From b105d1d99e81f32747c25d611df2de69b30f9bc9 Mon Sep 17 00:00:00 2001 From: Chin-Yun Yu Date: Mon, 15 Apr 2024 14:11:19 +0000 Subject: [PATCH] add missing partial --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 9128013..a284913 100644 --- a/README.md +++ b/README.md @@ -63,7 +63,7 @@ $$ ### Gradients for the initial condition $`y_t|_{t \leq 0}`$ The initial conditions provide an entry point at $t=1$ for filtering, as we cannot evaluate $t=-\infty$. -Let us assume $`A_{t, :}|_{t \leq 0} = 0`$ so $`y_t|_{t \leq 0} = x_t|_{t \leq 0}`$, which also means $`\frac{\partial \mathcal{L}}{y_t}|_{t \leq 0} = \frac{\partial \mathcal{L}}{x_t}|_{t \leq 0}`$. +Let us assume $`A_{t, :}|_{t \leq 0} = 0`$ so $`y_t|_{t \leq 0} = x_t|_{t \leq 0}`$, which also means $`\frac{\partial \mathcal{L}}{\partial y_t}|_{t \leq 0} = \frac{\partial \mathcal{L}}{\partial x_t}|_{t \leq 0}`$. Thus, the initial condition gradients are $$