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We present time-efficient distributed algorithms for decomposing graphs with large edge or vertex connectivity into multiple spanning or dominating trees, respectively. As their primary applications, these decompositions allow us to achieve…

Data Structures and Algorithms · Computer Science 2013-11-22 Keren Censor-Hillel , Mohsen Ghaffari , Fabian Kuhn

In modern large-scale systems with sensor networks and IoT devices it is essential to collaboratively solve complex problems while utilizing network resources efficiently. In our paper we present three distributed optimization algorithms…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Secure multiparty computation (MPC) on incomplete communication networks has been studied within two primary models: (1) Where a partial network is fixed a priori, and thus corruptions can occur dependent on its structure, and (2) Where…

Cryptography and Security · Computer Science 2023-06-22 Elette Boyle , Ran Cohen , Deepesh Data , Pavel Hubáček

Learning a graph topology to reveal the underlying relationship between data entities plays an important role in various machine learning and data analysis tasks. Under the assumption that structured data vary smoothly over a graph, the…

Machine Learning · Statistics 2023-08-23 Xingyue Pu , Tianyue Cao , Xiaoyun Zhang , Xiaowen Dong , Siheng Chen

We suggest a general oracle-based framework that captures different parallel stochastic optimization settings described by a dependency graph, and derive generic lower bounds in terms of this graph. We then use the framework and derive…

Optimization and Control · Mathematics 2019-02-12 Blake Woodworth , Jialei Wang , Adam Smith , Brendan McMahan , Nathan Srebro

In recent years, the expander decomposition method was used to develop many graph algorithms, resulting in major improvements to longstanding complexity barriers. This powerful hammer has led the community to (1) believe that most problems…

Data Structures and Algorithms · Computer Science 2022-11-28 Amir Abboud , Nathan Wallheimer

Our capacity to learn representations from data is related to our ability to design filters that can leverage their coupling with the underlying domain. Graph filters are one such tool for network data and have been used in a myriad of…

Signal Processing · Electrical Eng. & Systems 2022-03-16 Bishwadeep Das , Elvin Isufi

We consider the problem of minimizing the sum of cost functions pertaining to agents over a network whose topology is captured by a directed graph (i.e., asymmetric communication). We cast the problem into the ADMM setting, via a consensus…

Optimization and Control · Mathematics 2023-04-04 Dingran Yi , Nikolaos M. Freris

In this work, we aim to classify nodes of unstructured peer-to-peer networks with communication uncertainty, such as users of decentralized social networks. Graph Neural Networks (GNNs) are known to improve the accuracy of simple…

Machine Learning · Computer Science 2022-03-17 Emmanouil Krasanakis , Symeon Papadopoulos , Ioannis Kompatsiaris

Implementing linear transformations is a key task in the decentralized signal processing framework, which performs learning tasks on data sets distributed over multi-node networks. That kind of network can be represented by a graph.…

Signal Processing · Electrical Eng. & Systems 2020-11-24 Siavash Mollaebrahim , Baltasar Beferull-Lozano

We present a strongly polynomial-time algorithm to generate bandwidth optimal allgather/reduce-scatter on any network topology, with or without switches. Our algorithm constructs pipeline schedules achieving provably the best possible…

Networking and Internet Architecture · Computer Science 2023-06-02 Liangyu Zhao , Arvind Krishnamurthy

Deep graph generative modeling has proven capable of learning the distribution of complex, multi-scale structures characterizing real-world graphs. However, one of the main limitations of existing methods is their large output space, which…

Machine Learning · Computer Science 2023-06-01 Nathaniel Diamant , Alex M. Tseng , Kangway V. Chuang , Tommaso Biancalani , Gabriele Scalia

Dynamical systems comprised of autonomous agents arise in many relevant problems such as multi-agent robotics, smart grids, or smart cities. Controlling these systems is of paramount importance to guarantee a successful deployment. Optimal…

Machine Learning · Computer Science 2020-10-22 Fernando Gama , Ekaterina Tolstaya , Alejandro Ribeiro

Analyzing interconnection structures among underlying entities or objects in a dataset through the use of graph analytics has been shown to provide tremendous value in many application domains. However, graphs are not the primary…

Databases · Computer Science 2017-02-14 Konstantinos Xirogiannopoulos , Amol Deshpande

In this paper, we address a class of specially structured problems that include speed planning, for mobile robots and robotic manipulators, and dynamic programming. We develop two new numerical procedures, that apply to the general case and…

Optimization and Control · Mathematics 2019-10-21 Luca Consolini , Mattia Laurini , Marco Locatelli

We address real-time sampling and estimation of autoregressive Markovian sources in dynamic yet structurally similar multi-hop wireless networks. Each node caches samples from others and communicates over wireless collision channels, aiming…

Machine Learning · Computer Science 2026-01-27 Xingran Chen , Navid NaderiAlizadeh , Alejandro Ribeiro , Shirin Saeedi Bidokhti

Many robotics applications benefit from being able to compute multiple locally optimal paths in a given configuration space. Examples include path planning for of tethered robots with cable-length constraints, systems involving cables,…

Robotics · Computer Science 2023-07-12 Alp Sahin , Subhrajit Bhattacharya

Node-link diagrams are widely used to visualize graphs. Most graph layout algorithms only use graph topology for aesthetic goals (e.g., minimize node occlusions and edge crossings) or use node attributes for exploration goals (e.g.,…

Data Structures and Algorithms · Computer Science 2023-01-20 Leixian Shen , Zhiwei Tai , Enya Shen , Jianmin Wang

We study the decentralized consensus and stochastic optimization problems with compressed communications over static directed graphs. We propose an iterative gradient-based algorithm that compresses messages according to a desired…

Optimization and Control · Mathematics 2022-04-19 Mohammad Taha Toghani , César A. Uribe

This paper looks at the task of network topology inference, where the goal is to learn an unknown graph from nodal observations. One of the novelties of the approach put forth is the consideration of prior information about the density of…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Samuel Rey , T. Mitchell Roddenberry , Santiago Segarra , Antonio G. Marques