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D2R2: Diffusion-based Representation with Random Distance Matching for Tabular Few-shot Learning

NeurIPS 2024 · Label-efficient and robust learning › Zero-/few-shot and meta-learning · approach: Embedding adaptation for few-shot classification · 3 citations (OpenAlex)

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Proposes D2R2, which trains a conditional diffusion model as a representation extractor with an added random distance matching loss, then classifies tabular few-shot tasks with an instance-wise iterative prototype classifier.

Problem

Few-shot classification on tabular data, where scarce labels, heterogeneous numerical and categorical features, and unreliable prototypes make standard image/NLP few-shot methods hard to apply.

Approach

Repurpose a diffusion model as a representation learner by conditioning the noise predictor on a low-dimensional embedding of the clean input (an information bottleneck), and add a random-projection distance matching loss with separate uniform and Bernoulli projections for numerical and categorical features; classify with soft k-means style instance-wise prototypes refined over query samples.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use D2R2 instead of the strongest baselineTabular few-shot classification · cmc, 1-shotaccuracy: 37.10 -> 42.88Helped
Use D2R2 instead of the strongest baselineTabular few-shot classification · income, 1-shotaccuracy: 64.02 -> 75.82Helped
Use D2R2 instead of the strongest baselineTabular few-shot classification · karkunen, 5-shotaccuracy: 85.45 -> 84.96Hurt
Add instance-wise iterative prototypes to DR+RDM (ablation)D2R2 · optdigits, 1-shotaccuracy: 77.41 -> 81.13Helped
Add instance-wise iterative prototypes to DR+RDM (ablation)D2R2 · dna, 1-shotaccuracy: 61.29 -> 68.00Helped
Add instance-wise iterative prototypes to DR+RDM (ablation)D2R2 · cmc, 1-shotaccuracy: 38.69 -> 42.88Helped
Replace center-specific prototypes with instance-wise iterative prototypes (ablation)D2R2 · optdigits, 5-shotaccuracy: 87.12 -> 90.73Helped
Add diffusion representation to RDM+IP (ablation)D2R2 · optdigits, 1-shotaccuracy: 26.66 -> 81.13Helped
Add diffusion representation to RDM+IP (ablation)D2R2 · dna, 1-shotaccuracy: 26.03 -> 68.00Helped
Add diffusion representation to RDM+IP (ablation)D2R2 · cmc, 1-shotaccuracy: 34.90 -> 42.88Helped
Add RDM to diffusion representation (ablation)D2R2 · optdigits, 1-shotaccuracy: 72.38 -> 77.41Helped
Add RDM to diffusion representation (ablation)D2R2 · dna, 1-shotaccuracy: 57.14 -> 61.29Helped

Surprising findings

Limitations

Experimental setup

Datasets: optdigits mfeat-karhunen diabetes mfeat-pixel dna cmc income nomao breast

Benchmarks: optdigits mfeat-karhunen diabetes mfeat-pixel dna cmc income nomao breast

Metrics: accuracy Wilcoxon signed-rank test p-value

Baselines: CatBoost TabPFN KNN Mean Teacher ICT Pseudo-Label MPL SubTab VIME SCARF RTDL UMTRA

Builds on: DDPM STUNT soft k-means Random distance prediction (RDP) Center prototype classification

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