Merge pull request #23 from slds-lmu/classif

classif updates
slds-lmu · Nov 11, 2024 · 139fb7a · 139fb7a
2 parents 5444386 + 2a5649a
commit 139fb7a
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diff --git a/basic-ml.tex b/basic-ml.tex
@@ -112,6 +112,8 @@
 
 % prior probabilities
 \newcommand{\pik}[1][k]{\pi_{#1}} % pi_k, prior
+\newcommand{\pih}{\hat{\pi}} % pi hat, estimated prior (binary classification)
+\newcommand{\pikh}[1][k]{\hat{\pi}_{#1}} % pi_k hat, estimated prior
 \newcommand{\lpik}[1][k]{\log \pi_{#1}} % log pi_k, log of the prior
 \newcommand{\pit}{\pi(\thetav)} % Prior probability of parameter theta
 
@@ -136,7 +138,8 @@
 
 % probababilistic
 \newcommand{\bayesrulek}[1][k]{\frac{\P(\xv | y= #1) \P(y= #1)}{\P(\xv)}} % Bayes rule
-\newcommand{\muk}{\bm{\mu_k}} % mean vector of class-k Gaussian (discr analysis)
+\newcommand{\muk}[1][k]{\bm{\mu_{#1}}} % mean vector of class-k Gaussian (discr analysis)
+\newcommand{\mukh}[1][k]{\bm{\hat{\mu}_{#1}}} % estimated mean vector of class-k Gaussian (discr analysis)
 
 % residual and margin
 \newcommand{\eps}{\epsilon} % residual, stochastic

diff --git a/latex-math.pdf b/latex-math.pdf