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Kernel density estimation is a popular method for estimating unseen probability distributions. However, the convergence of these classical estimators to the true density slows down in high dimensions. Moreover, they do not define meaningful…

统计理论 · 数学 2025-05-30 Jack Kendrick

Estimating the uncertainty in deep neural network predictions is crucial for many real-world applications. A common approach to model uncertainty is to choose a parametric distribution and fit the data to it using maximum likelihood…

机器学习 · 计算机科学 2022-11-28 Ali Harakeh , Jordan Hu , Naiqing Guan , Steven L. Waslander , Liam Paull

This Letter introduces a generalization of known duplication-divergence models for growing random graphs. This general duplication-divergence model includes a new coupled divergence asymmetry rate, which allows to obtain the structure of…

统计力学 · 物理学 2024-12-04 Dario Borrelli

Explicit characterization of the capacity region of communication networks is a long standing problem. While it is known that network coding can outperform routing and replication, the set of feasible rates is not known in general.…

信息论 · 计算机科学 2016-04-13 Satyajit Thakor , Alex Grant , Terence Chan

Random network models, constrained to reproduce specific statistical features, are often used to represent and analyze network data and their mathematical descriptions. Chief among them, the configuration model constrains random networks by…

社会与信息网络 · 计算机科学 2025-01-28 Laurent Hébert-Dufresne , Jean-Gabriel Young , Alexander Daniels , Alec Kirkley , Antoine Allard

Performance of standard processes over large distributed networks typically scales with the size of the network. For example, in planar topologies where nodes communicate with their natural neighbors, the scaling factor is $O(n)$, where $n$…

分布式、并行与集群计算 · 计算机科学 2019-02-18 Abhinav Mishra

Several tasks in information retrieval (IR) rely on assumptions regarding the distribution of some property (such as term frequency) in the data being processed. This thesis argues that such distributional assumptions can lead to incorrect…

信息检索 · 计算机科学 2019-04-02 Casper Petersen

All networks can be analyzed at multiple scales. A higher scale of a network is made up of macro-nodes: subgraphs that have been grouped into individual nodes. Recasting a network at higher scales can have useful effects, such as decreasing…

社会与信息网络 · 计算机科学 2022-02-18 Ross Griebenow , Brennan Klein , Erik Hoel

There has been a considerable amount of interest in recent years on the robustness of networks to failures. Many previous studies have concentrated on the effects of node and edge removals on the connectivity structure of a static network;…

统计力学 · 物理学 2013-10-24 Brian Karrer , Gourab Ghoshal

We consider the observability model in networks with arbitrary topologies. We introduce a system of coupled nonlinear equations, valid under the locally tree-like ansatz, to describe the size of the largest observable cluster as a function…

物理与社会 · 物理学 2016-09-28 Yang Yang , Filippo Radicchi

A new approach to estimate population size based on a stratified link-tracing sampling design is presented. The method extends on the Frank and Snijders (1994) approach by allowing for heterogeneity in the initial sample selection…

统计方法学 · 统计学 2017-09-25 Kyle Vincent

The problem of hierarchical clustering items from pairwise similarities is found across various scientific disciplines, from biology to networking. Often, applications of clustering techniques are limited by the cost of obtaining…

机器学习 · 统计学 2012-07-20 Brian Eriksson

Dealing with visualizations containing large data set is a challenging issue and, in the field of Information Visualization, almost every visual technique reveals its drawback when visualizing large number of items. To deal with this…

图形学 · 计算机科学 2017-01-26 Enrico Bertini , Giuseppe Santucci

The independent set problem is NP-hard and particularly difficult to solve in large sparse graphs. In this work, we develop an advanced evolutionary algorithm, which incorporates kernelization techniques to compute large independent sets in…

数据结构与算法 · 计算机科学 2015-09-03 Sebastian Lamm , Peter Sanders , Christian Schulz , Darren Strash , Renato F. Werneck

A graph homomorphism is a map between two graphs that preserves adjacency relations. We consider the problem of sampling a random graph homomorphism from a graph into a large network. We propose two complementary MCMC algorithms for…

概率论 · 数学 2023-01-11 Hanbaek Lyu , Facundo Memoli , David Sivakoff

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

Temporal networks representing a stream of timestamped edges are seemingly ubiquitous in the real-world. However, the massive size and continuous nature of these networks make them fundamentally challenging to analyze and leverage for…

数据结构与算法 · 计算机科学 2021-01-08 Nesreen K. Ahmed , Nick Duffield , Ryan A. Rossi

Starting with a set of weighted items, we want to create a generic sample of a certain size that we can later use to estimate the total weight of arbitrary subsets. For this purpose, we propose priority sampling which tested on Internet…

数据结构与算法 · 计算机科学 2007-05-23 Nick Duffield , Carsten Lund , Mikkel Thorup

We study percolation on networks, which is used as a model of the resilience of networked systems such as the Internet to attack or failure and as a simple model of the spread of disease over human contact networks. We reformulate…

统计力学 · 物理学 2014-11-20 Brian Karrer , M. E. J. Newman , Lenka Zdeborová

In this paper, we propose a new graph sampling method for online social networks that achieves the following. First, a sample graph should reflect the ratio between the number of nodes and the number of edges of the original graph. Second,…

社会与信息网络 · 计算机科学 2011-09-07 Seok-Ho Yoon , Ki-Nam Kim , Sang-Wook Kim , Sunju Park