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On the benefits of maximum likelihood estimation for Regression and Forecasting

ICLR 2022 · Time series › Causal and generative time series · approach: Probabilistic and conformal forecasting · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the ZNBP mixture likelihood with metric-specific inference instead of direct target-metric trainingRegression and forecasting models · Favorita testMAPE: 0.3199±0.0011 -> 0.3139±0.0011Helped
Use the ZNBP mixture likelihood with metric-specific inference instead of direct target-metric trainingRegression and forecasting models · Favorita testRMSE: 161.4919±0.4748 -> 164.6521±1.5185Hurt
Use the ZNBP mixture likelihood with metric-specific inference instead of direct target-metric trainingRegression and forecasting models · M5 testWAPE: 0.266±0.0001 -> 0.2677±0.0002Hurt
Use the ZNBP mixture likelihood with metric-specific inference instead of direct target-metric trainingRegression and forecasting models · Bicycle Share testRMSE: 878.5815±1.3059 -> 767.4368±7.1274Helped
Use the ZNBP mixture likelihood with metric-specific inference instead of direct target-metric trainingRegression and forecasting models · Gas Turbine testMAPE: 0.774±0.0054 -> 0.9877±0.0019Hurt
Use the ZNBP mixture likelihood and infer quantiles from its predicted distribution instead of quantile regressionBicycle Share model · Bicycle Share testp10QL: 0.0973±0.0002 -> 0.0788±0.0008Helped
Use the ZNBP mixture likelihood and infer quantiles from its predicted distribution instead of quantile regressionBicycle Share model · Bicycle Share testp90QL: 0.0628±0.0019 -> 0.0536±0.0007Helped
Add zero-inflation to Negative Binomial (ablation)MLE mixture likelihood · Favorita testMAPE: 0.3314+/-0.0016 -> 0.3186+/-0.0011Helped
Add zero-inflation to Negative Binomial (ablation)MLE mixture likelihood · Favorita testWAPE: 0.2521+/-0.002 -> 0.2453+/-0.002Helped
Add zero-inflation to Negative Binomial (ablation)MLE mixture likelihood · Favorita testRMSE: 175.501+/-1.1928 -> 170.0075+/-1.282Helped
Add Pareto to Zero-Inflated Negative Binomial (ablation)MLE mixture likelihood · Favorita testMAPE: 0.3186+/-0.0011 -> 0.3139±0.0011Helped
Add Pareto to Zero-Inflated Negative Binomial (ablation)MLE mixture likelihood · Favorita testWAPE: 0.2453+/-0.002 -> 0.2238±0.0009Helped

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