Theoretical and Natural Science

- The Open Access Proceedings Series for Conferences


Theoretical and Natural Science

Vol. 18, 08 December 2023


Open Access | Article

Denoising diffusion model as handwritten digit generator

Baixi Wu * 1
1 College of Science and Mathematics, University of Massachusetts Boston

* Author to whom correspondence should be addressed.

Theoretical and Natural Science, Vol. 18, 118-125
Published 08 December 2023. © 2023 The Author(s). Published by EWA Publishing
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citation Baixi Wu. Denoising diffusion model as handwritten digit generator. TNS (2023) Vol. 18: 118-125. DOI: 10.54254/2753-8818/18/20230353.

Abstract

The diffusion model is the process by which variables are introduced and propagated through a population. The equation can be applied to any physical system that exhibits such processes through time. Generally speaking, diffusion occurs when a physical system is connected to another by a small number of interconnected points; the interconnected points' overall connectivity can be represented by a network. The diffusion model is a mathematically defined process used to analyse the movement of particles from a region of high concentration to that of low concentration. Based on the diffusion coefficient and polarization, several studies have established that the equilibrium port-to-port distance can be calculated. The diffusion model is useful for solving the problem of noise in imaging systems, especially when an object has similar properties in all directions. When discussing diffusion, it is essential to refer to the diffusion coefficient. The literatures find denoising diffusion model to involves the process where a pixel value is estimated based on values at surrounding pixels. On the other hand, a forward process is passing through an image and replacing pixels based on their quality estimates. Reconstruction involves reconstructing an image from its components, including the subsamples and low-quality components. This model achieves satisfactory performance on digital number image generation.

Keywords

deep learning, diffusion model, image generation, image reconstruction

References

1. erma-Usabiaga, G., Mukherjee, P., Perry, M. L., & Wandell, B. A. (2020). Data-science ready, multisite, human diffusion MRI white-matter-tract statistics. Scientific data, 7(1), 1-9.

2. Ho, J., Jain, A., & Abbeel, P. (2020). Denoising diffusion probabilistic models. Advances in Neural Information Processing Systems, 33, 6840-6851.

3. Lin, H., Pennycook, G., & Rand, D. (2022). Thinking more or thinking differently? Using drift-diffusion modeling to illuminate why accuracy prompts decrease misinformation sharing.

4. Harvey, W., Naderiparizi, S., Masrani, V., Weilbach, C., & Wood, F. (2022). Flexible Diffusion Modeling of Long Videos. arXiv preprint arXiv:2205.11495.

5. Peng, C., Guo, P., Zhou, S. K., Patel, V. M., & Chellappa, R. (2022). Towards performant and reliable undersampled MR reconstruction via diffusion model sampling. In International Conference on Medical Image Computing and Computer-Assisted Intervention, 623-633.

6. Pourhakkak, P., Taghizadeh, A., Taghizadeh, M., Ghaedi, M., & Haghdoust, S. (2021). Fundamentals of adsorption technology. In Interface Science and Technology 33, 1-70.

7. Kim, D., Shin, S., Song, K., Kang, W., & Moon, I. C. (2022). Soft truncation: A universal training technique of score-based diffusion model for high precision score estimation. In International Conference on Machine Learning, 11201-11228.

8. Liu, X., Yeo, K., & Lu, S. (2022). Statistical modeling for spatio-temporal data from stochastic convection-diffusion processes. Journal of the American Statistical Association, 117(539), 1482-1499

9. Song, Y., Durkan, C., Murray, I., & Ermon, S. (2021). Maximum likelihood training of score-based diffusion models. Advances in Neural Information Processing Systems, 34, 1415-1428

10. Capuani, S., & Palombo, M. (2020). Mini review on anomalous diffusion by MRI: potential advantages, pitfalls, limitations, nomenclature, and correct interpretation of literature. Frontiers in Physics, 7, 248

11. Firdaniza, F., Ruchjana, B. N., Chaerani, D., & Radianti, J. (2021). Information Diffusion Model in Twitter: A Systematic Literature Review. Information, 13(1), 13.

12. Kawar, B., Elad, M., Ermon, S., & Song, J. (2022). Denoising diffusion restoration models. arXiv preprint arXiv:2201.11793.

13. Kong, X., Gu, Z., & Yin, L. (2020, July). A unified information diffusion model for social networks. In 2020 IEEE Fifth International Conference on Data Science in Cyberspace (DSC), 38-44

14. Akhremenko, A. S., Stukal, D. K., & Petrov, A. P. (2020). Network vs message in protest diffusion on social media: theoretical and data analytics perspectives. Polis. Political Studies, 2(2), 73-91.

15. Choi, J., Lee, J., Shin, C., Kim, S., Kim, H., & Yoon, S. (2022). Perception Prioritized Training of Diffusion Models. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 11472-11481.

16. Dhariwal, P., & Nichol, A. (2021). Diffusion models beat gans on image synthesis. Advances in Neural Information Processing Systems, 34, 8780-8794.

Data Availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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Volume Title
Proceedings of the 2nd International Conference on Computing Innovation and Applied Physics
ISBN (Print)
978-1-83558-201-5
ISBN (Online)
978-1-83558-202-2
Published Date
08 December 2023
Series
Theoretical and Natural Science
ISSN (Print)
2753-8818
ISSN (Online)
2753-8826
DOI
10.54254/2753-8818/18/20230353
Copyright
08 December 2023
Open Access
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

Copyright © 2023 EWA Publishing. Unless Otherwise Stated