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Breakdown Point of Robust Support Vector Machines [PDF]
Entropy, 2017 Support vector machine (SVM) is one of the most successful learning methods for solving classification problems. Despite its popularity, SVM has the serious drawback that it is sensitive to outliers in training samples.
Takafumi Kanamori +2 more
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The Breakdown Point — Examples and Counterexamples
Revstat Statistical Journal, 2007 The breakdown point plays an important though at times controversial role in statistics. In situations in which it has proved most successful there is a group of transformations which act on the sample space and which give rise to an equivariance ...
P.L. Davies , U. Gather
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ASSESSING ROBUSTNESS OF CLASSIFICATION USING ANGULAR BREAKDOWN POINT. [PDF]
Ann Stat, 2018 Robustness is a desirable property for many statistical techniques. As an important measure of robustness, breakdown point has been widely used for regression problems and many other settings. Despite the existing development, we observe that the standard breakdown point criterion is not directly applicable for many classification problems.
Zhao J, Yu G, Liu Y.
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The finite sample breakdown point of PCS [PDF]
Statistics and Probability Letters, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eric Schmitt
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The Masking Breakdown Point of Multivariate Outlier Identification Rules [PDF]
Journal of the American Statistical Association, 1999 In this paper, we consider one-step outlier identifiation rules for multivariate data, generalizing the concept of so-called alpha outlier identifiers, as presented in Davies and Gather (1993) for the case of univariate samples. We investigate, how the finite-sample breakdown points of estimators used in these identification rules influence the masking
Ursula Gather, Claudia Becker
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Some Results on the Spatial Breakdown Point of Robust Point Estimates of the Variogram
Mathematical Geosciences, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Murray Lark, Lark R M
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Finite sample breakdown point of Tukey’s halfspace median [PDF]
Science China Mathematics, 2017 Tukey's halfspace median ($\HM$), servicing as the {multivariate} counterpart of the univariate median, has been introduced and extensively studied in the literature. It is supposed and expected to preserve robustness property (the most outstanding property) of the univariate median.
Yijun Zuo, , Zuo Yijun
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Frontiers in Earth Science, 2022 Global navigation satellite system technology has been widely used for high-precision, real-time monitoring of landslides. To improve forecasts and early warnings, the true deformation features must be extracted from the global navigation satellite ...
Guanwen Huang +5 more
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On the Subrange and Its Application to the R-Chart
Applied Sciences, 2021 The conventional sample range is widely used for the construction of an R-chart. In an R-chart, the sample range estimates the standard deviation, especially in the case of a small sample size.
En Xie +3 more
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Generalized Species Richness Indices for Diversity
Entropy, 2022 A generalized notion of species richness is introduced. The generalization embeds the popular index of species richness on the boundary of a family of diversity indices each of which is the number of species in the community after a small proportion of ...
Zhiyi Zhang
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