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Opportunities and challenges of diffusion models for generative AI.

Minshuo Chen1, Song Mei2, Jianqing Fan3

  • 1Department of Electrical and Computer Engineering, Princeton University, Princeton 08544, USA.

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Diffusion models are powerful AI tools for data generation and modeling. This paper explores their applications, theoretical challenges, and potential for structured optimization, aiming to spur future innovations.

Keywords:
diffusion modelgenerative AIoptimizationsample generation under controls

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Generative Models

Background:

  • Diffusion models are advanced generative AI with broad applications.
  • Their empirical success contrasts with limited theoretical understanding.
  • This gap hinders principled advancements in diffusion model development.

Purpose of the Study:

  • Review emerging applications of diffusion models.
  • Analyze their theoretical underpinnings using stochastic processes.
  • Identify challenges and propose solutions for diffusion model theory.

Main Methods:

  • Review of diffusion model applications and capabilities.
  • Analysis via stochastic processes to understand their working flow.
  • Exploration of diffusion models for high-dimensional structured optimization.

Main Results:

  • Diffusion models excel at flexible high-dimensional data modeling and controlled sample generation.
  • Theoretical challenges in analyzing diffusion models are identified.
  • Promising advances demonstrate their potential as distribution learners and samplers.

Conclusions:

  • Diffusion models offer significant potential beyond current applications.
  • Addressing theoretical challenges is crucial for future innovation.
  • Reformulating optimization as conditional sampling via diffusion models is a new avenue.