Single-Step Consistent Diffusion Samplers
- URL: http://arxiv.org/abs/2502.07579v1
- Date: Tue, 11 Feb 2025 14:25:52 GMT
- Title: Single-Step Consistent Diffusion Samplers
- Authors: Pascal Jutras-Dubé, Patrick Pynadath, Ruqi Zhang,
- Abstract summary: Existing sampling algorithms typically require many iterative steps to produce high-quality samples.
We introduce consistent diffusion samplers, a new class of samplers designed to generate high-fidelity samples in a single step.
We show that our approach yields high-fidelity samples using less than 1% of the network evaluations required by traditional diffusion samplers.
- Score: 8.758218443992467
- License:
- Abstract: Sampling from unnormalized target distributions is a fundamental yet challenging task in machine learning and statistics. Existing sampling algorithms typically require many iterative steps to produce high-quality samples, leading to high computational costs that limit their practicality in time-sensitive or resource-constrained settings. In this work, we introduce consistent diffusion samplers, a new class of samplers designed to generate high-fidelity samples in a single step. We first develop a distillation algorithm to train a consistent diffusion sampler from a pretrained diffusion model without pre-collecting large datasets of samples. Our algorithm leverages incomplete sampling trajectories and noisy intermediate states directly from the diffusion process. We further propose a method to train a consistent diffusion sampler from scratch, fully amortizing exploration by training a single model that both performs diffusion sampling and skips intermediate steps using a self-consistency loss. Through extensive experiments on a variety of unnormalized distributions, we show that our approach yields high-fidelity samples using less than 1% of the network evaluations required by traditional diffusion samplers.
Related papers
- Distributional Diffusion Models with Scoring Rules [83.38210785728994]
Diffusion models generate high-quality synthetic data.
generating high-quality outputs requires many discretization steps.
We propose to accomplish sample generation by learning the posterior em distribution of clean data samples.
arXiv Detail & Related papers (2025-02-04T16:59:03Z) - Self-Refining Diffusion Samplers: Enabling Parallelization via Parareal Iterations [53.180374639531145]
Self-Refining Diffusion Samplers (SRDS) retain sample quality and can improve latency at the cost of additional parallel compute.
We take inspiration from the Parareal algorithm, a popular numerical method for parallel-in-time integration of differential equations.
arXiv Detail & Related papers (2024-12-11T11:08:09Z) - Learned Reference-based Diffusion Sampling for multi-modal distributions [2.1383136715042417]
We introduce Learned Reference-based Diffusion Sampler (LRDS), a methodology specifically designed to leverage prior knowledge on the location of the target modes.
LRDS proceeds in two steps by learning a reference diffusion model on samples located in high-density space regions.
We experimentally demonstrate that LRDS best exploits prior knowledge on the target distribution compared to competing algorithms on a variety of challenging distributions.
arXiv Detail & Related papers (2024-10-25T10:23:34Z) - Theory on Score-Mismatched Diffusion Models and Zero-Shot Conditional Samplers [49.97755400231656]
We present the first performance guarantee with explicit dimensional general score-mismatched diffusion samplers.
We show that score mismatches result in an distributional bias between the target and sampling distributions, proportional to the accumulated mismatch between the target and training distributions.
This result can be directly applied to zero-shot conditional samplers for any conditional model, irrespective of measurement noise.
arXiv Detail & Related papers (2024-10-17T16:42:12Z) - Diffusion Rejection Sampling [13.945372555871414]
Diffusion Rejection Sampling (DiffRS) is a rejection sampling scheme that aligns the sampling transition kernels with the true ones at each timestep.
The proposed method can be viewed as a mechanism that evaluates the quality of samples at each intermediate timestep and refines them with varying effort depending on the sample.
Empirical results demonstrate the state-of-the-art performance of DiffRS on the benchmark datasets and the effectiveness of DiffRS for fast diffusion samplers and large-scale text-to-image diffusion models.
arXiv Detail & Related papers (2024-05-28T07:00:28Z) - Boosting Diffusion Models with Moving Average Sampling in Frequency Domain [101.43824674873508]
Diffusion models rely on the current sample to denoise the next one, possibly resulting in denoising instability.
In this paper, we reinterpret the iterative denoising process as model optimization and leverage a moving average mechanism to ensemble all the prior samples.
We name the complete approach "Moving Average Sampling in Frequency domain (MASF)"
arXiv Detail & Related papers (2024-03-26T16:57:55Z) - Iterated Denoising Energy Matching for Sampling from Boltzmann Densities [109.23137009609519]
Iterated Denoising Energy Matching (iDEM)
iDEM alternates between (I) sampling regions of high model density from a diffusion-based sampler and (II) using these samples in our matching objective.
We show that the proposed approach achieves state-of-the-art performance on all metrics and trains $2-5times$ faster.
arXiv Detail & Related papers (2024-02-09T01:11:23Z) - Entropy-based Training Methods for Scalable Neural Implicit Sampler [15.978655106034113]
Efficiently sampling from un-normalized target distributions is a fundamental problem in scientific computing and machine learning.
In this paper, we propose an efficient and scalable neural implicit sampler that overcomes these limitations.
Our sampler can generate large batches of samples with low computational costs by leveraging a neural transformation that directly maps easily sampled latent vectors to target samples.
arXiv Detail & Related papers (2023-06-08T05:56:05Z) - Learning Fast Samplers for Diffusion Models by Differentiating Through
Sample Quality [44.37533757879762]
We introduce Differentiable Diffusion Sampler Search (DDSS), a method that optimize fast samplers for any pre-trained diffusion model.
We also present Generalized Gaussian Diffusion Models (GGDM), a family of flexible non-Markovian samplers for diffusion models.
Our method is compatible with any pre-trained diffusion model without fine-tuning or re-training required.
arXiv Detail & Related papers (2022-02-11T18:53:18Z) - Unrolling Particles: Unsupervised Learning of Sampling Distributions [102.72972137287728]
Particle filtering is used to compute good nonlinear estimates of complex systems.
We show in simulations that the resulting particle filter yields good estimates in a wide range of scenarios.
arXiv Detail & Related papers (2021-10-06T16:58:34Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.