Emergent weight morphologies in deep neural networks

• URL: http://arxiv.org/abs/2501.05550v1
• Date: Thu, 09 Jan 2025 19:48:51 GMT
• Title: Emergent weight morphologies in deep neural networks
• Authors: Pascal de Jong, Felix Meigel, Steffen Rulands,
• Abstract summary: We show that training deep neural networks gives rise to emergent weight morphologies independent of the training data. Our work demonstrates emergence in the training of deep neural networks, which impacts the achievable performance of deep neural networks.
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• Abstract: Whether deep neural networks can exhibit emergent behaviour is not only relevant for understanding how deep learning works, it is also pivotal for estimating potential security risks of increasingly capable artificial intelligence systems. Here, we show that training deep neural networks gives rise to emergent weight morphologies independent of the training data. Specifically, in analogy to condensed matter physics, we derive a theory that predict that the homogeneous state of deep neural networks is unstable in a way that leads to the emergence of periodic channel structures. We verified these structures by performing numerical experiments on a variety of data sets. Our work demonstrates emergence in the training of deep neural networks, which impacts the achievable performance of deep neural networks.

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