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Data assimilation presents computational challenges because many high-fidelity models must be simulated. Various deep-learning-based surrogate modeling techniques have been developed to reduce the simulation costs associated with these…

机器学习 · 计算机科学 2022-12-28 Su Jiang , Louis J. Durlofsky

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

Diffusion models have demonstrated strong generative capabilities across scientific domains, but often produce outputs that violate physical laws. We propose a new perspective by framing physics-informed generation as a sparse reward…

机器学习 · 计算机科学 2025-09-26 Mingze Yuan , Pengfei Jin , Na Li , Quanzheng Li

Diffusion-based generative models have recently gained attention in speech enhancement (SE), providing an alternative to conventional supervised methods. These models transform clean speech training samples into Gaussian noise centered at…

计算机视觉与模式识别 · 计算机科学 2023-09-20 Jean-Eudes Ayilo , Mostafa Sadeghi , Romain Serizel

Score-based models generate samples by mapping noise to data (and vice versa) via a high-dimensional diffusion process. We question whether it is necessary to run this entire process at high dimensionality and incur all the inconveniences…

机器学习 · 计算机科学 2023-02-28 Bowen Jing , Gabriele Corso , Renato Berlinghieri , Tommi Jaakkola

Latent diffusion models (LDMs) dominate high-quality image generation, yet integrating representation learning with generative modeling remains a challenge. We introduce a novel generative image modeling framework that seamlessly bridges…

计算机视觉与模式识别 · 计算机科学 2026-01-23 Theodoros Kouzelis , Efstathios Karypidis , Ioannis Kakogeorgiou , Spyros Gidaris , Nikos Komodakis

Diffusion models have recently emerged as a powerful framework for generative modeling. They consist of a forward process that perturbs input data with Gaussian white noise and a reverse process that learns a score function to generate…

Generating physically realistic 3D molecular structures remains a core challenge in molecular generative modeling. While diffusion models equipped with equivariant neural networks have made progress in capturing molecular geometries, they…

机器学习 · 计算机科学 2025-08-25 Zhijian Zhou , Junyi An , Zongkai Liu , Yunfei Shi , Xuan Zhang , Fenglei Cao , Chao Qu , Yuan Qi

Conditional medical image generation plays an important role in many clinically relevant imaging tasks. However, existing methods still face a fundamental challenge in balancing inference efficiency, patient-specific fidelity, and…

计算机视觉与模式识别 · 计算机科学 2026-04-22 Zirong Li , Siyuan Mei , Weiwen Wu , Andreas Maier , Lina Gölz , Yan Xia

Designing biological sequences is an important challenge that requires satisfying complex constraints and thus is a natural problem to address with deep generative modeling. Diffusion generative models have achieved considerable success in…

机器学习 · 计算机科学 2023-06-19 Pavel Avdeyev , Chenlai Shi , Yuhao Tan , Kseniia Dudnyk , Jian Zhou

Diffusion models (DMs) are a powerful generative framework that have attracted significant attention in recent years. However, the high computational cost of training DMs limits their practical applications. In this paper, we start with a…

机器学习 · 计算机科学 2024-04-12 Tianshuo Xu , Peng Mi , Ruilin Wang , Yingcong Chen

We present a concise, self-contained derivation of diffusion-based generative models. Starting from basic properties of Gaussian distributions (densities, quadratic expectations, re-parameterisation, products, and KL divergences), we…

机器学习 · 计算机科学 2025-11-18 Sepehr Maleki , Negar Pourmoazemi

Multi-fidelity surrogate modeling aims to learn an accurate surrogate at the highest fidelity level by combining data from multiple sources. Traditional methods relying on Gaussian processes can hardly scale to high-dimensional data. Deep…

机器学习 · 计算机科学 2024-06-25 Ruijia Niu , Dongxia Wu , Kai Kim , Yi-An Ma , Duncan Watson-Parris , Rose Yu

The exploration of transition state (TS) geometries is crucial for elucidating chemical reaction mechanisms and modeling their kinetics. Recently, machine learning (ML) models have shown remarkable performance for prediction of TS…

化学物理 · 物理学 2023-10-13 Seonghwan Kim , Jeheon Woo , Woo Youn Kim

We propose self-diffusion, a novel framework for solving inverse problems without relying on pretrained generative models. Traditional diffusion-based approaches require training a model on a clean dataset to learn to reverse the forward…

机器学习 · 计算机科学 2025-12-09 Guanxiong Luo , Shoujin Huang , Yanlong Yang

Diffusion models (DMs) have revolutionized generative learning. They utilize a diffusion process to encode data into a simple Gaussian distribution. However, encoding a complex, potentially multimodal data distribution into a single…

机器学习 · 计算机科学 2024-07-04 Yilun Xu , Gabriele Corso , Tommi Jaakkola , Arash Vahdat , Karsten Kreis

Surrogate modeling for complex physical systems typically faces a trade-off between data-fitting accuracy and physical consistency. Physics-consistent approaches typically treat physical laws as soft constraints within the loss function, a…

机器学习 · 计算机科学 2026-01-30 José Afonso , Pedro Viegas , Rodrigo Ventura , Vasco Guerra

We propose SymDiff, a method for constructing equivariant diffusion models using the framework of stochastic symmetrisation. SymDiff resembles a learned data augmentation that is deployed at sampling time, and is lightweight,…

机器学习 · 计算机科学 2025-03-04 Leo Zhang , Kianoosh Ashouritaklimi , Yee Whye Teh , Rob Cornish

Diffusion models are powerful generative models that can produce highly realistic samples for various tasks. Typically, these models are constructed using centralized, independently and identically distributed (IID) training data. However,…

机器学习 · 计算机科学 2025-03-14 Zihao Peng , Xijun Wang , Shengbo Chen , Hong Rao , Cong Shen

Global Navigation Satellite Systems (GNSS) are vital for reliable urban positioning. However, multipath and non-line-of-sight reception often introduce large measurement errors that degrade accuracy. Learning-based methods for predicting…

计算机视觉与模式识别 · 计算机科学 2025-09-23 Jiaqi Zhu , Shouyi Lu , Ziyao Li , Guirong Zhuo , Lu Xiong