SELF-NORMALIZATION

作品数:6被引量:8H指数:2
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相关领域:理学更多>>
相关期刊:《Probability, Uncertainty and Quantitative Risk》《Science China Mathematics》《Communications in Mathematics and Statistics》《Computer Systems Science & Engineering》更多>>
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Ext-ICAS:A Novel Self-Normalized Extractive Intra Cosine Attention Similarity Summarization
《Computer Systems Science & Engineering》2023年第4期377-393,共17页P.Sharmila C.Deisy S.Parthasarathy 
With the continuous growth of online news articles,there arises the necessity for an efficient abstractive summarization technique for the problem of information overloading.Abstractive summarization is highly complex...
关键词:Abstractive summarization natural language processing sequence-tosequence learning(seq2seq) SELF-NORMALIZATION intra(self)attention 
Self-normalization:Taming a wild population in a heavy-tailed world被引量:2
《Applied Mathematics(A Journal of Chinese Universities)》2017年第3期253-269,共17页SHAO Qi-man ZHOU Wen-xin 
Supported by Hong Kong RGC GRF 14302515
The past two decades have witnessed the active development of a rich probability theory of Studentized statistics or self-normalized processes, typified by Student’s t-statistic as introduced by W. S. Gosset more tha...
关键词:Berry-Esseen inequality Hotelling’s T 2-statistic large deviation moderate deviation SELF-NORMALIZATION Student’s t-statistic U-STATISTIC 
Convergence to a self-normalized G-Brownian motion被引量:1
《Probability, Uncertainty and Quantitative Risk》2017年第1期87-111,共25页Zhengyan Lin Li-Xin Zhang 
Research supported by Grants from the National Natural Science Foundation of China(No.11225104);the 973 Program(No.2015CB352302)and the Fundamental Research Funds for the Central Universities.
G-Brownian motion has a very rich and interesting new structure that nontrivially generalizes the classical Brownian motion.Its quadratic variation process is also a continuous process with independent and stationary ...
关键词:Sub-linear expectation G-Brownian motion Central limit theorem Invariance principle SELF-NORMALIZATION 
Self-Normalized Moderate Deviation and Laws of the Iterated Logarithm Under G-Expectation被引量:3
《Communications in Mathematics and Statistics》2016年第2期229-263,共35页Li-Xin Zhang 
Grants from the National Natural Science Foundation of China(No.11225104);973 Program(No.2015CB352302);the Fundamental Research Funds for the CentralUniversities.
The sub-linear expectation or called G-expectation is a non-linear expectation having advantage of modeling non-additive probability problems and the volatilityuncertainty in finance.Let{Xn;n≥1}be a sequence of indep...
关键词:Non-linear expectation Capacity SELF-NORMALIZATION Law of theiterated logarithm Moderate deviation 
A Self-normalized Law of the Iterated Logarithm for the Geometrically Weighted Random Series
《Acta Mathematica Sinica,English Series》2016年第3期384-392,共9页Ke Ang FU Wei HUANG 
Supported by National Natural Science Foundation of China(Grant Nos.11301481,11371321 and 10901138);National Statistical Science Research Project of China(Grant No.2012LY174);Zhejiang Provincial Natural Science Foundation of China(Grant No.LQ12A01018);the Fundamental Research Funds for the Central Universities and Zhejiang Provincial Key Research Base for Humanities and Social Science Research(Statistics)
Let {X, Xn; n ≥ 0} be a sequence of independent and identically distributed random variables with EX=0, and assume that EX^2I(|X| ≤ x) is slowly varying as x →∞, i.e., X is in the domain of attraction of the n...
关键词:Domain of attraction of the normal law geometrically weighted series law of the iteratedlogarithm SELF-NORMALIZATION slowly varying 
Studentized Increments of Partial Sums被引量:2
《Science China Mathematics》1994年第3期265-276,共12页CsorgoMiklos 林正炎 邵启满 
Project supported by the National Natural Science Foundation of China;an NSERC Canada grant of M.Csorgo at Carletoa University of Canada;the Fok Yingtung Education Foundation;an NSERC Canada Scientific Exchange Award at Carleton University
Using suitable self-normalization for partial sums of i.i.d.random variables,Griffin and Kuelbs established the law of the iterated logarithm for all distributions in the domain of attraction of a normal law.We obtain...
关键词:increments of partial sums SELF-NORMALIZATION domain of attraction of a normal law 
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