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Summary of Forml: a Riemannian Hessian-free Method For Meta-learning on Stiefel Manifolds, by Hadi Tabealhojeh et al.


FORML: A Riemannian Hessian-free Method for Meta-learning on Stiefel Manifolds

by Hadi Tabealhojeh, Soumava Kumar Roy, Peyman Adibi, Hossein Karshenas

First submitted to arxiv on: 28 Feb 2024

Categories

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

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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
The paper proposes a Hessian-free approach for meta-learning in Riemannian space, which significantly reduces computational load and memory footprint. The authors introduce a Stiefel fully-connected layer that enforces orthogonality constraint on the parameters of the last classification layer, strengthening representation reuse in gradient-based meta-learning methods. Experimental results across various few-shot learning datasets demonstrate the superiority of the proposed method compared to state-of-the-art methods, including MAML and its Euclidean counterpart.
Low GrooveSquid.com (original content) Low Difficulty Summary
Meta-learning is a way for AI models to learn from other AI models. This paper makes it faster and more efficient by using a new approach that doesn’t need to compute complicated second-order derivatives. The authors also introduce a special type of neural network layer that helps the model learn better representations. They tested their method on several datasets and found it outperformed other state-of-the-art methods.

Keywords

* Artificial intelligence  * Classification  * Few shot  * Meta learning  * Neural network