From 59c4a5441232c95b07c0f6102b1769703c8d1fa6 Mon Sep 17 00:00:00 2001 From: paul-loedige Date: Wed, 3 Feb 2021 14:48:36 +0100 Subject: [PATCH] =?UTF-8?q?Maschinelles=20Lernen=20hinzugef=C3=BCgt?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Content.tex | 3 +- chapters/Maschinelles Lernen/Einführung.tex | 118 ++++++++++++++++++++ images/Klassifikation.png | Bin 0 -> 14137 bytes images/definition_lernen.png | Bin 0 -> 46329 bytes images/fluch_der_dimensionalität.png | Bin 0 -> 40132 bytes images/generalisierung.png | Bin 0 -> 89164 bytes images/lernarten.png | Bin 0 -> 86315 bytes images/machine-learning-cheet-sheet.png | Bin 0 -> 111128 bytes images/n-fold_cross-validation.png | Bin 0 -> 91100 bytes images/regression.png | Bin 0 -> 14281 bytes images/train_test_split.png | Bin 0 -> 55531 bytes images/übersicht_ki.png | Bin 0 -> 49764 bytes images/übersicht_ki_einordnung.png | Bin 0 -> 136522 bytes parts/Maschinelles Lernen.tex | 4 + 14 files changed, 124 insertions(+), 1 deletion(-) create mode 100644 chapters/Maschinelles Lernen/Einführung.tex create mode 100644 images/Klassifikation.png create mode 100644 images/definition_lernen.png create mode 100644 images/fluch_der_dimensionalität.png create mode 100644 images/generalisierung.png create mode 100644 images/lernarten.png create mode 100644 images/machine-learning-cheet-sheet.png create mode 100644 images/n-fold_cross-validation.png create mode 100644 images/regression.png create mode 100644 images/train_test_split.png create mode 100644 images/übersicht_ki.png create mode 100644 images/übersicht_ki_einordnung.png create mode 100644 parts/Maschinelles Lernen.tex diff --git a/Content.tex b/Content.tex index a01deb7..50a9a29 100644 --- a/Content.tex +++ b/Content.tex @@ -5,4 +5,5 @@ \input{parts/Agenten.tex} \input{parts/Problemlösen durch Suchen.tex} \input{parts/Optimierung.tex} -\input{parts/Logik.tex} \ No newline at end of file +\input{parts/Logik.tex} +\input{parts/Maschinelles Lernen.tex} \ No newline at end of file diff --git a/chapters/Maschinelles Lernen/Einführung.tex b/chapters/Maschinelles Lernen/Einführung.tex new file mode 100644 index 0000000..4e44e87 --- /dev/null +++ b/chapters/Maschinelles Lernen/Einführung.tex @@ -0,0 +1,118 @@ +\chapter{Einführung} +\label{ml: einfuehrung} + Allgemein geht es beim maschinellen Lernen darum eine Abbildung $h$ zu erlernen, die auf Basis von Eingabedaten Vorhersagen trifft. + Zum erstellen (bzw. erlernen) von $h$ gibt es zwei Möglichkeiten: + \begin{enumerate} + \item \textbf{Offline Learning:}\\ + $h$ wird auf der Basis von Trainingsdaten angelernt. + Sobald $h$ ausreichend gute Vorhersagen trifft wird es unverändert eingesetzt. + \item \textbf{Online Learning:}\\ + Die durch Offline Learning erstellte Abbildung $h$ entwickelt sich auf den Produktivdaten weiter. + \end{enumerate} + + \section{Was ist Lernen?