Optical Flow Models
Model Checkpoints
The pretrained models can be downloaded by following the instructions in the official repositories RAFT and GMFlow
The links for the finetuned models are given below. Each link contains the C+B, C+T+B and C+T+S+B model checkpoints respectively.
Model Benchmarks
Pool Boiling Saturated
  
    
      | Model | 
      Method | 
      Chairs (Val) | 
      Things (Val) | 
      Sintel (Train) - Clean | 
      Sintel (Train) - Final | 
      KITTI (Train) - F1-EPE | 
      KITTI (Train) - F1-all | 
      Boiling (Test) | 
    
  
  
    
      | C | 
      RAFT | 
      0.82 | 
      9.03 | 
      2.19 | 
      4.49 | 
      9.83 | 
      37.57 | 
      4.20 | 
    
    
      | C | 
      GMFlow | 
      0.92 | 
      10.23 | 
      3.22 | 
      4.43 | 
      17.82 | 
      56.14 | 
      4.73 | 
    
    
      | C+B | 
      RAFT | 
      0.91 | 
      11.22 | 
      2.55 | 
      5.16 | 
      13.7 | 
      44.44 | 
      2.33 | 
    
    
      | C+B | 
      GMFlow | 
      1.31 | 
      11.99 | 
      3.78 | 
      5.12 | 
      21.91 | 
      63.04 | 
      2.36 | 
    
    
      | C+T | 
      RAFT | 
      1.15 | 
      4.39 | 
      1.40 | 
      2.71 | 
      5.02 | 
      17.46 | 
      4.72 | 
    
    
      | C+T | 
      GMFlow | 
      1.26 | 
      3.48 | 
      1.50 | 
      2.96 | 
      11.60 | 
      35.62 | 
      7.98 | 
    
    
      | C+T+B | 
      RAFT | 
      1.28 | 
      7.69 | 
      1.69 | 
      2.95 | 
      9.96 | 
      23.61 | 
      2.38 | 
    
    
      | C+T+B | 
      GMFlow | 
      1.39 | 
      3.88 | 
      1.61 | 
      2.91 | 
      14.49 | 
      43.09 | 
      2.51 | 
    
    
      | C+T+S | 
      RAFT | 
      1.21 | 
      4.69 | 
      0.77 | 
      1.22 | 
      1.54 | 
      5.64 | 
      8.39 | 
    
    
      | C+T+S | 
      GMFlow | 
      1.53 | 
      4.09 | 
      0.95 | 
      1.28 | 
      3.04 | 
      13.61 | 
      14.65 | 
    
    
      | C+T+S+B | 
      RAFT | 
      1.37 | 
      6.59 | 
      0.89 | 
      1.60 | 
      1.83 | 
      6.44 | 
      2.34 | 
    
    
      | C+T+S+B | 
      GMFlow | 
      1.65 | 
      4.49 | 
      1.07 | 
      1.45 | 
      4.06 | 
      18.99 | 
      2.56 | 
    
  
Pool Boiling SubCooled
  
    
      | Model | 
      Method | 
      Chairs(Val) | 
      Things(Val) | 
      Sintel(Train) - Clean | 
      Sintel(Train) - Final | 
      KITTI(Train) - F1-EPE | 
      KITTI(Train) - F1-all | 
      Boiling(Test) | 
    
  
  
    
      | C | 
      RAFT | 
      0.82 | 
      9.03 | 
      2.19 | 
      4.49 | 
      9.83 | 
      37.57 | 
      2.41 | 
    
    
      | C | 
      GMFlow | 
      0.92 | 
      10.23 | 
      3.22 | 
      4.43 | 
      17.82 | 
      56.14 | 
      1.92 | 
    
    
      | C+B | 
      RAFT | 
      0.89 | 
      11.64 | 
      2.58 | 
      5.17 | 
      14.01 | 
      47.53 | 
      0.63 | 
    
    
      | C+B | 
      GMFlow | 
      1.34 | 
      12.23 | 
      3.93 | 
      5.27 | 
      22.83 | 
      64.41 | 
      0.63 | 
    
