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Learning-augmented algorithms has been extensively studied recently in the computer-science community, due to the potential of using machine learning predictions in order to improve the performance of algorithms. Predictions are especially…

Data Structures and Algorithms · Computer Science 2024-06-07 Elena Grigorescu , Young-San Lin , Maoyuan Song

This paper studies online algorithms augmented with multiple machine-learned predictions. While online algorithms augmented with a single prediction have been extensively studied in recent years, the literature for the multiple predictions…

Machine Learning · Computer Science 2022-07-14 Keerti Anand , Rong Ge , Amit Kumar , Debmalya Panigrahi

Semidefinite programming (SDP) is a unifying framework that generalizes both linear programming and quadratically-constrained quadratic programming, while also yielding efficient solvers, both in theory and in practice. However, there exist…

Data Structures and Algorithms · Computer Science 2022-10-24 Elena Grigorescu , Young-San Lin , Sandeep Silwal , Maoyuan Song , Samson Zhou

Learning-augmented algorithms -- in which, traditional algorithms are augmented with machine-learned predictions -- have emerged as a framework to go beyond worst-case analysis. The overarching goal is to design algorithms that perform…

Data Structures and Algorithms · Computer Science 2022-02-10 Sungjin Im , Ravi Kumar , Aditya Petety , Manish Purohit

The extension of classical online algorithms when provided with predictions is a new and active research area. In this paper, we extend the primal-dual method for online algorithms in order to incorporate predictions that advise the online…

Machine Learning · Computer Science 2020-10-23 Étienne Bamas , Andreas Maggiori , Ola Svensson

Effective caching is crucial for the performance of modern-day computing systems. A key optimization problem arising in caching -- which item to evict to make room for a new item -- cannot be optimally solved without knowing the future.…

Machine Learning · Computer Science 2021-06-29 Jakub Chłędowski , Adam Polak , Bartosz Szabucki , Konrad Zolna

We give a very general and simple framework to incorporate predictions on requests for online covering problems in a rigorous and black-box manner. Our framework turns any online algorithm with competitive ratio $\rho(k, \cdot)$ depending…

Data Structures and Algorithms · Computer Science 2025-07-09 Afrouz Jabal Ameli , Laura Sanita , Moritz Venzin

Recent advances in algorithmic design show how to utilize predictions obtained by machine learning models from past and present data. These approaches have demonstrated an enhancement in performance when the predictions are accurate, while…

Machine Learning · Computer Science 2024-03-13 Marek Elias , Haim Kaplan , Yishay Mansour , Shay Moran

Learning-augmented algorithms have received significant attention in recent years, particularly in the context of online optimization. Motivated by the high computational cost of generating predictions, a growing line of work studies the…

Data Structures and Algorithms · Computer Science 2026-05-27 Yongho Shin , Phanu Vajanopath

We consider online fractional covering problems with a convex objective, where the covering constraints arrive over time. Formally, we want to solve $\min\,\{f(x) \mid Ax\ge \mathbf{1},\, x\ge 0\},$ where the objective function…

Data Structures and Algorithms · Computer Science 2014-12-30 Niv Buchbinder , Shahar Chen , Anupam Gupta , Viswanath Nagarajan , Joseph , Naor

We introduce the online stochastic Convex Programming (CP) problem, a very general version of stochastic online problems which allows arbitrary concave objectives and convex feasibility constraints. Many well-studied problems like online…

Machine Learning · Computer Science 2014-10-29 Shipra Agrawal , Nikhil R. Devanur

Online Set Cover and Load Balancing are central problems in online optimization, and there is a long line of work on developing algorithms for these problems with convex objectives. Although we know optimal online algorithms with…

Data Structures and Algorithms · Computer Science 2025-08-27 Thomas Kesselheim , Marco Molinaro , Kalen Patton , Sahil Singla

Decision-makers often have access to machine-learned predictions about future demand that can help guide online resource allocation decisions. However, such predictions may be inaccurate. We develop a framework for online resource…

Data Structures and Algorithms · Computer Science 2026-05-19 Negin Golrezaei , Patrick Jaillet , Zijie Zhou

The domain of online algorithms with predictions has been extensively studied for different applications such as scheduling, caching (paging), clustering, ski rental, etc. Recently, Bamas et al., aiming for an unified method, have provided…

Data Structures and Algorithms · Computer Science 2021-10-04 Nguyen Kim Thang , Christoph Durr

We consider the decision-making framework of online convex optimization with a very large number of experts. This setting is ubiquitous in contextual and reinforcement learning problems, where the size of the policy class renders…

Machine Learning · Computer Science 2021-02-19 Elad Hazan , Karan Singh

Lykouris and Vassilvitskii (ICML 2018) introduce a model of online caching with machine-learned advice, where each page request additionally comes with a prediction of when that page will next be requested. In this model, a natural goal is…

Data Structures and Algorithms · Computer Science 2020-05-29 Alexander Wei

We incorporate future information in the form of the estimated value of future gradients in online convex optimization. This is motivated by demand response in power systems, where forecasts about the current round, e.g., the weather or the…

Optimization and Control · Mathematics 2020-12-14 Antoine Lesage-Landry , Iman Shames , Joshua A. Taylor

The online assignment problem plays an important role in operational research and computer science which is why immense attention has been given to improving its solution quality. Due to the incomplete information about the input, it is…

Computational Complexity · Computer Science 2022-08-09 Clarence Gabriel R. Kasilag , Pollux M. Rey , Jhoirene B. Clemente

We give an algorithmic framework for minimizing general convex objectives (that are differentiable and monotone non-decreasing) over a set of covering constraints that arrive online. This substantially extends previous work on online…

Data Structures and Algorithms · Computer Science 2014-12-12 Yossi Azar , Ilan Reuven Cohen , Debmalya Panigrahi

Applications abound in which optimization problems must be repeatedly solved, each time with new (but similar) data. Analytic optimization algorithms can be hand-designed to provably solve these problems in an iterative fashion. On one…

Optimization and Control · Mathematics 2022-09-28 Howard Heaton , Xiaohan Chen , Zhangyang Wang , Wotao Yin
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