} + \label{was ist lernen} + Um zu verstehen, was ein lernender Agent (\ref{learning agent}) tut muss zunächst einmal definiert werden, was Lernen überhaupt bedeutet. + Meyers großes Handlexikon definiert \say{Lernen} als:\\ + \includegraphics[width = \textwidth]{definition_lernen.png} + + \subsection{Arten des Lernen} + \label{arten des lernen} + \includegraphics[width = \textwidth]{lernarten.png} + + \subsection{Formen des Lernen} + \label{formen des lernen} + \begin{itemize} + \item \textbf{Informationsbasiertes Lernen:} + \begin{itemize} + \item Welche Merkmale sind am informativsten? + \item Standardalgorithmen: Entscheidungsbäume + \end{itemize} + \item \textbf{Ähnlichkeitsbasiertes Lernen:} + \begin{itemize} + \item Welche bekannten Instanzen sind der Unbekannten am ähnlichsten? + \item Standardalgorithmus: K-Nächste-Nachbarn + \end{itemize} + \item \textbf{Wahrscheinlichkeitsbasiertes Lernen:} + \begin{itemize} + \item Was ist die wahrscheinlichste Vorhersage, die wir treffen sollten? + \item Standardalgorithmus: Naiver Bayes + \end{itemize} + \item \textbf{Fehlerbasiertes Lernen:} + \begin{itemize} + \item Welche Parameter müssen angepasst werden, um den Fehler zu verringern? + \item Standardalgorithmus: Multiple lineare Regression + \end{itemize} + \end{itemize} + + \section{Übersicht über die Welt der \ac{KI}} + \label{ml: uebersicht} + \includegraphics[width = \textwidth]{übersicht_ki.png} + + \subsection{Einordnung} + \label{ml: uebersicht: einordnung} + \includegraphics[width = \textwidth]{übersicht_ki_einordnung.png} + + \section{Aufgaben des \acl{ML}} + \label{ml: aufgaben} + Mögliche Aufgaben für die \ac{ML} eingesetzt wird, sind: + \begin{itemize} + \item \textbf{Klassifikation}:\\ + \includegraphics[width = .4\textwidth]{Klassifikation.png} + \item \textbf{Regression:}\\ + \includegraphics[width = .4\textwidth]{regression.png} + \item \textbf{Transkription:}\\ + Daten werden in einen Text umgeschrieben (z.B. Spracherkennung, Texterkennung) + \item \textbf{Maschinelle Übersetzung:}\\ + z.B. Deepl + \item \textbf{Anomalieerkennung} + \end{itemize} + + \section{Leistungsbewertung} + \label{ml: leistungsbewertung} + siehe Zusammenfassung ML + + \section{Generalisierung} + \label{ml: generalisierung} + Bei ML-Problemen handelt es sich um \say{ill-posed problems} - also Probleme, die eigentlich gar nicht wirklich gelöst werden sollen -. + So soll ein Klassifizierer beispielsweise nicht die perfekte Lösung für die Trainingsdaten liefern, sondern lediglich eine \textbf{generalisierte} Lösung erstellen, + die auch unbekannte Daten gut klassifiziert.\\ + \includegraphics[width = \textwidth]{generalisierung.png} + + \section{Hypothesenraum} + \label{ml: hypothesenraum} + Der Hypothesenraum ist die Menge an Funktionen, die ein \ac{ML}-Algorithmus als mögliche Lösung wählen kann. + Der Hypothesenraum wird durch die Modellklasse (z.B. linearer Klassifikator) begrenzt. + Durch die Größe des Hypothesenraums wird die \textbf{Modellkapazität kontrolliert}. + + \section{Fluch der Dimensionalität} + \label{ml: