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Summary of Learn: An Invex Loss For Outlier Oblivious Robust Online Optimization, by Adarsh Barik et al.


LEARN: An Invex Loss for Outlier Oblivious Robust Online Optimization

by Adarsh Barik, Anand Krishna, Vincent Y. F. Tan

First submitted to arxiv on: 12 Aug 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Optimization and Control (math.OC)

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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 online convex optimization framework is proposed that can withstand malicious outliers introduced by an adversary in unknown rounds. The Log Exponential Adjusted Robust and iNvex (LEARN) loss function is designed to mitigate the impact of these outliers, and a robust variant of online gradient descent is developed using this loss. Tight regret guarantees are established for the dynamic setting, with respect to uncorrupted rounds. Experimental validation supports the theoretical results. Additionally, a unified analysis framework is presented for developing online optimization algorithms for non-convex (invex) losses, providing regret bounds for the LEARN loss.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper introduces a new way for computers to learn and make decisions even when some of the information they’re given is wrong or misleading. It’s called the “Log Exponential Adjusted Robust and iNvex” (LEARN) method. This method helps machines ignore bad data and focus on what’s really important. The researchers show that their method works well in practice, and they also give a general framework for other people to use when creating similar methods.

Keywords

» Artificial intelligence  » Gradient descent  » Loss function  » Optimization