目錄

1150310 meeting

收尾工作 v1.0

本次實驗複測 Weather2K 、 NASA GES DISC MERRA-2 、 2b_8 資料集。

使用的資料集大小如下:

資料集變數數量已知地點batch_size未知地點訓練時間步未來時間步
Weather2K41,4921003741,17688
MERRA-21950100504,608144
2b_819,5002005009010

實驗設定

本次實驗使用設定如下:

config.yaml

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wavenet:
  # WaveNet model parameters
  input_channels:  1  # Number of input channels
  output_channels: 1  # Number of output channels
  residual_layers: 32  # Number of residual layers
  residual_channels: 64  # Number of channels in residual blocks
  skip_channels: 64  # Number of channels in skip connections

  # Diffusion step embedding dimensions
  diffusion_step_embed_dim_input:  128  # Input dimension
  diffusion_step_embed_dim_hidden: 256  # Middle dimension
  diffusion_step_embed_dim_output: 256  # Output dimension

  # Structured State Spaces sequence model (S4) configurations
  s4_max_sequence_length: 90  # Maximum sequence length
  s4_state_dim: 128  # State dimension
  s4_dropout: 0.2  # Dropout rate
  s4_bidirectional: true  # Whether to use bidirectional layers
  s4_use_layer_norm: true  # Whether to use layer normalization

diffusion:
  # Diffusion model parameters
  T: 100  # Number of diffusion steps
  beta_0: 0.0001  # Initial beta value
  beta_T: 0.01  # Final beta value

AFRK:
# AutoFRK model parameters, for more details, please refer to https://pypi.org/project/autoFRK/
  method: "fast"  # autoFRK method to use (e.g., "fast")
  tps_method: "rectangular"  # autoFRK's TPS method to use (e.g., "rectangular")

其中,依資料集不同,修改的部分為 input_channelsoutput_channelss4_max_sequence_length

在本次實驗中,所有資料集皆改為將訓練集直接填補未來幾期,經測試後發現可大幅提升填補的準確率。同時測試 s4_bidirectional 對填補的影響。針對 Weather2K 資料集,測試 s4_dropout 為 0.2 的情況;針對 MERRA-2 資料集,同時測試 s4_dropout 為 0.0 、 0.2 、 0.8 不同情況;針對 2b_8 資料集,測試 s4_dropout 為 0.0 的情況。

training.yaml 中,測試有無 enable_spatial_training(AFRK)的影響。

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# Training configuration
batch_size: 200  # Batch size
output_directory: "/home/u6025091/SSSD_CP/results/2b_8-fast-rectangular"  # Output directory for checkpoints and logs
ckpt_iter: "max"  # Checkpoint mode (max or min)
iters_per_ckpt: 500  # Checkpoint frequency (number of epochs)
iters_per_logging: 200  # Log frequency (number of iterations)
n_iters: 38000  # Maximum number of iterations
learning_rate: 0.0005  # Learning rate

# Additional training settings
only_generate_missing: true  # Generate missing values only
use_model: 2  # Model to use for training
masking: "forecast"  # Masking strategy for missing values
missing_k: 10  # Number of missing values

# Data paths
data:
  train_path: "/home/u6025091/SSSD_CP/datasets/2b_8/data_train_known_real.npy"  # Path to training data

# autoFRK config
enable_spatial_training: true  # Enable spatial training step
location_path: "/home/u6025091/SSSD_CP/datasets/2b_8/stations_known_locations.npy"  # Path to known locations

inference.yaml 中,測試 enable_spatial_normalization(SP)的影響。

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# Inference configuration
batch_size: 200  # Batch size for inference
output_directory: "/home/u6025091/SSSD_CP/results/2b_8-fast-rectangular/inference"  # Output directory for inference results
ckpt_path: "/home/u6025091/SSSD_CP/results/2b_8-fast-rectangular"  # Path to checkpoint for inference
trials: 1 # Replications

# Additional training settings
only_generate_missing: true  # Generate missing values only
use_model: 2  # Model to use for training
masking: "forecast"  # Masking strategy for missing values  # inference mode need to fix in the code, or using other masking strategy will be failed
missing_k: 10  # Number of missing values

