Regression Metrics

• EVS - Explained Variance Score
• ME - Max Error
• MAE - Mean Absolute Error
• MSE - Mean Squared Error
• MBE - Mean Bias Error
• RMSE - Root Mean Square Error
• MSLE - Mean Squared Logarithmic Error
• MedAE - Median Absolute Error
• MRE - Mean Relative Error
• MPE - Mean Percentage Error
• MAPE - Mean Absolute Percentage Error
• SMAPE - Symmetric Mean Absolute Percentage Error
• MAAPE - Mean Arctangent Absolute Percentage Error
• MASE - Mean Absolute Scaled Error
• NSE - Nash-Sutcliffe Efficiency
• NNSE - Normalized Nash-Sutcliffe Efficiency
• WI - Willmott Index of Agreement
• R - Pearson’s Correlation Coefficient
• AR - Absolute Pearson’s Correlation Coefficient
• R2 - Coefficient of Determination
• AR2 - Adjusted Coefficient of Determination
• CI - Confidence Index
• R2S - Squared Pearson’s Correlation Coefficient
• DRV - Deviation of Runoff Volume
• KGE - Kling-Gupta Efficiency
• GINI - Regression Gini
• PCD - Prediction of Change in Direction
• CE - Cross Entropy
• KLD - Kullback-Leibler Divergence
• JSD - Jensen-Shannon Divergence
• VAF - Variance Accounted For
• RAE - Relative Absolute Error
• RRSE - Root Relative Squared Error
• A10 - A10 Index
• A20 - A20 Index
• A30 - A30 Index
• NRMSE - Normalized Root Mean Square Error
• RSE - Residual Standard Error
• COV - Covariance
• COR - Correlation Coefficient
• EC - Efficiency Coefficient
• OI - Overall Index
• CRM - Coefficient of Residual Mass
• RE - Relative Error
• AE - Absolute Error
• SE - Squared Error
• SLE - Squared Log Error

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)