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Graphs are one of the most efficacious structures for representing datapoints and their relations, and they have been largely exploited for different applications. Previously, the higher-order relations between the nodes have been modeled…

机器学习 · 计算机科学 2021-02-17 Sara Abdali , Neil Shah , Evangelos E. Papalexakis

Network flow is a powerful mathematical framework to systematically explore the relationship between structure and function in biological, social, and technological networks. We introduce a new pipelining model of flow through networks…

神经与进化计算 · 计算机科学 2019-11-04 Lavanya Marla , Lav R. Varshney , Devavrat Shah , Nirmal A. Prakash , Michael E. Gale

Network systems are one of the most active research areas in the engineering community as they feature a paradigm shift from centralized to distributed control and computation. When dealing with network systems, a fundamental challenge is…

系统与控制 · 计算机科学 2018-02-26 D. Senejohnny , S. Sundaram , C. De Persis , P. Tesi

Universality of neural networks describes the ability to approximate arbitrary function, and is a key ingredient to keep the method effective. The established models for universal quantum neural networks(QNN), however, require the…

量子物理 · 物理学 2021-10-22 Xiaokai Hou , Guanyu Zhou , Qingyu Li , Shan Jin , Xiaoting Wang

A new paradigm of quantum computing, namely, soft quantum computing, is proposed for nonclassical computation using real world quantum systems with naturally occurring environment-induced decoherence and dissipation. As a specific example…

量子物理 · 物理学 2018-10-12 Zeng-Bing Chen

A temporal point process is a mathematical model for a time series of discrete events, which covers various applications. Recently, recurrent neural network (RNN) based models have been developed for point processes and have been found…

机器学习 · 计算机科学 2020-01-13 Takahiro Omi , Naonori Ueda , Kazuyuki Aihara

This article investigates the performance of grid computing systems whose interconnections are given by random and scale-free complex network models. Regular networks, which are common in parallel computing architectures, are also used as a…

统计力学 · 物理学 2009-11-10 Luciano da Fontoura Costa , Gonzalo Travieso , Carlos Antonio Ruggiero

Generative Adversarial Networks (GANs) are a class of generative algorithms that have been shown to produce state-of-the art samples, especially in the domain of image creation. The fundamental principle of GANs is to approximate the…

机器学习 · 统计学 2018-03-22 G. Biau , B. Cadre , M. Sangnier , U. Tanielian

We present a formal, mathematical foundation for modeling and reasoning about the behavior of $synchronous$, $stochastic$ $Spiking$ $Neural$ $Networks$ $(SNNs)$, which have been widely used in studies of neural computation. Our approach…

分布式、并行与集群计算 · 计算机科学 2022-10-10 Nancy Lynch , Cameron Musco

In a recent article [1] we surveyed advances related to adaptation, learning, and optimization over synchronous networks. Various distributed strategies were discussed that enable a collection of networked agents to interact locally in…

最优化与控制 · 数学 2017-12-13 Ali H. Sayed , Xiaochuan Zhao

A core challenge in causal artificial intelligence is the principled coordination of multiple, imperfect, and subjective causal perspectives arising from distributed agents with limited and heterogeneous access to the environment. This…

人工智能 · 计算机科学 2026-04-30 Gabriele D'Acunto , Paolo Di Lorenzo , Sergio Barbarossa

Dataflow matrix machines arise naturally in the context of synchronous dataflow programming with linear streams. They can be viewed as a rather powerful generalization of recurrent neural networks. Similarly to recurrent neural networks,…

编程语言 · 计算机科学 2018-08-07 Michael Bukatin , Steve Matthews , Andrey Radul

Networks are essential models in many applications such as information technology, chemistry, power systems, transportation, neuroscience, and social sciences. In light of such broad applicability, a general theory of dynamical systems on…

偏微分方程分析 · 数学 2024-02-06 Alexandre M. Bayen , Alexander Keimer , Nils Müller

This paper considers a problem of quantum communication between parties that are connected through a network of quantum channels. The model in this paper assumes that there is no prior entanglement shared among any of the parties, but that…

量子物理 · 物理学 2016-05-30 Hirotada Kobayashi , Francois Le Gall , Harumichi Nishimura , Martin Roetteler

We study asynchronous federated learning mechanisms with nodes having potentially different computational speeds. In such an environment, each node is allowed to work on models with potential delays and contribute to updates to the central…

分布式、并行与集群计算 · 计算机科学 2024-05-02 Louis Leconte , Matthieu Jonckheere , Sergey Samsonov , Eric Moulines

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

机器学习 · 统计学 2022-12-21 Madeline Navarro , Santiago Segarra

In this paper, we consider a queueing network with $N$ nodes, each of which has a fixed number $k$ of neighboring nodes, referred to as the $N$ node network with local balancing. We assume that to each of the $N$ nodes, an incoming job (or…

概率论 · 数学 2020-01-09 Qihui Bu , Liwei Liu , Yiqiang Q. Zhao

We consider the problem of approximating flow functions of continuous-time dynamical systems with inputs. It is well-known that continuous-time recurrent neural networks are universal approximators of this type of system. In this paper, we…

系统与控制 · 电气工程与系统科学 2023-09-20 Miguel Aguiar , Amritam Das , Karl H. Johansson

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

应用统计 · 统计学 2010-10-06 Mark S. Handcock , Krista J. Gile

We introduce logical synchrony, a framework that allows distributed computing to be coordinated as tightly as in synchronous systems without the distribution of a global clock or any reference to universal time. We develop a model of events…

分布式、并行与集群计算 · 计算机科学 2024-07-08 Sanjay Lall , Calin Cascaval , Martin Izzard , Tammo Spalink