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PRIME: Deep Imbalanced Regression with Proxies

ICML 2025 · Label-efficient and robust learning › Recognition and long-tail · approach: Data augmentation and generalization bias

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Proposes PRIME, a proxy-based representation learning framework for deep imbalanced regression that arranges learnable proxies uniformly over targets while preserving their ordinal structure, and aligns sample features to proxies, optionally combined with classification-style imbalance techniques.

Problem

Deep imbalanced regression: models trained on skewed continuous targets collapse minority-target features into majority regions, yielding poor minority-target accuracy and poorly ordered representations.

Approach

Learnable proxies placed at quantile-spaced target values are trained with a SNE-style ordinal loss plus a spreading term, then each sample feature is aligned to proxies via target-similarity-weighted cross-entropy, which turns regression into a classification-like objective so class-imbalance losses (PRW, CB, LDAM) can be applied.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use PRIME instead of RankSimResNet50 regression model · AgeDB-DIR AllMAE: 7.10±0.05 -> 7.09±0.08Helped
Use PRIME instead of RankSimResNet50 regression model · AgeDB-DIR AllGM: 4.53±0.07 -> 4.39±0.08Helped
Use PRIME instead of RankSimResNet50 regression model · IMDB-WIKI-DIR AllMAE: 7.43±0.04 -> 7.36±0.05Helped
Use PRIME instead of RankSimResNet50 regression model · IMDB-WIKI-DIR AllGM: 4.14±0.03 -> 3.98±0.04Helped
Use PRIME instead of Balanced MSEResNet50 encoder-decoder · NYUD2-DIR AllRMSE: 1.307±0.021 -> 1.292±0.020Helped
Add proxy-wise re-weightingPRIME · NYUD2-DIR Allδ1: 0.687±0.004 -> 0.689±0.003Helped
Add proxy-wise re-weightingPRIME · STS-B-DIR AllMSE: 0.970±0.004 -> 0.967±0.004Helped
Add proxy loss (ablation)M1 on AgeDB-DIR · AgeDB-DIR AllMAE: 7.34±0.08 -> 7.24±0.09Helped
Assign proxy targets uniformly rather than randomly (ablation)M2 on AgeDB-DIR · AgeDB-DIR AllMAE: 7.24±0.09 -> 7.23±0.12Helped
Use distance-proportional alignment instead of one-hot alignment (ablation)M3 on AgeDB-DIR · AgeDB-DIR AllMAE: 7.23±0.12 -> 7.09±0.08Helped
Add proxy loss (ablation)M1 on AgeDB-DIR · AgeDB-DIR AllGM: 4.66±0.07 -> 4.61±0.12Helped
Assign proxy targets uniformly rather than randomly (ablation)M2 on AgeDB-DIR · AgeDB-DIR AllGM: 4.61±0.12 -> 4.55±0.12Helped

Surprising findings

Limitations

Experimental setup

Datasets: AgeDB-DIR IMDB-WIKI-DIR NYUD2-DIR STS-B-DIR

Benchmarks: AgeDB-DIR IMDB-WIKI-DIR NYUD2-DIR STS-B-DIR

Metrics: MAE GM RMSE delta1 threshold accuracy MSE Pearson correlation Spearman correlation

Baselines: SQInv LDS FDS Balanced MSE RankSim VIR ConR HCA IM-Context

Builds on: ProxyNCA Balanced MSE RankSim ConR LDAM

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