From 181e9c9f7bae7d72d345f61fcd0e7b20664654fc Mon Sep 17 00:00:00 2001 From: RobinB27 Date: Sun, 26 Jul 2026 16:53:51 +0200 Subject: [PATCH] [PS] examples --- semester4/ps/ps-rb/main.pdf | Bin 453958 -> 458615 bytes semester4/ps/ps-rb/main.tex | 7 ++-- semester4/ps/ps-rb/parts/00_prereq.tex | 9 +++++- semester4/ps/ps-rb/parts/03_expectation.tex | 25 +++++++++++++-- .../ps/ps-rb/parts/04_joint-distributions.tex | 30 ++++++++++++------ semester4/ps/ps-rb/parts/06_limits.tex | 6 +++- semester4/ps/ps-rb/parts/07_stats.tex | 8 +---- semester6/iml/main.pdf | Bin 814592 -> 814495 bytes semester6/iml/parts/04_networks.tex | 9 ++++-- 9 files changed, 69 insertions(+), 25 deletions(-) diff --git a/semester4/ps/ps-rb/main.pdf b/semester4/ps/ps-rb/main.pdf index 7d0d5cc350d3d505b30d286de445202f2f48be91..359fd78ce52298fe15204049e9be9f0f6ad708cf 100644 GIT binary patch delta 169049 zcmV(zK<2;3+8g)&8;~RfH8L|bmvMptD3gDY1%Ekqe)q4SlNYLX*weV9?Ko9Z)|#5F 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Tassion, Slides von E.W. Farkas (FS26)} +\subtext{ + Basiert auf dem Skript von V. Tassion, Slides von E.W. Farkas (FS26) + Die letzten 2 Seiten (Tabellen) auf einer Seite drucken. (10S. limit) +} \input{parts/00_prereq.tex} \newpage @@ -24,7 +27,7 @@ \input{parts/04_joint-distributions.tex} \newpage -\section{Erwartungswert} +\section{Charakterisierung} \input{parts/03_expectation.tex} \newpage diff --git a/semester4/ps/ps-rb/parts/00_prereq.tex b/semester4/ps/ps-rb/parts/00_prereq.tex index 7d04a67..b5fb6c6 100644 --- a/semester4/ps/ps-rb/parts/00_prereq.tex +++ b/semester4/ps/ps-rb/parts/00_prereq.tex @@ -11,4 +11,11 @@ $$ \binom{n}{k} := \frac{n!}{k!\cdot(n-k)!} $$ -% Integrationsmethoden, Integraltabelle \ No newline at end of file +\method \textbf{Partielle Integration}\\ +\subtext{$aY6+s1Z&_pe~iLrbk=qL>S20DGlp<+;zr)gJmx)v=#B4S=tk+Q7(`tCg!U}m@hf)eezFCqvH2Xoo8FW>YH`F#A`Kub5^nGO>_PZ zACn9xpUhxDMWt;|KX04$m2Jj#(2T20RwcAHt*DL)7`OZPQ+TWp)14WMkkj+c>iTv! z-!+@H`%kl~?Nzh2O}4vcxpcjM=0UHF>ntyr@A(HeG#NB0GoH62`zXGGt83Wo3yZoIP zyM$#Z!!FHo&A2Y7UlJo=uxy3yW-AoA9+gnXP{VO6B8OI_+ihM2z1aUxXMnas4xScyl?@LBr=$GpU}{?Kf9^YyvoWt&TTd%Iat^QeFo3%O6D$y9hq$3^ak 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is the activation fu \end{tabular} \end{center} +{\footnotesize + \remark \textbf{Derivative of Sigmoid} $\quad \sigma(x)' = \sigma(x)\cdot (1-\sigma(x))$ +} + +\newpage + \definition \textbf{Artificial Neural Network}\\ \subtext{The output functions of the above problem take the form:} $$ @@ -47,7 +53,6 @@ $$ \remark Also called Multi-Layer Perceptron (MLP) } -\newpage \textbf{What is happening here?}\\ \smalltext{Explaining the calculation steps for such an $f$ naturally leads to the common pictorial depiction of neural networks.} \begin{align*}