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New research links Föllmer processes to DDPMs, improving sampling efficiency

Researchers have explored the connection between Föllmer processes and denoising diffusion probabilistic models (DDPMs), finding that discretizing Föllmer processes can yield optimal hyper-parameter settings for DDPM samplers. This approach has led to improved error bounds in terms of Wasserstein distance and KL divergence. Additionally, a new method called Forward-Learned Discrete Diffusion (FLDD) has been proposed, which learns the noising process to enable faster, few-step generation of high-quality samples. AI

Summary written by gemini-2.5-flash-lite from 9 sources. How we write summaries →

IMPACT Advances in diffusion model theory and sampling techniques could lead to more efficient and higher-quality generative AI.

RANK_REASON Multiple arXiv papers detailing theoretical advancements and new methods in diffusion models.

Read on Hugging Face Daily Papers →

COVERAGE [9]

  1. Hugging Face Daily Papers TIER_1 ·

    A note on connections between the Föllmer process and the denoising diffusion probabilistic model

    The Föllmer process is a Brownian motion conditioned to have a pre-specified distribution at time 1. This process can be interpreted as an "augmented" time-compressed version of the reverse stochastic differential equation (SDE) for the denoising diffusion probabilistic model (DD…

  2. arXiv stat.ML TIER_1 · Wei Guo, Jaemoo Choi, Yuchen Zhu, Molei Tao, Yongxin Chen ·

    Proximal Diffusion Neural Sampler

    arXiv:2510.03824v2 Announce Type: replace-cross Abstract: The task of learning a diffusion-based neural sampler for drawing samples from an unnormalized target distribution can be viewed as a stochastic optimal control problem on path measures. However, the training of neural sam…

  3. arXiv stat.ML TIER_1 · Yuta Koike ·

    Wasserstein bounds for denoising diffusion probabilistic models via the F\"ollmer process

    arXiv:2605.18069v1 Announce Type: new Abstract: This paper studies sampling error bounds for denoising diffusion probabilistic models (DDPMs) in the 2-Wasserstein distance. Our contributions are threefold. (i) Under general Lipschitz-type conditions on the score function and for …

  4. arXiv stat.ML TIER_1 · Yuta Koike ·

    A note on connections between the F\"ollmer process and the denoising diffusion probabilistic model

    arXiv:2605.18040v1 Announce Type: new Abstract: The F\"ollmer process is a Brownian motion conditioned to have a pre-specified distribution at time 1. This process can be interpreted as an "augmented" time-compressed version of the reverse stochastic differential equation (SDE) f…

  5. arXiv stat.ML TIER_1 · Grigory Bartosh, Teodora Pandeva, Sushrut Karmalkar, Javier Zazo ·

    Forward-Learned Discrete Diffusion: Learning how to noise to denoise faster

    arXiv:2605.18204v1 Announce Type: new Abstract: Discrete diffusion models are a powerful class of generative models with strong performance across many domains. For efficiency, however, discrete diffusion typically parameterizes the generative (reverse) process with factorized di…

  6. arXiv stat.ML TIER_1 · Yifan Chen, Eric Vanden-Eijnden ·

    Variational Optimality of F\"ollmer Processes in Generative Diffusions

    arXiv:2602.10989v2 Announce Type: replace-cross Abstract: We construct and analyze generative diffusions that transport a point mass to a prescribed target distribution over a finite time horizon using the stochastic interpolant framework. The drift is expressed as a conditional …

  7. arXiv stat.ML TIER_1 · Javier Zazo ·

    Forward-Learned Discrete Diffusion: Learning how to noise to denoise faster

    Discrete diffusion models are a powerful class of generative models with strong performance across many domains. For efficiency, however, discrete diffusion typically parameterizes the generative (reverse) process with factorized distributions, which makes it difficult for the mo…

  8. arXiv stat.ML TIER_1 · Yuta Koike ·

    Wasserstein bounds for denoising diffusion probabilistic models via the Föllmer process

    This paper studies sampling error bounds for denoising diffusion probabilistic models (DDPMs) in the 2-Wasserstein distance. Our contributions are threefold. (i) Under general Lipschitz-type conditions on the score function and for a broad class of variance schedules, including t…

  9. arXiv stat.ML TIER_1 · Yuta Koike ·

    A note on connections between the Föllmer process and the denoising diffusion probabilistic model

    The Föllmer process is a Brownian motion conditioned to have a pre-specified distribution at time 1. This process can be interpreted as an "augmented" time-compressed version of the reverse stochastic differential equation (SDE) for the denoising diffusion probabilistic model (DD…