On Neural Scaling Laws for Weather Emulation through Continual Training

Fuente: arXiv
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Autori principali: Subramanian, Shashank, Kiefer, Alexander, Nigmetov, Arnur, Gholami, Amir, Morozov, Dmitriy, Mahoney, Michael W.
Natura: Preprint
Pubblicazione: 2026
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author Subramanian, Shashank
Kiefer, Alexander
Nigmetov, Arnur
Gholami, Amir
Morozov, Dmitriy
Mahoney, Michael W.
author_facet Subramanian, Shashank
Kiefer, Alexander
Nigmetov, Arnur
Gholami, Amir
Morozov, Dmitriy
Mahoney, Michael W.
contents Neural scaling laws, which in some domains can predict the performance of large neural networks as a function of model, data, and compute scale, are the cornerstone of building foundation models in Natural Language Processing and Computer Vision. We study neural scaling in Scientific Machine Learning, focusing on models for weather forecasting. To analyze scaling behavior in as simple a setting as possible, we adopt a minimal, scalable, general-purpose Swin Transformer architecture, and we use continual training with constant learning rates and periodic cooldowns as an efficient training strategy. We show that models trained in this minimalist way follow predictable scaling trends and even outperform standard cosine learning rate schedules. Cooldown phases can be re-purposed to improve downstream performance, e.g., enabling accurate multi-step rollouts over longer forecast horizons as well as sharper predictions through spectral loss adjustments. We also systematically explore a wide range of model and dataset sizes under various compute budgets to construct IsoFLOP curves, and we identify compute-optimal training regimes. Extrapolating these trends to larger scales highlights potential performance limits, demonstrating that neural scaling can serve as an important diagnostic for efficient resource allocation. We open-source our code for reproducibility.
format Preprint
id arxiv_https___arxiv_org_abs_2603_25687
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On Neural Scaling Laws for Weather Emulation through Continual Training
Subramanian, Shashank
Kiefer, Alexander
Nigmetov, Arnur
Gholami, Amir
Morozov, Dmitriy
Mahoney, Michael W.
Machine Learning
Neural scaling laws, which in some domains can predict the performance of large neural networks as a function of model, data, and compute scale, are the cornerstone of building foundation models in Natural Language Processing and Computer Vision. We study neural scaling in Scientific Machine Learning, focusing on models for weather forecasting. To analyze scaling behavior in as simple a setting as possible, we adopt a minimal, scalable, general-purpose Swin Transformer architecture, and we use continual training with constant learning rates and periodic cooldowns as an efficient training strategy. We show that models trained in this minimalist way follow predictable scaling trends and even outperform standard cosine learning rate schedules. Cooldown phases can be re-purposed to improve downstream performance, e.g., enabling accurate multi-step rollouts over longer forecast horizons as well as sharper predictions through spectral loss adjustments. We also systematically explore a wide range of model and dataset sizes under various compute budgets to construct IsoFLOP curves, and we identify compute-optimal training regimes. Extrapolating these trends to larger scales highlights potential performance limits, demonstrating that neural scaling can serve as an important diagnostic for efficient resource allocation. We open-source our code for reproducibility.
title On Neural Scaling Laws for Weather Emulation through Continual Training
topic Machine Learning
url https://arxiv.org/abs/2603.25687