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A Generalization Theory for Zero-Shot Prediction

ICML 2025 · Label-efficient and robust learning › Zero-/few-shot and meta-learning · approach: Robust fine-tuning of zero-shot models · 0 citations (OpenAlex)

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Proposes a learning-theoretic framework for zero-shot prediction (ZSP) that decomposes downstream error into prompt bias, residual dependence, and estimation error, with RKHS finite-sample bounds and simulated/image experiments on CLIP-style models.

Problem

Theoretical understanding of zero-shot prediction from self-supervised/multimodal contrastive pre-training plus prompting, comparing it to direct supervised prediction with dependence on pre-training, evaluation, and prompt distributions.

Approach

Models ZSP as an indirect two-stage predictor through a caption variable using a latent caption model; shows the gap to the direct predictor is bounded by residual dependence (conditional mean square contingency of X and Y given Z) plus prompt bias, and gives two estimator classes (conditional mean and information density) with finite-sample bounds.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
sample prompts from P_{Y,Z} rather than use the 18 default templatesResNet50 zero-shot classification · ImageNet-Captions Sub-Task 1top-1 accuracy: almost 15% absolute increaseHelped
use LLM-generated class-conditional captions instead of templatesCuPL · DTDtop-5 accuracy: nearly 20% increaseHelped
increase the number of unbiased prompts per classzero-shot classification · ImageNet-Captions taskstop-1 accuracyHelped
use the single default template instead of class-conditional LLM promptszero-shot classification · Flowers 102accuracyHelped
increase the number of LLM-generated prompts per classclass-conditional prompting · Flowers 102 and FGVC Aircrafttop-k accuracyHelped
increase the number of LLM-generated prompts per classclass-conditional prompting · DTDtop-k accuracyHelped
reduce conditional dependence between X and Y given Zindirect predictor, CLIP, and VICReg · simulated binary classificationclassification accuracyHelped

Surprising findings

Limitations

Experimental setup

Datasets: YFCC15M LAION COCO subset DataComp medium ImageNet-Captions

Benchmarks: DTD Flowers 102 FGVC Aircraft SUN397 ImageNet-1k

Metrics: top-k zero-shot accuracy

Baselines: direct predictor CLIP VICReg template-based prompting

Builds on: CLIP CuPL multi-view redundancy theory spectral regularization kernel learning

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