By C.R. Rao
This publication makes a speciality of facing large-scale information, a box quite often known as information mining. The ebook is split into 3 sections. the 1st bargains with an advent to statistical facets of knowledge mining and laptop studying and contains functions to textual content research, laptop intrusion detection, and hiding of knowledge in electronic documents. the second one part specializes in various statistical methodologies that experience confirmed to be potent in info mining purposes. those contain clustering, type, multivariate density estimation, tree-based tools, development attractiveness, outlier detection, genetic algorithms, and dimensionality aid. The 3rd part specializes in facts visualization and covers problems with visualization of high-dimensional information, novel graphical concepts with a spotlight on human components, interactive pictures, and knowledge visualization utilizing digital fact. This ebook represents a radical pass component to across the world well known thinkers who're inventing tools for facing a brand new facts paradigm. Key beneficial properties: - wonderful participants who're foreign specialists in points of knowledge mining - comprises info mining methods to non-numerical information mining together with textual content info, web site visitors info, and geographic info - hugely topical discussions reflecting present considering on modern technical matters, e.g. streaming information - Discusses taxonomy of dataset sizes, computational complexity, and scalability frequently overlooked in so much discussions - Thorough dialogue of information visualization matters mixing statistical, human elements, and computational insights Â· extraordinary individuals who're foreign specialists in facets of information mining Â· comprises facts mining techniques to non-numerical info mining together with textual content information, net site visitors facts, and geographic info Â· hugely topical discussions reflecting present pondering on modern technical concerns, e.g. streaming facts Â· Discusses taxonomy of dataset sizes, computational complexity, and scalability often neglected in such a lot discussions Â· Thorough dialogue of information visualization matters mixing statistical, human components, and computational insights
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Additional info for Handbook of Statistics, Volume 24: Data Mining and Data Visualization
Data compression by geometric quantization. N. ), Recent Advances and Trends in Nonparametric Statistics. Elsevier (North-Holland), pp. 35–48. Maar, D. (1982). Vision. Freeman, New York. L. (2003). Using data images for outlier detection. Comput. Statist. Data Anal. 43 (4), 541–552. J. (2004). Statistical analysis of network data for cybersecurity. Chance 17 (1), 8–18. E. (2005). Fast algorithms for classification using class cover catch digraphs. L. ), Data Mining and Data Visualization, Handbook of Statistics, vol.
The parameters are re-estimated using the EM algorithm. Specifically, we have: τij = µi = πi φ(x; x j , θ i ) N i=1 πi φ(x; x j , θ i ) 1 nπi , n τij x j , j =1 Σi = πi = 1 nπi 1 n n τij , j =1 n τij (x j − µi )(x j − µi )† , j =1 where τij is the estimated posterior probability that x j belongs to component i, πi is the estimated mixing coefficient, µi and Σ i are the estimated mean vector and covariance matrix, respectively. The EM is applied until convergence is obtained. A visualization of this is given in Figure 7.
Graphics Press, Cheshire, CT. Tufte, E. (1997). Visual Explanations: Images and Quantities, Evidence and Narrative. Graphics Press, Cheshire, CT. W. (1962). The future of data analysis. Ann. Math. Statist. 33, 1–67. W. (1977). Exploratory Data Analysis. Addison–Wesley, Reading, MA. A. (1962). Stereoscopy. Focal Press, New York. J. (1990). Hyperdimensional data analysis using parallel coordinates. J. Amer. Statist. Assoc. 85, 664–675. J. (1995). Huge data sets and the frontiers of computational feasibility.