aiqbench analysis
The study compares discrete, continuous, and hybrid ways of feeding numeric values into transformers, using synthetic arithmetic and clinical prediction tasks on EHR data. Its main practical finding is that binning values before projection gives a more robust default than fully continuous encodings, with the best bin count scaling as a power law in dataset size. Readers should note that the models reach "good enough" numeric reasoning rather than exact arithmetic, and that lab-value gains depend on the task.
How Should Transformers Encode Numeric Values in Electronic Health Records?
arXiv:2607.01391v2 Announce Type: replace Abstract: How do we encode numeric values in transformer-based sequence processing, particularly in electronic health record (EHR) data? We systematically compare discrete, continuous, and hybrid value encoding strategies using synthetic arithmetic tasks embedded within real-world EHR data, as well as real-world clinical prediction tasks. Our study reveals trade-offs between numeric precision, optimisation stability, and architectural flexibility. We find that approaches that explicitly model value-concept interactions perform best on precision-sensitive arithmetic tasks when architectural constraints permit. Hybrid token-based approaches that retain numeric values but apply binning prior to projection provide a more robust and broadly applicable alternative, with the optimal number of bins following a simple empirically derived power-law in dataset size. Across tasks, models consistently exhibit reliable "good enough" numeric computation rather than exact arithmetic, while clinical gains from incorporating laboratory values are task-dependent. This suggests that robustness and deployability often outweigh maximal numeric precision in practice, motivating hybrid token-based approaches as a practical default.
Title:How Should Transformers Encode Numeric Values in Electronic Health Records?
Abstract:How do we encode numeric values in transformer-based sequence processing, particularly in electronic health record (EHR) data? We systematically compare discrete, continuous, and hybrid value encoding strategies using synthetic arithmetic tasks embedded within real-world EHR data, as well as real-world clinical prediction tasks. Our study reveals trade-offs between numeric precision, optimisation stability, and architectural flexibility. We find that approaches that explicitly model value-concept interactions perform best on precision-sensitive arithmetic tasks when architectural constraints permit. Hybrid token-based approaches that retain numeric values but apply binning prior to projection provide a more robust and broadly applicable alternative, with the optimal number of bins following a simple empirically derived power-law in dataset size. Across tasks, models consistently exhibit reliable "good enough" numeric computation rather than exact arithmetic, while clinical gains from incorporating laboratory values are task-dependent. This suggests that robustness and deployability often outweigh maximal numeric precision in practice, motivating hybrid token-based approaches as a practical default.
Machine Learning (cs.LG); Artificial Intelligence (cs.AI)
arXiv:2607.01391 [cs.LG]
(or arXiv:2607.01391v2 [cs.LG] for this version)
https://doi.org/10.48550/arXiv.2607.01391 Focus to learn more arXiv-issued DOI via DataCite
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Full text under the publisher's open licence · 259 words
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