recovering an unknown function $f$ from randomly scattered and possibly noisy point evaluations of another function $g$, connected to $f$ via an ill-posed mathematical model. In this paper we blend…

Statistics Theory · Mathematics 2024-01-22 Tapio Helin

Selecting the best hyperparameters for a particular optimization instance, such as the learning rate and momentum, is an important but nonconvex problem. As a result, iterative optimization methods such as hypergradient descent lack global…

Machine Learning · Computer Science 2023-12-05 Xinyi Chen , Elad Hazan

A growing line of work shows how learned predictions can be used to break through worst-case barriers to improve the running time of an algorithm. However, incorporating predictions into data structures with strong theoretical guarantees…

Data Structures and Algorithms · Computer Science 2023-06-21 Samuel McCauley , Benjamin Moseley , Aidin Niaparast , Shikha Singh

We study Online Convex Optimization (OCO) with adversarial constraints, where an online algorithm must make sequential decisions to minimize both convex loss functions and cumulative constraint violations. We focus on a setting where the…

Machine Learning · Statistics 2025-03-14 Jordan Lekeufack , Michael I. Jordan

We study online learning problems in which a decision maker has to take a sequence of decisions subject to $m$ long-term constraints. The goal of the decision maker is to maximize their total reward, while at the same time achieving small…

Machine Learning · Computer Science 2022-09-16 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Giulia Romano , Nicola Gatti

We study the problem of improving the performance of online algorithms by incorporating machine-learned predictions. The goal is to design algorithms that are both consistent and robust, meaning that the algorithm performs well when…

Machine Learning · Computer Science 2020-10-23 Alexander Wei , Fred Zhang

This thesis explores the benefits machine learning algorithms can bring to online planning and scheduling for autonomous vehicles in off-road situations. Mainly, we focus on typical problems of interest which include computing itineraries…

Artificial Intelligence · Computer Science 2021-08-03 Kevin Osanlou

In online interval scheduling, the input is an online sequence of intervals, and the goal is to accept a maximum number of non-overlapping intervals. In the more general disjoint path allocation problem, the input is a sequence of requests,…

Data Structures and Algorithms · Computer Science 2025-01-24 Joan Boyar , Lene M. Favrholdt , Shahin Kamali , Kim S. Larsen

Online learning makes sequence of decisions with partial data arrival where next movement of data is unknown. In this paper, we have presented a new technique as multiple times weight updating that update the weight iteratively forsame…

Machine Learning · Computer Science 2019-01-09 Charanjeet , Anuj Sharma

A major goal of materials design is to find material structures with desired properties and in a second step to find a processing path to reach one of these structures. In this paper, we propose and investigate a deep reinforcement learning…

Machine Learning · Computer Science 2021-07-09 Johannes Dornheim , Lukas Morand , Samuel Zeitvogel , Tarek Iraki , Norbert Link , Dirk Helm

In this paper we design a novel class of online distributed optimization algorithms leveraging control theoretical techniques. We start by focusing on quadratic costs, and assuming to know an internal model of their variation. In this…

Optimization and Control · Mathematics 2026-01-21 Wouter J. A. van Weerelt , Nicola Bastianello

Machine learning algorithms typically rely on optimization subroutines and are well-known to provide very effective outcomes for many types of problems. Here, we flip the reliance and ask the reverse question: can machine learning…

Machine Learning · Computer Science 2019-07-30 Jesus A. De Loera , Jamie Haddock , Anna Ma , Deanna Needell

We study online algorithms with predictions using distributional advice, a type of prediction that arises when leveraging expert knowledge or historical data. To demonstrate the usefulness and versatility of this framework, we focus on the…

Data Structures and Algorithms · Computer Science 2025-09-09 Clément L. Canonne , Kenny Chen , Julián Mestre

In many engineered systems, optimization is used for decision making at time-scales ranging from real-time operation to long-term planning. This process often involves solving similar optimization problems over and over again with slightly…

Optimization and Control · Mathematics 2019-01-18 Sidhant Misra , Line Roald , Yeesian Ng