论文研究
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@Remi Dingreville
超越压缩:为神经代理求解器的稳定长时 rollout 训练潜表示
论文研究潜空间神经代理求解器(潜动力学模型)在长时自回归 rollout 中误差快速累积的问题,表明不稳定并非源于潜表示本身,而是仅按重建目标训练导致表示不适合长时预测。作者系统评估了使潜表示对齐长时 rollout 的训练层干预:用 Koopman 算子学习与自编码器训练中的汉明噪声注入改善压缩,用噪声注入与多步 rollout 微调改善动力学;并指出提升长时稳定性的干预往往会降低常规重建指标。
AI推荐理由 指出潜空间神经代理求解器长时自回归 rollout 误差累积的根源并非潜表示本身,而是仅以重建目标训练所致,并系统评估 Koopman 算子学习、汉明噪声注入、多步 rollout 微调等训练层干预。对科学计算与代理模型有参考价值,但摘要未给出具体误差或加速量化结果,且指出改善长时稳定性常以牺牲常规重建指标为代价。
60
正文
Computer Science > Machine Learning
arXiv:2609.30198v1 (cs)
[Submitted on 24 Sep 2026]
Title:Beyond Compression: Training Latent Representations for Stable Long-Horizon Rollout in Neural Surrogate Solvers
Authors:Andreas E. Robertson, Ashley T. Lenau, John D. Shimanek, Benjamin A. Jasperson, Vivek Oommen, David L. Damm, Krishna Garikipati, Remi Dingreville
View a PDF of the paper titled Beyond Compression: Training Latent Representations for Stable Long-Horizon Rollout in Neural Surrogate Solvers, by Andreas E. Robertson and 7 other authors
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Abstract:Latent neural surrogate solvers, or latent dynamics models, accelerate simulations of time-dependent physical systems by evolving a compressed latent space rather than resolving full-resolution fields directly. In principle this reduces computational cost and simplifies learning, but in practice errors often accumulate rapidly during long autoregressive rollouts, limiting predictive utility. We show that this instability does not stem from the latent representation itself, but arises when it is trained solely for reconstruction, producing representations poorly suited to long-horizon forecasting. We systematically evaluate training-level interventions that align latent representations with long-horizon rollout: Koopman operator learning and Hamming noise injection during autoencoder training to improve compression, together with noise injection and multi-step rollout fine-tuning to improve dynamics. Interventions that improve long-horizon rollout stability often degrade conventional training metrics, including reconstruction and one-step prediction accuracy. Collectively, these interventions reduce long-rollout error by approximately 40\% and match or exceed the accuracy of full-resolution models on two physics benchmarks, while requiring 2 orders of magnitude fewer floating point operations and half the GPU memory. Applied to mesoscale crystal-plasticity simulations of high-cycle fatigue, the resulting surrogate achieves stable extrapolation over horizons orders of magnitude beyond those observed during training. More broadly, these results show that neural compression should be designed not merely to reduce dimensionality, but to restructure the solution space for stable dynamical evolution, a key requirement for reliable, efficient neural surrogates in scientific applications.
Subjects:
Machine Learning (cs.LG); Materials Science (cond-mat.mtrl-sci); Computational Engineering, Finance, and Science (cs.CE)
Cite as:
arXiv:2609.30198 [cs.LG]
(or
arXiv:2609.30198v1 [cs.LG] for this version)
https://doi.org/10.48550/arXiv.2609.30198
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arXiv-issued DOI via DataCite (pending registration)
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From: Remi Dingreville [view email]
[v1]
Thu, 24 Sep 2026 17:36:46 UTC (10,376 KB)
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