Formal Conceptual Views in Neural Networks

Johannes Hirth, Tom Hanika

Keywords: Conceptual Scaling, Explainable AI, Global Explanation, Formal Concept Analysis, Lattices

TL;DR: Conceptual structures allow for global insights into neural network models resulting in novel approaches for explainable AI.

Abstract: Explaining neural network models is a challenging task that remains unsolved in its entirety to this day. This is especially true for high dimensional and complex data. With the present work, we introduce two notions for conceptual views of a neural network, specifically a many-valued and a symbolic view. Both provide novel analysis methods to enable a human AI analyst to grasp deeper insights into the knowledge that is captured by the neurons of a network. We test the conceptual expressivity of our novel views through different experiments on the ImageNet and Fruit-360 data sets. Furthermore, we show to which extent the views allow to quantify the conceptual similarity of different learning architectures. Finally, we demonstrate how conceptual views can be applied for abductive learning of human comprehensible rules from neurons. In summary, with our work, we contribute to the most relevant task of globally explaining neural networks models.

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