# Data paths
data:
  test_path: "/home/u6025091/SSSD_CP/datasets/2b_8/data_train_known_real.npy"  # Path to test data

# autoFRK config
enable_spatial_inference: true  # Enable spatial prediction step
enable_spatial_normalization: false  # Enable spatial normalization before and after autoFRK
known_location_path: "/home/u6025091/SSSD_CP/datasets/2b_8/stations_known_locations.npy"  # Path to known locations
unknown_location_path: "/home/u6025091/SSSD_CP/datasets/2b_8/stations_unknown_locations.npy"  # Path to unknown locations

Weather2K

bidirectional-FRK-4000

  • 尚未完成實驗。

bidirectional-NoFRK-4000

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kbidirectionalNoFRK4000log.png

  • SP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE9.212197e+004.764740e+0010.8291058.104409e+0168.24614323.4313473.837021e+001.443116e-029.886081
    RMSPE3.035160e+002.182828e+003.2907619.002449e+008.2611224.8405941.958832e+001.201298e-013.144214
    MSPE%1.607277e+101.713991e+060.1782186.444603e+101.9650380.4053691.245300e+101.842249e+060.161220
    RMSPE%1.267784e+051.309195e+030.4221582.538622e+051.4017980.6366861.115930e+051.357295e+030.401522
    MAPE8.855900e-014.531534e-011.8572545.544696e+005.4347822.8915285.369495e-018.037850e-021.779859
    MAPE%4.245987e+082.953705e+070.0411801.013968e+090.1619590.0645853.804962e+083.174730e+070.039428

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kbidirectionalNoFRK4000SP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kbidirectionalNoFRK4000SP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kbidirectionalNoFRK4000SP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kbidirectionalNoFRK4000SP4.png

  • NoSP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE9.622670e+005.138295e+0013.5952368.215610e+0173.61091326.5862584.194998e+001.449347e-0212.623119
    RMSPE3.102043e+002.266781e+003.6871729.064000e+008.5796805.1561862.048169e+001.203888e-013.552903
    MSPE%1.585812e+102.447800e+060.2456266.400976e+102.1992720.4842401.225494e+102.630969e+060.227770
    RMSPE%1.259290e+051.564545e+030.4956062.530015e+051.4829940.6958741.107020e+051.622026e+030.477253
    MAPE9.472319e-014.569086e-012.3338315.602686e+005.4879683.3262265.988646e-018.043473e-022.259571
    MAPE%4.190081e+083.820500e+070.0554161.009678e+090.1639890.0772773.748083e+084.106387e+070.053780

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kbidirectionalNoFRK4000NoSP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kbidirectionalNoFRK4000NoSP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kbidirectionalNoFRK4000NoSP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kbidirectionalNoFRK4000NoSP4.png

Nobidirectional-FRK-4000

  • 尚未完成實驗。

Nobidirectional-NoFRK-4000

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kNobidirectionalNoFRK4000log.png

  • SP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE8.557305e+004.357313e+0010.7170237.167319e+0162.45332021.9912203.834348e+009.992905e-039.873375
    RMSPE2.925287e+002.087418e+003.2736868.466002e+007.9027414.6894801.958149e+009.996452e-023.142193
    MSPE%1.532682e+104.910454e+060.1754955.342669e+101.2433360.3675361.247581e+105.277903e+060.161125
    RMSPE%1.238015e+052.215954e+030.4189212.311421e+051.1150500.6062481.116952e+052.297369e+030.401403
    MAPE8.404920e-014.067417e-011.8477945.013504e+004.9590492.7743825.282258e-016.609286e-021.778458
    MAPE%4.162873e+085.306461e+070.0410329.481803e+080.1291750.0623753.764858e+085.703544e+070.039435

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kNobidirectionalNoFRK4000SP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kNobidirectionalNoFRK4000SP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kNobidirectionalNoFRK4000SP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kNobidirectionalNoFRK4000SP4.png

