---
title: "Denoising diffusion model: formula and 18 recent papers"
description: "Denoising diffusion model was mentioned in 18 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #47 of the 104 equations and models mentioned."
url: https://scholar4ai.com/equations/denoising-diffusion-model
markdown_url: https://scholar4ai.com/equations/denoising-diffusion-model.md
license: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/)
share_text: "Denoising diffusion model was mentioned in 18 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #47 of the 104 equations and models mentioned."
data_url: https://scholar4ai.com/data/rankings.json
updated: 2026-10-26T14:52:47+09:00
window: 2026-09-27 to 2026-10-26
source: OpenAlex (CC0)
---

# Denoising diffusion model

$$
\mathcal{L} = E_{t, x_0, \epsilon}\Big[\left\lVert \epsilon - \epsilon_\theta\big(\sqrt{\bar\alpha_t}\, x_0 + \sqrt{1 - \bar\alpha_t}\, \epsilon,\ t\big) \right\rVert^2\Big]
$$

Generative model that learns to remove noise step by step; the basis of current image generators.

- area: Machine learning
- 2 papers in the last 7 days
- Names searched for: denoising diffusion, diffusion probabilistic, latent diffusion, score-based generative, Stable Diffusion

Back to the ranking: https://scholar4ai.com/rankings/equations.md

## Key findings

- Denoising diffusion model was mentioned in 18 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #47 of the 104 equations and models mentioned.
- By journal category: AI (16), Economics (1) and Management (1).
- Most of them appeared in International Journal of Computer Vision (4), Neural Networks (3) and Expert Systems with Applications (3).
- Often mentioned together with Scaled dot-product attention (Transformer) (9), Convolutional neural network (CNN) (6) and Generative adversarial network (GAN) (6).
- Datasets named in the same papers: OR-Library (3), ImageNet (3) and CIFAR-10 / CIFAR-100 (2).
- From Oct 2023 to Sep 2026, 184 archived papers mentioned Denoising diffusion model in their title, abstract or keywords, most of them in Jul 2025 (16).

## Mentions over 36 months

*Papers mentioning it by publication month, Oct 2023 to Sep 2026 (titles, abstracts and keywords)*

| Trend | Oct 23–Sep 24 | Oct 24–Sep 25 | Oct 25–Sep 26 | 36 months |
|---|---:|---:|---:|---:|
|  | 41 | 106 | 37 | 184 |

