Lower-Left Partial AUC: An Effective and Efficient Optimization Metric for Recommendation

Fuente: arXiv
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Autores principales: Shi, Wentao, Wang, Chenxu, Feng, Fuli, Zhang, Yang, Wang, Wenjie, Wu, Junkang, He, Xiangnan
Formato: Preprint
Publicado: 2024
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author Shi, Wentao
Wang, Chenxu
Feng, Fuli
Zhang, Yang
Wang, Wenjie
Wu, Junkang
He, Xiangnan
author_facet Shi, Wentao
Wang, Chenxu
Feng, Fuli
Zhang, Yang
Wang, Wenjie
Wu, Junkang
He, Xiangnan
contents Optimization metrics are crucial for building recommendation systems at scale. However, an effective and efficient metric for practical use remains elusive. While Top-K ranking metrics are the gold standard for optimization, they suffer from significant computational overhead. Alternatively, the more efficient accuracy and AUC metrics often fall short of capturing the true targets of recommendation tasks, leading to suboptimal performance. To overcome this dilemma, we propose a new optimization metric, Lower-Left Partial AUC (LLPAUC), which is computationally efficient like AUC but strongly correlates with Top-K ranking metrics. Compared to AUC, LLPAUC considers only the partial area under the ROC curve in the Lower-Left corner to push the optimization focus on Top-K. We provide theoretical validation of the correlation between LLPAUC and Top-K ranking metrics and demonstrate its robustness to noisy user feedback. We further design an efficient point-wise recommendation loss to maximize LLPAUC and evaluate it on three datasets, validating its effectiveness and robustness.
format Preprint
id arxiv_https___arxiv_org_abs_2403_00844
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Lower-Left Partial AUC: An Effective and Efficient Optimization Metric for Recommendation
Shi, Wentao
Wang, Chenxu
Feng, Fuli
Zhang, Yang
Wang, Wenjie
Wu, Junkang
He, Xiangnan
Information Retrieval
Machine Learning
Optimization metrics are crucial for building recommendation systems at scale. However, an effective and efficient metric for practical use remains elusive. While Top-K ranking metrics are the gold standard for optimization, they suffer from significant computational overhead. Alternatively, the more efficient accuracy and AUC metrics often fall short of capturing the true targets of recommendation tasks, leading to suboptimal performance. To overcome this dilemma, we propose a new optimization metric, Lower-Left Partial AUC (LLPAUC), which is computationally efficient like AUC but strongly correlates with Top-K ranking metrics. Compared to AUC, LLPAUC considers only the partial area under the ROC curve in the Lower-Left corner to push the optimization focus on Top-K. We provide theoretical validation of the correlation between LLPAUC and Top-K ranking metrics and demonstrate its robustness to noisy user feedback. We further design an efficient point-wise recommendation loss to maximize LLPAUC and evaluate it on three datasets, validating its effectiveness and robustness.
title Lower-Left Partial AUC: An Effective and Efficient Optimization Metric for Recommendation
topic Information Retrieval
Machine Learning
url https://arxiv.org/abs/2403.00844