Title
Topological Features In Locally Connected Rbms
Abstract
Unsupervised learning algorithms find ways to model latent structure present in the data. These latent structures can then serve as a basis for supervised classification methods. A common choice for unsupervised feature discovery is the Restricted Boltzmann Machine (RBM). Since the RBM is a general purpose learning machine, it is not particularly tailored for image data. Representations found by RBMs are consequently not image-like. Since it is essential to exploit the known topological structure for image analysis, it is desirable not to discard the topology property when learning new representations. Then, the same learning methods can be applied to the latent representation in a hierarchical manner.In this work, we propose a modification to the learning rule of locally connected RBMs, which ensures that topological image structure is preserved in the latent representation. To this end, we use a Gaussian kernel to transfer topological properties of the image space to the feature space. The learned model is then used as an initialization for a neural network trained to classify the images. We evaluate our approach on the MNIST and Caltech 101 datasets and demonstrate that we are able to learn topological feature maps.
Year
DOI
Venue
2010
10.1109/IJCNN.2010.5596767
2010 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS IJCNN 2010
Keywords
Field
DocType
data models,neural network,restricted boltzmann machine,gaussian processes,artificial neural networks,image classification,data representation,image analysis,unsupervised learning,markov processes,boltzmann machine,feature space,topology,gaussian kernel,kernel,feature extraction
MNIST database,Computer science,Unsupervised learning,Artificial intelligence,Artificial neural network,Topology,Restricted Boltzmann machine,Feature vector,Pattern recognition,Feature extraction,Learning rule,Machine learning,Topological property
Conference
ISSN
Citations 
PageRank 
2161-4393
2
1.36
References 
Authors
13
3
Name
Order
Citations
PageRank
Andreas Müller121.36
Hannes Schulz25510.82
Sven Behnke31672181.84