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Summary of Generalization Bounds For Dependent Data Using Online-to-batch Conversion, by Sagnik Chatterjee et al.


Generalization Bounds for Dependent Data using Online-to-Batch Conversion

by Sagnik Chatterjee, Manuj Mukherjee, Alhad Sethi

First submitted to arxiv on: 22 May 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 presents a new approach to bounding the generalization error of batch learning algorithms trained on dependent data. Unlike previous works, it does not require any stability assumptions and can be applied to any batch learning algorithm. The authors use the Online-to-Batch (OTB) conversion framework to shift the burden of stability from the batch learner to an artificially constructed online learner. They introduce a new notion of algorithmic stability based on Wasserstein distances and show that the EWA algorithm satisfies this stability condition. The authors then instantiate their bounds using the EWA algorithm.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper looks at how well machine learning models work when trained on data that is connected in some way, like a sequence or a graph. They want to know how well these models generalize to new, unseen data. To do this, they use a framework called Online-to-Batch (OTB) that lets them turn an online learning algorithm into a batch one. This helps them get around the need for special assumptions about the stability of the model. The authors also come up with a new way to measure how stable an online learning algorithm is and show that a popular algorithm called EWA meets this standard.

Keywords

» Artificial intelligence  » Generalization  » Machine learning  » Online learning