  • NoSP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE8.821512e+004.808902e+0013.0226497.165436e+0168.93553224.9624434.119734e+001.031077e-0212.129195
    RMSPE2.970103e+002.192921e+003.6086918.464890e+008.3027424.9962432.029713e+001.015420e-013.482699
    MSPE%1.546526e+104.921911e+060.2287555.539211e+101.3722580.4423061.247754e+105.290217e+060.212775
    RMSPE%1.243594e+052.218538e+030.4782832.353553e+051.1714340.6650611.117029e+052.300047e+030.461275
    MAPE8.856481e-014.269254e-012.2426335.031184e+005.2355533.1473375.754380e-016.709618e-022.174934
    MAPE%4.147628e+085.343217e+070.0525229.579761e+080.1365390.0736063.741141e+085.743049e+070.050944

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kNobidirectionalNoFRK4000NoSP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kNobidirectionalNoFRK4000NoSP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kNobidirectionalNoFRK4000NoSP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2kNobidirectionalNoFRK4000NoSP4.png

MERRA-2

bidirectional-FRK-4000

  • 尚未完成實驗。

bidirectional-NoFRK-4000

  • SP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE0.6311610.47720110.28010710.4916588.51334015.1525350.0662370.01679810.000957
    RMSPE0.7944560.6907983.2062613.2390832.9177633.8926260.2573650.1296063.162429
    MSPE%0.0022940.0017390.0352070.0383440.0310850.0546280.0002280.0000570.034095
    RMSPE%0.0478920.0416980.1876360.1958170.1763090.2337270.0151060.0075810.184648
    MAPE0.2517950.2328532.9060402.6351782.5436093.1552170.1152470.1004662.891764
    MAPE%0.0008970.0008270.0100180.0095950.0092630.0114080.0003990.0003440.009938

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRK4000SP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRK4000SP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRK4000SP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRK4000SP4.png

  • NoSP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE198236.0308040.3675093.879090e+06158755.3912176.4780623.110934e+06200497.9424470.0174253.923099e+06
    RMSPE445.2370500.6062251.969541e+03398.4412022.5452041.763784e+03447.7699660.1320031.980682e+03
    MSPE%688.4130890.0013361.351371e+04576.0700770.0236111.133382e+04694.8494080.0000601.363860e+04
    RMSPE%26.2376270.0365481.162485e+0224.0014600.1536571.064604e+0226.3599960.0077191.167844e+02
    MAPE80.2548710.2190461.583713e+0374.5528052.2500211.426400e+0380.5815520.1026881.592725e+03
    MAPE%0.2787210.0007765.517933e+000.2704910.0081895.196684e+000.2791920.0003515.536338e+00

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRK4000NoSP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRK4000NoSP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRK4000NoSP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRK4000NoSP4.png

bidirectional-NoFRK-dropout0.0-4000

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.04000log.png

  • SP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE0.6793630.23760710.46135911.3359084.04238322.4271000.0688320.0196259.775821
    RMSPE0.8242350.4874503.2344023.3668842.0105684.7357260.2623580.1400903.126631
    MSPE%0.0024580.0008550.0359120.0412180.0145860.0809380.0002380.0000680.033332
    RMSPE%0.0495830.0292330.1895040.2030210.1207710.2844960.0154230.0082390.182571
    MAPE0.2590260.1839832.9267542.6672721.5875484.1050720.1210540.1035702.859247
    MAPE%0.0009230.0006490.0101000.0096930.0057510.0148570.0004210.0003560.009828

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.04000SP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.04000SP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.04000SP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.04000SP4.png

  • NoSP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE272856.3762240.2280595.315017e+06242581.7329823.8657684.726952e+06274590.8609930.0196485.348708e+06
    RMSPE522.3565600.4775552.305432e+03492.5258701.9661562.174155e+03524.0141800.1401732.312727e+03
    MSPE%948.1535850.0008191.855650e+04880.9333180.0139361.728082e+04952.0047470.0000681.862959e+04
    RMSPE%30.7921030.0286261.362223e+0229.6805210.1180531.314565e+0230.8545740.0082441.364902e+02
    MAPE88.9366960.1814121.752376e+0388.6911911.5395711.702171e+0388.9507620.1036001.755252e+03
    MAPE%0.3090680.0006396.114465e+000.3219260.0055766.209867e+000.3083310.0003566.108999e+00

