2021
DOI: 10.1007/s00477-021-02048-3
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Multi-model streamflow prediction using conditional bias-penalized multiple linear regression

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Cited by 17 publications
(7 citation statements)
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“…The simple arithmetic averaging distributes equal weights among hydrological models, mirroring the theoretical approach of EWA. EWA: Equal-weighted average of individual forecast [39] Mean: Merging without assigning any specific weight [39] Trimmed Mean: Trim outlier before averaging [4] Weighted Granger and Newbold Methods: Weight estimation with (type 1) or without (type 2) correlations consideration [41] WAM-OLS: Weight estimation through multiple linear regression [42] RTMOCM: Linear Transfer Function Model integration [43] RSWM: Runoff-scale weighting with flow stages [44] WAM-MOGWO: Multi-objective grey wolf optimization for weighting [41] Granger and Ramanathan Methods GRA: Ordinary least squares (OLS)-based weighting Easy and quick implementation; Hedging against the use of bad model; Only GRC has bias correction steps GRA cannot construct density forecasts; GRC sometimes produces unrealistic results [41] GRB: Weights are constrained unity [41] GRC: Weighting with a bias correction [7] Regression Methods PLSR: Regression coefficient estimation using partial OLS [31] CCR: Bias correction with a constant term [39] PCR: Transfer predictor variable to orthogonal variables [45] SWR: Lagged forecast error and unbiased forecast [46] NGR: Gaussian mean as regression coefficient [47] CBP-MLR: Conditional bias incorporation for error reduction [47] Com-MLR: Weighted average of MLR and CBP-MLR [2] Bayesian QR-BMA: Quantile regression-based BMA [48] BMA-LR: BMA in linear regression model [48] BMA-GLM: BMA in the generalized linear model [49] SBMC: Sequential addition of new information [50] BMA-WVC: BMA-based ensemble multi-wavelet Volterra coupled approach [51] CBMA: Copula function integrated BMA [52] HBMA: Hierarchical BMA for uncertainty segregation [53] CBP-BMA: Copula Bayesian Processor with BMA for PDF relaxation [54] (e-Bay) BMA: Ensemble-based dynamic Bayesian averaging [55] BMA-DSRC: BMA integrated with the dynamic system response curve [56] VB-LSTM: Regression-based Variational Bayesian Long Short-Term Memory…”
Section: Simple Averaging Methods (Sam)mentioning
confidence: 99%
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“…The simple arithmetic averaging distributes equal weights among hydrological models, mirroring the theoretical approach of EWA. EWA: Equal-weighted average of individual forecast [39] Mean: Merging without assigning any specific weight [39] Trimmed Mean: Trim outlier before averaging [4] Weighted Granger and Newbold Methods: Weight estimation with (type 1) or without (type 2) correlations consideration [41] WAM-OLS: Weight estimation through multiple linear regression [42] RTMOCM: Linear Transfer Function Model integration [43] RSWM: Runoff-scale weighting with flow stages [44] WAM-MOGWO: Multi-objective grey wolf optimization for weighting [41] Granger and Ramanathan Methods GRA: Ordinary least squares (OLS)-based weighting Easy and quick implementation; Hedging against the use of bad model; Only GRC has bias correction steps GRA cannot construct density forecasts; GRC sometimes produces unrealistic results [41] GRB: Weights are constrained unity [41] GRC: Weighting with a bias correction [7] Regression Methods PLSR: Regression coefficient estimation using partial OLS [31] CCR: Bias correction with a constant term [39] PCR: Transfer predictor variable to orthogonal variables [45] SWR: Lagged forecast error and unbiased forecast [46] NGR: Gaussian mean as regression coefficient [47] CBP-MLR: Conditional bias incorporation for error reduction [47] Com-MLR: Weighted average of MLR and CBP-MLR [2] Bayesian QR-BMA: Quantile regression-based BMA [48] BMA-LR: BMA in linear regression model [48] BMA-GLM: BMA in the generalized linear model [49] SBMC: Sequential addition of new information [50] BMA-WVC: BMA-based ensemble multi-wavelet Volterra coupled approach [51] CBMA: Copula function integrated BMA [52] HBMA: Hierarchical BMA for uncertainty segregation [53] CBP-BMA: Copula Bayesian Processor with BMA for PDF relaxation [54] (e-Bay) BMA: Ensemble-based dynamic Bayesian averaging [55] BMA-DSRC: BMA integrated with the dynamic system response curve [56] VB-LSTM: Regression-based Variational Bayesian Long Short-Term Memory…”
Section: Simple Averaging Methods (Sam)mentioning
confidence: 99%
“…Regression-based techniques have gained popularity in multi-model forecast merging due to their ease of implementation and higher performance (mean NSE value around 0.83) compared to simple or weighted averaging methods (Figure 2). One commonly used method is the MLR method, which has been widely applied in various studies [12,26,29,31,47,84]. Two variations of MLR methods are Constrained MLR and Unconstrained MLR.…”
Section: Regression-based Methodsmentioning
confidence: 99%
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“…Penalized Linear Regression estimates significant interactions between features in an n-by-p data matrix and the continuous outcome [24]. It can be used for efficiently handling the data when the number of features including molecular descriptors, exceeds the number of compound samples [25].…”
Section: Regression Penalized Linear Regressionmentioning
confidence: 99%
“…MRL analysis is a method that can measure the level of influence of the relationship between predictors and outcomes. MRL is an analytical method that can improve the prediction process [14].…”
Section: Introductionmentioning
confidence: 99%