Title
Part-based approximations for morphological operators using asymmetric auto-encoders.
Abstract
This paper addresses the issue of building a part-based representation of a dataset of images. More precisely, we look for a non-negative, sparse decomposition of the images on a reduced set of atoms, in order to unveil a morphological and interpretable structure of the data. Additionally, we want this decomposition to be computed online for any new sample that is not part of the initial dataset. Therefore, our solution relies on a sparse, non-negative auto-encoder where the encoder is deep (for accuracy) and the decoder shallow (for interpretability). This method compares favorably to the state-of-the-art online methods on two datasets (MNIST and Fashion MNIST), according to classical metrics and to a new one we introduce, based on the invariance of the representation to morphological dilation.
Year
DOI
Venue
2019
10.1007/978-3-030-20867-7_25
Lecture Notes in Computer Science
Keywords
Field
DocType
Non-negative sparse coding,Auto-encoders,Mathematical morphology,Morphological invariance,Representation learning
Interpretability,MNIST database,Pattern recognition,Invariant (physics),Mathematical morphology,Computer science,Parallel computing,Sparse approximation,Operator (computer programming),Artificial intelligence,Encoder,Feature learning
Journal
Volume
ISSN
Citations 
11564
0302-9743
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Bastien Ponchon100.34
Santiago Velasco-Forero217824.20
Samy Blusseau312.06
Jesús Angulo4192.26
Isabelle Bloch52123170.75