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Visualizing and Interacting with Kernelized Data | IEEE Journals & Magazine | IEEE Xplore

Visualizing and Interacting with Kernelized Data


Abstract:

Kernel-based methods have experienced a substantial progress in the last years, tuning out an essential mechanism for data classification, clustering and pattern recognit...Show More

Abstract:

Kernel-based methods have experienced a substantial progress in the last years, tuning out an essential mechanism for data classification, clustering and pattern recognition. The effectiveness of kernel-based techniques, though, depends largely on the capability of the underlying kernel to properly embed data in the feature space associated to the kernel. However, visualizing how a kernel embeds the data in a feature space is not so straightforward, as the embedding map and the feature space are implicitly defined by the kernel. In this work, we present a novel technique to visualize the action of a kernel, that is, how the kernel embeds data into a high-dimensional feature space. The proposed methodology relies on a solid mathematical formulation to map kernelized data onto a visual space. Our approach is faster and more accurate than most existing methods while still allowing interactive manipulation of the projection layout, a game-changing trait that other kernel-based projection techniques do not have.
Published in: IEEE Transactions on Visualization and Computer Graphics ( Volume: 22, Issue: 3, 01 March 2016)
Page(s): 1314 - 1325
Date of Publication: 05 August 2015

ISSN Information:

PubMed ID: 26829242

Funding Agency:


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