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Algorithms in Chameleon Statistics

Seventh Sense Software actively takes part in multivariate statistical research. The company has developed several state-of-the-art statistical algorithms and has made a number of important mathematical discoveries in pure statistics. Amongst them are the following:

Development of the world's fastest single-link clustering algorithm for Euclidean data sets. The algorithm is both storage efficient, coping easily with enormous data sets, and parallelizable for time-critical applications.

Development of advanced multi-resolution edge detection techniques for removal of mixed pixels from multi-spectral imagery to enhance results from density-based hierarchical clustering techniques such as the single-link method.

Discovery of an important one-to-one relationship between the minimal spanning tree resulting from single-link clustering of a data set and its sample density distribution, leading to the development of the so-called "bubble model" density estimator.

Development of novel techniques in sampling theory leading to the development of improved parameter estimators and hypothesis testing methods for stochastic (e.g. Poisson) processes.

Development of an exact k-nearest neighbors density estimator based upon the above which improves upon the standard estimators.

Development of analytically rigorous boosting-analogues for density-based classifiers such as k-nearest-neighbors and kernel-based techniques.

 

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