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On the benefits of maximum likelihood estimation for Regression and Forecasting
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the ZNBP mixture likelihood with metric-specific inference instead of direct target-metric training | Regression and forecasting models · Favorita test | MAPE: 0.3199±0.0011 -> 0.3139±0.0011 | Helped |
| Use the ZNBP mixture likelihood with metric-specific inference instead of direct target-metric training | Regression and forecasting models · Favorita test | RMSE: 161.4919±0.4748 -> 164.6521±1.5185 | Hurt |
| Use the ZNBP mixture likelihood with metric-specific inference instead of direct target-metric training | Regression and forecasting models · M5 test | WAPE: 0.266±0.0001 -> 0.2677±0.0002 | Hurt |
| Use the ZNBP mixture likelihood with metric-specific inference instead of direct target-metric training | Regression and forecasting models · Bicycle Share test | RMSE: 878.5815±1.3059 -> 767.4368±7.1274 | Helped |
| Use the ZNBP mixture likelihood with metric-specific inference instead of direct target-metric training | Regression and forecasting models · Gas Turbine test | MAPE: 0.774±0.0054 -> 0.9877±0.0019 | Hurt |
| Use the ZNBP mixture likelihood and infer quantiles from its predicted distribution instead of quantile regression | Bicycle Share model · Bicycle Share test | p10QL: 0.0973±0.0002 -> 0.0788±0.0008 | Helped |
| Use the ZNBP mixture likelihood and infer quantiles from its predicted distribution instead of quantile regression | Bicycle Share model · Bicycle Share test | p90QL: 0.0628±0.0019 -> 0.0536±0.0007 | Helped |
| Add zero-inflation to Negative Binomial (ablation) | MLE mixture likelihood · Favorita test | MAPE: 0.3314+/-0.0016 -> 0.3186+/-0.0011 | Helped |
| Add zero-inflation to Negative Binomial (ablation) | MLE mixture likelihood · Favorita test | WAPE: 0.2521+/-0.002 -> 0.2453+/-0.002 | Helped |
| Add zero-inflation to Negative Binomial (ablation) | MLE mixture likelihood · Favorita test | RMSE: 175.501+/-1.1928 -> 170.0075+/-1.282 | Helped |
| Add Pareto to Zero-Inflated Negative Binomial (ablation) | MLE mixture likelihood · Favorita test | MAPE: 0.3186+/-0.0011 -> 0.3139±0.0011 | Helped |
| Add Pareto to Zero-Inflated Negative Binomial (ablation) | MLE mixture likelihood · Favorita test | WAPE: 0.2453+/-0.002 -> 0.2238±0.0009 | Helped |
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