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Time Series Data Anomaly Detection Based on Total Variation Ratio Separation Distance [PDF]
Jisuanji kexue, 2022 Anomaly detection for time series data is one of the important research problems in data analysis.Its main challenge is to detect if there are any anomalies and locate anomalies with low delay according to context.Most of existing anomaly detection ...
XU Tian-hui, GUO Qiang, ZHANG Cai-ming
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A simple polynomial-time approximation algorithm for the total variation distance between two product distributions [PDF]
TheoretiCS, 2023 We give a simple polynomial-time approximation algorithm for the total variation distance between two product distributions.
Weiming Feng +3 more
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Mixing times for two classes of stochastically modeled reaction networks
Mathematical Biosciences and Engineering, 2023 The past few decades have seen robust research on questions regarding the existence, form, and properties of stationary distributions of stochastically modeled reaction networks.
David F. Anderson, Jinsu Kim
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Survey of Distances between the Most Popular Distributions
Analytics, 2023 We present a number of upper and lower bounds for the total variation distances between the most popular probability distributions. In particular, some estimates of the total variation distances in the cases of multivariate Gaussian distributions ...
Mark Kelbert
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Entropy, 2023 Using majorization theory via “Robin Hood” elementary operations, optimal lower and upper bounds are derived on Rényi and guessing entropies with respect to either error probability (yielding reverse-Fano and Fano inequalities) or total variation ...
Olivier Rioul
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IEEE Access, 2022 We provide optimal lower and upper bounds for the augmented Kullback-Leibler divergence in terms of the augmented total variation distance between two probability measures defined on two Euclidean spaces having different dimensions.
Michele Caprio
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What scientific folklore knows about the distances between the most popular distributions [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 We present a number of upper and low bounds for the total variation distances between the most popular probability distributions. In particular, some estimates of the total variation distances between one-dimensional Gaussian distributions, between two ...
Kelbert, Mark Yakovlevich +1 more
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Convergence in Total Variation of Random Sums
Mathematics, 2021 Let (Xn) be a sequence of real random variables, (Tn) a sequence of random indices, and (τn) a sequence of constants such that τn→∞. The asymptotic behavior of Ln=(1/τn)∑i=1TnXi, as n→∞, is investigated when (Xn) is exchangeable and independent of (Tn ...
Luca Pratelli, Pietro Rigo
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Effect of distance between the hulls variation on the total resistance of a catamaran
Annals of "Dunărea de Jos" University of Galaţi: Fascicle XI Shipbuilding, 2023 The purpose of this study case is to assess the total resistance and investigate the fluid flow around a scale model catamaran varying distance between the diametral planes of the two hulls.
Constantin Petre Dițu +2 more
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Mathematics, 2023 The Kolmogorov and total variation distance between the laws of random variables have upper bounds represented by the L1-norm of densities when random variables have densities.
Yoon-Tae Kim, Hyun-Suk Park
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