Comparing Foundation Models using Data Kernels

Fuente: arXiv
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Auteurs principaux: Duderstadt, Brandon, Helm, Hayden S., Priebe, Carey E.
Format: Preprint
Publié: 2023
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author Duderstadt, Brandon
Helm, Hayden S.
Priebe, Carey E.
author_facet Duderstadt, Brandon
Helm, Hayden S.
Priebe, Carey E.
contents Recent advances in self-supervised learning and neural network scaling have enabled the creation of large models, known as foundation models, which can be easily adapted to a wide range of downstream tasks. The current paradigm for comparing foundation models involves evaluating them with aggregate metrics on various benchmark datasets. This method of model comparison is heavily dependent on the chosen evaluation metric, which makes it unsuitable for situations where the ideal metric is either not obvious or unavailable. In this work, we present a methodology for directly comparing the embedding space geometry of foundation models, which facilitates model comparison without the need for an explicit evaluation metric. Our methodology is grounded in random graph theory and enables valid hypothesis testing of embedding similarity on a per-datum basis. Further, we demonstrate how our methodology can be extended to facilitate population level model comparison. In particular, we show how our framework can induce a manifold of models equipped with a distance function that correlates strongly with several downstream metrics. We remark on the utility of this population level model comparison as a first step towards a taxonomic science of foundation models.
format Preprint
id arxiv_https___arxiv_org_abs_2305_05126
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Comparing Foundation Models using Data Kernels
Duderstadt, Brandon
Helm, Hayden S.
Priebe, Carey E.
Machine Learning
Artificial Intelligence
Methodology
Recent advances in self-supervised learning and neural network scaling have enabled the creation of large models, known as foundation models, which can be easily adapted to a wide range of downstream tasks. The current paradigm for comparing foundation models involves evaluating them with aggregate metrics on various benchmark datasets. This method of model comparison is heavily dependent on the chosen evaluation metric, which makes it unsuitable for situations where the ideal metric is either not obvious or unavailable. In this work, we present a methodology for directly comparing the embedding space geometry of foundation models, which facilitates model comparison without the need for an explicit evaluation metric. Our methodology is grounded in random graph theory and enables valid hypothesis testing of embedding similarity on a per-datum basis. Further, we demonstrate how our methodology can be extended to facilitate population level model comparison. In particular, we show how our framework can induce a manifold of models equipped with a distance function that correlates strongly with several downstream metrics. We remark on the utility of this population level model comparison as a first step towards a taxonomic science of foundation models.
title Comparing Foundation Models using Data Kernels
topic Machine Learning
Artificial Intelligence
Methodology
url https://arxiv.org/abs/2305.05126