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Summary of A Novel Characterization Of the Population Area Under the Risk Coverage Curve (aurc) and Rates Of Finite Sample Estimators, by Han Zhou et al.


A Novel Characterization of the Population Area Under the Risk Coverage Curve (AURC) and Rates of Finite Sample Estimators

by Han Zhou, Jordy Van Landeghem, Teodora Popordanoska, Matthew B. Blaschko

First submitted to arxiv on: 20 Oct 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
The proposed Selective Classifier (SC) aims to address uncertainty thresholding for safety-critical applications. The Area Under the Risk-Coverage Curve (AURC) serves as a key evaluation metric, and this work presents a statistical formulation of population AURC, providing an equivalent reweighted risk function. Monte Carlo methods are used to derive empirical AURC plug-in estimators for finite samples, showing consistency with low bias and tightly bounded mean squared error (MSE). The estimators converge at a rate of O(sqrt(ln(n)/n)) and are validated through experiments on multiple datasets, model architectures, and confidence score functions (CSFs), demonstrating effectiveness in fine-tuning AURC performance.
Low GrooveSquid.com (original content) Low Difficulty Summary
A new way to analyze a special type of computer program called the Selective Classifier is being developed. This type of program is important for making decisions in situations where safety matters, like medical diagnosis or self-driving cars. The program’s performance can be measured by looking at how well it does on a special chart called the Area Under the Risk-Coverage Curve. This work shows a new way to calculate this measure and tests it using different types of data and computer programs.

Keywords

» Artificial intelligence  » Fine tuning  » Mse