Norm of x_i is smaller than 1

1 files changed, 2 insertions, 0 deletions

diff --git a/proof.tex b/proof.tex
index 9288ff2..e907518 100644
--- a/proof.tex
+++ b/proof.tex
@@ -27,6 +27,8 @@
     \item set of $n$ users $\mathcal{N} = \{1,\ldots, n\}$
     \item each user has a public vector of features $x_i\in\mathbf{R}^d$ and some
         undisclosed variable $y_i\in\mathbf{R}$
+    \item we assume that the data has been normalized: $\forall
+        i\in\mathcal{N}$, $\norm{x_i}\leq 1$
     \item \textbf{Ridge regression model:}
         \begin{itemize}
             \item $y_i = \beta^*x_i + \varepsilon_i$