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Summary of Emergent Equivariance in Deep Ensembles, by Jan E. Gerken and Pan Kessel


Emergent Equivariance in Deep Ensembles

by Jan E. Gerken, Pan Kessel

First submitted to arxiv on: 5 Mar 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: None

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
This research paper presents a groundbreaking discovery in deep learning, showing that deep ensembles become equivariant for all inputs and training times by incorporating data augmentation. This breakthrough holds true even when considering off-manifold predictions and is applicable to any architecture in the infinite width limit. The study’s findings are attributed to the emergent property of collective prediction from individual ensemble members, which itself is not equivariant. To derive this result, the researchers leveraged neural tangent kernel theory, subsequently verifying their insights through comprehensive numerical experiments.
Low GrooveSquid.com (original content) Low Difficulty Summary
In simple terms, this paper reveals that a special type of machine learning model called deep ensembles becomes better at understanding and representing patterns in data when it’s given extra practice with fake versions of that data. This improvement happens even when the model is making predictions about things that aren’t actually in the training data. The research team used mathematical theories to understand why this works, and then tested their ideas using lots of computer simulations.

Keywords

* Artificial intelligence  * Data augmentation  * Deep learning  * Machine learning