Title
Learning with Algebraic Invariances, and the Invariant Kernel Trick.
Abstract
When solving data analysis problems it is important to integrate prior knowledge and/or structural invariances. This paper contributes by a novel framework for incorporating algebraic invariance structure into kernels. In particular, we show that algebraic properties such as sign symmetries in data, phase independence, scaling etc. can be included easily by essentially performing the kernel trick twice. We demonstrate the usefulness of our theory in simulations on selected applications such as sign-invariant spectral clustering and underdetermined ICA.
Year
Venue
Field
2014
CoRR
Spectral clustering,Algebraic number,Invariant (physics),Underdetermined system,Artificial intelligence,Invariant (mathematics),Kernel method,Scaling,Mathematics,Machine learning,Homogeneous space
DocType
Volume
Citations 
Journal
abs/1411.7817
0
PageRank 
References 
Authors
0.34
14
3
Name
Order
Citations
PageRank
Franz J. Király15014.98
Ziehe, Andreas261772.50
Klaus-Robert Müller3127561615.17