    
      | C+T | 
      RAFT | 
      1.15 | 
      4.39 | 
      1.40 | 
      2.71 | 
      5.02 | 
      17.46 | 
      1.91 | 
    
    
      | C+T | 
      GMFlow | 
      1.26 | 
      3.48 | 
      1.50 | 
      2.96 | 
      11.60 | 
      35.62 | 
      4.76 | 
    
    
      | C+T+B | 
      RAFT | 
      1.24 | 
      6.45 | 
      1.54 | 
      2.82 | 
      7.35 | 
      20.27 | 
      0.70 | 
    
    
      | C+T+B | 
      GMFlow | 
      1.46 | 
      4.04 | 
      1.66 | 
      3.11 | 
      14.50 | 
      44.35 | 
      0.67 | 
    
    
      | C+T+S | 
      RAFT | 
      1.21 | 
      4.69 | 
      0.77 | 
      1.22 | 
      1.54 | 
      5.64 | 
      6.07 | 
    
    
      | C+T+S | 
      GMFlow | 
      1.53 | 
      4.09 | 
      0.95 | 
      1.28 | 
      3.04 | 
      13.61 | 
      9.21 | 
    
    
      | C+T+S+B | 
      RAFT | 
      1.35 | 
      6.49 | 
      0.87 | 
      1.48 | 
      1.79 | 
      6.31 | 
      0.64 | 
    
    
      | C+T+S+B | 
      GMFlow | 
      1.66 | 
      4.43 | 
      1.04 | 
      1.42 | 
      3.99 | 
      18.83 | 
      0.65 | 
    
  
Pool Boiling Gravity
  
    
      | Model | 
      Method | 
      Chairs(Val) | 
      Things(Val) | 
      Sintel(Train) - Clean | 
      Sintel(Train) - Final | 
      KITTI(Train) - F1-EPE | 
      KITTI(Train) - F1-all | 
      Boiling(Test) | 
    
  
  
    
      | C | 
      RAFT | 
      0.82 | 
      9.03 | 
      2.19 | 
      4.49 | 
      9.83 | 
      37.57 | 
      3.30 | 
    
    
      | C | 
      GMFlow | 
      0.92 | 
      10.23 | 
      3.22 | 
      4.43 | 
      17.82 | 
      56.14 | 
      2.40 | 
    
    
      | C+B | 
      RAFT | 
      0.95 | 
      10.98 | 
      2.78 | 
      5.76 | 
      15.52 | 
      49.88 | 
      0.90 | 
    
    
      | C+B | 
      GMFlow | 
      1.42 | 
      12.57 | 
      4.06 | 
      5.41 | 
      23.61 | 
      66.38 | 
      0.90 | 
    
    
      | C+T | 
      RAFT | 
      1.15 | 
      4.39 | 
      1.40 | 
      2.71 | 
      5.02 | 
      17.46 | 
      2.75 | 
    
    
      | C+T | 
      GMFlow | 
      1.26 | 
      3.48 | 
      1.50 | 
      2.96 | 
      11.60 | 
      35.62 | 
      3.60 | 
    
    
      | C+T+B | 
      RAFT | 
      1.31 | 
      6.65 | 
      1.64 | 
      2.93 | 
      8.39 | 
      21.36 | 
      0.96 | 
    
    
      | C+T+B | 
      GMFlow | 
      1.41 | 
      3.95 | 
      1.64 | 
      2.97 | 
      44.07 | 
      14.41 | 
      0.97 | 
    
    
      | C+T+S | 
      RAFT | 
      1.21 | 
      4.69 | 
      0.77 | 
      1.22 | 
      1.54 | 
      5.64 | 
      4.74 | 
    
    
      | C+T+S | 
      GMFlow | 
      1.53 | 
      4.09 | 
      0.95 | 
      1.28 | 
      3.04 | 
      13.61 | 
      5.49 | 
    
    
      | C+T+S+B | 
      RAFT | 
      1.35 | 
      6.44 | 
      0.90 | 
      1.49 | 
      1.81 | 
      6.27 | 
      0.92 | 
    
    
      | C+T+S+B | 
      GMFlow | 
      1.63 | 
      4.43 | 
      1.03 | 
      1.40 | 
      4.29 | 
      20.93 | 
      0.92 | 
    
