Auto-bidding under Return-on-Spend Constraints with Uncertainty Quantification

Fuente: arXiv
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Autores principales: Han, Jiale, Gan, Chun, Zhang, Chengcheng, He, Jie, Lin, Zhangang, Law, Ching, Dai, Xiaowu
Formato: Preprint
Publicado: 2025
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author Han, Jiale
Gan, Chun
Zhang, Chengcheng
He, Jie
Lin, Zhangang
Law, Ching
Dai, Xiaowu
author_facet Han, Jiale
Gan, Chun
Zhang, Chengcheng
He, Jie
Lin, Zhangang
Law, Ching
Dai, Xiaowu
contents Auto-bidding systems are widely used in advertising to automatically determine bid values under constraints such as total budget and Return-on-Spend (RoS) targets. Existing works often assume that the value of an ad impression, such as the conversion rate, is known. This paper considers the more realistic scenario where the true value is unknown. We propose a novel method that uses conformal prediction to quantify the uncertainty of these values based on machine learning methods trained on historical bidding data with contextual features, without assuming the data are i.i.d. This approach is compatible with current industry systems that use machine learning to predict values. Building on prediction intervals, we introduce an adjusted value estimator derived from machine learning predictions, and show that it provides performance guarantees without requiring knowledge of the true value. We apply this method to enhance existing auto-bidding algorithms with budget and RoS constraints, and establish theoretical guarantees for achieving high reward while keeping RoS violations low. Empirical results on both simulated and real-world industrial datasets demonstrate that our approach improves performance while maintaining computational efficiency.
format Preprint
id arxiv_https___arxiv_org_abs_2509_16324
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Auto-bidding under Return-on-Spend Constraints with Uncertainty Quantification
Han, Jiale
Gan, Chun
Zhang, Chengcheng
He, Jie
Lin, Zhangang
Law, Ching
Dai, Xiaowu
Machine Learning
Computer Science and Game Theory
Auto-bidding systems are widely used in advertising to automatically determine bid values under constraints such as total budget and Return-on-Spend (RoS) targets. Existing works often assume that the value of an ad impression, such as the conversion rate, is known. This paper considers the more realistic scenario where the true value is unknown. We propose a novel method that uses conformal prediction to quantify the uncertainty of these values based on machine learning methods trained on historical bidding data with contextual features, without assuming the data are i.i.d. This approach is compatible with current industry systems that use machine learning to predict values. Building on prediction intervals, we introduce an adjusted value estimator derived from machine learning predictions, and show that it provides performance guarantees without requiring knowledge of the true value. We apply this method to enhance existing auto-bidding algorithms with budget and RoS constraints, and establish theoretical guarantees for achieving high reward while keeping RoS violations low. Empirical results on both simulated and real-world industrial datasets demonstrate that our approach improves performance while maintaining computational efficiency.
title Auto-bidding under Return-on-Spend Constraints with Uncertainty Quantification
topic Machine Learning
Computer Science and Game Theory
url https://arxiv.org/abs/2509.16324