الملخص
Many latent neural operators represent input and output fields in a stationary latent chart. In particular, common latent routing mechanisms use fixed or shared assignment weights for feature projection and reconstruction, limiting their ability to model transport-dominated systems where coherent structures move relative to fixed coordinate frames. We propose Advectra, a transport-aware latent operator that introduces a regularized kinematic coordinate map to decouple source and target coordinate systems. This yields an approximately co-moving latent reference frame and enables asymmetric feature aggregation and reconstruction. Combined with a geometry-aware ordering mechanism for state-space models, Advectra captures advective dynamics while maintaining stable global interactions. Advectra achieves the best performance among evaluated geometry-constrained and form-free baselines on advection-dominated benchmarks, including passive scalar transport in Navier--Stokes flows and Rayleigh--Taylor instability, while demonstrating strong generalization on real-world engineering tasks. These results highlight the benefit of explicit moving-frame structure in neural operators for non-stationary physics.
الكلمات المفتاحية
الموضوع
بيانات النشر
- المجلة
- غير متاح
- وصول مفتوح
- وصول مفتوح أخضر
اقتبس هذه المقالة
APA 7
Koren, N., Hofmann, T., & Kissas, G. (2026). Advectra: Asymmetric Latent Transport for Non-Stationary Physics. https://omanscience.com/ar/articles/advectra-asymmetric-latent-transport-for-non-stationary-physics
MLA 9
Koren, Nodens, et al. "Advectra: Asymmetric Latent Transport for Non-Stationary Physics." https://omanscience.com/ar/articles/advectra-asymmetric-latent-transport-for-non-stationary-physics.
شيكاغو (المؤلف–التاريخ)
Koren, Nodens, Thomas Hofmann, and Georgios Kissas. 2026. "Advectra: Asymmetric Latent Transport for Non-Stationary Physics." https://omanscience.com/ar/articles/advectra-asymmetric-latent-transport-for-non-stationary-physics.
هارفارد
Koren, N., Hofmann, T. and Kissas, G. (2026) 'Advectra: Asymmetric Latent Transport for Non-Stationary Physics', Available at: https://omanscience.com/ar/articles/advectra-asymmetric-latent-transport-for-non-stationary-physics.
فانكوفر
Koren N, Hofmann T, Kissas G. Advectra: Asymmetric Latent Transport for Non-Stationary Physics. https://omanscience.com/ar/articles/advectra-asymmetric-latent-transport-for-non-stationary-physics
IEEE
N. Koren, T. Hofmann, and G. Kissas, "Advectra: Asymmetric Latent Transport for Non-Stationary Physics," https://omanscience.com/ar/articles/advectra-asymmetric-latent-transport-for-non-stationary-physics.