Regression Metrics ================== .. toctree:: :maxdepth: 1 regression/EVS.rst regression/ME.rst regression/MAE.rst regression/MSE.rst regression/MBE.rst regression/RMSE.rst regression/MSLE.rst regression/MedAE.rst regression/MRE.rst regression/MPE.rst regression/MAPE.rst regression/SMAPE.rst regression/MAAPE.rst regression/MASE.rst regression/NSE.rst regression/NNSE.rst regression/WI.rst regression/R.rst regression/AR.rst regression/R2.rst regression/AR2.rst regression/CI.rst regression/R2S.rst regression/DRV.rst regression/KGE.rst regression/GINI.rst regression/PCD.rst regression/CE.rst regression/KLD.rst regression/JSD.rst regression/VAF.rst regression/RAE.rst regression/RRSE.rst regression/A10.rst regression/A20.rst regression/A30.rst regression/NRMSE.rst regression/RSE.rst regression/COV.rst regression/COR.rst regression/EC.rst regression/OI.rst regression/CRM.rst regression/RE.rst regression/AE.rst regression/SE.rst regression/SLE.rst ====================== All regression metrics ====================== +-----+------------+--------------------------------------------------+------------------------------------------------------+ | STT | Metric | Metric Fullname | Characteristics | +=====+============+==================================================+======================================================+ | 1 | EVS | Explained Variance Score | Bigger is better (Best = 1), Range=(-inf, 1.0] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 2 | ME | Max Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 3 | MBE | Mean Bias Error | Best = 0, Range=(-inf, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 4 | MAE | Mean Absolute Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 5 | MSE | Mean Squared Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 6 | RMSE | Root Mean Squared Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 7 | MSLE | Mean Squared Log Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 8 | MedAE | Median Absolute Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 9 | MRE / MRB | Mean Relative Error / Mean Relative Bias | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 10 | MPE | Mean Percentage Error | Best = 0, Range=(-inf, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 11 | MAPE | Mean Absolute Percentage Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 12 | SMAPE | Symmetric Mean Absolute Percentage Error | Smaller is better (Best = 0), Range=[0, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 12 | SMAPE_NP | SMAPE No Percentage | Smaller is better (Best = 0), Range=[0, 2] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 12 | SMAPE_S | SMAPE Simplified | Smaller is better (Best = 0), Range=[0, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 12 | SMAPE_S_P | SMAPE Simplified Percentage | Smaller is better (Best = 0), Range=[0, 100] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 13 | MAAPE | Mean Arctangent Absolute Percentage Error | Smaller is better (Best = 0), Range=[0, 1.5708) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 14 | MASE | Mean Absolute Scaled Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 15 | NSE | Nash-Sutcliffe Efficiency Coefficient | Bigger is better (Best = 1), Range=(-inf, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 16 | NNSE | Normalized Nash-Sutcliffe Efficiency Coefficient | Bigger is better (Best = 1), Range=[0, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 17 | WI | Willmott Index | Bigger is better (Best = 1), Range=[0, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 18 | R / PCC | Pearson’s Correlation Coefficient | Bigger is better (Best = 1), Range=[-1, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 19 | AR / APCC | Absolute Pearson's Correlation Coefficient | Bigger is better (Best = 1), Range=[0, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 20 | RSQ/R2S | (Pearson’s Correlation Index) ^ 2 | Bigger is better (Best = 1), Range=[0, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 21 | R2 / COD | Coefficient of Determination | Bigger is better (Best = 1), Range=(-inf, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 22 | AR2 / ACOD | Adjusted Coefficient of Determination | Bigger is better (Best = 1), Range=(-inf, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 23 | CI | Confidence Index | Bigger is better (Best = 1), Range=[-1, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 24 | DRV | Deviation of Runoff Volume | Best = 1.0, Range=(-inf, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 25 | KGE | Kling-Gupta Efficiency | Bigger is better (Best = 1), Range=(-inf, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 26 | NGINI | Normalized Gini Coefficient | Bigger is better (Best = 1), Range=[-1, +1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 27 | RGINI | Residual Gini Index | Smaller is better (Best = 0), Range=[0, +1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 28 | PCD | Prediction of Change in Direction | Bigger is better (Best = 1), Range=[0, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 29 | CE | Cross Entropy | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 30 | KLD | Kullback Leibler Divergence | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 31 | JSD | Jensen Shannon Divergence | Smaller is better (Best = 0), Range=[0, +1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 32 | VAF | Variance Accounted For | Bigger is better (Best = 100%), Range=(-inf, 100%] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 33 | RAE | Relative Absolute Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 34 | A10 | A10 Index | Bigger is better (Best = 1), Range=[0, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 35 | A20 | A20 Index | Bigger is better (Best = 1), Range=[0, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 36 | A30 | A30 Index | Bigger is better (Best = 1), Range=[0, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 37 | NRMSE | Normalized Root Mean Square Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 38 | RSE | Residual Standard Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 39 | RE / RB | Relative Error / Relative Bias | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 40 | AE | Absolute Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 41 | SE | Squared Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 42 | SLE | Squared Log Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 43 | COV | Covariance | Bigger is better (Best = Unknown), Range=(-inf, +inf)| +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 44 | COR | Correlation | Bigger is better (Best = 1), Range=[-1, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 45 | EC | Efficiency Coefficient | Bigger is better (Best = 1), Range=(-inf, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 46 | OI | Overall Index | Bigger is better (Best = 1), Range=(-inf, 1] | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 47 | CRM | Coefficient of Residual Mass | Smaller is better (Best = 0), Range=(-inf, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+ | 48 | RRSE | Root Relative Squared Error | Smaller is better (Best = 0), Range=[0, +inf) | +-----+------------+--------------------------------------------------+------------------------------------------------------+