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.04000NoSP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.04000NoSP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.04000NoSP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.04000NoSP4.png

bidirectional-NoFRK-dropout0.8-4000

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.84000log.png

  • SP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE1.1249801.10642910.14622119.71069320.27005114.5583380.0601730.0085139.893443
    RMSPE1.0606511.0518693.1853134.4396734.5022273.8155390.2453020.0922683.145384
    MSPE%0.0041220.0040390.0348000.0724410.0740300.0534350.0002070.0000290.033733
    RMSPE%0.0641990.0635550.1865480.2691490.2720840.2311610.0144010.0054160.183664
    MAPE0.2810980.2878812.8945693.5841304.1102913.1826890.0918620.0688892.878062
    MAPE%0.0010100.0010350.0099870.0130900.0149780.0116380.0003180.0002370.009892

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.84000SP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.84000SP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.84000SP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.84000SP4.png

  • NoSP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE150574.4445721.9873532.942067e+06133335.66261036.5149282.609129e+06151562.0831220.0092112.961141e+06
    RMSPE388.0392311.4097351.715245e+03365.1515616.0427581.615280e+03389.3097520.0959741.720797e+03
    MSPE%522.9737300.0072461.025620e+04484.0799260.1331619.536985e+03525.2020210.0000321.029740e+04
    RMSPE%22.8686190.0851211.012729e+0222.0018160.3649129.765749e+0122.9172870.0056281.014761e+02
    MAPE68.1120530.3676121.342040e+0367.6307845.5162831.270001e+0368.1396260.0726361.346168e+03
    MAPE%0.2366180.0013244.678681e+000.2455120.0200844.633175e+000.2361090.0002494.681288e+00

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.84000NoSP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.84000NoSP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.84000NoSP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2bidirectionalNoFRKdropout0.84000NoSP4.png

Nobidirectional-FRK-4000

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalFRK4000log.png

  • SP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE0.9344411.1790189.58075716.31317121.7519748.1179710.0533680.0003599.664563
    RMSPE0.9666651.0858263.0952804.0389574.6639012.8492050.2310160.0189513.108788
    MSPE%0.0034250.0042990.0327670.0599990.0793210.0295890.0001840.0000010.032949
    RMSPE%0.0585230.0655690.1810170.2449470.2816390.1720150.0135560.0011170.181520
    MAPE0.2195040.2431072.8171063.2782754.2739472.4238570.0442620.0121742.839636
    MAPE%0.0007940.0008830.0097090.0119770.0155610.0088290.0001530.0000420.009760

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalFRK4000SP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalFRK4000SP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalFRK4000SP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalFRK4000SP4.png

  • NoSP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE182,103.44691.09573,553,594.0167,537.196720.21443,269,625.0182,937.97170.00043,569,864.0
    RMSPE426.73581.04681,885.0980409.31314.49601,808.2100427.71250.01971,889.4080
    MSPE%632.87480.004012,403.5000608.08130.073811,929.6600634.29530.000012,430.6400
    RMSPE%25.15700.0632111.371024.65930.2716109.223025.18520.0012111.4928
    MAPE78.42120.23401,546.888078.83244.09811,497.251078.39760.01261,549.7310
    MAPE%0.27250.00095.39680.28600.01495.45660.27170.00005.3934

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalFRK4000NoSP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalFRK4000NoSP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalFRK4000NoSP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalFRK4000NoSP4.png

Nobidirectional-NoFRK-4000

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK4000log.png

  • SP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE0.6515230.53532210.32641010.8144199.53504215.2135630.0692730.01971310.046417
    RMSPE0.8071690.7316573.2134733.2885283.0878863.9004570.2631980.1404033.169608
    MSPE%0.0023670.0019500.0353510.0395310.0348260.0548480.0002380.0000670.034234
    RMSPE%0.0486570.0441630.1880190.1988240.1866170.2341970.0154370.0081800.185025
    MAPE0.2603190.2508122.9069292.6714312.7604823.1558610.1221820.1070292.892667
    MAPE%0.0009260.0008900.0100190.0097260.0100570.0114100.0004220.0003650.009940

