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The randomized online-LOCAL model captures a number of models of computing; it is at least as strong as all of these models: - the classical LOCAL model of distributed graph algorithms, - the quantum version of the LOCAL model, - finitely…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-19 Anubhav Dhar , Eli Kujawa , Henrik Lievonen , Augusto Modanese , Mikail Muftuoglu , Jan Studený , Jukka Suomela

Motivated by applications to sensor networks, as well as to many other areas, this paper studies the construction of minimum-degree spanning trees. We consider the classical node-register state model, with a weakly fair scheduler, and we…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-12 Lélia Blin , Pierre Fraigniaud

A labeling scheme for nearest common ancestors assigns a distinct binary string, called the label, to every node of a tree, so that given the labels of two nodes (and no further information about the topology of the tree) we can compute the…

Data Structures and Algorithms · Computer Science 2017-07-20 Paweł Gawrychowski , Jakub Łopuszański

Given two rooted, ordered, and labeled trees $P$ and $T$ the tree inclusion problem is to determine if $P$ can be obtained from $T$ by deleting nodes in $T$. This problem has recently been recognized as an important query primitive in XML…

Data Structures and Algorithms · Computer Science 2011-01-19 Philip Bille , Inge Li Goertz

This paper describes an efficient reduction of the learning problem of ranking to binary classification. The reduction guarantees an average pairwise misranking regret of at most that of the binary classifier regret, improving a recent…

Machine Learning · Computer Science 2007-12-07 Nir Ailon , Mehryar Mohri

We present the zipper tree, an $O(\log \log n)$-competitive online binary search tree that performs each access in $O(\log n)$ worst-case time. This shows that for binary search trees, optimal worst-case access time and near-optimal…

Data Structures and Algorithms · Computer Science 2015-05-18 Prosenjit Bose , Karim Douïeb , Vida Dujmovic , Rolf Fagerberg

To address the contextual bandit problem, we propose an online random forest algorithm. The analysis of the proposed algorithm is based on the sample complexity needed to find the optimal decision stump. Then, the decision stumps are…

Machine Learning · Computer Science 2016-09-16 Raphaël Féraud , Robin Allesiardo , Tanguy Urvoy , Fabrice Clérot

We consider the problem of online linear regression in the stochastic setting. We derive high probability regret bounds for online ridge regression and the forward algorithm. This enables us to compare online regression algorithms more…

Machine Learning · Computer Science 2021-11-03 Reda Ouhamma , Odalric Maillard , Vianney Perchet

An L(2,1)-labeling of a graph $G$ is an assignment $f$ from the vertex set $V(G)$ to the set of nonnegative integers such that $|f(x)-f(y)|\ge 2$ if $x$ and $y$ are adjacent and $|f(x)-f(y)|\ge 1$ if $x$ and $y$ are at distance 2, for all…

Data Structures and Algorithms · Computer Science 2010-11-25 Toru Hasunuma , Toshimasa Ishii , Hirotaka Ono , Yushi Uno

A fundamental question for companies with large amount of logged data is: How to use such logged data together with incoming streaming data to make good decisions? Many companies currently make decisions via online A/B tests, but wrong…

Machine Learning · Computer Science 2020-11-10 Li Ye , Yishi Lin , Hong Xie , John C. S. Lui

We study the problem of online generalized linear regression in the stochastic setting, where the label is generated from a generalized linear model with possibly unbounded additive noise. We provide a sharp analysis of the classical…

Machine Learning · Computer Science 2023-03-28 Heyang Zhao , Dongruo Zhou , Jiafan He , Quanquan Gu

We consider locally checkable labeling LCL problems in the LOCAL model of distributed computing. Since 2016, there has been a substantial body of work examining the possible complexities of LCL problems. For example, it has been established…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-14 Yi-Jun Chang

We study the local complexity landscape of locally checkable labeling (LCL) problems on constant-degree graphs with a focus on complexities below $\log^* n$. Our contribution is threefold: Our main contribution is that we complete the…

Data Structures and Algorithms · Computer Science 2022-09-26 Christoph Grunau , Vaclav Rozhon , Sebastian Brandt

We revisit the problem of \textit{online linear optimization} in case the set of feasible actions is accessible through an approximated linear optimization oracle with a factor $\alpha$ multiplicative approximation guarantee. This setting…

Machine Learning · Computer Science 2017-09-12 Dan Garber

In this paper, we re-evaluate the basic strategies for label correcting algorithms for the multiobjective shortest path (MOSP) problem, i.e., node and label selection. In contrast to common believe, we show that---when carefully…

Data Structures and Algorithms · Computer Science 2016-04-28 Fritz Bökler , Petra Mutzel

Binary jumbled pattern matching asks to preprocess a binary string $S$ in order to answer queries $(i,j)$ which ask for a substring of $S$ that is of length $i$ and has exactly $j$ 1-bits. This problem naturally generalizes to…

Data Structures and Algorithms · Computer Science 2014-07-01 Travis Gagie , Danny Hermelin , Gad M. Landau , Oren Weimann

We study how to adapt to smoothly-varying ('easy') environments in well-known online learning problems where acquiring information is expensive. For the problem of label efficient prediction, which is a budgeted version of prediction with…

Machine Learning · Computer Science 2019-12-09 Siddharth Mitra , Aditya Gopalan

Partial-label learning (PLL) is a typical weakly supervised learning problem, where each training instance is equipped with a set of candidate labels among which only one is the true label. Most existing methods elaborately designed…

Machine Learning · Computer Science 2020-09-08 Jiaqi Lv , Miao Xu , Lei Feng , Gang Niu , Xin Geng , Masashi Sugiyama

Given a set of $n$ points (sites) inside a rectangle $R$ and $n$ points (label locations or ports) on its boundary, a boundary labeling problem seeks ways of connecting every site to a distinct port while achieving different labeling…

Computational Geometry · Computer Science 2018-03-30 Prosenjit Bose , Paz Carmi , J. Mark Keil , Saeed Mehrabi , Debajyoti Mondal

We consider multi-label classification where the goal is to annotate each data point with the most relevant $\textit{subset}$ of labels from an extremely large label set. Efficient annotation can be achieved with balanced tree predictors,…

Machine Learning · Computer Science 2020-06-11 Maryam Majzoubi , Anna Choromanska
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