A Fast Incremental Gaussian Mixture Model
Rafael Coimbra Pinto and
Paulo Martins Engel
PLOS ONE, 2015, vol. 10, issue 10, 1-12
Abstract:
This work builds upon previous efforts in online incremental learning, namely the Incremental Gaussian Mixture Network (IGMN). The IGMN is capable of learning from data streams in a single-pass by improving its model after analyzing each data point and discarding it thereafter. Nevertheless, it suffers from the scalability point-of-view, due to its asymptotic time complexity of O(NKD3) for N data points, K Gaussian components and D dimensions, rendering it inadequate for high-dimensional data. In this work, we manage to reduce this complexity to O(NKD2) by deriving formulas for working directly with precision matrices instead of covariance matrices. The final result is a much faster and scalable algorithm which can be applied to high dimensional tasks. This is confirmed by applying the modified algorithm to high-dimensional classification datasets.
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0139931
DOI: 10.1371/journal.pone.0139931
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