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Main Authors: Applebaum, Lorne, Busa-Fekete, Robert, Chen, August Y., Gentile, Claudio, Koren, Tomer, Mokhtari, Aryan
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.06276
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author Applebaum, Lorne
Busa-Fekete, Robert
Chen, August Y.
Gentile, Claudio
Koren, Tomer
Mokhtari, Aryan
author_facet Applebaum, Lorne
Busa-Fekete, Robert
Chen, August Y.
Gentile, Claudio
Koren, Tomer
Mokhtari, Aryan
contents We address the problem of training conversion prediction models in advertising domains under privacy constraints, where direct links between ad clicks and conversions are unavailable. Motivated by privacy-preserving browser APIs and the deprecation of third-party cookies, we study a setting where the learner observes a sequence of clicks and a sequence of conversions, but can only link a conversion to a set of candidate clicks (an attribution set) rather than a unique source. We formalize this as learning from attribution sets generated by an oblivious adversary equipped with a prior distribution over the candidates. Despite the lack of explicit labels, we construct an unbiased estimator of the population loss from these coarse signals via a novel approach. Leveraging this estimator, we show that Empirical Risk Minimization achieves generalization guarantees that scale with the informativeness of the prior and is also robust against estimation errors in the prior, despite complex dependencies among attribution sets. Simple empirical evaluations on standard datasets suggest our unbiased approach significantly outperforms common industry heuristics, particularly in regimes where attribution sets are large or overlapping.
format Preprint
id arxiv_https___arxiv_org_abs_2602_06276
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Statistical Learning from Attribution Sets
Applebaum, Lorne
Busa-Fekete, Robert
Chen, August Y.
Gentile, Claudio
Koren, Tomer
Mokhtari, Aryan
Machine Learning
We address the problem of training conversion prediction models in advertising domains under privacy constraints, where direct links between ad clicks and conversions are unavailable. Motivated by privacy-preserving browser APIs and the deprecation of third-party cookies, we study a setting where the learner observes a sequence of clicks and a sequence of conversions, but can only link a conversion to a set of candidate clicks (an attribution set) rather than a unique source. We formalize this as learning from attribution sets generated by an oblivious adversary equipped with a prior distribution over the candidates. Despite the lack of explicit labels, we construct an unbiased estimator of the population loss from these coarse signals via a novel approach. Leveraging this estimator, we show that Empirical Risk Minimization achieves generalization guarantees that scale with the informativeness of the prior and is also robust against estimation errors in the prior, despite complex dependencies among attribution sets. Simple empirical evaluations on standard datasets suggest our unbiased approach significantly outperforms common industry heuristics, particularly in regimes where attribution sets are large or overlapping.
title Statistical Learning from Attribution Sets
topic Machine Learning
url https://arxiv.org/abs/2602.06276