Title
Probabilistic classifiers with low rank indefinite kernels.
Abstract
Indefinite similarity measures can be frequently found in bio-informatics by means of alignment scores, but are also common in other fields like shape measures in image retrieval. Lacking an underlying vector space, the data are given as pairwise similarities only. The few algorithms available for such data do not scale to larger datasets. Focusing on probabilistic batch classifiers, the Indefinite Kernel Fisher Discriminant (iKFD) and the Probabilistic Classification Vector Machine (PCVM) are both effective algorithms for this type of data but, with cubic complexity. Here we propose an extension of iKFD and PCVM such that linear runtime and memory complexity is achieved for low rank indefinite kernels. Employing the Nystr\"om approximation for indefinite kernels, we also propose a new almost parameter free approach to identify the landmarks, restricted to a supervised learning problem. Evaluations at several larger similarity data from various domains show that the proposed methods provides similar generalization capabilities while being easier to parametrize and substantially faster for large scale data.
Year
Venue
Field
2016
arXiv: Learning
Kernel (linear algebra),Pairwise comparison,Pattern recognition,Support vector machine,Image retrieval,Supervised learning,Artificial intelligence,Probabilistic logic,Linear discriminant analysis,Probabilistic classification,Machine learning,Mathematics
DocType
Volume
Citations 
Journal
abs/1604.02264
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Frank-Michael Schleif142746.59
Andrej Gisbrecht219515.60
Tino P.31606155.22