From 65660020210196b4302fdd6bc0d524ccc2c4cf48 Mon Sep 17 00:00:00 2001
From: ludwigbothmann <46222472+ludwigbothmann@users.noreply.github.com>
Date: Mon, 30 Oct 2023 14:34:15 +0100
Subject: [PATCH] removed misaligned characters

---
 slides/advriskmin/slides-advriskmin-risk-minimizer.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/slides/advriskmin/slides-advriskmin-risk-minimizer.tex b/slides/advriskmin/slides-advriskmin-risk-minimizer.tex
index 6f9bd8e6..8596204e 100644
--- a/slides/advriskmin/slides-advriskmin-risk-minimizer.tex
+++ b/slides/advriskmin/slides-advriskmin-risk-minimizer.tex
@@ -120,7 +120,7 @@
 \begin{frame}[t]{optimal point-wise predictions}  
 
 To derive the risk minimizer, observe that by the law of total expectation 
-$$    \risk_L(f) &=& \E_{xy} \left[\Lxy\right] 
+$$    \risk_L(f) = \E_{xy} \left[\Lxy\right] 
     = \E_x \left[\E_{y|x}\left[\Lxy~|~\xv = \xv\right]\right].$$
 
 \begin{itemize}