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A major technique in learning-augmented online algorithms is combining multiple algorithms or predictors. Since the performance of each predictor may vary over time, it is desirable to use not the single best predictor as a benchmark, but…

Machine Learning · Computer Science 2023-12-19 Antonios Antoniadis , Christian Coester , Marek Eliáš , Adam Polak , Bertrand Simon

The field of learning-augmented algorithms has gained significant attention in recent years. These algorithms, using potentially inaccurate predictions, must exhibit three key properties: consistency, robustness, and smoothness. In…

Data Structures and Algorithms · Computer Science 2025-01-23 Ziyad Benomar , Vianney Perchet

A standard way to obtain convergence guarantees in stochastic convex optimization is to run an online learning algorithm and then output the average of its iterates: the actual iterates of the online learning algorithm do not come with…

Machine Learning · Statistics 2019-03-05 Ashok Cutkosky

We address the challenge of finding algorithms for online allocation (i.e. bipartite matching) using a machine learning approach. In this paper, we focus on the AdWords problem, which is a classical online budgeted matching problem of both…

Machine Learning · Computer Science 2020-10-19 Goran Zuzic , Di Wang , Aranyak Mehta , D. Sivakumar

We consider online algorithms for the {\em page migration problem} that use predictions, potentially imperfect, to improve their performance. The best known online algorithms for this problem, due to Westbrook'94 and Bienkowski et al'17,…

Data Structures and Algorithms · Computer Science 2020-06-11 Piotr Indyk , Frederik Mallmann-Trenn , Slobodan Mitrović , Ronitt Rubinfeld

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

This paper investigates the online conversion problem, which involves sequentially trading a divisible resource (e.g., energy) under dynamically changing prices to maximize profit. A key challenge in online conversion is managing decisions…

Data Structures and Algorithms · Computer Science 2025-02-07 Yanzhao Wang , Hasti Nourmohammadi Sigaroudi , Bo Sun , Omid Ardakanian , Xiaoqi Tan

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

A variant of the online knapsack problem is considered in the settings of trusted and untrusted predictions. In Unit Profit Knapsack, the items have unit profit, and it is easy to find an optimal solution offline: Pack as many of the…

Data Structures and Algorithms · Computer Science 2022-03-02 Joan Boyar , Lene M. Favrholdt , Kim S. Larsen

In this paper, we investigate the online allocation problem of maximizing the overall revenue subject to both lower and upper bound constraints. Compared to the extensively studied online problems with only resource upper bounds, the…

Machine Learning · Computer Science 2023-01-31 Qixin Zhang , Wenbing Ye , Zaiyi Chen , Haoyuan Hu , Enhong Chen , Yang Yu

Online bipartite matching is a fundamental problem in online optimization, extensively studied both in its integral and fractional forms due to its theoretical significance and practical applications, such as online advertising and resource…

Data Structures and Algorithms · Computer Science 2025-10-30 Davin Choo , Billy Jin , Yongho Shin

We examine the problem of smoothed online optimization, where a decision maker must sequentially choose points in a normed vector space to minimize the sum of per-round, non-convex hitting costs and the costs of switching decisions between…

Machine Learning · Computer Science 2022-10-28 Daan Rutten , Nico Christianson , Debankur Mukherjee , Adam Wierman

In multi-objective optimization, a single decision vector must balance the trade-offs between many objectives. Solutions achieving an optimal trade-off are said to be Pareto optimal: these are decision vectors for which improving any one…

Optimization and Control · Mathematics 2023-08-07 Abhishek Roy , Geelon So , Yi-An Ma

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

We study a generalization of the advice complexity model of online computation in which the advice is provided by an untrusted source. Our objective is to quantify the impact of untrusted advice so as to design and analyze online algorithms…

Data Structures and Algorithms · Computer Science 2024-04-17 Spyros Angelopoulos , Christoph Dürr , Shendan Jin , Shahin Kamali , Marc Renault

Bitcoin is firmly becoming a mainstream asset in our global society. Its highly volatile nature has traders and speculators flooding into the market to take advantage of its significant price swings in the hope of making money. This work…

Machine Learning · Computer Science 2021-10-29 Nathan Crone , Eoin Brophy , Tomas Ward

Matching problems have been widely studied in the research community, especially Ad-Auctions with many applications ranging from network design to advertising. Following the various advancements in machine learning, one natural question is…

Data Structures and Algorithms · Computer Science 2024-02-15 Eniko Kevi , Nguyen Kim Thang

We study online boosting, the task of converting any weak online learner into a strong online learner. Based on a novel and natural definition of weak online learnability, we develop two online boosting algorithms. The first algorithm is an…

Machine Learning · Computer Science 2015-02-10 Alina Beygelzimer , Satyen Kale , Haipeng Luo

The online knapsack problem is a classic problem in the field of online algorithms. Its canonical version asks how to pack items of different values and weights arriving online into a capacity-limited knapsack so as to maximize the total…

Machine Learning · Computer Science 2024-04-18 Adam Lechowicz , Rik Sengupta , Bo Sun , Shahin Kamali , Mohammad Hajiesmaili

We consider an online version of the well-studied network utility maximization problem, where users arrive one by one and an operator makes irrevocable decisions for each user without knowing the details of future arrivals. We propose a…

Data Structures and Algorithms · Computer Science 2021-01-27 Ying Cao , Bo Sun , Danny H. K. Tsang