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK4000SP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK4000SP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK4000SP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK4000SP4.png

  • NoSP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE213455.2993090.4029674.175011e+06198345.9544547.0972873.881056e+06214320.9388580.0194384.191852e+06
    RMSPE462.0122290.6347972.043284e+03445.3604772.6640731.970040e+03462.9480950.1394202.047401e+03
    MSPE%741.0210850.0014651.454442e+04719.5884890.0258881.414078e+04742.2489940.0000661.456755e+04
    RMSPE%27.2217020.0382791.206003e+0226.8251470.1608991.189150e+0227.2442470.0081261.206961e+02
    MAPE81.8831670.2290401.614716e+0381.1739122.3665251.555511e+0381.9238010.1065801.618108e+03
    MAPE%0.2844390.0008105.628739e+000.2944780.0086185.665761e+000.2838640.0003635.626618e+00

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK4000NoSP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK4000NoSP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK4000NoSP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK4000NoSP4.png

Nobidirectional-NoFRK-10000

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK10000log.png

  • SP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE0.6354220.48475010.49674910.4970998.55203417.6945560.0704300.02256110.084375
    RMSPE0.7971340.6962403.2398693.2399232.9243864.2064900.2653870.1502053.175590
    MSPE%0.0023050.0017660.0359620.0383050.0312430.0637750.0002430.0000770.034369
    RMSPE%0.0480140.0420250.1896370.1957160.1767570.2525370.0155830.0087940.185388
    MAPE0.2606370.2496882.9069292.6165352.6045603.4495200.1256640.1147742.901471
    MAPE%0.0009260.0008860.0100190.0095190.0094900.0124710.0004350.0003930.009971

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK10000SP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK10000SP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK10000SP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK10000SP4.png

  • NoSP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE181860.8837790.4529243.535570e+06166326.1152247.9649993.232551e+06182750.8965610.0225453.552931e+06
    RMSPE426.4515020.6729961.880311e+03407.8309892.8222331.797930e+03427.4937390.1501491.884922e+03
    MSPE%634.3106660.0016501.238971e+04604.5647220.0290951.181983e+04636.0148610.0000771.242236e+04
    RMSPE%25.1855250.0406161.113091e+0224.5878980.1705721.087190e+0225.2193350.0087911.114556e+02
    MAPE76.1389430.2439511.499120e+0375.0442462.4970901.432609e+0376.2016600.1148651.502931e+03
    MAPE%0.2651540.0008655.242707e+000.2725540.0090975.229755e+000.2647300.0003935.243449e+00

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK10000NoSP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK10000NoSP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK10000NoSP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/MERRA2NobidirectionalNoFRK10000NoSP4.png

2b_8

bidirectional-FRK-s4_dropout0.0-4000

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalFRK4000log.png

  • SP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE5.8231e+660.10261.1646e+681.0083e+661.02602.0166e+676.3581e+660.0000051.2716e+68
    RMSPE2.4131e+330.32031.0792e+341.0041e+331.01294.4906e+332.5215e+330.0021241.1277e+34
    MSPE%1.4416e+730.19002.8833e+746.9926e+661.89931.3985e+681.6018e+730.0000513.2036e+74
    RMSPE%3.7969e+360.43591.6980e+372.6443e+331.37821.1826e+344.0023e+360.0071671.7899e+37
    MAPE3.6612e+320.08197.3224e+331.5208e+320.80973.0416e+333.8990e+320.0009917.7980e+33
    MAPE%3.7969e+390.34507.5937e+401.0044e+333.35212.0088e+344.2187e+390.0108998.4375e+40

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalFRK4000SP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalFRK4000SP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalFRK4000SP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalFRK4000SP4.png

