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4 changes: 2 additions & 2 deletions topics/optimisation.tex
Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
% Emacs, this is -*-latex-*

\ex{Gradient of vector-valued functions}
\ex{Gradient of real-valued multivariate functions}
\label{ex:grad-vector}
For a function $J$ that maps a column vector $\w \in \mathbb{R}^n$ to $\mathbb{R}$, the gradient is defined as
\begin{equation}
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% --------------------------------------------------

\ex{Gradient of matrix-valued functions}
\ex{Gradient of real-valued functions on matrices}
\label{ex:grad-matrix}
For functions $J$ that map a matrix $\W \in \mathbb{R}^{n\times m}$ to $\mathbb{R}$, the gradient is defined as
\begin{equation}
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