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Strong Consistency of Spectral Clustering for Stochastic Block Models [PDF]
IEEE Transactions on Information Theory, 2017 In this paper we prove the strong consistency of several methods based on the spectral clustering techniques that are widely used to study the community detection problem in stochastic block models (SBMs).
Liangjun Su, Wuyi Wang, Yichong Zhang
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On Consistency of the Nearest Neighbor Estimator of the Density Function for m-AANA Samples
Mathematics, 2023 In this paper, by establishing a Bernstein inequality for m-asymptotically almost negatively associated random variables, some results on consistency for the nearest neighbor estimator of the density function are further established.
Xin Liu, Yi Wu, Wei Wang, Yong Zhu
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A Note on the Nonparametric Estimation of the Conditional Mode by Wavelet Methods
Stats, 2020 The purpose of this note is to introduce and investigate the nonparametric estimation of the conditional mode using wavelet methods. We propose a new linear wavelet estimator for this problem.
Salim Bouzebda, Christophe Chesneau
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A nonparametric test for comparing survival functions based on restricted distance correlation
Dependence Modeling, 2023 In this article, we propose an omnibus test for comparing two survival functions under non-proportional hazards. The test statistic is based on a product-limit estimate of the restricted distance correlation, which is closely related to the L2{L}_{2 ...
Zhang Qingyang
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Modern Stochastics: Theory and Applications, 2016 We consider a stochastic differential equation of the form \[ dX_{t}=\theta a(t,X_{t})\hspace{0.1667em}dt+\sigma _{1}(t,X_{t})\sigma _{2}(t,Y_{t})\hspace{0.1667em}dW_{t}\] with multiplicative stochastic volatility, where Y is some adapted stochastic ...
Meriem Bel Hadj Khlifa +3 more
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Research on Strong Cache Consistency Under Generic Cache Replacement Strategy [PDF]
Jisuanji gongcheng, 2022 Establishing an accurate cache analysis model helps to predict the cache behavior better, which is vital for network performance analysis and planning.However, existing analysis models for cache consistency studies are based on the Least Recently Used ...
YANG Tao, ZHENG Quan, XU Zhenghuan, SHI Qianbao, PENG Siwei
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Modern Stochastics: Theory and Applications, 2020 The paper deals with a stochastic heat equation driven by an additive fractional Brownian space-only noise. We prove that a solution to this equation is a stationary and ergodic Gaussian process. These results enable us to construct a strongly consistent
Diana Avetisian, Kostiantyn Ralchenko
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Adequacy analysis the model of strong replicas agreement in NoSQL databases [PDF]
Компьютерные исследования и моделирование, 2016 In this article the model of strong replicas agreement was analyzed. The process of preparing and conducting the nature experiment in the cloud in order to proof the model adequacy was described.
Evgeny Vasilievich Tsviashchenko
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Strong local consistency algorithms for table constraints [PDF]
Constraints, 2015 Table constraints are important in constraint programming as they are present in many real problems from areas such as configuration and databases. As a result, numerous specialized algorithms that achieve generalized arc consistency (GAC) on table constraints have been proposed.
Paparrizou, Anastasia, Stergiou, Kostas
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AIMS Mathematics, 2022 This paper is concerned with parameter estimation for partially observed stochastic differential equations driven by fractional Brownian motion. Firstly, the state estimation equation is given and the parameter estimator is derived.
Chao Wei
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