Partial Rankings of Optimizers

Julian Rodemann; Hannah Blocher

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arXiv · 2402.16565

Partial Rankings of Optimizers

Julian Rodemann·Hannah Blocher

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Abstract

We introduce a framework for benchmarking optimizers according to multiple criteria over various test functions. Based on a recently introduced union-free generic depth function for partial orders/rankings, it fully exploits the ordinal information and allows for incomparability. Our method describes the distribution of all partial orders/rankings, avoiding the notorious shortcomings of aggregation. This permits to identify test functions that produce central or outlying rankings of optimizers and to assess the quality of benchmarking suites.

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Julian Rodemann, Hannah Blocher. 2024-02-26. Partial Rankings of Optimizers. https://arxiv.org/abs/2402.16565

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