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Balanced MSE for Imbalanced Visual Regression

CVPR 2022 · Label-efficient and robust learning › Recognition and long-tail · approach: Group-robust classification · 185 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace ordinary MSE with Balanced MSEVisual regression · IMDB-WIKI-DIRbMAE (All): 13.09 -> 12.66Helped
Replace ordinary MSE with Balanced MSEVisual regression · IMDB-WIKI-DIRMAE (All): 7.79 -> 8.12Hurt
Apply Balanced MSE to depth regressionNYUD2-DIR depth estimator · NYUD2-DIRRMSE (All): 1.477 -> 1.251Helped
Apply Balanced MSE to depth regressionNYUD2-DIR depth estimator · NYUD2-DIRδ1 (All): 0.677 -> 0.702Helped
Apply Balanced MSE to mesh regressionSPIN regressor · IHMRbMPVPE (All): 116.1 -> 112.7Helped
Apply Balanced MSE to mesh regressionSPIN regressor · IHMRbMPVPE (Tail 5%): 126.4 -> 128.1Hurt
Use Balanced MSE rather than vanilla least squaresSynthetic linear regressor · Synthetic regression, high-skew NormalMSE: 5.521 -> 0.031Helped
Use Balanced MSE rather than inverse reweightingSynthetic linear regressor · Synthetic regression, high-skew ExponentialMSE: 4.676 -> 0.001Helped
Use batch-based Monte Carlo instead of analytical GMM integrationBalanced MSE · Synthetic regression, high-skew MVNMSE: 0.122 -> 0.126No clear effect
Fix noise scale at 6 rather than jointly learn it (ablation)Balanced MSE (GAI) · IMDB-WIKI-DIRbMAE (All): 12.66 -> 12.85Hurt
Fix noise scale at 7 rather than jointly learn it (ablation)Balanced MSE (GAI) · IMDB-WIKI-DIRbMAE (All): 12.67 -> 12.66No clear effect
Fix noise scale at 8 rather than jointly learn it (ablation)Balanced MSE (GAI) · IMDB-WIKI-DIRbMAE (All): 12.68 -> 12.66No clear effect

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