Diffusion models are currently one of the most powerful types of tools for generative tasks that require complex and local structures, such as image generation and molecular discovery. They’ve shown an exciting capability to generalize beyond their training data and, in this sense, exhibit “creativity”. For instance, after being trained with datasets of actual images, they can transform random noise samples into novel, high-quality images.While this creative capability is impressive, it raises an intriguing question: where does it come from? Understanding the answer to this question is an important step towards demystifying the “black-box” nature of diffusion-based generative AI.To that end, in "On the Interpolation Effect of Score Smoothing in Diffusion Models", presented at ICLR 2026, we dive into the mathematics of diffusion models to answer this question. We show that a model’s creativity isn’t a random fluke. Instead, it is a consequence of how neural network training naturally "smooths" the transformation from noise back to the data during the generation process.