  
Flow Boiling Inlet Velocity
  
    
      | Model | 
      Method | 
      Chairs(Val) | 
      Things(Val) | 
      Sintel(Train) - Clean | 
      Sintel(Train) - Final | 
      KITTI(Train) - F1-EPE | 
      KITTI(Train) - F1-all | 
      Boiling(Test) | 
    
  
  
    
      | C | 
      RAFT | 
      0.82 | 
      9.03 | 
      2.19 | 
      4.49 | 
      9.83 | 
      37.57 | 
      16.01 | 
    
    
      | C | 
      GMFlow | 
      0.92 | 
      10.23 | 
      3.22 | 
      4.43 | 
      17.82 | 
      56.14 | 
      21.44 | 
    
    
      | C+B | 
      RAFT | 
      1.21 | 
      14.99 | 
      3.62 | 
      6.78 | 
      22.07 | 
      60.64 | 
      10.13 | 
    
    
      | C+B | 
      GMFlow | 
      1.50 | 
      13.96 | 
      4.52 | 
      5.89 | 
      23.45 | 
      65.96 | 
      7.01 | 
    
    
      | C+T | 
      RAFT | 
      1.15 | 
      4.39 | 
      1.40 | 
      2.71 | 
      5.02 | 
      17.46 | 
      25.14 | 
    
    
      | C+T | 
      GMFlow | 
      1.26 | 
      3.48 | 
      1.50 | 
      2.96 | 
      11.60 | 
      35.62 | 
      19.39 | 
    
    
      | C+T+B | 
      RAFT | 
      1.62 | 
      9.09 | 
      2.19 | 
      3.77 | 
      13.81 | 
      32.13 | 
      9.19 | 
    
    
      | C+T+B | 
      GMFlow | 
      1.45 | 
      4.15 | 
      1.78 | 
      3.05 | 
      15.74 | 
      48.34 | 
      7.24 | 
    
    
      | C+T+S | 
      RAFT | 
      1.21 | 
      4.69 | 
      0.77 | 
      1.22 | 
      1.54 | 
      5.64 | 
      21.23 | 
    
    
      | C+T+S | 
      GMFlow | 
      1.53 | 
      4.09 | 
      0.95 | 
      1.28 | 
      3.04 | 
      13.61 | 
      47.88 | 
    
    
      | C+T+S+B | 
      RAFT | 
      2.18 | 
      9.32 | 
      1.54 | 
      2.90 | 
      2.57 | 
      10.93 | 
      9.68 | 
    
    
      | C+T+S+B | 
      GMFlow | 
      1.72 | 
      4.80 | 
      1.18 | 
      1.65 | 
      4.69 | 
      24.56 | 
      6.88 | 
    
  
Flow Boiling Gravity
  
    
      | Model | 
      Method | 
      Chairs(Val) | 
      Things(Val) | 
      Sintel(Train) - Clean | 
      Sintel(Train) - Final | 
      KITTI(Train) - F1-EPE | 
      KITTI(Train) - F1-all | 
      Boiling(Test) | 
    
  
  
    
      | C | 
      RAFT | 
      0.82 | 
      9.03 | 
      2.19 | 
      4.49 | 
      9.83 | 
      37.57 | 
      20.42 | 
    
    
      | C | 
      GMFlow | 
      0.92 | 
      10.23 | 
      3.22 | 
      4.43 | 
      17.82 | 
      56.14 | 
      14.05 | 
    
    
      | C+B | 
      RAFT | 
      1.14 | 
      12.65 | 
      3.30 | 
      6.13 | 
      17.94 | 
      53.76 | 
      4.45 | 
    
    
      | C+B | 
      GMFlow | 
      1.30 | 
      13.02 | 
      4.05 | 
      5.41 | 
      23.17 | 
      65.33 | 
      4.24 | 
    
    
      | C+T | 
      RAFT | 
      1.15 | 
      4.39 | 
      1.40 | 
      2.71 | 
      5.02 | 
      17.46 | 
      21.04 | 
    
