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Multiscale dynamical systems characterized by interacting fast and slow processes are ubiquitous across scientific domains, from climate dynamics to fluid mechanics. Accurate modeling of such systems requires capturing both the long-term…

混沌动力学 · 物理学 2025-11-07 Giulio Del Felice , Ludovico Theo Giorgini

Score-based diffusion models provide a powerful way to model images using the gradient of the data distribution. Leveraging the learned score function as a prior, here we introduce a way to sample data from a conditional distribution given…

图像与视频处理 · 电气工程与系统科学 2022-07-19 Hyungjin Chung , Jong Chul Ye

We introduce a new generative model where samples are produced via Langevin dynamics using gradients of the data distribution estimated with score matching. Because gradients can be ill-defined and hard to estimate when the data resides on…

机器学习 · 计算机科学 2020-10-13 Yang Song , Stefano Ermon

In practical compressed sensing (CS), the obtained measurements typically necessitate quantization to a limited number of bits prior to transmission or storage. This nonlinear quantization process poses significant recovery challenges,…

信号处理 · 电气工程与系统科学 2024-01-09 Xiangming Meng , Yoshiyuki Kabashima

We provide theoretical convergence guarantees for score-based generative models (SGMs) such as denoising diffusion probabilistic models (DDPMs), which constitute the backbone of large-scale real-world generative models such as DALL$\cdot$E…

机器学习 · 计算机科学 2023-04-18 Sitan Chen , Sinho Chewi , Jerry Li , Yuanzhi Li , Adil Salim , Anru R. Zhang

We present a novel approach to reconstruct gas and dark matter projected density maps of galaxy clusters using score-based generative modeling. Our diffusion model takes in mock SZ and X-ray images as conditional inputs, and generates…

宇宙学与河外天体物理 · 物理学 2025-07-16 Alan Hsu , Matthew Ho , Joyce Lin , Carleen Markey , Michelle Ntampaka , Hy Trac , Barnabás Póczos

Implicit generative modeling (IGM) aims to produce samples of synthetic data matching the characteristics of a target data distribution. Recent work (e.g. score-matching networks, diffusion models) has approached the IGM problem from the…

机器学习 · 计算机科学 2026-05-21 Romann M. Weber

Score diffusion methods can learn probability densities from samples. The score of the noise-corrupted density is estimated using a deep neural network, which is then used to iteratively transport a Gaussian white noise density to a target…

计算机视觉与模式识别 · 计算机科学 2024-10-16 Zahra Kadkhodaie , Stéphane Mallat , Eero P. Simoncelli

Score-based Generative Models (SGMs) have demonstrated remarkable generalization abilities, e.g. generating unseen, but natural data. However, the greater the generalization power, the more likely the unintended generalization, and the more…

机器学习 · 计算机科学 2025-06-27 Wan Jiang , He Wang , Xin Zhang , Dan Guo , Zhaoxin Fan , Yunfeng Diao , Richang Hong

Generative diffusion models synthesize new samples by reversing a diffusive process that converts a given data set to generic noise. This is accomplished by training a neural network to match the gradient of the log of the probability…

机器学习 · 计算机科学 2023-10-11 Akhil Premkumar

Accurate forecasting of spatiotemporal data remains challenging due to complex spatial dependencies and temporal dynamics. The inherent uncertainty and variability in such data often render deterministic models insufficient, prompting a…

机器学习 · 计算机科学 2024-11-05 Mingze Gong , Lei Chen , Jia Li

Symmetry is ubiquitous in many real-world phenomena and tasks, such as physics, images, and molecular simulations. Empirical studies have demonstrated that incorporating symmetries into generative models can provide better generalization…

机器学习 · 统计学 2026-05-12 Ziyu Chen , Markos A. Katsoulakis , Benjamin J. Zhang

Diffusion models have emerged as a dominant framework for generative modeling, but their mathematical foundations are often presented separately through diffusion probabilistic models, score-based modeling, stochastic differential…

机器学习 · 计算机科学 2026-05-29 Jiayi Fu , Yuxia Wang

The time-series anomaly detection is one of the most fundamental tasks for time-series. Unlike the time-series forecasting and classification, the time-series anomaly detection typically requires unsupervised (or self-supervised) training…

机器学习 · 计算机科学 2023-08-30 Haksoo Lim , Sewon Park , Minjung Kim , Jaehoon Lee , Seonkyu Lim , Noseong Park

Score-based generative models can produce high quality image samples comparable to GANs, without requiring adversarial optimization. However, existing training procedures are limited to images of low resolution (typically below 32x32), and…

机器学习 · 计算机科学 2020-10-27 Yang Song , Stefano Ermon

Policy targets evolve faster than the Coupled Model Intercomparison Project cycles, complicating adaptation and mitigation planning that must often contend with outdated projections. Climate model output emulators address this gap by…

大气与海洋物理 · 物理学 2026-04-14 Shahine Bouabid , Andre Nogueira Souza , Raffaele Ferrari

We present SURE-Score: an approach for learning score-based generative models using training samples corrupted by additive Gaussian noise. When a large training set of clean samples is available, solving inverse problems via score-based…

机器学习 · 计算机科学 2025-04-23 Asad Aali , Marius Arvinte , Sidharth Kumar , Jonathan I. Tamir

We give an improved theoretical analysis of score-based generative modeling. Under a score estimate with small $L^2$ error (averaged across timesteps), we provide efficient convergence guarantees for any data distribution with second-order…

机器学习 · 计算机科学 2023-02-03 Hongrui Chen , Holden Lee , Jianfeng Lu

Diffusion-based generative models learn to iteratively transfer unstructured noise to a complex target distribution as opposed to Generative Adversarial Networks (GANs) or the decoder of Variational Autoencoders (VAEs) which produce samples…

机器学习 · 计算机科学 2022-10-26 Sarthak Mittal , Guillaume Lajoie , Stefan Bauer , Arash Mehrjou

Learning to generate graphs is challenging as a graph is a set of pairwise connected, unordered nodes encoding complex combinatorial structures. Recently, several works have proposed graph generative models based on normalizing flows or…

机器学习 · 计算机科学 2023-06-21 Xiaohui Chen , Yukun Li , Aonan Zhang , Li-Ping Liu