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We study the statistical properties of large random networks with specified degree distributions. New techniques are presented for analyzing the structure of social networks. Specifically, we address the question of how many nodes exist at…

Physics and Society · Physics 2007-05-23 Erik Volz

Real-world networks evolve over time via additions or removals of vertices and edges. In current network evolution models, vertex degree varies or grows arbitrarily. A recently introduced degree-preserving network growth (DPG) family of…

Combinatorics · Mathematics 2024-01-09 Péter L. Erdős , Shubha R. Kharel , Tamás R. Mezei , Zoltán Toroczkai

Structured pruning is a popular method to reduce the cost of convolutional neural networks, that are the state of the art in many computer vision tasks. However, depending on the architecture, pruning introduces dimensional discrepancies…

Neural and Evolutionary Computing · Computer Science 2022-12-13 Hugo Tessier , Vincent Gripon , Mathieu Léonardon , Matthieu Arzel , David Bertrand , Thomas Hannagan

We study the growth of bipartite networks in which the number of nodes in one of the partitions is kept fixed while the other partition is allowed to grow. We study random and preferential attachment as well as combination of both. We…

Disordered Systems and Neural Networks · Physics 2009-11-13 Fernando Peruani , Monojit Choudhury , Animesh Mukherjee , Niloy Ganguly

This work proposes a novel framework based on nested evolving set processes to accelerate Personalized PageRank (PPR) computation. At each stage of the process, we employ a localized inexact proximal point iteration to solve a simplified…

Machine Learning · Computer Science 2025-10-28 Binbin Huang , Luo Luo , Yanghua Xiao , Deqing Yang , Baojian Zhou

We consider the problem of selecting important nodes in a random network, where the nodes connect to each other randomly with certain transition probabilities. The node importance is characterized by the stationary probabilities of the…

Methodology · Statistics 2019-01-14 Haidong Li , Xiaoyun Xu , Yijie Peng , Chun-Hung Chen

Optimizing over the stationary distribution of stochastic differential equations (SDEs) is computationally challenging. A new forward propagation algorithm has been recently proposed for the online optimization of SDEs. The algorithm solves…

Probability · Mathematics 2022-07-12 Ziheng Wang , Justin Sirignano

We discuss how various models of scale-free complex networks approach their limiting properties when the size N of the network grows. We focus mainly on equilibrated networks and their finite-size degree distributions. Our results show that…

Statistical Mechanics · Physics 2009-11-13 B. Waclaw , L. Bogacz , W. Janke

We propose a general class of co-evolving tree network models driven by local exploration where new vertices attach to the current network via randomly sampling a vertex and then exploring the graph for a random number of steps in the…

Probability · Mathematics 2024-03-05 Sayan Banerjee , Shankar Bhamidi , Xiangying Huang

The Stochastic Extragradient (SEG) method is one of the most popular algorithms for solving finite-sum min-max optimization and variational inequality problems (VIPs) appearing in various machine learning tasks. However, existing…

Optimization and Control · Mathematics 2024-10-11 Konstantinos Emmanouilidis , René Vidal , Nicolas Loizou

Nested named entity recognition (nested NER) is a fundamental task in natural language processing. Various span-based methods have been proposed to detect nested entities with span representations. However, span-based methods do not…

Computation and Language · Computer Science 2022-09-07 Shuhui Wu , Yongliang Shen , Zeqi Tan , Weiming Lu

In-network distributed estimation of sparse parameter vectors via diffusion LMS strategies has been studied and investigated in recent years. In all the existing works, some convex regularization approach has been used at each node of the…

Machine Learning · Computer Science 2016-11-15 Bijit Kumar Das , Mrityunjoy Chakraborty , Jerónimo Arenas-García

The study of evolution of networks has received increased interest with the recent discovery that many real-world networks possess many things in common, in particular the manner of evolution of such networks. By adding a dimension of time…

Combinatorics · Mathematics 2010-06-24 Anurat Chapanond , Mukkai S. Krishnamoorthy , G. M. Prabhu , J. Punin

Evolution Strategies (ES) emerged as a scalable alternative to popular Reinforcement Learning (RL) techniques, providing an almost perfect speedup when distributed across hundreds of CPU cores thanks to a reduced communication overhead.…

Machine Learning · Statistics 2018-11-13 Víctor Campos , Xavier Giro-i-Nieto , Jordi Torres

A network growth mechanism based on a two-step preferential rule is investigated as a model of network growth in which no global knowledge of the network is required. In the first filtering step a subset of fixed size $m$ of existing nodes…

Disordered Systems and Neural Networks · Physics 2009-11-10 Hrvoje Stefancic , Vinko Zlatic

Exponential random graph models (ERGMs), also known as p* models, have been utilized extensively in the social science literature to study complex networks and how their global structure depends on underlying structural components. However,…

Applications · Statistics 2015-05-19 Sean L. Simpson , Satoru Hayasaka , Paul J. Laurienti

Network embedding assigns nodes in a network to low-dimensional representations and effectively preserves the network structure. Recently, a significant amount of progresses have been made toward this emerging network analysis paradigm. In…

Social and Information Networks · Computer Science 2017-11-27 Peng Cui , Xiao Wang , Jian Pei , Wenwu Zhu

Real-world graphs grow rapidly with edge and vertex insertions over time, motivating the problem of efficiently maintaining robust node representation over evolving graphs. Recent efficient GNNs are designed to decouple recursive message…

Machine Learning · Computer Science 2024-11-12 Xingzhi Guo , Silong Wang , Baojian Zhou , Yanghua Xiao , Steven Skiena

Deep convolutional neural networks have been widely used in numerous applications, but their demanding storage and computational resource requirements prevent their applications on mobile devices. Knowledge distillation aims to optimize a…

Machine Learning · Computer Science 2018-12-18 Hanting Chen , Yunhe Wang , Chang Xu , Chao Xu , Dacheng Tao

Most efforts in interpretability in deep learning have focused on (1) extracting explanations of a specific downstream task in relation to the input features and (2) imposing constraints on the model, often at the expense of predictive…

Machine Learning · Computer Science 2022-02-22 Marco Bertolini , Djork-Arné Clevert , Floriane Montanari