Quadratic Metric Elicitation for Fairness and Beyond
- URL: http://arxiv.org/abs/2011.01516v3
- Date: Sun, 21 Aug 2022 07:12:08 GMT
- Title: Quadratic Metric Elicitation for Fairness and Beyond
- Authors: Gaurush Hiranandani, Jatin Mathur, Harikrishna Narasimhan, Oluwasanmi
Koyejo
- Abstract summary: This paper develops a strategy for eliciting more flexible multiclass metrics defined by quadratic functions of rates.
We show its application in eliciting quadratic violation-based group-fair metrics.
- Score: 28.1407078984806
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Metric elicitation is a recent framework for eliciting classification
performance metrics that best reflect implicit user preferences based on the
task and context. However, available elicitation strategies have been limited
to linear (or quasi-linear) functions of predictive rates, which can be
practically restrictive for many applications including fairness. This paper
develops a strategy for eliciting more flexible multiclass metrics defined by
quadratic functions of rates, designed to reflect human preferences better. We
show its application in eliciting quadratic violation-based group-fair metrics.
Our strategy requires only relative preference feedback, is robust to noise,
and achieves near-optimal query complexity. We further extend this strategy to
eliciting polynomial metrics -- thus broadening the use cases for metric
elicitation.
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