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We consider non-clairvoyant scheduling with online precedence constraints, where an algorithm is oblivious to any job dependencies and learns about a job only if all of its predecessors have been completed. Given strong impossibility…

Data Structures and Algorithms · Computer Science 2023-01-31 Alexandra Lassota , Alexander Lindermayr , Nicole Megow , Jens Schlöter

The field of adversarial robustness has attracted significant attention in machine learning. Contrary to the common approach of training models that are accurate in average case, it aims at training models that are accurate for worst case…

Machine Learning · Computer Science 2020-10-12 Oriol Barbany Mayor

We consider a simple approach to solving assortment optimization under the random utility maximization model. The approach uses Monte-Carlo simulation to construct a ranking-based choice model that serves as a proxy for the true choice…

Optimization and Control · Mathematics 2025-10-02 Hassaan Khalid , Bradley Sturt

Online algorithm is an important branch in algorithm design. Designing online algorithms with a bounded competitive ratio (in terms of worst-case performance) can be hard and usually relies on problem-specific assumptions. Inspired by…

Machine Learning · Computer Science 2021-11-22 Bingqian Du , Zhiyi Huang , Chuan Wu

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-21 Elli Zavou , Antonio Fernández Anta

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

Computer Science and Game Theory · Computer Science 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

The problem of reinforcement learning is considered where the environment or the model undergoes a change. An algorithm is proposed that an agent can apply in such a problem to achieve the optimal long-time discounted reward. The algorithm…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Wuxia Chen , Taposh Banerjee , Jemin George , Carl Busart

Many real-life planning problems require making a priori decisions before all parameters of the problem have been revealed. An important special case of such problem arises in scheduling problems, where a set of tasks needs to be assigned…

Data Structures and Algorithms · Computer Science 2016-07-11 David Adjiashvili , Viktor Bindewald , Dennis Michaels

The fractional knapsack problem is one of the classical problems in combinatorial optimization, which is well understood in the offline setting. However, the corresponding online setting has been handled only briefly in the theoretical…

Data Structures and Algorithms · Computer Science 2022-01-31 Jeff Giliberti , Andreas Karrenbauer

Though competitive analysis is often a very good tool for the analysis of online algorithms, sometimes it does not give any insight and sometimes it gives counter-intuitive results. Much work has gone into exploring other performance…

Data Structures and Algorithms · Computer Science 2017-06-14 Joan Boyar , Leah Epstein , Lene M. Favrholdt , Kim S. Larsen , Asaf Levin

Randomized sampling based algorithms are widely used in robot motion planning due to the problem's intractability, and are experimentally effective on a wide range of problem instances. Most variants do not sample uniformly at random, and…

Establishing appropriate mathematical models for complex systems in natural phenomena not only helps deepen our understanding of nature but can also be used for state estimation and prediction. However, the extreme complexity of natural…

Machine Learning · Computer Science 2024-03-27 Cheng Fang , Jinqiao Duan

Online learning to rank (OLTR) interactively learns to choose lists of items from a large collection based on certain click models that describe users' click behaviors. Most recent works for this problem focus on the stochastic environment…

Machine Learning · Computer Science 2022-07-13 Cheng Chen , Canzhe Zhao , Shuai Li

This paper investigates the theory of robustness against adversarial attacks. We focus on randomized classifiers (\emph{i.e.} classifiers that output random variables) and provide a thorough analysis of their behavior through the lens of…

Machine Learning · Computer Science 2021-02-23 Rafael Pinot , Laurent Meunier , Florian Yger , Cédric Gouy-Pailler , Yann Chevaleyre , Jamal Atif

In the matroid buyback problem, an algorithm observes a sequence of bids and must decide whether to accept each bid at the moment it arrives, subject to a matroid constraint on the set of accepted bids. Decisions to reject bids are…

Computer Science and Game Theory · Computer Science 2009-11-30 Ashwinkumar B. V. , Robert Kleinberg

Deep neural networks have been successfully applied in various machine learning tasks. However, studies show that neural networks are susceptible to adversarial attacks. This exposes a potential threat to neural network-based intelligent…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Haimin Zhang , Min Xu

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 revisit the concept of "adversary" in online learning, motivated by solving robust optimization and adversarial training using online learning methods. While one of the classical setups in online learning deals with the "adversarial"…

Machine Learning · Computer Science 2021-01-28 Sebastian Pokutta , Huan Xu

We study a natural variant of scheduling that we call \emph{partial scheduling}: In this variant an instance of a scheduling problem along with an integer $k$ is given and one seeks an optimal schedule where not all, but only $k$ jobs, have…

Data Structures and Algorithms · Computer Science 2020-10-02 Jesper Nederlof , Céline Swennenhuis

We study the online unweighted bipartite matching problem in the random arrival order model, with $n$ offline and $n$ online vertices, in the learning-augmented setting: The algorithm is provided with untrusted predictions of the types…

Machine Learning · Computer Science 2025-12-01 Kunanon Burathep , Thomas Erlebach , William K. Moses