Diffusion Models Explained

Aayushi JainAayushi Jain
6 min read

Have you ever been amazed by an AI-generated image that looks almost indistinguishable from a photograph taken by a human? Or perhaps you've typed a bizarre prompt like "a turtle wearing sunglasses playing basketball" and watched in awe as an AI conjured that exact scene from nothing? Behind this seemingly magical process are diffusion models – the technological powerhouse driving today's most impressive image generation systems like Stable Diffusion 3 and DALL·E 3.

But how exactly do these models transform random noise into stunning, coherent images? Let's dive into the fascinating world of diffusion models and demystify the process.

The Physics-Inspired Foundation of Diffusion Models

Imagine dropping a drop of red dye into a beaker of clear water. Over time, the dye particles spread throughout the liquid until they reach a state of equilibrium – a process known as diffusion. Now, what if we could somehow reverse this process, starting with the fully diffused red water and ending up with clear water and a concentrated drop of dye? 7

This physical phenomenon provides the perfect analogy for understanding how diffusion models work. Instead of trying to generate images directly (which is incredibly complex), diffusion models take a roundabout approach that's surprisingly effective:

  1. First, they learn to gradually destroy images by adding noise

  2. Then, they learn how to reverse that process to create new images

This counterintuitive approach has led to remarkable results, with diffusion models now producing state-of-the-art image quality that surpasses previous techniques like Generative Adversarial Networks (GANs) and Variational Autoencoders (VAEs). 3

The Two-Step Dance: Forward and Reverse Diffusion

Forward Diffusion: The Art of Destruction

In the training phase, diffusion models start with clear, high-quality images and systematically destroy them through a process called forward diffusion:

  1. The model begins with a clean training image

  2. It gradually adds Gaussian noise over multiple steps

  3. Eventually, the image becomes pure random noise with no discernible features

Think of this as the model learning how images break down when noise is added in a very controlled, step-by-step process. 5

Reverse Diffusion: Learning to Create

The magic happens when the model learns to reverse this destruction process:

  1. The model is trained to predict what noise was added at each step

  2. By accurately predicting this noise, it can subtract it from the noisy image

  3. When this process is repeated across multiple steps, the model learns to gradually transform random noise back into coherent images 1

During training, the model minimises the error between its predicted noise and the actual noise that was added during forward diffusion. This teaches it the complex patterns needed to reconstruct meaningful images from chaos. 7

From Text to Images: Guided Diffusion

Up to this point, we've only discussed unconditional diffusion – generating images without any specific prompt. But the real power comes with conditional diffusion (also called guided diffusion), where text prompts guide the image creation process. 7

How Text Guides the Denoising Process

When you enter a text prompt like "a serene lake at sunset with mountains in the background," here's what happens:

  1. Your text is converted into embeddings – numeric representations that capture semantic meaning

  2. These embeddings influence how the model removes noise at each step

  3. The text guidance helps the model decide which features to reveal during denoising

  4. This ensures the generated image aligns with your description6

Different models use various techniques to incorporate text guidance:

  • Self-attention guidance: Forces the model to pay attention to how specific parts of the prompt influence different regions of the image

  • Classifier-free guidance: Amplifies the effect of certain words in the prompt on the generation process7

Stable Diffusion 3: The Latest Innovation

Stable Diffusion 3, developed by Stability AI, represents the cutting edge of diffusion model technology. It employs:

  • Multimodal Diffusion Transformer (MMDiT): Uses separate sets of weights for image and language representations

  • Multiple text encoders: Utilizes three different text embedders (two CLIP models and T5) for better text understanding

  • Rectified Flow formulation: Creates straighter inference paths allowing for sampling with fewer steps

  • Flexible scaling: Available in various sizes from 800 million to 8 billion parameters4

According to human evaluations, Stable Diffusion 3 outperforms other state-of-the-art systems like DALL·E 3, Midjourney v6, and Ideogram v1 in typography and prompt adherence.4

DALL·E 2 and Beyond

DALL·E 2, developed by OpenAI, took a different approach:

