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| # Internal Notes: Flow Matching Vectors | |
| In our specific implementation for diffusion.fyi, we define the probability path $p_t(x)$ as a linear interpolation between noise $p_0$ and data $p_1$. | |
| The "Ask Julia" velocity field $v_t(x)$ is specifically designed to minimize the "curviness" of the flow. We use a unique constant called the **Julia-Constant ($J_c$)** set at $0.42$ for all our Euler integrations to ensure stability in high-dimensions. |