    
      | C+T | 
      GMFlow | 
      1.26 | 
      3.48 | 
      1.50 | 
      2.96 | 
      11.60 | 
      35.62 | 
      13.37 | 
    
    
      | C+T+B | 
      RAFT | 
      1.41 | 
      6.85 | 
      1.97 | 
      3.89 | 
      10.96 | 
      27.82 | 
      4.24 | 
    
    
      | C+T+B | 
      GMFlow | 
      1.37 | 
      3.89 | 
      1.71 | 
      3.05 | 
      14.29 | 
      45.03 | 
      3.94 | 
    
    
      | C+T+S | 
      RAFT | 
      1.21 | 
      4.69 | 
      0.77 | 
      1.22 | 
      1.54 | 
      5.64 | 
      21.04 | 
    
    
      | C+T+S | 
      GMFlow | 
      1.53 | 
      4.09 | 
      0.95 | 
      1.28 | 
      3.04 | 
      13.61 | 
      22.84 | 
    
    
      | C+T+S+B | 
      RAFT | 
      1.59 | 
      7.29 | 
      1.13 | 
      2.14 | 
      2.22 | 
      9.34 | 
      4.12 | 
    
    
      | C+T+S+B | 
      GMFlow | 
      1.62 | 
      4.42 | 
      1.04 | 
      1.43 | 
      3.86 | 
      17.76 | 
      3.93 | 
    
  
SciML Models
Model Checkpoints
The model checkpoints are organized based on the dataset they were trained on. All model weights are included in
the .tar.gz.
Model Benchmarks
Pool Boiling Subcooled
  
    
      |   | 
      UNet-bench | 
      UNet-mod | 
      FNO | 
      UNO | 
      FFNO | 
      GFNO | 
    
  
  
    
      | Rel. Err. | 
      0.036 | 
      0.051 | 
      0.052 | 
      0.062 | 
      0.050 | 
      0.071 | 
    
    
      | RMSE | 
      0.035 | 
      0.049 | 
      0.050 | 
      0.059 | 
      0.048 | 
      0.068 | 
    
    
      | BRMSE | 
      0.073 | 
      0.146 | 
      0.118 | 
      0.145 | 
      0.124 | 
      0.209 | 
    
    
      | IRMSE | 
      0.113 | 
      0.157 | 
      0.189 | 
      0.220 | 
      0.155 | 
      0.290 | 
    
    
      | Max Err. | 
      2.1 | 
      1.937 | 
      2.32 | 
      2.659 | 
      2.21 | 
      2.882 | 
    
    
      | F. Low | 
      0.281 | 
      0.348 | 
      0.373 | 
      0.440 | 
      0.472 | 
      0.557 | 
    
    
      | F. Mid | 
      0.266 | 
      0.386 | 
      0.390 | 
      0.453 | 
      0.375 | 
      0.547 | 
    
    
      | F. High | 
      0.040 | 
      0.059 | 
      0.055 | 
      0.068 | 
      0.057 | 
      0.090 | 
    
  
Pool Boiling Saturated
  
    
      |   | 
      UNet-bench | 
      UNet-mod | 
      FNO | 
      UNO | 
      FFNO | 
      GFNO | 
    
  
  
    
      | Rel. Err. | 
      0.035 | 
      0.039 | 
      0.052 | 
      0.072 | 
      0.053 | 
      0.066 | 
    
    
      | RMSE | 
      0.035 | 
      0.039 | 
      0.052 | 
      0.071 | 
      0.052 | 
      0.065 | 
    
    
      | BRMSE | 
      0.082 | 
      0.147 | 
      0.165 | 
      0.214 | 
      0.163 | 
      0.218 | 
    
    
      | IRMSE | 
      0.052 | 
      0.083 | 
      0.125 | 
      0.116 | 
      0.095 | 
      0.152 | 
    
    
      | Max Err. | 
      1.701 | 
      1.785 | 
      2.055 | 
      2.23 | 
      1.788 | 
      1.793 | 
    
    
      | F. Low | 
      0.257 | 
      0.241 | 
      0.373 | 
      0.568 | 
      0.416 | 
      0.463 | 
    
    
      | F. Mid | 
      0.268 | 
      0.273 | 
      0.377 | 
      0.532 | 
      0.399 | 
      0.496 | 
    
    
      | F. High | 
      0.023 | 
      0.042 | 
      0.053 | 
      0.069 | 
      0.052 | 
      0.070 | 
    
