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How can we approximate sparse graphs and sequences of sparse graphs (with unbounded average degree)? We consider convergence in the first $k$ moments of the graph spectrum (equivalent to the numbers of closed $k$-walks) appropriately…

组合数学 · 数学 2022-02-07 Samantha Petti , Santosh S. Vempala

Recovering latent structure from count data has received considerable attention in network inference, particularly when one seeks both cross-group interactions and within-group similarity patterns in bipartite networks, which is widely used…

机器学习 · 统计学 2026-04-27 Aoran Zhang , Tianyao Wei , Maria J. Guerrero , César A. Uribe

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

数值分析 · 数学 2016-06-07 Victor Y. Pan , Liang Zhao

In the last 15 years, statistical physics has been a very successful framework to model complex networks. On the theoretical side, this approach has brought novel insights into a variety of physical phenomena, such as self-organisation,…

The analysis of datasets taking the form of simple, undirected graphs continues to gain in importance across a variety of disciplines. Two choices of null model, the logistic-linear model and the implicit log-linear model, have come into…

统计理论 · 数学 2012-02-13 Patrick O. Perry , Patrick J. Wolfe

One of the fundamental task in graph data mining is to find a planted community(dense subgraph), which has wide application in biology, finance, spam detection and so on. For a real network data, the existence of a dense subgraph is…

统计方法学 · 统计学 2021-01-18 Mingao Yuan , Qian Wen

The configuration model is a standard tool for uniformly generating random graphs with a specified degree sequence, and is often used as a null model to evaluate how much of an observed network's structure can be explained by its degree…

社会与信息网络 · 计算机科学 2023-05-31 Upasana Dutta , Bailey K. Fosdick , Aaron Clauset

Community detection, which focuses on recovering the group structure within networks, is a crucial and fundamental task in network analysis. However, the detection process can be quite challenging and unstable when community signals are…

统计理论 · 数学 2025-03-11 Tianchen Gao , Jingyuan Liu , Rui Pan , Ao Sun

Neural networks often exhibit simplicity bias, favoring simpler features over more complex ones, even when both are equally predictive. We introduce a novel method called imbalanced label coupling to explore and extend this simplicity bias…

机器学习 · 计算机科学 2024-10-23 Zhehang Du

We consider the task of topology discovery of sparse random graphs using end-to-end random measurements (e.g., delay) between a subset of nodes, referred to as the participants. The rest of the nodes are hidden, and do not provide any…

社会与信息网络 · 计算机科学 2012-03-06 Animashree Anandkumar , Avinatan Hassidim , Jonathan Kelner

Random walks play an important role in probing the structure of complex networks. On traditional networks, they can be used to extract community structure, understand node centrality, perform link prediction, or capture the similarity…

物理与社会 · 物理学 2024-06-13 Shazia'Ayn Babul , Yu Tian , Renaud Lambiotte

The present work deals with active sampling of graph nodes representing training data for binary classification. The graph may be given or constructed using similarity measures among nodal features. Leveraging the graph for classification…

机器学习 · 统计学 2018-10-17 Dimitris Berberidis , Georgios B. Giannakis

In order to detect patterns in real networks, randomized graph ensembles that preserve only part of the topology of an observed network are systematically used as fundamental null models. However, their generation is still problematic. The…

数据分析、统计与概率 · 物理学 2014-01-14 Tiziano Squartini , Diego Garlaschelli

Brain connectivity analysis is now at the foreground of neuroscience research. A connectivity network is characterized by a graph, where nodes represent neural elements such as neurons and brain regions, and links represent statistical…

统计方法学 · 统计学 2015-11-04 Yin Xia , Lexin Li

Data subsampling is widely used to speed up the training of large-scale recommendation systems. Most subsampling methods are model-based and often require a pre-trained pilot model to measure data importance via e.g. sample hardness.…

信息检索 · 计算机科学 2023-06-19 Xiaohui Chen , Jiankai Sun , Taiqing Wang , Ruocheng Guo , Li-Ping Liu , Aonan Zhang

This paper studies the matched network inference problem, where the goal is to determine if two networks, defined on a common set of nodes, exhibit a specific form of stochastic similarity. Two notions of similarity are considered: (i)…

统计方法学 · 统计学 2025-02-06 Somnath Bhadra , Kaustav Chakraborty , Srijan Sengupta , Soumendra Lahiri

Complex network theory crucially depends on the assumptions made about the degree distribution, while fitting degree distributions to network data is challenging, in particular for scale-free networks with power-law degrees. We present a…

物理与社会 · 物理学 2022-12-28 Judith Brugman , Johan S. H. van Leeuwaarden , Clara Stegehuis

In this paper, we present confidence inference approachin an unsupervised way in stereo matching. Deep Neu-ral Networks (DNNs) have recently been achieving state-of-the-art performance. However, it is often hard to tellwhether the trained…

计算机视觉与模式识别 · 计算机科学 2018-09-27 Ruichao Xiao , Wenxiu Sun , Chengxi Yang

Single-source and top-$k$ SimRank queries are two important types of similarity search in graphs with numerous applications in web mining, social network analysis, spam detection, etc. A plethora of techniques have been proposed for these…

数据库 · 计算机科学 2018-10-30 Yu Liu , Bolong Zheng , Xiaodong He , Zhewei Wei , Xiaokui Xiao , Kai Zheng , Jiaheng Lu

Inferring directional couplings from the spike data of networks is desired in various scientific fields such as neuroscience. Here, we apply a recently proposed objective procedure to the spike data obtained from the Hodgkin--Huxley type…

神经元与认知 · 定量生物学 2020-01-29 Yu Terada , Tomoyuki Obuchi , Takuya Isomura , Yoshiyuki Kabashima