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In this work, we analyze the generalization ability of distributed online learning algorithms under stationary and non-stationary environments. We derive bounds for the excess-risk attained by each node in a connected network of learners…

Optimization and Control · Mathematics 2016-07-19 Zaid J. Towfic , Jianshu Chen , Ali H. Sayed

This is a short note that formally presents the matching model for the theoretical study of self-adjusting networks as initially proposed in [1].

Networking and Internet Architecture · Computer Science 2020-06-22 Chen Avin , Chen Griner , Iosif Salem , Stefan Schmid

Algorithmic meta-theorems are general algorithmic results applying to a whole range of problems, rather than just to a single problem alone. They often have a "logical" and a "structural" component, that is they are results of the form:…

Logic in Computer Science · Computer Science 2009-02-23 Stephan Kreutzer

We consider a set-up in which there are multiple servers and multiple clients in a large distributed computing system. Clients request servers to process jobs. Servers can only process one job in unit time. There is no coordinating agent to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-18 Anindya S. Chakrabarti , Diptesh Ghosh

The problem of online scheduling of multi-server jobs is considered, where there are a total of $K$ servers, and each job requires concurrent service from multiple servers for it to be processed. Each job on its arrival reveals its…

Data Structures and Algorithms · Computer Science 2024-07-02 Rahul Vaze

Privacy-preserving distributed processing has recently attracted considerable attention. It aims to design solutions for conducting signal processing tasks over networks in a decentralized fashion without violating privacy. Many algorithms…

Cryptography and Security · Computer Science 2020-09-03 Qiongxiu Li , Jaron Skovsted Gundersen , Richard Heusdens , Mads Græsbøll Christensen

We study the $k$-server problem with time-windows. In this problem, each request $i$ arrives at some point $v_i$ of an $n$-point metric space at time $b_i$ and comes with a deadline $e_i$. One of the $k$ servers must be moved to $v_i$ at…

Data Structures and Algorithms · Computer Science 2021-11-18 Anupam Gupta , Amit Kumar , Debmalya Panigrahi

Online algorithms make decisions based on past inputs. In general, the decision may depend on the entire history of inputs. If many computers run the same online algorithm with the same input stream but are started at different times, they…

Data Structures and Algorithms · Computer Science 2022-10-14 Maciej Pacut , Mahmoud Parham , Joel Rybicki , Stefan Schmid , Jukka Suomela , Aleksandr Tereshchenko

We survey key techniques and results from approximation theory in the context of uniform approximations to real functions such as e^{-x}, 1/x, and x^k. We then present a selection of results demonstrating how such approximations can be used…

Data Structures and Algorithms · Computer Science 2013-09-20 Sushant Sachdeva , Nisheeth Vishnoi

For a provider of a Content Delivery Network (CDN), the location selection of mirror servers is a complex optimization problem. Generally, the objective is to place the nodes centralized such that all customers have convenient access to the…

Networking and Internet Architecture · Computer Science 2020-05-29 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

We prove tight network topology dependent bounds on the round complexity of computing well studied $k$-party functions such as set disjointness and element distinctness. Unlike the usual case in the CONGEST model in distributed computing,…

Computational Complexity · Computer Science 2016-11-02 Arkadev Chattopadhyay , Michael Langberg , Shi Li , Atri Rudra

This Ph.D. thesis contains original contributions to several areas within the disciplines of disordered systems, numerical linear algebra, and scientific computing: (1) Theoretical and numerical study of the errors caused by using certain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vincent E. Sacksteder

This paper aims to provide insight into stability of collaboration choices in P2P networks. We study networks where exchanges between nodes are driven by the desire to receive the best service available. This is the case for most existing…

Networking and Internet Architecture · Computer Science 2007-05-23 Dmitry Lebedev , Fabien Mathieu , Laurent Viennot , Anh-Tuan Gai , Julien Reynier , Fabien De Montgolfier

We introduce a framework for online structure theory. Our approach generalises notions arising independently in several areas of computability theory and complexity theory. We suggest a unifying approach using operators where we allow the…

Logic · Mathematics 2023-06-22 Rod Downey , Alexander Melnikov , Keng Meng Ng

In data stream clustering, systematic theory of stream clustering algorithms remains relatively scarce. Recently, density-based methods have gained attention. However, existing algorithms struggle to simultaneously handle arbitrarily…

Machine Learning · Computer Science 2026-05-07 Qifen Zeng , Haomin Bao , Yuanzhuo Hu , Zirui Zhang , Yuheng Zheng , Luosheng Wen

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

Computer Science and Game Theory · Computer Science 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

This thesis addresses the problem of providing trusted individuals with confidential information about other individuals, in particular, granting access to databases of personal records using the World-Wide Web. It proposes an access rights…

Cryptography and Security · Computer Science 2007-05-23 Walter Eaves

Constrained $k$-submodular maximization is a general framework that captures many discrete optimization problems such as ad allocation, influence maximization, personalized recommendation, and many others. In many of these applications,…

Data Structures and Algorithms · Computer Science 2023-05-26 Fabian Spaeh , Alina Ene , Huy L. Nguyen

In this paper we present an averaging technique applicable to the design of zeroth-order Nash equilibrium seeking algorithms. First, we propose a multi-timescale discrete-time averaging theorem that requires only that the equilibrium is…

Optimization and Control · Mathematics 2023-02-10 Suad Krilašević , Sergio Grammatico

This paper considers the recently popular beyond-worst-case algorithm analysis model which integrates machine-learned predictions with online algorithm design. We consider the online Steiner tree problem in this model for both directed and…

Machine Learning · Computer Science 2023-03-21 Chenyang Xu , Benjamin Moseley