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Sequence optimization, where the items in a list are ordered to maximize some reward has many applications such as web advertisement placement, search, and control libraries in robotics. Previous work in sequence optimization produces a…

Artificial Intelligence · Computer Science 2012-02-10 Debadeepta Dey , Tian Yu Liu , Martial Hebert , J. Andrew Bagnell

We study a generalization of the online binary prediction with expert advice framework where at each round, the learner is allowed to pick $m\geq 1$ experts from a pool of $K$ experts and the overall utility is a modular or submodular…

Machine Learning · Computer Science 2023-05-25 Omid Sadeghi , Maryam Fazel

We study online decision making problems under resource constraints, where both reward and cost functions are drawn from distributions that may change adversarially over time. We focus on two canonical settings: $(i)$ online resource…

Machine Learning · Computer Science 2025-06-19 Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Christian Kroer

Which ads should we display in sponsored search in order to maximize our revenue? How should we dynamically rank information sources to maximize value of information? These applications exhibit strong diminishing returns: Selection of…

Machine Learning · Computer Science 2009-08-07 Daniel Golovin , Andreas Krause , Matthew Streeter

We study online learning settings in which experts act strategically to maximize their influence on the learning algorithm's predictions by potentially misreporting their beliefs about a sequence of binary events. Our goal is twofold.…

Machine Learning · Computer Science 2020-07-02 Rupert Freeman , David M. Pennock , Chara Podimata , Jennifer Wortman Vaughan

Which ads should we display in sponsored search in order to maximize our revenue? How should we dynamically rank information sources to maximize the value of the ranking? These applications exhibit strong diminishing returns: Redundancy…

Machine Learning · Computer Science 2014-07-07 Daniel Golovin , Andreas Krause , Matthew Streeter

Sequential prediction problems such as imitation learning, where future observations depend on previous predictions (actions), violate the common i.i.d. assumptions made in statistical learning. This leads to poor performance in theory and…

Machine Learning · Computer Science 2015-03-17 Stephane Ross , Geoffrey J. Gordon , J. Andrew Bagnell

The design of effective online caching policies is an increasingly important problem for content distribution networks, online social networks and edge computing services, among other areas. This paper proposes a new algorithmic toolbox for…

Networking and Internet Architecture · Computer Science 2022-10-21 Naram Mhaisen , George Iosifidis , Douglas Leith

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 consider a basic problem at the interface of two fundamental fields: submodular optimization and online learning. In the online unconstrained submodular maximization (online USM) problem, there is a universe $[n]=\{1,2,...,n\}$ and a…

Machine Learning · Computer Science 2018-06-12 Tim Roughgarden , Joshua R. Wang

We present a reduction from reinforcement learning (RL) to no-regret online learning based on the saddle-point formulation of RL, by which "any" online algorithm with sublinear regret can generate policies with provable performance…

Machine Learning · Computer Science 2020-01-03 Ching-An Cheng , Remi Tachet des Combes , Byron Boots , Geoff Gordon

Recent literature on online learning has focused on developing adaptive algorithms that take advantage of a regularity of the sequence of observations, yet retain worst-case performance guarantees. A complementary direction is to develop…

Machine Learning · Computer Science 2015-01-27 Ali Jadbabaie , Alexander Rakhlin , Shahin Shahrampour , Karthik Sridharan

Spurred by the enthusiasm surrounding the "Big Data" paradigm, the mathematical and algorithmic tools of online optimization have found widespread use in problems where the trade-off between data exploration and exploitation plays a…

Machine Learning · Computer Science 2018-04-18 E. Veronica Belmega , Panayotis Mertikopoulos , Romain Negrel , Luca Sanguinetti

We study monotone submodular maximization under general matroid constraints in the online setting. We prove that online optimization of a large class of submodular functions, namely, weighted threshold potential functions, reduces to online…

Machine Learning · Computer Science 2024-01-09 Tareq Si Salem , Gözde Özcan , Iasonas Nikolaou , Evimaria Terzi , Stratis Ioannidis

We present methods for online linear optimization that take advantage of benign (as opposed to worst-case) sequences. Specifically if the sequence encountered by the learner is described well by a known "predictable process", the algorithms…

Machine Learning · Statistics 2014-05-27 Alexander Rakhlin , Karthik Sridharan

In this paper, we study a class of online optimization problems with long-term budget constraints where the objective functions are not necessarily concave (nor convex) but they instead satisfy the Diminishing Returns (DR) property.…

Optimization and Control · Mathematics 2019-07-02 Omid Sadeghi , Maryam Fazel

Some of the most compelling applications of online convex optimization, including online prediction and classification, are unconstrained: the natural feasible set is R^n. Existing algorithms fail to achieve sub-linear regret in this…

Machine Learning · Computer Science 2012-11-13 Matthew Streeter , H. Brendan McMahan

We introduce algorithms for online, full-information prediction that are competitive with contextual tree experts of unknown complexity, in both probabilistic and adversarial settings. We show that by incorporating a probabilistic framework…

Machine Learning · Computer Science 2018-05-23 Vidya Muthukumar , Mitas Ray , Anant Sahai , Peter L. Bartlett

In the convex optimization approach to online regret minimization, many methods have been developed to guarantee a $O(\sqrt{T})$ bound on regret for subdifferentiable convex loss functions with bounded subgradients, by using a reduction to…

Machine Learning · Computer Science 2016-09-20 Arthur Flajolet , Patrick Jaillet

We study the problem of predicting a set or list of options under knapsack constraint. The quality of such lists are evaluated by a submodular reward function that measures both quality and diversity. Similar to DAgger (Ross et al., 2010),…

Machine Learning · Computer Science 2014-03-18 Jiaji Zhou , Stephane Ross , Yisong Yue , Debadeepta Dey , J. Andrew Bagnell
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