Preprint
Machine Learning

TinyCast: Probabilistic Zero-Shot Forecasting with Computed Periodicity

Armin Steinhauser
August 16, 2026

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2026

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Abstract

We introduce TinyCast, an attention-free zero-shot forecaster that emits a predictive distribution from 146,505 parameters, on the premise that at this size the periodic structure of a context is worth computing rather than learning. A zero-parameter spectral detector supplies the dominant periods, the context is folded on their phase, and a dilated convolutional encoder and a block-autoregressive quantile decoder model the rest. It is smaller than every zero-shot entry on the GIFT-Eval board whose parameter count can be established. On probabilistic accuracy it defines the size-accuracy frontier. Among zero-shot entries declaring no test-data leakage it is the only one below 1.4M parameters that emits a predictive distribution, and every entry scoring better carries at least that budget. On Chronos-ZS and fev-bench every neural model ahead of it carries at least 28 times its parameters. Because the mixing path is convolutions and matrix multiplications only, it exports to static INT8 and forecasts end to end on an embedded device without per-signal fitting.

Analysis

Why This Paper Matters

TinyCast challenges the prevailing trend in time-series forecasting that larger models with attention mechanisms are necessary for zero-shot generalization. By showing that a 146K-parameter model can achieve competitive probabilistic accuracy, it highlights the value of exploiting domain-specific structure—periodicity—rather than relying on massive learned capacity. This is particularly significant for edge deployment, where memory and compute are constrained.

The paper also addresses a gap in the GIFT-Eval benchmark: most zero-shot entries are either large or do not provide predictive distributions. TinyCast is the only sub-1.4M parameter model that emits a distribution without test-data leakage, making it a new reference point for efficient probabilistic forecasting. Its success suggests that for many real-world time series, the periodic structure is more informative than complex learned representations.

Technical Contributions

  • Computed Periodicity: A zero-parameter spectral detector identifies dominant periods, which are then used to fold the context on phase. This replaces learned periodicity detection, saving parameters and improving interpretability.
  • Attention-Free Architecture: Uses dilated convolutions for encoding and a block-autoregressive quantile decoder, avoiding attention's quadratic complexity and enabling efficient inference.
  • Probabilistic Output: Emits a full predictive distribution via quantile regression, not just point forecasts, which is crucial for decision-making under uncertainty.
  • INT8 Exportability: The model's operations are limited to convolutions and matrix multiplications, allowing static INT8 quantization and deployment on embedded devices without per-signal fitting.

Results

On GIFT-Eval, TinyCast defines the size-accuracy frontier for probabilistic accuracy among zero-shot entries. It is the only model below 1.4M parameters that emits a predictive distribution and declares no test-data leakage; every entry with better accuracy carries at least that parameter budget. On Chronos-ZS and fev-bench, all neural models ahead of it have at least 28 times its parameters, underscoring its efficiency. While the abstract does not provide exact accuracy numbers, the relative comparisons establish TinyCast's competitive performance at a fraction of the size.

Significance

TinyCast's approach could shift research focus from scaling up models to incorporating domain knowledge and efficient architectures. It demonstrates that careful algorithmic design—like computing periodicity—can outperform brute-force learning for certain tasks. This is especially relevant for IoT and edge AI, where model size and latency are critical. The work also encourages the development of benchmarks that consider parameter efficiency and probabilistic outputs, not just raw accuracy. Future work might explore extending this method to non-periodic series or integrating it with larger models for hybrid approaches.