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Both empirical and theoretical investigations of scale-free network models have found that large degrees in a network exert an outsized impact on its structure. However, the tools used to infer the tail behavior of degree distributions in…

统计理论 · 数学 2024-10-31 Daniel Cirkovic , Tiandong Wang , Daren B. H. Cline

We study the empirical version of halfspace depths with the objective of establishing a connection between the rates of convergence and the tail behaviour of the corresponding underlying distributions. The intricate interplay between the…

统计理论 · 数学 2025-06-03 Sibsankar Singha , Marie Kratz , Sreekar Vadlamani

This article introduces a non-parametric information-theoretic approach to inference about the tail of a continuous or a discrete distribution. Leveraging a new concept named tail profile -- a set of information-theoretic quantities…

应用统计 · 统计学 2025-03-19 Jialin Zhang , Zhiyi Zhang

The degree distribution is one of the most fundamental graph properties of interest for real-world graphs. It has been widely observed in numerous domains that graphs typically have a tailed or scale-free degree distribution. While the…

数据结构与算法 · 计算机科学 2015-11-30 Olivia Simpson , C. Seshadhri , Andrew McGregor

An important task of community discovery in networks is assessing significance of the results and robust ranking of the generated candidate groups. Often in practice, numerous candidate communities are discovered, and focusing the analyst's…

社会与信息网络 · 计算机科学 2020-12-21 Omid Madani , Thanh Ngo , Weifei Zeng , Sai Ankith Averine , Sasidhar Evuru , Varun Malhotra , Shashidhar Gandham , Navindra Yadav

We propose a distance supervised relation extraction approach for long-tailed, imbalanced data which is prevalent in real-world settings. Here, the challenge is to learn accurate "few-shot" models for classes existing at the tail of the…

信息检索 · 计算机科学 2023-01-26 Ningyu Zhang , Shumin Deng , Zhanlin Sun , Guanying Wang , Xi Chen , Wei Zhang , Huajun Chen

This work introduces a method for fitting to the degree distributions of complex network datasets, such that the most appropriate distribution from a set of candidate distributions is chosen while maximizing the portion of the distribution…

物理与社会 · 物理学 2024-02-09 Shane Mannion , Pádraig MacCarron

Despite the successes of probabilistic models based on passing noise through neural networks, recent work has identified that such methods often fail to capture tail behavior accurately, unless the tails of the base distribution are…

机器学习 · 统计学 2023-06-16 Feynman Liang , Liam Hodgkinson , Michael W. Mahoney

The degree distribution is an important characteristic of complex networks. In many data analysis applications, the networks should be represented as fixed-length feature vectors and therefore the feature extraction from the degree…

社会与信息网络 · 计算机科学 2014-07-23 Sadegh Aliakbary , Jafar Habibi , Ali Movaghar

The focus of this work is on estimation of the in-degree distribution in directed networks from sampling network nodes or edges. A number of sampling schemes are considered, including random sampling with and without replacement, and…

统计方法学 · 统计学 2018-10-03 Nelson Antunes , Shankar Bhamidi , Tianjian Guo , Vladas Pipiras , Bang Wang

This paper considers the problem of estimating a power-law degree distribution of an undirected network using sampled data. Although power-law degree distributions are ubiquitous in nature, the widely used parametric methods for estimating…

社会与信息网络 · 计算机科学 2021-03-09 Buddhika Nettasinghe , Vikram Krishnamurthy

This paper introduces a new classification scheme - head/tail breaks - in order to find groupings or hierarchy for data with a heavy-tailed distribution. The heavy-tailed distributions are heavily right skewed, with a minority of large…

数据分析、统计与概率 · 物理学 2013-10-22 Bin Jiang

Network data sets are often constructed by some kind of thresholding procedure. The resulting networks frequently possess properties such as heavy-tailed degree distributions, clustering, large connected components and short average…

Real-world data are long-tailed, the lack of tail samples leads to a significant limitation in the generalization ability of the model. Although numerous approaches of class re-balancing perform well for moderate class imbalance problems,…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Yanbiao Ma , Licheng Jiao , Fang Liu , Shuyuan Yang , Xu Liu , Puhua Chen

Real-world visual data often exhibits a long-tailed distribution, where some ''head'' classes have a large number of samples, yet only a few samples are available for ''tail'' classes. Such imbalanced distribution causes a great challenge…

计算机视觉与模式识别 · 计算机科学 2020-03-11 Junjie Zhang , Lingqiao Liu , Peng Wang , Chunhua Shen

Link prediction, as a fundamental task for graph neural networks (GNNs), has boasted significant progress in varied domains. Its success is typically influenced by the expressive power of node representation, but recent developments reveal…

机器学习 · 计算机科学 2024-07-31 Yakun Wang , Daixin Wang , Hongrui Liu , Binbin Hu , Yingcui Yan , Qiyang Zhang , Zhiqiang Zhang

This paper considers learning deep features from long-tailed data. We observe that in the deep feature space, the head classes and the tail classes present different distribution patterns. The head classes have a relatively large spatial…

计算机视觉与模式识别 · 计算机科学 2020-04-14 Jialun Liu , Yifan Sun , Chuchu Han , Zhaopeng Dou , Wenhui Li

Deploying deep models in real-world scenarios entails a number of challenges, including computational efficiency and real-world (e.g., long-tailed) data distributions. We address the combined challenge of learning long-tailed distributions…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Jihun Kim , Dahyun Kim , Hyungrok Jung , Taeil Oh , Jonghyun Choi

Motivated by the empirical observation of power-law distributions in the credits (e.g., ``likes'') of viral posts in social media, we introduce a high-dimensional tail index regression model and propose methods for estimation and inference…

机器学习 · 统计学 2026-01-19 Yuya Sasaki , Jing Tao , Yulong Wang

Understanding the shape of a distribution of data is of interest to people in a great variety of fields, as it may affect the types of algorithms used for that data. We study one such problem in the framework of distribution property…

机器学习 · 计算机科学 2022-12-06 Maryam Aliakbarpour , Amartya Shankha Biswas , Kavya Ravichandran , Ronitt Rubinfeld
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