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Hauptverfasser: Elkady, Mai, Bui, Thu, Ribeiro, Bruno, Inouye, David I.
Format: Preprint
Veröffentlicht: 2024
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2411.13358
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author Elkady, Mai
Bui, Thu
Ribeiro, Bruno
Inouye, David I.
author_facet Elkady, Mai
Bui, Thu
Ribeiro, Bruno
Inouye, David I.
contents There has been a growing excitement that implicit graph generative models could be used to design or discover new molecules for medicine or material design. Because these molecules have not been discovered, they naturally lie in unexplored or scarcely supported regions of the distribution of known molecules. However, prior evaluation methods for implicit graph generative models have focused on validating statistics computed from the thick support (e.g., mean and variance of a graph property). Therefore, there is a mismatch between the goal of generating novel graphs and the evaluation methods. To address this evaluation gap, we design a novel evaluation method called Vertical Validation (VV) that systematically creates thin support regions during the train-test splitting procedure and then reweights generated samples so that they can be compared to the held-out test data. This procedure can be seen as a generalization of the standard train-test procedure except that the splits are dependent on sample features. We demonstrate that our method can be used to perform model selection if performance on thin support regions is the desired goal. As a side benefit, we also show that our approach can better detect overfitting as exemplified by memorization.
format Preprint
id arxiv_https___arxiv_org_abs_2411_13358
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Vertical Validation: Evaluating Implicit Generative Models for Graphs on Thin Support Regions
Elkady, Mai
Bui, Thu
Ribeiro, Bruno
Inouye, David I.
Machine Learning
There has been a growing excitement that implicit graph generative models could be used to design or discover new molecules for medicine or material design. Because these molecules have not been discovered, they naturally lie in unexplored or scarcely supported regions of the distribution of known molecules. However, prior evaluation methods for implicit graph generative models have focused on validating statistics computed from the thick support (e.g., mean and variance of a graph property). Therefore, there is a mismatch between the goal of generating novel graphs and the evaluation methods. To address this evaluation gap, we design a novel evaluation method called Vertical Validation (VV) that systematically creates thin support regions during the train-test splitting procedure and then reweights generated samples so that they can be compared to the held-out test data. This procedure can be seen as a generalization of the standard train-test procedure except that the splits are dependent on sample features. We demonstrate that our method can be used to perform model selection if performance on thin support regions is the desired goal. As a side benefit, we also show that our approach can better detect overfitting as exemplified by memorization.
title Vertical Validation: Evaluating Implicit Generative Models for Graphs on Thin Support Regions
topic Machine Learning
url https://arxiv.org/abs/2411.13358