Grade Inflation in Generative Models

Fuente: arXiv
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Hauptverfasser: Nguyen, Phuc, Li, Miao, Morgan, Alexandra, Arnaout, Rima, Arnaout, Ramy
Format: Preprint
Veröffentlicht: 2024
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_version_ 1866909464174526464
author Nguyen, Phuc
Li, Miao
Morgan, Alexandra
Arnaout, Rima
Arnaout, Ramy
author_facet Nguyen, Phuc
Li, Miao
Morgan, Alexandra
Arnaout, Rima
Arnaout, Ramy
contents Generative models hold great potential, but only if one can trust the evaluation of the data they generate. We show that many commonly used quality scores for comparing two-dimensional distributions of synthetic vs. ground-truth data give better results than they should, a phenomenon we call the "grade inflation problem." We show that the correlation score, Jaccard score, earth-mover's score, and Kullback-Leibler (relative-entropy) score all suffer grade inflation. We propose that any score that values all datapoints equally, as these do, will also exhibit grade inflation; we refer to such scores as "equipoint" scores. We introduce the concept of "equidensity" scores, and present the Eden score, to our knowledge the first example of such a score. We found that Eden avoids grade inflation and agrees better with human perception of goodness-of-fit than the equipoint scores above. We propose that any reasonable equidensity score will avoid grade inflation. We identify a connection between equidensity scores and Rényi entropy of negative order. We conclude that equidensity scores are likely to outperform equipoint scores for generative models, and for comparing low-dimensional distributions more generally.
format Preprint
id arxiv_https___arxiv_org_abs_2501_00664
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Grade Inflation in Generative Models
Nguyen, Phuc
Li, Miao
Morgan, Alexandra
Arnaout, Rima
Arnaout, Ramy
Artificial Intelligence
Machine Learning
Generative models hold great potential, but only if one can trust the evaluation of the data they generate. We show that many commonly used quality scores for comparing two-dimensional distributions of synthetic vs. ground-truth data give better results than they should, a phenomenon we call the "grade inflation problem." We show that the correlation score, Jaccard score, earth-mover's score, and Kullback-Leibler (relative-entropy) score all suffer grade inflation. We propose that any score that values all datapoints equally, as these do, will also exhibit grade inflation; we refer to such scores as "equipoint" scores. We introduce the concept of "equidensity" scores, and present the Eden score, to our knowledge the first example of such a score. We found that Eden avoids grade inflation and agrees better with human perception of goodness-of-fit than the equipoint scores above. We propose that any reasonable equidensity score will avoid grade inflation. We identify a connection between equidensity scores and Rényi entropy of negative order. We conclude that equidensity scores are likely to outperform equipoint scores for generative models, and for comparing low-dimensional distributions more generally.
title Grade Inflation in Generative Models
topic Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2501.00664