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流场重建:由稀疏传感器通过高斯原语
Huaxi Huang, · 2026-05-20 · via cs.LG updates on arXiv.org

观PDF HTML(实验性)

摘要:自稀疏表置传感器复现连流场者,乃气动设计、流控及数偶器之要义。今有神经之法于此,多将传感之读入隐潜码,然其空域难解,于表观能力应随观测数增之理,亦无明则。受三维高斯泼溅之启,吾辈创FLUIDSPLAT,此乃传感调之模,预K个各向异性高斯素,成一体分之架,为流之空域显明可解之中介。于理想高斯素估量,吾辈证场之Sobolev平滑s者,其近率乃O(K^{-s/d});纳N个噪观,得方差分解,偏O(K^{-2s/d}),变O(σ^{2}K/N)。衡此二者,得K^{*}~(N/σ^{2})^{d/(2s+d)}:素数不可无度增于稀疏传感,显变之隘,遂启以态调之残差解码,补架之不足。于四项基准,涉二维三维,FLUIDSPLAT于圆柱流、AirfRANS、FlowBench LDC-3D、PhySense-Car 3D,较诸强基线,减误11-28%。
評論: 二十四頁,五圖,預印本
主題: 機器學習(cs.LG);人工智能(cs.AI)
引用格式: arXiv:2605.18866 [cs.LG]
  (或 arXiv:2605.18866v2 [cs.LG]
  https://doi.org/10.48550/arXiv.2605.18866

arXiv所颁DOI经DataCite核发

投稿沿革

自:黄华西 [阅函]
[初稿] 周五,西元二零二六年五月十五日巳时三刻二分(一,零五一KB)
[修订稿] 周二,西元二零二六年五月二十六日巳时四刻十二分(四,八零六KB)