Title
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 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.
Year
DOI
Venue
2016
10.1109/TVCG.2015.2464797
Visualization and Computer Graphics, IEEE Transactions
Keywords
Field
DocType
Kernel Methods,Multidimensional Projection,Visualization
Kernel (linear algebra),Graph kernel,Computer vision,Pattern recognition,Radial basis function kernel,Computer science,Kernel embedding of distributions,Tree kernel,Polynomial kernel,Artificial intelligence,String kernel,Kernel method
Journal
Volume
Issue
ISSN
PP
99
1077-2626
Citations 
PageRank 
References 
3
0.36
23
Authors
4
Name
Order
Citations
PageRank
A. C. Barbosa1143.65
Fernando Vieira Paulovich2874.22
Afonso Paiva313516.76
Siome Goldenstein461847.43