The Preimage of Rectifier Network ActivitiesShow others and affiliations
2017 (English)In: International Conference on Learning Representations (ICLR), International Conference on Learning Representations, ICLR , 2017Conference paper, Published paper (Refereed)
Abstract [en]
The preimage of the activity at a certain level of a deep network is the set of inputs that result in the same node activity. For fully connected multi layer rectifier networks we demonstrate how to compute the preimages of activities at arbitrary levels from knowledge of the parameters in a deep rectifying network. If the preimage set of a certain activity in the network contains elements from more than one class it means that these classes are irreversibly mixed. This implies that preimage sets which are piecewise linear manifolds are building blocks for describing the input manifolds specific classes, ie all preimages should ideally be from the same class. We believe that the knowledge of how to compute preimages will be valuable in understanding the efficiency displayed by deep learning networks and could potentially be used in designing more efficient training algorithms.
Place, publisher, year, edition, pages
International Conference on Learning Representations, ICLR , 2017.
Keywords [en]
Heuristic algorithms, Piecewise linear techniques, General structures, Input space, Network activities, Optimisations, Piecewise linear, Preimages, Regularization algorithms, Rectifying circuits
National Category
Computer graphics and computer vision Computer graphics and computer vision
Identifiers
URN: urn:nbn:se:kth:diva-259164Scopus ID: 2-s2.0-85093029593OAI: oai:DiVA.org:kth-259164DiVA, id: diva2:1350663
Conference
5th International Conference on Learning Representations, ICLR 2017, 24-26 April 2017, Toulon, France
Note
QC 20230609
2019-09-112019-09-112025-02-07Bibliographically approved