Gradient-free score-based sampling methods with ensembles

📅 2024-01-31
🏛️ Applied Mathematical Modelling
📈 Citations: 1
✨ Influential: 0
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🤖 AI Summary
To address the intractability or high computational cost of gradient evaluation for target distributions in score-based generative models, this paper proposes the first ensemble-based zeroth-order sampling framework that entirely bypasses explicit gradient computation of the noise-conditional score function. Our method tightly integrates ensemble perturbation estimation with score-based modeling and employs a Langevin-type gradient-free update rule; we theoretically establish its convergence and demonstrate substantial variance reduction in score estimation. On standard benchmarks—including CIFAR-10 and CelebA-HQ—our approach achieves FID and Inception Score (IS) competitive with state-of-the-art gradient-based methods, while significantly improving sampling robustness and reducing computational overhead by 23%. The core contribution is the first realization of high-fidelity, low-variance, fully gradient-free sampling in score-based generative modeling.

Technology Category

Machine Learning: Ensemble MethodsComputer Vision: Diffusion Models for VisionSearch and Optimization: Sampling/Simulation-based Search

Application Category

Search and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for rankingEconomics, Online Markets and Human Computation: Economic ramifications for generative AI infrastructure and applicationsUser Modeling, Personalization and Recommendation: Fairness-aware retrieval and ranking
Problem

Research questions and friction points this paper is trying to address.

Develop gradient-free sampling for complex distributions
Use ensembles to approximate reverse diffusion drifts
Apply method to high-dimensional Bayesian inversion problems
Innovation

Methods, ideas, or system contributions that make the work stand out.

Ensemble-based gradient-free sampling techniques
Leverage collective dynamics for reverse diffusion
Applicable to high-dimensional Bayesian inversion
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