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In this paper, we study the problem of constructing a network by observing ordered connectivity constraints, which we define herein. These ordered constraints are made to capture realistic properties of real-world problems that are not…

Data Structures and Algorithms · Computer Science 2017-02-24 Yi Huang , Mano Vikash Janardhanan , Lev Reyzin

We design the first online algorithm with poly-logarithmic competitive ratio for the edge-weighted degree-bounded Steiner forest(EW-DB-SF) problem and its generalized variant. We obtain our result by demonstrating a new generic approach for…

Data Structures and Algorithms · Computer Science 2017-04-20 Sina Dehghani , Soheil Ehsani , MohammadTaghi Hajiaghayi , Vahid Liaghat , Harald Racke , Saeed Seddighin

Online learning is the process of answering a sequence of questions based on the correct answers to the previous questions. It is studied in many research areas such as game theory, information theory and machine learning. There are two…

Machine Learning · Computer Science 2019-03-27 Ankit Sharma , Late C. A. Murthy

We consider the online control problem with an unknown linear dynamical system in the presence of adversarial perturbations and adversarial convex loss functions. Although the problem is widely studied in model-based control, it remains…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Zishun Liu , Yongxin Chen

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

As more data are produced each day, and faster, data stream mining is growing in importance, making clear the need for algorithms able to fast process these data. Data stream mining algorithms are meant to be solutions to extract knowledge…

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

Online learning algorithms for dynamical systems provide finite time guarantees for control in the presence of sequentially revealed cost functions. We pose the classical linear quadratic tracking problem in the framework of online…

Systems and Control · Electrical Eng. & Systems 2024-10-18 Aren Karapetyan , Diego Bolliger , Anastasios Tsiamis , Efe C. Balta , John Lygeros

One of the main strengths of online algorithms is their ability to adapt to arbitrary data sequences. This is especially important in nonparametric settings, where performance is measured against rich classes of comparator functions that…

Machine Learning · Computer Science 2020-11-03 Ilja Kuzborskij , Nicolò Cesa-Bianchi

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

We study online multicalibration beyond the worst-case. We give a single, efficient algorithm which dynamically interpolates between benign and worst-case sequences by adaptively refining a dyadic grid of prediction values. Its error is…

Machine Learning · Computer Science 2026-05-22 Zhiming Huang , Jamie Morgenstern , Aaron Roth , Claire Jie Zhang

We study the relationship between the competitive ratio and the tail distribution of randomized online minimization problems. To this end, we define a broad class of online problems that includes some of the well-studied problems like…

Data Structures and Algorithms · Computer Science 2013-02-15 Dennis Komm , Rastislav Královič , Richard Královič , Tobias Mömke

In the problem of edge sign prediction, we are given a directed graph (representing a social network), and our task is to predict the binary labels of the edges (i.e., the positive or negative nature of the social relationships). Many…

Machine Learning · Computer Science 2017-03-02 Géraud Le Falher , Nicolò Cesa-Bianchi , Claudio Gentile , Fabio Vitale

The study of online algorithms with machine-learned predictions has gained considerable prominence in recent years. One of the common objectives in the design and analysis of such algorithms is to attain (Pareto) optimal tradeoffs between…

Machine Learning · Computer Science 2024-08-09 Spyros Angelopoulos , Christoph Dürr , Alex Elenter , Yanni Lefki

We revisit the problem of estimating the parameters of a partially observed diffusion process, consisting of a hidden state process and an observed process, with a continuous time parameter. The estimation is to be done online, i.e. the…

Optimization and Control · Mathematics 2018-10-16 Simone Carlo Surace , Jean-Pascal Pfister

We consider the problem of graph searching with prediction recently introduced by Banerjee et al. (2022). In this problem, an agent, starting at some vertex $r$ has to traverse a (potentially unknown) graph $G$ to find a hidden goal node…

Data Structures and Algorithms · Computer Science 2024-03-19 Adela Frances DePavia , Erasmo Tani , Ali Vakilian

Mixed linear regression (MLR) is a powerful model for characterizing nonlinear relationships by utilizing a mixture of linear regression sub-models. The identification of MLR is a fundamental problem, where most of the existing results…

Machine Learning · Statistics 2023-12-01 Yujing Liu , Zhixin Liu , Lei Guo

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

This paper addresses a graph optimization problem, called the Witness Tree problem, which seeks a spanning tree of a graph minimizing a certain non-linear objective function. This problem is of interest because it plays a crucial role in…

Data Structures and Algorithms · Computer Science 2023-05-09 Dylan Hyatt-Denesik , Afrouz Jabal Ameli , Laura Sanità

Large neural networks pretrained on web-scale corpora are central to modern machine learning. In this paradigm, the distribution of the large, heterogeneous pretraining data rarely matches that of the application domain. This work considers…

Machine Learning · Computer Science 2023-11-21 David Grangier , Pierre Ablin , Awni Hannun
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