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Diffusion models have become the de facto framework for generating new datasets. The core of these models lies in the ability to reverse a diffusion process in time. The goal of this manuscript is to explain, from a PDE perspective, how…

Probability · Mathematics 2025-01-29 Fei Cao , Kimball Johnston , Thomas Laurent , Justin Le , Sébastien Motsch

Mass spectrometry is the dominant technology in the field of proteomics, enabling high-throughput analysis of the protein content of complex biological samples. Due to the complexity of the instrumentation and resulting data, sophisticated…

Designing mechanical linkages to achieve target end-effector trajectories presents a fundamental challenge due to the intricate coupling between continuous node placements, discrete topological configurations, and nonlinear kinematic…

Machine Learning · Computer Science 2026-01-08 Yayati Jadhav , Amir Barati Farimani

Diffusion Probabilistic Models (DPMs) have achieved great success in image generation but suffer from high inference latency due to their iterative denoising nature. Motivated by the evolving feature dynamics across the denoising…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Haodong He , Yuan Gao , Weizhong Zhang , Gui-Song Xia

Iterative refinement methods based on a denoising-inversion cycle are powerful tools for enhancing the quality and control of diffusion models. However, their effectiveness is critically limited when combined with standard Classifier-Free…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Haosen Li , Wenshuo Chen , Shaofeng Liang , Lei Wang , Haozhe Jia , Yutao Yue

This paper presents PolyDiffuse, a novel structured reconstruction algorithm that transforms visual sensor data into polygonal shapes with Diffusion Models (DM), an emerging machinery amid exploding generative AI, while formulating…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Jiacheng Chen , Ruizhi Deng , Yasutaka Furukawa

Positron Emission Tomography (PET) is a vital imaging modality widely used in clinical diagnosis and preclinical research but faces limitations in image resolution and signal-to-noise ratio due to inherent physical degradation factors.…

Image and Video Processing · Electrical Eng. & Systems 2024-11-11 Boxiao Yu , Kuang Gong

Adversarial evasion attacks pose significant threats to graph learning, with lines of studies that have improved the robustness of Graph Neural Networks (GNNs). However, existing works rely on priors about clean graphs or attacking…

Machine Learning · Computer Science 2025-02-10 Jiayi Luo , Qingyun Sun , Haonan Yuan , Xingcheng Fu , Jianxin Li

Recently, 3D generative models have shown promising performances in structure-based drug design by learning to generate ligands given target binding sites. However, only modeling the target-ligand distribution can hardly fulfill one of the…

Biomolecules · Quantitative Biology 2024-03-22 Xiangxin Zhou , Xiwei Cheng , Yuwei Yang , Yu Bao , Liang Wang , Quanquan Gu

Denoising Diffusion Probabilistic Models (DDPMs) have emerged as a powerful family of generative models that can yield high-fidelity samples and competitive log-likelihoods across a range of domains, including image and speech synthesis.…

Machine Learning · Computer Science 2021-06-08 Daniel Watson , Jonathan Ho , Mohammad Norouzi , William Chan

In recent years, graph neural networks (GNN) have achieved unprecedented successes in node classification tasks. Although GNNs inherently encode specific inductive biases (e.g., acting as low-pass or high-pass filters), most existing…

Machine Learning · Computer Science 2025-07-22 Yule Li , Yifeng Lu , Zhen Wang , Zhewei Wei , Yaliang Li , Bolin Ding

This study introduces a novel point-wise diffusion model that processes spatio-temporal points independently to efficiently predict complex physical systems with shape variations. This methodological contribution lies in applying forward…

Computational Physics · Physics 2025-08-05 Jiyong Kim , Sunwoong Yang , Namwoo Kang

The conformational landscape of proteins is crucial to understanding their functionality in complex biological processes. Traditional physics-based computational methods, such as molecular dynamics (MD) simulations, suffer from rare event…

Biomolecules · Quantitative Biology 2024-09-25 Yan Wang , Lihao Wang , Yuning Shen , Yiqun Wang , Huizhuo Yuan , Yue Wu , Quanquan Gu

Diffusion models have achieved state-of-the-art performance across multiple domains, with recent advancements extending their applicability to discrete data. However, aligning discrete diffusion models with task-specific preferences remains…

Machine Learning · Computer Science 2025-04-10 Umberto Borso , Davide Paglieri , Jude Wells , Tim Rocktäschel

Diffusion models have emerged as a promising approach for text generation, with recent works falling into two main categories: discrete and continuous diffusion models. Discrete diffusion models apply token corruption independently using…

Computation and Language · Computer Science 2025-05-29 Bocheng Li , Zhujin Gao , Linli Xu

Denoising Diffusion Probabilistic Models (DDPMs) are a very popular class of deep generative model that have been successfully applied to a diverse range of problems including image and video generation, protein and material synthesis,…

Diffusion guidance is a powerful technique that enables controllable and high-fidelity sample generation with diffusion models. At a high level, it modifies the score function by incorporating a guidance term that steers the generative…

Machine Learning · Computer Science 2026-05-25 Ruijia Cao , Yuchen Wu , Nisha Chandramoorthy

Biologists frequently desire protein inhibitors for a variety of reasons, including use as research tools for understanding biological processes and application to societal problems in agriculture, healthcare, etc. Immunotherapy, for…

Machine Learning · Computer Science 2024-11-04 Po-Yu Liang , Jun Bai

The ability to characterize proteins at sequence-level resolution is vital to biological research. Currently, the leading method for protein sequencing is by liquid chromatography mass spectrometry (LC-MS) whereas proteins are reduced to…

Genomics · Quantitative Biology 2025-07-11 René L. Warren

Deep denoising models require extensive real-world training data, which is challenging to acquire. Current noise synthesis techniques struggle to accurately model complex noise distributions. We propose a novel Realistic Noise Synthesis…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Qi Wu , Mingyan Han , Ting Jiang , Chengzhi Jiang , Jinting Luo , Man Jiang , Haoqiang Fan , Shuaicheng Liu