  • Conditions the diffusion process with CLIP image embeddings rather than raw text embeddings

  • Uses a CLIP model trained on combined datasets

  • Employs an auxiliary model called a prior to bridge text and image embeddings6

The Latent Diffusion Innovation

One of the most significant breakthroughs came with latent diffusion models, which drastically reduced computational requirements:

  • Rather than running diffusion directly on pixel space (which is slow and expensive)

  • These models apply diffusion on the lower-dimensional latent space of a pre-trained autoencoder

  • The autoencoder then decodes the final image

  • This separation of compressive and generative learning phases allows for much greater efficiency 6 2

The Training Process: From Data to Generation

Training a diffusion model requires:

  1. Data collection: Large datasets of image-text pairs

  2. Forward diffusion simulation: Adding controlled noise to training images

  3. Training the denoiser: Teaching the model to predict and remove noise

  4. Conditioning mechanism: Training the model to respond to text guidance5

The trained model can then generate images through a process that reverses the noise addition:

  1. Start with pure random noise

  2. Apply text embeddings to guide the denoising process

  3. Iteratively remove noise across multiple steps

  4. Watch as recognizable features gradually emerge

  5. Continue until a complete, detailed image forms3

Real-World Applications

The impact of diffusion models extends far beyond creating fun images from text prompts:

  • Image editing and manipulation: Inpainting, outpainting, and controlled modification

  • Super-resolution: Enhancing low-resolution images

  • Style transfer: Applying artistic styles to photos

  • Medical imaging: Generating synthetic medical images for training and research

  • Drug design and molecule generation: Creating new molecular structures

  • Audio and video generation: Creating multimodal content57

These models are transforming industries from marketing and advertising to healthcare and scientific research.7

Key Takeaways

  • Diffusion models generate images by learning to reverse a noise-adding process, transforming random noise into coherent images

  • Text-to-image generation works by conditioning the diffusion process with text embeddings that guide how noise is removed

  • Latent diffusion models dramatically improve efficiency by operating in a compressed latent space rather than directly on pixels

  • State-of-the-art models like Stable Diffusion 3 and DALL·E 3 use sophisticated architectures like Multimodal Diffusion Transformers to achieve unprecedented image quality

  • Applications extend beyond art to industries including healthcare, scientific research, and content creation

Diffusion models represent one of the most significant breakthroughs in AI-generated content, democratizing access to high-quality image creation while pushing the boundaries of what's possible with generative AI. As these models continue to evolve, we can expect even more impressive capabilities to emerge, further blurring the line between human and AI creativity.

Citations:

  1. https://www.mathworks.com/help/deeplearning/ug/generate-images-using-diffusion.html

  2. https://encord.com/blog/stable-diffusion-3-text-to-image-model/

  3. https://assemblyai.com/blog/diffusion-models-for-machine-learning-introduction

  4. https://stability.ai/news/stable-diffusion-3-research-paper

  5. https://www.ibm.com/think/topics/diffusion-models

  6. https://tryolabs.com/blog/2022/08/31/from-dalle-to-stable-diffusion

  7. https://www.youtube.com/watch?v=x2GRE-RzmD8

  8. https://www.superannotate.com/blog/diffusion-models

  9. https://www.toptal.com/artificial-intelligence/advantages-of-ai-gpt-image-generation

  10. https://www.labellerr.com/blog/understand-the-tech-stable-diffusion-gpt-3-dall-e/

  11. https://www.machinelearningmastery.com/brief-introduction-to-diffusion-models-for-image-generation/

  12. https://arxiv.org/abs/2303.07909

  13. https://zapier.com/blog/stable-diffusion-vs-dalle/

  14. https://www.datacamp.com/tutorial/an-introduction-to-dalle3

  15. https://www.reddit.com/r/StableDiffusion/comments/16wy19u/why_dalle_3_is_great_for_stable_diffusion/

  16. https://zapier.com/blog/midjourney-vs-dalle/

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Aayushi Jain
Aayushi Jain