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We propose a posterior sampling algorithm for the problem of estimating multiple independent source signals from their noisy superposition. The proposed algorithm is a combination of Gibbs sampling method and plug-and-play (PnP) diffusion…

Signal Processing · Electrical Eng. & Systems 2025-09-17 Yi Zhang , Rui Guo , Yonina C. Eldar

In unsupervised feature learning, sample specificity based methods ignore the inter-class information, which deteriorates the discriminative capability of representation models. Clustering based methods are error-prone to explore the…

Computer Vision and Pattern Recognition · Computer Science 2020-07-16 Yifei Zhang , Chang Liu , Yu Zhou , Wei Wang , Weiping Wang , Qixiang Ye

The denoising process of diffusion models can be interpreted as an approximate projection of noisy samples onto the data manifold. Moreover, the noise level in these samples approximates their distance to the underlying manifold. Building…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Abulikemu Abuduweili , Chenyang Yuan , Changliu Liu , Frank Permenter

Discrete Diffusion and Flow Matching models have significantly advanced generative modeling for discrete structures, including graphs. However, the dependencies between intermediate noisy states lead to error accumulation and propagation…

Machine Learning · Computer Science 2025-06-24 Yoann Boget

Single-cell RNA sequencing (scRNA-seq), especially temporally resolved datasets, enables genome-wide profiling of gene expression dynamics at single-cell resolution across discrete time points. However, current technologies provide only…

Genomics · Quantitative Biology 2025-11-19 Yue Ling , Peiqi Zhang , Zhenyi Zhang , Peijie Zhou

Point cloud denoising task aims to recover the clean point cloud from the scanned data coupled with different levels or patterns of noise. The recent state-of-the-art methods often train deep neural networks to update the point locations…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Zhaonan Wang , Manyi Li , ShiQing Xin , Changhe Tu

Diffusion models have emerged as powerful tools for generative tasks, producing high-quality outputs across diverse domains. However, how the generated data responds to the initial noise perturbation in diffusion models remains…

Machine Learning · Computer Science 2025-02-10 Bowen Song , Zecheng Zhang , Zhaoxu Luo , Jason Hu , Wei Yuan , Jing Jia , Zhengxu Tang , Guanyang Wang , Liyue Shen

This work proposes a learning-based statistical refinement method for improving the denoising results of a given denoiser without knowing the precise noise distribution or accessing clean images or calibration data. While there are many…

Machine Learning · Computer Science 2026-05-07 Rihuan Ke

While diffusion models have achieved great success in generating continuous signals such as images and audio, it remains elusive for diffusion models in learning discrete sequence data like natural languages. Although recent advances…

Computation and Language · Computer Science 2024-05-02 Jiasheng Ye , Zaixiang Zheng , Yu Bao , Lihua Qian , Mingxuan Wang

While continuous diffusion has shown remarkable success in continuous domains such as image generation, its direct application to discrete data has underperformed compared to purely discrete formulations. This gap is counterintuitive, given…

Machine Learning · Computer Science 2025-10-30 Patrick Pynadath , Jiaxin Shi , Ruqi Zhang

Diffusion models have garnered significant interest from the community for their great generative ability across various applications. However, their typical multi-step sequential-denoising nature gives rise to high cumulative latency,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Zigeng Chen , Xinyin Ma , Gongfan Fang , Zhenxiong Tan , Xinchao Wang

Single-cell multi-view clustering enables the exploration of cellular heterogeneity within the same cell from different views. Despite the development of several multi-view clustering methods, two primary challenges persist. Firstly, most…

Genomics · Quantitative Biology 2023-11-30 Dayu Hu , Zhibin Dong , Ke Liang , Jun Wang , Siwei Wang , Xinwang Liu

The single-cell RNA sequencing (scRNA-seq) technology enables researchers to study complex biological systems and diseases with high resolution. The central challenge is synthesizing enough scRNA-seq samples; insufficient samples can impede…

Genomics · Quantitative Biology 2023-12-25 Yixuan Wang , Shuangyin Li , Shimin DI , Lei Chen

As a class of generative artificial intelligence frameworks inspired by statistical physics, diffusion models have shown extraordinary performance in synthesizing complicated data distributions through a denoising process gradually guided…

Machine Learning · Computer Science 2026-04-23 Fangjun Hu , Guangkuo Liu , Yifan F. Zhang , Xun Gao

In recent years, the advances in single-cell RNA-seq techniques have enabled us to perform large-scale transcriptomic profiling at single-cell resolution in a high-throughput manner. Unsupervised learning such as data clustering has become…

Genomics · Quantitative Biology 2020-01-07 Shixiong Zhang , Xiangtao Li , Qiuzhen Lin , Ka-Chun Wong

Self-supervised heterogeneous graph learning (SHGL) has shown promising potential in diverse scenarios. However, while existing SHGL methods share a similar essential with clustering approaches, they encounter two significant limitations:…

Artificial Intelligence · Computer Science 2024-12-03 Yujie Mo , Zhihe Lu , Runpeng Yu , Xiaofeng Zhu , Xinchao Wang

Perturbation screens hold the potential to systematically map regulatory processes at single-cell resolution, yet modeling and predicting transcriptome-wide responses to perturbations remains a major computational challenge. Existing…

Molecular Networks · Quantitative Biology 2026-01-26 Lars Lorch , Jiaqi Zhang , Charlotte Bunne , Andreas Krause , Bernhard Schölkopf , Caroline Uhler

Single-cell RNA sequencing (scRNA-seq) has revolutionized our understanding of cellular processes by enabling gene expression analysis at the individual cell level. Clustering allows for the identification of cell types and the further…

Machine Learning · Computer Science 2025-06-03 Ziwen Wang

Faced with the scarcity of clean label data in real scenarios, seismic denoising methods based on supervised learning (SL) often encounter performance limitations. Specifically, when a model trained on synthetic data is directly applied to…

Geophysics · Physics 2023-11-07 Shijun Cheng , Zhiyao Cheng , Chao Jiang , Weijian Mao , Qingchen Zhang

We study a discrete denoising diffusion framework that integrates a sample-efficient estimator of single-site conditionals with round-robin noising and denoising dynamics for generative modeling over discrete state spaces. Rather than…

Machine Learning · Computer Science 2026-03-02 Karthik Elamvazhuthi , Abhijith Jayakumar , Andrey Y. Lokhov