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We consider a distributed computing framework where the distributed nodes have different communication capabilities, motivated by the heterogeneous networks in data centers and mobile edge computing systems. Following the structure of…

Information Theory · Computer Science 2019-08-20 Nishant Shakya , Fan Li , Jinyuan Chen

We study verification (decision) problems for graph properties in distributed networks under the locally checkable labeling framework, where nodes use labels (proofs) and local neighborhoods to decide acceptance or rejection. Our focus is…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-24 Paweł Garncarek , Tomasz Jurdzinski , Dariusz Kowalski , Subhajit Pramanick

With deep neural networks providing state-of-the-art machine learning models for numerous machine learning tasks, quantifying the robustness of these models has become an important area of research. However, most of the research literature…

Machine Learning · Computer Science 2019-01-08 Tsui-Wei Weng , Pin-Yu Chen , Lam M. Nguyen , Mark S. Squillante , Ivan Oseledets , Luca Daniel

A complementary label (CL) simply indicates an incorrect class of an example, but learning with CLs results in multi-class classifiers that can predict the correct class. Unfortunately, the problem setting only allows a single CL for each…

Machine Learning · Computer Science 2022-08-09 Lei Feng , Takuo Kaneko , Bo Han , Gang Niu , Bo An , Masashi Sugiyama

The fastest deterministic algorithms for connected components take logarithmic time and perform superlinear work on a Parallel Random Access Machine (PRAM). These algorithms maintain a spanning forest by merging and compressing trees, which…

Data Structures and Algorithms · Computer Science 2021-12-09 Paul Burkhardt

We consider the polyhedral properties of two spanning tree problems with additional constraints. In the first problem, it is required to find a tree with a minimum sum of edge weights among all spanning trees with the number of leaves less…

Combinatorics · Mathematics 2018-02-16 Vladimir Bondarenko , Andrei Nikolaev , Dzhambolet Shovgenov

Pseudo-Labeling is a simple and effective approach to semi-supervised learning. It requires criteria that guide the selection of pseudo-labeled data. The latter have been shown to crucially affect pseudo-labeling's generalization…

Machine Learning · Computer Science 2023-09-27 Julian Rodemann

We consider \emph{plurality consensus} in a network of $n$ nodes. Initially, each node has one of $k$ opinions. The nodes execute a (randomized) distributed protocol to agree on the plurality opinion (the opinion initially supported by the…

Data Structures and Algorithms · Computer Science 2016-02-04 Petra Berenbrink , Tom Friedetzky , Peter Kling , Frederik Mallmann-Trenn , Chris Wastell

The probabilistic graphs framework models the uncertainty inherent in real-world domains by means of probabilistic edges whose value quantifies the likelihood of the edge existence or the strength of the link it represents. The goal of this…

Artificial Intelligence · Computer Science 2012-05-25 Claudio Taranto , Nicola Di Mauro , Floriana Esposito

We consider two fundamental communication tasks in arbitrary radio networks: broadcasting (information from one source has to reach all nodes) and gossiping (every node has a message and all messages have to reach all nodes). Nodes are…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-11 Adam Gańczorz , Tomasz Jurdziński , Andrzej Pelc

In distributed optimization and machine learning, multiple nodes coordinate to solve large problems. To do this, the nodes need to compress important algorithm information to bits so that it can be communicated over a digital channel. The…

Optimization and Control · Mathematics 2020-12-02 Sindri Magnússon , Hossein Shokri-Ghadikolaei , Na Li

We consider scaling laws for maximal energy efficiency of communicating a message to all the nodes in a wireless network, as the number of nodes in the network becomes large. Two cases of large wireless networks are studied -- dense random…

Information Theory · Computer Science 2009-05-26 Aman Jain , Sanjeev R. Kulkarni , Sergio Verdu

Ensuring reliable confidence scores from deep networks is of pivotal importance in critical decision-making systems, notably in the medical domain. While recent literature on calibrating deep segmentation networks has led to significant…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Balamurali Murugesan , Sukesh Adiga , Bingyuan Liu , Hervé Lombaert , Ismail Ben Ayed , Jose Dolz

It is challenging to handle a large volume of labels in multi-label learning. However, existing approaches explicitly or implicitly assume that all the labels in the learning process are given, which could be easily violated in changing…

Machine Learning · Statistics 2016-04-20 Shan You , Chang Xu , Yunhe Wang , Chao Xu , Dacheng Tao

Suppose that there are $n$ Senders and $n$ Receivers. Our goal is to send long messages from Sender $i$ to Receiver $i$ such that no other receiver can retrieve the message intended for Receiver $i$. The task can easily be completed using…

Computational Complexity · Computer Science 2007-05-23 Vince Grolmusz

In this paper, we study the distributed sketching complexity of connectivity. In distributed graph sketching, an $n$-node graph $G$ is distributed to $n$ players such that each player sees the neighborhood of one vertex. The players then…

Data Structures and Algorithms · Computer Science 2020-07-27 Huacheng Yu

The problem of communicating a single message to a destination in presence of multiple relay nodes, referred to as cooperative unicast network, is considered. First, we introduce "Mixed Noisy Network Coding" (MNNC) scheme which generalizes…

Information Theory · Computer Science 2014-10-21 Arash Behboodi , Pablo Piantanida

Establishing end-to-end quantum connections requires quantified link characteristics, and operations need to coordinate decision-making between nodes across a network. We introduce the RuleSet-based communication protocol for supporting…

Quantum Physics · Physics 2019-11-20 Takaaki Matsuo , Clément Durand , Rodney Van Meter

Ensuring the correctness of distributed system implementations remains a challenging and largely unaddressed problem. In this paper we present a protocol that can be used to certify the safety of consensus implementations. Our proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-11 Aurojit Panda

How can we tell when accounts are fake or real in a social network? And how can we tell which accounts belong to liberal, conservative or centrist users? Often, we can answer such questions and label nodes in a network based on the labels…

Databases · Computer Science 2014-10-17 Wolfgang Gatterbauer , Stephan Günnemann , Danai Koutra , Christos Faloutsos