StatD2GAN: When Calibration Masks Generator Quality in Held-Out Evaluation of Synthetic Weather Sequences
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Abstract (arXiv)
Generative models for multivariate weather series are routinely evaluated with pooled distributional metrics computed after marginal calibration. We show this practice can invalidate architectural conclusions, and rebuild the evaluation of StatD2GAN, a three-discriminator GAN with evolutionary weight adaptation, around a held-out protocol: the final two calendar years of each dataset are held out behind a 168 hour embargo, calibration is fitted on the training block only, and all metrics are computed on the held-out block. Evidence comes from 25 matched (location, seed) pairs across five Koppen-Geiger climates, tested with Wilcoxon signed-rank tests under Holm correction. Four results follow. First, isotonic calibration drives the Kolmogorov-Smirnov distance to within 2% of a per-location noise-and-shift floor for every architecture tested, including a deliberately weak RCGAN baseline, so calibrated marginal metrics cannot discriminate between architectures. Second, the sorted-representation discriminator is the only component whose removal significantly degrades cross-variable dependence (Kendall tau MAE +0.080, Holm p = 0.009), with a regime-dependent effect: near zero in Ankara, above 115% in Dubai and Yakutsk. A rank-transformed variant isolates the mechanism as quantile supervision of the marginals rather than copula matching. Third, physical constraint violations are injected by calibration, not the generator; projection removes them at negligible cost (deltaKS <= 0.003). Fourth, pooled metrics conceal a collapse of between-sequence weekly-mean variability, a proxy for seasonal and regime diversity, in TimeGAN that only sequence-level statistics expose. We recommend floor-referenced marginal evaluation, matched-pair testing, and sequence-level variance decomposition as minimum requirements for calibrated generative pipelines.
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References · 13
- 2017Improved Training of Wasserstein GANscited by 2,235
- 2018Which Training Methods for GANs do actually Converge?cited by 679
- 2017Real-valued (Medical) Time Series Generation with Recurrent Conditional GANscited by 333
- 2017Dual Discriminator Generative Adversarial Netscited by 55
- 2023On the Constrained Time-Series Generation Problemcited by 54
- 2022Physically Constrained Generative Adversarial Networks for Improving Precipitation Fields from Earth System Modelscited by 29
- 2021MCL-GAN: Generative Adversarial Networks with Multiple Specialized Discriminatorscited by 11
- 2024SeriesGAN: Time Series Generation via Adversarial and Autoregressive Learningcited by 6
- 2021DuelGAN: A Duel Between Two Discriminators Stabilizes the GAN Trainingcited by 4
- 2022Physics-Constrained Generative Adversarial Networks for 3D Turbulencecited by 4
- 2023ALGAN: Time Series Anomaly Detection with Adjusted-LSTM GANcited by 4
- 2025PINT: Physics-Informed Neural Time Series Models with Applications to Long-term Inference on WeatherBench 2m-Temperature Datacited by 2
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- 2025Generalized Dual Discriminator GANscited by 1
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