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A Path to Simpler Models Starts With Noise.

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Noisier datasets result in larger Rashomon sets, where many models perform equally well. This explains why simpler models often match complex ones on noisy data, impacting fields like healthcare and criminal justice.

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Area of Science:

  • Machine Learning
  • Data Science
  • Statistical Modeling

Background:

  • The Rashomon set comprises models with similar performance on a dataset.
  • The Rashomon ratio quantifies the proportion of models within the hypothesis space that belong to the Rashomon set.
  • Large Rashomon ratios are frequently observed in tabular data across various domains, including criminal justice, healthcare, and finance, raising questions about model simplicity versus complexity.

Purpose of the Study:

  • To investigate the underlying reasons for the prevalence of large Rashomon ratios.
  • To propose a mechanism linking data generation and analyst choices to Rashomon ratio size.
  • To explain why simpler models can achieve comparable accuracy to complex models on certain datasets.

Main Methods:

  • Analyzing the interplay between data generation processes and analyst decisions during model training.
  • Demonstrating the effect of dataset noise on Rashomon ratio size through empirical analysis.
  • Introducing and studying 'pattern diversity' as a metric to quantify prediction differences within the Rashomon set.

Main Results:

  • Noisier datasets demonstrably lead to larger Rashomon ratios.
  • Pattern diversity tends to increase with label noise, correlating with larger Rashomon sets.
  • The proposed mechanism provides insight into the relationship between data characteristics and model performance variation.

Conclusions:

  • Data noise and analyst choices significantly influence the size of the Rashomon set.
  • Understanding these factors helps explain the effectiveness of simpler models on complex, noisy datasets.
  • The findings have implications for model selection and interpretation in applied machine learning.