*Papers mentioning Denoising diffusion model, newest first.*

| Date | Title | Journal | Authors | Affiliations |
|---|---|---|---|---|
| 2026-10-23 | [Multimodal continual federated learning for human activity recognition: Trends and challenges](https://doi.org/10.1007/s10489-026-07562-x) | [Applied Intelligence](https://scholar4ai.com/journals/applied-intelligence.md) | André L. S. Conde, Rodolfo I. Meneguette, Robson E. De Grande et al. | Universidade Estadual Paulista (Unesp); Institute of Mathematics and Computer Science; Brock University |
| 2026-10-20 | [Test-Time Computing for Referring Multimodal Large Language Models](https://doi.org/10.1007/s11263-026-03100-x) | [International Journal of Computer Vision](https://scholar4ai.com/journals/international-journal-of-computer-vision.md) | Mingrui Wu, Hao Chen, Jiayi Ji et al. | Xiamen University; Tsinghua University; Nankai University |
| 2026-10-17 | [Tech Mining with LLMs: Unveiling Trends from Corporate Websites](https://doi.org/10.1007/s10614-026-11451-3) | [Computational Economics](https://scholar4ai.com/journals/computational-economics.md) | Xavier Martínez-Barbero, Ana Pastor-Merino, Josep Domènech | Universitat Politècnica de València |
| 2026-10-15 | [PhyDiff: Physics-guided latent diffusion model for sparse-view CT projection interpolation](https://doi.org/10.1016/j.neunet.2026.109744) | [Neural Networks](https://scholar4ai.com/journals/neural-networks.md) | Shuo Duan, Xing Wu, Yimin Zhu et al. | Shanghai University; Shanghai University of Engineering Science; Hong Kong Baptist University; … |
| 2026-10-14 | [Echo-DM: Ultrasound marker removal via conditional latent diffusion and region-aware fusion](https://doi.org/10.1016/j.neunet.2026.109757) | [Neural Networks](https://scholar4ai.com/journals/neural-networks.md) | Zhiwei Wang, Tao Huang, Wentao Jiang et al. | Wuhan University; Central Hospital of Wuhan; Hubei University of Technology |
| 2026-10-10 | [ConsistDiff: Training-free reinforcement learning for semantically consistent text-to-image generation](https://doi.org/10.1016/j.neunet.2026.109734) | [Neural Networks](https://scholar4ai.com/journals/neural-networks.md) | Junwei Wang, Kaibing Zhang, Pengfang Li et al. | Xi'an Polytechnic University; Northwestern Polytechnical University; Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai) |
| 2026-10-09 | [Edit-Your-Interest: Efficient video editing via Feature Most-Similar Propagation](https://doi.org/10.1016/j.patcog.2026.115113) | [Pattern Recognition](https://scholar4ai.com/journals/pattern-recognition.md) | Yi Zuo, Zitao Wang, Lingling Li et al. | Ministry of Education of the People's Republic of China; Xidian University |
| 2026-10-02 | [Time-frequency decomposition with latent diffusion for non-stationary multivariate time-series anomaly detection](https://doi.org/10.1016/j.eswa.2026.134588) | [Expert Systems with Applications](https://scholar4ai.com/journals/expert-systems-with-applications.md) | Min Wang, Zhihao Liang, Jianqun Cui et al. | Central China Normal University |
| 2026-10-01 | [CDGAT: A conditioned diffusion-based graph attention network for spatio-temporal prediction](https://doi.org/10.1007/s00521-026-12618-7) | [Neural Computing and Applications](https://scholar4ai.com/journals/neural-computing-and-applications.md) | Angelo Casolaro, Massimiliano Giordano Orsini, Vincenzo Capone et al. | Parthenope University of Naples |
| 2026-10-01 | [Fix Your Downsampling ASAP! Aliasing and Sinc Artifact Free Pooling in the Fourier Domain](https://doi.org/10.1007/s11263-026-03005-9) | [International Journal of Computer Vision](https://scholar4ai.com/journals/international-journal-of-computer-vision.md) | Julia Grabinski, Steffen Jung, Janis Keuper et al. | Technische Hochschule Mannheim; University of Mannheim; Technische Universität Darmstadt; … |
| 2026-10-01 | [AiDRG: Diffusion-based digital rubbing synthesis via shading inversion and attention-guided optimization sampling](https://doi.org/10.1016/j.eswa.2026.134593) | [Expert Systems with Applications](https://scholar4ai.com/journals/expert-systems-with-applications.md) | Yunxiang Wang, Mingyuan Ge, Guang Wu et al. | Chongqing University; Henan Provincial Institute of Cultural Heritage and Archaeology; University of Wollongong |
| 2026-10-01 | [DecoupDiff: Spatially decoupled denoising diffusion model for industrial anomaly detection](https://doi.org/10.1016/j.eswa.2026.134512) | [Expert Systems with Applications](https://scholar4ai.com/journals/expert-systems-with-applications.md) | Liwei Wang, Jinhai Liu, Fengyuan Zuo et al. | Northeastern University |
| 2026-10-01 | [A comprehensive survey on multimodal sentiment analysis: Approaches, challenges and open issues](https://doi.org/10.1016/j.ijinfomgt.2026.103138) | [International Journal of Information Management](https://scholar4ai.com/journals/international-journal-of-information-management.md) | Fatemeh Hemmatian, Arash Sabbaghi, Mohammad Karim Sohrabi | Islamic Azad University Semnan |
| 2026-10-01 | [Efficient Test-Time Prompt Tuning for Vision-Language Models](https://doi.org/10.1007/s11263-026-03019-3) | [International Journal of Computer Vision](https://scholar4ai.com/journals/international-journal-of-computer-vision.md) | Yuhan Zhu, Guozhen Zhang, Xu Chen et al. | Nanjing University; Shanghai Artificial Intelligence Laboratory |
| 2026-10-01 | [Privacy Leakage on DNNs: A Survey of Model Inversion Attacks and Defenses](https://doi.org/10.1007/s11263-026-03049-x) | [International Journal of Computer Vision](https://scholar4ai.com/journals/international-journal-of-computer-vision.md) | Hao Fang, Yixiang Qiu, Hongyao Yu et al. | Tsinghua Shenzhen International Graduate School; Tsinghua University; Harbin Institute of Technology; … |
| 2026-09-30 | [P2Mark: Plug-and-play parameter-level watermarking for neural speech generation](https://doi.org/10.1016/j.artint.2026.104627) | [Artificial Intelligence](https://scholar4ai.com/journals/artificial-intelligence.md) | Yong Sheng Ren, Jiangyan Yi, Tao Wang et al. | Chinese Academy of Sciences; Institute of Automation; University of Chinese Academy of Sciences; … |
| 2026-09-29 | [Drift-aware denoising-uniform step optimization for fast diffusion sampling](https://doi.org/10.1016/j.patcog.2026.115021) | [Pattern Recognition](https://scholar4ai.com/journals/pattern-recognition.md) | Yuhang He, Wenbin Lu, Junnan Xu et al. | Zhejiang University of Technology |
| 2026-09-28 | [Regional climate risk assessment from climate models using probabilistic machine learning](https://doi.org/10.1038/s42256-026-01308-7) | [Nature Machine Intelligence](https://scholar4ai.com/journals/nature-machine-intelligence.md) | Zhong Yi Wan, Ignacio Lopez‐Gomez, Robert W. Carver et al. | Google (United States); California Institute of Technology; General Motors (United States); … |

## Cite this page

Scholar4AI. (2026). Denoising diffusion model. Journal Research Rankings. Retrieved October 26, 2026, from https://scholar4ai.com/equations/denoising-diffusion-model

```bibtex
@misc{scholar4ai-equations-denoising-diffusion-model,
  author = {{Scholar4AI}},
  title = {Denoising diffusion model},
  year = {2026},
  howpublished = {\url{https://scholar4ai.com/equations/denoising-diffusion-model}},
  urldate = {2026-10-26},
  note = {Journal Research Rankings; data from OpenAlex (CC0); licensed CC BY-NC 4.0}
}
```

License: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/).