Discrete Tokenization Unlocks Transformers for Calibrated Tabular Forecasting
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Abstract (arXiv)
Gradient boosting still dominates Transformers on tabular benchmarks. Our tokenizer uses a deliberately simplistic discretized vocabulary so we can highlight how even basic tokenization unlocks the power of attention on tabular features, yet it already outperforms tuned gradient boosting when combined with Gaussian smoothing. Our solution discretizes environmental context while smoothing labels with adaptive Gaussians, yielding calibrated PDFs. On 600K entities (5M training examples) we outperform tuned XGBoost by 10.8% (35.94s vs 40.31s median MAE) and achieve KS=0.0045 with the adaptive-sigma checkpoint selected to minimize KS rather than median MAE. Ablations confirm architecture matters: losing sequential ordering costs about 2.0%, dropping the time-delta tokens costs about 1.8%, and a stratified calibration analysis reveals where miscalibration persists.
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References · 14
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- 2017On Calibration of Modern Neural Networkscited by 4,960
- 2024Chronos: Learning the Language of Time Seriescited by 759
- 2021Revisiting Deep Learning Models for Tabular Datacited by 740
- 2019TabNet: Attentive Interpretable Tabular Learningcited by 648
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- 2018Accurate Uncertainties for Deep Learning Using Calibrated Regressioncited by 422
- 2020TabTransformer: Tabular Data Modeling Using Contextual Embeddingscited by 409
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- 2020Transformer Hawkes Processcited by 235
- 2025Chronos-2: From Univariate to Universal Forecastingcited by 194
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