  
Pool Boiling Gravity
  
    
      |   | 
      UNet-bench | 
      UNet-mod | 
      FNO | 
      UNO | 
      FFNO | 
      GFNO | 
    
  
  
    
      | Rel. Err. | 
      0.042 | 
      0.051 | 
      0.062 | 
      0.081 | 
      0.061 | 
      0.124 | 
    
    
      | RMSE | 
      0.040 | 
      0.049 | 
      0.062 | 
      0.077 | 
      0.058 | 
      0.118 | 
    
    
      | BRMSE | 
      0.070 | 
      0.139 | 
      0.150 | 
      0.184 | 
      0.131 | 
      0.642 | 
    
    
      | IRMSE | 
      0.108 | 
      0.201 | 
      0.266 | 
      0.335 | 
      0.239 | 
      0.424 | 
    
    
      | Max Err. | 
      2.92 | 
      2.846 | 
      3.626 | 
      3.667 | 
      3.22 | 
      4.0 | 
    
    
      | F. Low | 
      0.491 | 
      0.466 | 
      0.500 | 
      0.746 | 
      0.578 | 
      1.095 | 
    
    
      | F. Mid | 
      0.275 | 
      0.326 | 
      0.440 | 
      0.548 | 
      0.423 | 
      0.760 | 
    
    
      | F. High | 
      0.033 | 
      0.049 | 
      0.054 | 
      0.077 | 
      0.049 | 
      0.171 | 
    
  
Flow Boiling Gravity
  
    
      |   | 
      UNet-bench | 
      UNet-mod | 
      FNO | 
      UNO | 
    
  
  
    
      | Rel. Err. | 
      0.055 | 
      0.095 | 
      0.134 | 
      0.157 | 
    
    
      | RMSE | 
      0.051 | 
      0.088 | 
      0.123 | 
      0.144 | 
    
    
      | BRMSE | 
      0.080 | 
      0.240 | 
      0.267 | 
      0.301 | 
    
    
      | IRMSE | 
      0.091 | 
      0.214 | 
      0.351 | 
      0.379 | 
    
    
      | Max Err. | 
      2.560 | 
      2.800 | 
      3.951 | 
      3.990 | 
    
    
      | F. Low | 
      0.263 | 
      0.388 | 
      0.591 | 
      0.602 | 
    
    
      | F. Mid | 
      0.281 | 
      0.419 | 
      0.551 | 
      0.692 | 
    
    
      | F. High | 
      0.149 | 
      0.276 | 
      0.389 | 
      0.449 | 
    
  
Flow Boiling Inlet Velocity
  
    
      |   | 
      UNet-bench | 
      UNet-mod | 
      FNO | 
      UNO | 
    
  
  
    
      | Rel. Err. | 
      0.106 | 
      0.122 | 
      0.202 | 
      0.225 | 
    
    
      | RMSE | 
      0.097 | 
      0.111 | 
      0.184 | 
      0.205 | 
    
    
      | BRMSE | 
      0.271 | 
      0.315 | 
      0.486 | 
      0.471 | 
    
    
      | IRMSE | 
      0.178 | 
      0.193 | 
      0.252 | 
      0.319 | 
    
    
      | Max Err. | 
      2.900 | 
      2.862 | 
      3.527 | 
      3.992 | 
    
    
      | F. Low | 
      0.571 | 
      0.584 | 
      1.061 | 
      0.981 | 
    
    
      | F. Mid | 
      0.511 | 
      0.566 | 
      1.084 | 
      1.334 | 
    
    
      | F. High | 
      0.264 | 
      0.315 | 
      0.494 | 
      0.523 | 
    
  
Velocity + Temp: Pool Boiling Subcooled
  
    
      |   | 
      Metric | 
      UNet-bench | 
      UNet-mod | 
      P-UNet-mod | 
      FNO | 
      UNO | 
      FFNO | 
    
