From 299a6e213eaafedb6a9214ba12936458f2e7af15 Mon Sep 17 00:00:00 2001 From: Samuel Burbulla Date: Fri, 19 Apr 2024 10:36:49 +0200 Subject: [PATCH] Update NS results. --- README.md | 5 ++--- benchmarks/navierstokes/results.txt | 15 +++++++++++++++ docs/benchmarks/img/ns.png | Bin 0 -> 137866 bytes docs/benchmarks/index.md | 14 +++++++++++--- 4 files changed, 28 insertions(+), 6 deletions(-) create mode 100644 docs/benchmarks/img/ns.png diff --git a/README.md b/README.md index a34bd52e..a94928dc 100644 --- a/README.md +++ b/README.md @@ -43,9 +43,8 @@ For more details, see
-navierstokes
-Fourier Neural Operator (FNO) for Navier-Stokes flow.
-Ground truth vs. prediction. +navierstokes
+Fourier Neural Operator (FNO) for Navier-Stokes flow
diff --git a/benchmarks/navierstokes/results.txt b/benchmarks/navierstokes/results.txt index 09d56f3c..9fa4d1e4 100644 --- a/benchmarks/navierstokes/results.txt +++ b/benchmarks/navierstokes/results.txt @@ -1,3 +1,7 @@ + +Depth 4 (201M parameters) +========================= + rel. error train = 4.9422e-03 min loss = 2.3351e-03 at index 587 max loss = 1.0090e-02 at index 648 @@ -5,6 +9,17 @@ rel. error test = 1.8622e-01 min loss = 1.0219e-01 at index 144 max loss = 4.4294e-01 at index 179 + +Depth 16 (805M parameters) +========================== + +rel. error train = 1.8400e-04 +min loss = 1.0007e-04 at index 2 +max loss = 4.5649e-04 at index 707 +rel. error test = 1.4862e-01 +min loss = 7.2528e-02 at index 59 +max loss = 4.2331e-01 at index 179 + -- Reference: _Li, Zongyi, et al. 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"Fourier neural operator for parametric partial -differential equations." arXiv preprint arXiv:2010.08895 (2020)_ _Table 1 ($\nu$ = 1e−5 T=20 N=1000)_ +differential equations." arXiv preprint [arXiv:2010.08895](https://arxiv.org/abs/2010.08895) (2020)_ +_Table 1_ ($\nu$ = 1e−5 T=20 N=1000) _reported for_ FNO-3D: __0.1893__ (rel. test error) -[FourierNeuralOperator](../api/continuiti/operators/#continuiti.operators.FourierNeuralOperator): -0.0185 (rel. train error) __0.1841__ (rel. test error) +[FourierNeuralOperator](../api/continuiti/operators/#continuiti.operators.FourierNeuralOperator) +| Depth | Parameters | Training Time (V100) | rel. train error | rel. test error | +|-------|------------|----------------------|------------------|-----------------| +| 4 | 201M | 91min | 4.94e-03 | __0.1862__ | +| 16 | 805M | 181min | 1.84e-04 | 0.1486 | + +

{% include 'benchmarks/tables.html' %}