Sampling ideas

Diffusion step schedules, solvers, guidance and stopping rules that cut function evaluations or improve sample quality.

2 ideas found

Category: Sampling Solves: Generalization Math: Stochastic processes Clear all

✗ Failed on benchmark 2026

Tempered-Stable Volatility Clock for Sequence Diffusion

Replace independent Gaussian diffusion noise across sequence positions with a positive, persistent variance chain and conditionally Gaussian perturbations. This gives the denoiser exposure to heavy tails and volatility clustering without requiring a more expressive neural architecture; keep the denoiser blind to the realized variance when the goal is for generated samples to retain this structure.

Useful7/10

Difficulty5/10

Novelty7/10

Sampling Accuracy Sample efficiency Generalization

Paper: Denoising Subordinated Probabilistic Models: Diffusion with a Tempered-Stable Volatility Clock, and What the Noise Mechanism Actually Controls arXiv:2607.19218

✗ Failed on benchmark 2026

Uniformly Mixing Coulomb Particle Bank

Represent a set of neural prototypes, mixture components, or latent particles by N points in R^2, and initialize or refresh them with Langevin dynamics targeting a quadratically confined logarithmic Coulomb gas. The logarithmic repulsion prevents particle collapse, while the paper's N-uniform logarithmic Sobolev inequality predicts that mixing need not degrade as the particle bank grows.

Useful6/10

Difficulty5/10

Novelty7/10

Sampling Stability Sample efficiency Generalization

Paper: Uniform logarithmic Sobolev inequalities for the 2D Coulomb gas at the diffusive temperature scale arXiv:2608.24863