18,526 research outputs found
Contrastive Learning for Lifted Networks
In this work we address supervised learning of neural networks via lifted
network formulations. Lifted networks are interesting because they allow
training on massively parallel hardware and assign energy models to
discriminatively trained neural networks. We demonstrate that the training
methods for lifted networks proposed in the literature have significant
limitations and show how to use a contrastive loss to address those
limitations. We demonstrate that this contrastive training approximates
back-propagation in theory and in practice and that it is superior to the
training objective regularly used for lifted networks.Comment: 9 pages, BMVC 201
Lifted Regression/Reconstruction Networks
In this work we propose lifted regression/reconstruction networks(LRRNs), which combine lifted neural networks with a guaranteed Lipschitz continuity property for the output layer. Lifted neural networks explicitly optimize an energy model to infer the unit activations and therefore—in contrast to standard feed-forward neural networks—allow bidirectional feedback between layers. So far lifted neural networks have been modelled around standard feed-forward architectures. We propose to take further advantage of the feedback property by letting the layers simultaneously perform regression and reconstruction. The resulting lifted network architecture allows to control the desired amount of Lipschitz continuity, which is an important feature to obtain adversarially robust regression and classification methods. We analyse and numerically demonstrate applications for unsupervised and supervised learnin
Lifted Regression/Reconstruction Networks
In this work we propose lifted regression/reconstruction networks (LRRNs),
which combine lifted neural networks with a guaranteed Lipschitz continuity
property for the output layer. Lifted neural networks explicitly optimize an
energy model to infer the unit activations and therefore---in contrast to
standard feed-forward neural networks---allow bidirectional feedback between
layers. So far lifted neural networks have been modelled around standard
feed-forward architectures. We propose to take further advantage of the
feedback property by letting the layers simultaneously perform regression and
reconstruction. The resulting lifted network architecture allows to control the
desired amount of Lipschitz continuity, which is an important feature to obtain
adversarially robust regression and classification methods. We analyse and
numerically demonstrate applications for unsupervised and supervised learning.Comment: 12 pages, 8 figure
Learning predictive categories using lifted relational neural networks
Lifted relational neural networks (LRNNs) are a flexible neural-symbolic framework based on the idea of lifted modelling. In this paper we show how LRNNs can be easily used to specify declaratively and solve learning problems in which latent categories of entities, properties and relations need to be jointly induced
Stacked structure learning for lifted relational neural networks
Lifted Relational Neural Networks (LRNNs) describe relational domains using weighted first-order rules which act as templates for constructing feed-forward neural networks. While previous work has shown that using LRNNs can lead to state-of-the-art results in various ILP tasks, these results depended on hand-crafted rules. In this paper, we extend the framework of LRNNs with structure learning, thus enabling a fully automated learning process. Similarly to many ILP methods, our structure learning algorithm proceeds in an iterative fashion by top-down searching through the hypothesis space of all possible Horn clauses, considering the predicates that occur in the training examples as well as invented soft concepts entailed by the best weighted rules found so far. In the experiments, we demonstrate the ability to automatically induce useful hierarchical soft concepts leading to deep LRNNs with a competitive predictive power
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