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This research investigates the application of tabular foundation models to discrete choice problems in demand estimation, revealing that standard row-independent architectures struggle with consumer preference heterogeneity. The authors propose a structural reformulation that encodes set-valued dependencies and individual variations, achieving superior accuracy over hierarchical Bayesian methods while running 16 times faster on large-scale datasets like yogurt scanner panels. These findings offer a practical pathway for deploying foundation models in marketing operations where traditional parametric shrinkage distorts estimates for atypical consumers.
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Tabular Foundation Models for Discrete Choice Estimation

arXiv3 min read

arXiv:2607.13314v2 Announce Type: replace-cross Abstract: Tabular foundation models (TFMs) generate predictions on structured data via in-context learning, without task-specific estimation. We ask whether TFMs can be effectively applied to discrete choice, a central demand estimation framework in marketing and operations, and find that directly applying TFMs yields limited performance. The gap is structural: TFMs assume row-independent observations, whereas discrete choice is inherently set-valued and subject to persistent consumer preference heterogeneity. We propose a reformulation that encodes both choice-set dependence and individual heterogeneity within a row-based learning framework. Evaluated on a yogurt scanner panel, individual-level heterogeneity encoding is the dominant driver of predictive accuracy. The best reformulation outperforms hierarchical Bayesian estimation on both holdout log-likelihood and hit rate, running 16 times faster, a practical advantage for large-scale demand estimation. The advantage is largest in the medium-data regime (10--40 purchase occasions per consumer), where parametric Bayesian shrinkage most distorts estimates for atypical consumers. Fine-tuning on population choice data provides additional gains for consumers with shallow purchase histories, where in-context learning has limited individual-specific signal to condition on. These results establish a principled approach for applying foundation models to consumer choice problems more broadly.

Abstract:Tabular foundation models (TFMs) generate predictions on structured data via in-context learning, without task-specific estimation. We ask whether TFMs can be effectively applied to discrete choice, a central demand estimation framework in marketing and operations, and find that directly applying TFMs yields limited performance. The gap is structural: TFMs assume row-independent observations, whereas discrete choice is inherently set-valued and subject to persistent consumer preference heterogeneity. We propose a reformulation that encodes both choice-set dependence and individual heterogeneity within a row-based learning framework. Evaluated on a yogurt scanner panel, individual-level heterogeneity encoding is the dominant driver of predictive accuracy. The best reformulation outperforms hierarchical Bayesian estimation on both holdout log-likelihood and hit rate, running 16 times faster, a practical advantage for large-scale demand estimation. The advantage is largest in the medium-data regime (10--40 purchase occasions per consumer), where parametric Bayesian shrinkage most distorts estimates for atypical consumers. Fine-tuning on population choice data provides additional gains for consumers with shallow purchase histories, where in-context learning has limited individual-specific signal to condition on. These results establish a principled approach for applying foundation models to consumer choice problems more broadly.

Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Econometrics (econ.EM)

arXiv:2607.13314 [cs.LG]

(or arXiv:2607.13314v2 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2607.13314 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 283 words

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