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Summary of Criterion Collapse and Loss Distribution Control, by Matthew J. Holland


Criterion Collapse and Loss Distribution Control

by Matthew J. Holland

First submitted to arxiv on: 15 Feb 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Machine Learning (cs.LG)

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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 paper delves into the phenomenon of “criterion collapse” in machine learning, where optimizing one metric leads to optimality in another. The authors focus on identifying conditions for collapse under various learning criteria, including DRO and OCE risks, CVaR, tilted ERM, Flooding, and SoftAD algorithms. They demonstrate that criterion collapse extends beyond existing results for CVaR and DRO, and further explore surrogate losses to show when monotonic criteria like tilted ERM cannot avoid collapse, whereas non-monotonic alternatives can.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper is about how machine learning models can get stuck in a cycle where they’re optimized for one thing, but end up doing something else. The researchers looked at different ways of measuring how well a model performs and found that sometimes these measurements can “collapse” into each other. They wanted to know when this happens and under what conditions. By studying things like DRO and OCE risks, CVaR, and tilted ERM, they found some surprising results about what happens when models are optimized for certain metrics.

Keywords

* Artificial intelligence  * Machine learning