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By learning the gradient of smoothed data distributions, diffusion models can iteratively generate samples from complex distributions. The learned score function enables their generalization capabilities, but how the learned score relates…

机器学习 · 计算机科学 2024-12-16 Binxu Wang , John J. Vastola

In this work, we propose the Generative Latent Flow (GLF), an algorithm for generative modeling of the data distribution. GLF uses an Auto-encoder (AE) to learn latent representations of the data, and a normalizing flow to map the…

计算机视觉与模式识别 · 计算机科学 2019-09-24 Zhisheng Xiao , Qing Yan , Yali Amit

Distribution matching (DM) is a versatile domain-invariant representation learning technique that has been applied to tasks such as fair classification, domain adaptation, and domain translation. Non-parametric DM methods struggle with…

机器学习 · 计算机科学 2025-06-18 Ziyu Gong , Jim Lim , David I. Inouye

Score-based generative models achieve state-of-the-art sampling performance by denoising a distribution perturbed by Gaussian noise. In this paper, we focus on a single deterministic denoising step, and compare the optimal denoiser for the…

机器学习 · 计算机科学 2026-03-18 Eliot Beyler , Francis Bach

A fundamental problem in Bayesian inference and statistical machine learning is to efficiently sample from multimodal distributions. Due to metastability, multimodal distributions are difficult to sample using standard Markov chain Monte…

机器学习 · 统计学 2019-05-27 Yulong Lu , Jianfeng Lu , James Nolen

In population synthesis applications, when considering populations with many attributes, a fundamental problem is the estimation of rare combinations of feature attributes. Unsurprisingly, it is notably more difficult to reliably…

机器学习 · 统计学 2019-09-18 Sergio Garrido , Stanislav S. Borysov , Francisco C. Pereira , Jeppe Rich

Score-based generative models (SGMs) have recently emerged as a promising class of generative models. However, a fundamental limitation is that their inference is very slow due to a need for many (e.g., 2000) iterations of sequential…

计算机视觉与模式识别 · 计算机科学 2022-12-06 Hengyuan Ma , Li Zhang , Xiatian Zhu , Jianfeng Feng

This study delves into the connection between machine learning and lattice field theory by linking generative diffusion models (DMs) with stochastic quantization, from a stochastic differential equation perspective. We show that DMs can be…

高能物理 - 格点 · 物理学 2023-11-08 Lingxiao Wang , Gert Aarts , Kai Zhou

Most visual generative models compress images into a latent space before applying diffusion or autoregressive modelling. Yet, existing approaches such as VAEs and foundation model aligned encoders implicitly constrain the latent space…

计算机视觉与模式识别 · 计算机科学 2025-12-09 Sen Ye , Jianning Pei , Mengde Xu , Shuyang Gu , Chunyu Wang , Liwei Wang , Han Hu

Score-based Generative Models (SGMs) have achieved impressive performance in data generation across a wide range of applications and benefit from strong theoretical guarantees. Recently, methods inspired by statistical mechanics, in…

Score-based generative modeling (SGM) is a highly successful approach for learning a probability distribution from data and generating further samples. We prove the first polynomial convergence guarantees for the core mechanic behind SGM:…

机器学习 · 计算机科学 2023-05-04 Holden Lee , Jianfeng Lu , Yixin Tan

Denoising diffusion models are a recent class of generative models exhibiting state-of-the-art performance in image and audio synthesis. Such models approximate the time-reversal of a forward noising process from a target distribution to a…

机器学习 · 统计学 2023-05-30 Valentin De Bortoli

Generating graph-structured data requires learning the underlying distribution of graphs. Yet, this is a challenging problem, and the previous graph generative methods either fail to capture the permutation-invariance property of graphs or…

机器学习 · 计算机科学 2022-06-16 Jaehyeong Jo , Seul Lee , Sung Ju Hwang

This work explores the theoretical and practical foundations of denoising diffusion probabilistic models (DDPMs) and score-based generative models, which leverage stochastic processes and Brownian motion to model complex data distributions.…

机器学习 · 计算机科学 2024-12-30 Jathin Korrapati , Tanish Baranwal , Rahul Shah

Although generative diffusion models (GDMs) are widely used in practice, their theoretical foundations remain limited, especially concerning the impact of different discretization schemes applied to the underlying stochastic differential…

数值分析 · 数学 2026-01-27 Emanuel Pfarr , Radu Timofte , Frank Werner

We study the problem of estimating the score function using both implicit score matching and denoising score matching. Assuming that the data distribution exhibiting a low-dimensional structure, we prove that implicit score matching is able…

统计理论 · 数学 2026-01-01 Konstantin Yakovlev , Anna Markovich , Nikita Puchkin

Score-based Generative Models (SGMs) approximate a data distribution by perturbing it with Gaussian noise and subsequently denoising it via a learned reverse diffusion process. These models excel at modeling complex data distributions and…

机器学习 · 计算机科学 2025-09-23 Stefano Bruno , Sotirios Sabanis

Score-based diffusion models generate samples from an unknown target distribution using a time-reversed diffusion process. While such models represent state-of-the-art approaches in industrial applications such as artificial image…

机器学习 · 计算机科学 2026-02-09 Adrian Baule

The diffusion models (DMs) have demonstrated the remarkable capability of generating images via learning the noised score function of data distribution. Current DM sampling techniques typically rely on first-order Langevin dynamics at each…

计算机视觉与模式识别 · 计算机科学 2025-06-02 Fangyikang Wang , Hubery Yin , Lei Qian , Yinan Li , Shaobin Zhuang , Huminhao Zhu , Yilin Zhang , Yanlong Tang , Chao Zhang , Hanbin Zhao , Hui Qian , Chen Li

We introduce a novel framework for efficient sampling from complex, unnormalised target distributions by exploiting multiscale dynamics. Traditional score-based sampling methods either rely on learned approximations of the score function or…

统计计算 · 统计学 2025-11-04 Paula Cordero-Encinar , Andrew B. Duncan , Sebastian Reich , O. Deniz Akyildiz