  
  
    
      | Temp. | 
      Rel. Err. | 
      0.106 | 
      0.074 | 
      0.040 | 
      0.066 | 
      0.322 | 
      0.067 | 
    
    
      |   | 
      RMSE | 
      0.097 | 
      0.072 | 
      0.039 | 
      0.064 | 
      0.051 | 
      0.065 | 
    
    
      |   | 
      BRMSE | 
      0.271 | 
      0.211 | 
      0.113 | 
      0.142 | 
      0.050 | 
      0.237 | 
    
    
      |   | 
      IRMSE | 
      0.178 | 
      0.191 | 
      0.129 | 
      0.212 | 
      0.077 | 
      0.201 | 
    
    
      |   | 
      Max Err. | 
      2.83 | 
      2.340 | 
      2.741 | 
      2.566 | 
      7.492 | 
      2.488 | 
    
    
      |   | 
      F. Low | 
      1.407 | 
      0.495 | 
      0.244 | 
      0.531 | 
      4.902 | 
      0.498 | 
    
    
      |   | 
      F. Mid | 
      0.740 | 
      0.583 | 
      0.280 | 
      0.518 | 
      1.594 | 
      0.507 | 
    
    
      |   | 
      F. High | 
      0.090 | 
      0.076 | 
      0.051 | 
      0.061 | 
      0.442 | 
      0.083 | 
    
    
      | $x$ Vel. | 
      Rel. Err. | 
      0.681 | 
      0.553 | 
      0.429 | 
      0.642 | 
      1.834 | 
      0.547 | 
    
    
      |   | 
      RMSE | 
      0.021 | 
      0.015 | 
      0.012 | 
      0.018 | 
      0.051 | 
      0.015 | 
    
    
      |   | 
      BRMSE | 
      0.023 | 
      0.023 | 
      0.022 | 
      0.023 | 
      0.050 | 
      0.024 | 
    
    
      |   | 
      IRMSE | 
      0.051 | 
      0.049 | 
      0.043 | 
      0.049 | 
      0.077 | 
      0.050 | 
    
    
      |   | 
      Max Err. | 
      0.294 | 
      0.320 | 
      0.353 | 
      0.32 | 
      0.574 | 
      0.334 | 
    
    
      |   | 
      F. Low | 
      0.329 | 
      0.225 | 
      0.142 | 
      0.258 | 
      0.677 | 
      0.189 | 
    
    
      |   | 
      F. Mid | 
      0.115 | 
      0.105 | 
      0.079 | 
      0.110 | 
      0.328 | 
      0.107 | 
    
    
      |   | 
      F. High | 
      0.012 | 
      0.012 | 
      0.011 | 
      0.012 | 
      0.092 | 
      0.012 | 
    
    
      | $y$ Vel. | 
      Rel. Err. | 
      0.563 | 
      0.400 | 
      0.311 | 
      0.415 | 
      1.170 | 
      0.397 | 
    
    
      |   | 
      RMSE | 
      0.021 | 
      0.015 | 
      0.012 | 
      0.016 | 
      0.044 | 
      0.015 | 
    
    
      |   | 
      BRMSE | 
      0.015 | 
      0.012 | 
      0.010 | 
      0.011 | 
      0.035 | 
      0.013 | 
    
    
      |   | 
      IRMSE | 
      0.046 | 
      0.046 | 
      0.038 | 
      0.045 | 
      0.066 | 
      0.047 | 
    
    
      |   | 
      Max Err. | 
      0.292 | 
      0.272 | 
      0.280 | 
      0.290 | 
      0.288 | 
      0.289 | 
    
    
      |   | 
      F. Low | 
      0.387 | 
      0.190 | 
      0.132 | 
      0.180 | 
      0.660 | 
      0.176 | 
    
    
      |   | 
      F. Mid | 
      0.128 | 
      0.112 | 
      0.085 | 
      0.111 | 
      0.240 | 
      0.106 | 
    
    
      |   | 
      F. High | 
      0.011 | 
      0.010 | 
      0.009 | 
      0.010 | 
      0.067 | 
      0.010 |