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Summary of Fractional Order Distributed Optimization, by Andrei Lixandru et al.


Fractional Order Distributed Optimization

by Andrei Lixandru, Marcel van Gerven, Sergio Pequito

First submitted to arxiv on: 3 Dec 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
A novel distributed optimization framework, fractional order distributed optimization (FrODO), is proposed for modern machine learning applications like federated learning. FrODO incorporates fractional-order memory terms to improve convergence properties in challenging optimization landscapes, achieving provable linear convergence for any strongly connected network. Empirical results show that FrODO outperforms baselines by up to 4 times on ill-conditioned problems and 2-3 times in federated neural network training, while maintaining stability and theoretical guarantees.
Low GrooveSquid.com (original content) Low Difficulty Summary
FrODO is a new way to optimize machine learning models when data is spread across different devices or networks. It helps make sure the optimization process works well even when the problem is tricky. FrODO was tested on some examples and showed it can be up to 4 times faster than other methods on hard problems, and 2-3 times faster on training neural networks in a distributed way.

Keywords

» Artificial intelligence  » Federated learning  » Machine learning  » Neural network  » Optimization