How to Smoothly Connect Data: Flows and Diffusions Made Simple

Imagine you want to turn one picture into another, but you can choose the path it takes. Researchers found a way to build flexible paths that link two sets of data exactly, in a set amount of time. These paths, called stochastic interpolants, mix pieces from both data sources and add a hidden twist that shapes how the change looks, and feels. You can make the journey calm, or add a bit of fuzzy movement by turning up the noise, or make it steady and smooth like a river using only flows. This idea gives tools to build models that create new examples from old ones, while also letting people control the model’s likelihood — basically how much the model trusts what it makes. It links ideas from flows and diffu…

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