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Ranks01:02

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Unlike parametric methods, nonparametric statistics are ideal for nominal and ordinal data, requiring fewer assumptions about the population's nature or distribution. This makes nonparametric methods easier to apply and interpret, as they do not depend on parameters like mean or standard deviation. One common approach in nonparametric analysis is to sort data according to a specific criterion. For instance, we might arrange weather data from hottest to coldest days in a month or rank cities...
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The Wilcoxon rank-sum test, also known as the Mann-Whitney U test, is a nonparametric test used to determine if there is a significant difference between the distributions of two independent samples. This test is designed specifically for two independent populations and has the following key requirements:
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The Wilcoxon signed-rank test for matched pairs evaluates the null hypothesis by combining the ranks of differences with their signs. It essentially tests whether the median of the differences in a population of matched pairs is zero. Since the test incorporates more information than the sign test, it generally yields more trustable conclusions. This test also does not require the data to follow a normal distribution, but two conditions must be met for it to be applicable: (1) the data must...
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Bipartite Ranking Fairness Through a Model Agnostic Ordering Adjustment.

Sen Cui, Weishen Pan, Changshui Zhang

    IEEE Transactions on Pattern Analysis and Machine Intelligence
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    Summary
    This summary is machine-generated.

    We introduce xOrder, a model-agnostic framework for achieving fairness in bipartite ranking. It balances algorithmic utility and fairness across protected groups without compromising performance.

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    Area of Science:

    • Machine Learning
    • Algorithmic Fairness
    • Data Science

    Background:

    • Algorithmic fairness is a growing concern in machine learning, particularly in ranking scenarios.
    • Learned ranking functions can exhibit systematic disparities across different protected groups.
    • Existing methods may face a trade-off between fairness and classification performance.

    Purpose of the Study:

    • To propose a model-agnostic post-processing framework, xOrder, for achieving fairness in bipartite ranking.
    • To maintain algorithm classification performance while ensuring fairness.
    • To address fairness concerns across binary and multiple protected groups.

    Main Methods:

    • xOrder optimizes a weighted sum of utility by identifying an optimal warping path across protected groups.
    • The optimization is solved using a dynamic programming process.
    • The framework is compatible with various classification models and fairness metrics (supervised and unsupervised).

    Main Results:

    • xOrder consistently achieves a better balance between algorithm utility and ranking fairness across diverse datasets and metrics.
    • Visualizations show xOrder mitigates score distribution shifts between groups compared to baselines.
    • Analytical results confirm robust performance with limited samples and training-testing distribution differences.

    Conclusions:

    • xOrder effectively enhances fairness in bipartite ranking without sacrificing performance.
    • The framework offers a flexible and robust solution for mitigating algorithmic disparities.
    • xOrder demonstrates practical applicability on benchmark and real-world electronic health record data.