  • NoSP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE5.823092e+660.1026031.164618e+681.008290e+661.0259852.016580e+676.358069e+660.0000051.271614e+68
    RMSPE2.413108e+330.3203161.079175e+341.004136e+331.0129094.490635e+332.521521e+330.0021241.127659e+34
    MSPE%1.441628e+730.1899812.883256e+746.992550e+661.8993461.398510e+681.601809e+730.0000513.203617e+74
    RMSPE%3.796877e+360.4358681.698015e+372.644343e+331.3781681.182586e+344.002260e+360.0071671.789865e+37
    MAPE3.661201e+320.0818647.322402e+331.520802e+320.8097273.041605e+333.899023e+320.0009917.798046e+33
    MAPE%3.796872e+390.3450237.5937e+401.004424e+333.3521412.008849e+344.218747e+390.0108998.437494e+40

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalFRK4000NoSP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalFRK4000NoSP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalFRK4000NoSP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalFRK4000NoSP4.png

bidirectional-NoFRK-s4_dropout0.0-4000

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalNoFRK4000log.png

  • SP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE5.147689e+660.1003141.029538e+682.716749e+650.9948325.433498e+665.689469e+660.0009231.137894e+68
    RMSPE2.268852e+330.3167241.014661e+345.212244e+320.9974132.330987e+332.385261e+330.0303871.066721e+34
    MSPE%6.448289e+720.1783231.289658e+741.978870e+661.7435443.957740e+677.164765e+720.0044101.432953e+74
    RMSPE%2.539348e+360.4222831.135631e+371.406723e+331.3204336.291057e+332.676708e+360.0664041.197060e+37
    MAPE3.230288e+320.1032386.460575e+337.896310e+310.7974681.579262e+333.501472e+320.0261017.002943e+33
    MAPE%2.539343e+390.4865685.078687e+405.159410e+323.3517721.031882e+342.821493e+390.1682125.642985e+40

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalNoFRK4000SP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalNoFRK4000SP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalNoFRK4000SP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalNoFRK4000SP4.png

  • NoSP
    MetricALL Locs & All TimeKnown Locs & All TimeUnknown Locs & All TimeALL Locs & FutureKnown Locs & FutureUnknown Locs & FutureALL Locs & PastKnown Locs & PastUnknown Locs & Past
    MSPE5.888744e+660.1003521.177749e+685.335852e+650.9952141.067170e+676.483761e+660.0009231.296752e+68
    RMSPE2.426673e+330.3167851.085241e+347.304692e+320.9976043.266758e+332.546323e+330.0303881.138750e+34
    MSPE%5.439624e+730.1780501.087925e+753.127449e+661.7408296.254897e+676.044027e+730.0044081.208805e+75
    RMSPE%7.375381e+360.4219603.298371e+371.768459e+331.3194057.908791e+337.774334e+360.0663943.476788e+37
    MAPE3.693160e+320.1032567.386319e+331.056481e+320.7976432.112962e+333.986124e+320.0261017.972248e+33
    MAPE%7.375381e+390.4866331.475076e+416.438245e+323.3528591.287649e+348.194868e+390.1681631.638974e+41

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalNoFRK4000NoSP1.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalNoFRK4000NoSP2.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalNoFRK4000NoSP3.png
https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/2b_8bidirectionalNoFRK4000NoSP4.png

Nobidirectional-FRK-s4_dropout0.0-4000

  • 尚未完成實驗。

Nobidirectional-NoFRK-s4_dropout0.0-4000

  • 尚未完成實驗。

實驗快照

https://raw.githubusercontent.com/Josh-test-lab/website-assets-repository/refs/heads/main/posts/1150310%20meeting/Experimental%20snapshot.png
實驗快照。

參考資料

  • Zhu X, Xiong Y, Wu M, et al. Weather2K: A Multivariate Spatio-Temporal Benchmark Dataset for Meteorological Forecasting Based on Real-Time Observation Data from Ground Weather Stations[C]//International Conference on Artificial Intelligence and Statistics. PMLR, 2023: 2704-2722.
  • Juan Lopez Alcaraz 、 Nils Strodthoff(2022)。Diffusion-based time series imputation and forecasting with structured state space models。Transactions on Machine Learning Research。參考自 https://openreview.net/forum?id=hHiIbk7ApW
  • SSSD(2022)。GitHub。參考自 https://github.com/AI4HealthUOL/SSSD