Semiotic Aggregation in Deep Learning
Bogdan Musat, Razvan Andonie

TL;DR
This paper introduces a novel semiotic approach to analyze convolutional neural networks by examining saliency maps through the lens of signs and supersigns, revealing how information aggregates across layers.
Contribution
It pioneers the application of computational semiotics to deep learning, analyzing superization processes and proposing a semiotic greedy optimization technique for neural architectures.
Findings
Visualization of superization process in neural layers
Explanation of neural decision models using semiotic analysis
Optimization of neural network architecture via semiotic methods
Abstract
Convolutional neural networks utilize a hierarchy of neural network layers. The statistical aspects of information concentration in successive layers can bring an insight into the feature abstraction process. We analyze the saliency maps of these layers from the perspective of semiotics, also known as the study of signs and sign-using behavior. In computational semiotics, this aggregation operation (known as superization) is accompanied by a decrease of spatial entropy: signs are aggregated into supersign. Using spatial entropy, we compute the information content of the saliency maps and study the superization processes which take place between successive layers of the network. In our experiments, we visualize the superization process and show how the obtained knowledge can be used to explain the neural decision model. In addition, we attempt to optimize the architecture of the neural…
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