diff --git a/_posts/2024-05-07-elaborating-on-the-value-of-flow-matching-for-density-estimation.md b/_posts/2024-05-07-elaborating-on-the-value-of-flow-matching-for-density-estimation.md index 96291f97..ec6d4a56 100644 --- a/_posts/2024-05-07-elaborating-on-the-value-of-flow-matching-for-density-estimation.md +++ b/_posts/2024-05-07-elaborating-on-the-value-of-flow-matching-for-density-estimation.md @@ -154,7 +154,7 @@ Assuming that the target vector field is known, the authors propose a loss function that directly regresses the time dependent vector field: $$ - L_{\textrm{FM}}(\theta) = \mathbb{E}_{t, p_t(x)}(|f\_{\theta}(x, t) - u_t(x)|^2), + L_{\textrm{FM}}(\theta) = \mathbb{E}_{t, p_t(x)}(|f_{\theta}(x, t) - u_t(x)|^2), $$ where $$u_t$$ is a vector field that generates $$p_t$$ and the expectation with