dimensionalitaet} + \includegraphics[width = \textwidth]{fluch_der_dimensionalität.png} + + \section{Trainings- und Testdaten} + \label{ml: trainings- und testdaten} + Um der Gefahr von Overfitting vorzubeugen ist es sinnvoll den vorhandenen \say{gelabelten} Datensatz aufzuteilen. + Eine übliche Aufteilung ist 80\% Trainingsdaten und 20\% Testdaten. + Von den Trainingsdaten werden bei vielen Modellerstellungen noch einmal 20\% für die Validierung während des Trainings abgespalten. + Bei dem Splitten der Daten muss darauf geachtet werden, dass das Datenverhältnis in den Splits dem Gesamtdatensatz entspricht. + D.h. z.B. das sortierte Daten vor dem splitten gemischt werden müssen\\ + \includegraphics[width = .8\textwidth]{train_test_split.png} + + \subsection{N-fold Cross-Validation} + \label{ml: n-fold cross-validation} + Um sicherzustellen, dass die Daten in den Trainings- und Validierungs-Splits repräsentativ für den Gesamttrainingsdatensatz sind, + wird der Gesamttrainingsdatensatz in mehrere \say{Folds} unterteilt. + Anschließend wird der Algorithmus mehrmals ausgeführt, wobei jeweils andere Folds die Trainings bzw. Validierungsdaten darstellen. + Die Anzahl der Folds wird über einen Parameter $N$ bestimmt, weshalb dieses Verfahren \say{$N$-Fold Cross-Validation} heißt.\\ + \includegraphics[width = .8\textwidth]{n-fold_cross-validation.png} + + \section{Hyperparameter} + \label{ml: hyperparameter} + \say{Hyperparameter} sind Parameter, die das Verhalten des Algorithmus bestimmen. + Diese Parameter müssen vor Ausführung des Algorithmus festgelegt werden. + Ein typisches Beispiel für einen Hyperparameter ist die Anzahl der zu erreichenden Cluster. + Dieser Hyperparameter muss vielen Clustering-Algorithmen übergeben werden. + + \section{Auswahl des \ac{ML}-Algorithmus} + \label{ml: algorithmus-auswahl} + \includegraphics[width = \textwidth]{machine-learning-cheet-sheet.png} \ No newline at end of file diff --git a/images/Klassifikation.png b/images/Klassifikation.png new file mode 100644 index 0000000000000000000000000000000000000000..6c2e51878ab04b7d341018e1273e046983d154ac GIT binary patch literal 14137 zcmW+-cRbbo7r&LAWM^e%udM9t+I#O!nUT!wD>Ac_y%IuZWD~LjX>O>g+G^K-Gu)tElv3#5P}FLq_nP2 z=ASHYQzE0I9cFPl;smzbkBS7knwrGUw2j(RQHNID7*5jO-3tm6X7i12^h}%R^-W1e zNX(E`!8paiET<#Mb;Kn%Lo^emc=`U)?EC%B!jw^Evb*{F3^PZy;V3&^`1xP)qi@d@ zxp8k%@Y`$R+2*5<Z!vy4I5^N5quJ%b#iAu;WH{N_B&DY-*U~CW^I?ul zG05cYWVp7T9Pir5%ZI;yjW_y}g*ui*>sA61iG26&omk-cXAQ@Dx$7PL_==vMhcB^- znAFle*2fB4m+D9F4^gS!;*r9y^*h@B@4x>7&i)j5q)YqA+J=UTxrmmC);u!=LdrSsL@fB*i$+t5dBb-dv+ zJN?-m{qiN6iHS+R?MSY&C0VwZZ}rEI+Y3$JXM^mrye|Wk@X_EFR8&;p-$W)#heolo zvk&z48rIqq(9KPbj>2&-j*jN_%VXwzIo|K%i)~cn@&CH~SJ15Ol2WN0K6M zn6|u_oS5*~{n^d-w7#-(WPE(QySp16TW4oMaj~ME8c~5IeZtyIl?{CY79uz?kx<5V zjgx_q@y|?Efh&ulvU30N?((`vW7Pa39v%lr$NvBRd+O}0s-hz5e_Yw0&LrP~gM*Wp zm{|Mi(+$M+Q~jFAdV?!-1q)uCo}RKfrN8~d zR-~R)U0?sC$`G!|b+Pr=u8*@o2ENinPFFigJs`Iw76f>gp;V8Sa7G zx6jYumxHNedX~F;dd^Nxv`Ta}G&JyD?XUC^O-7HJ{BRS34@9cukts3|(v9MYi;LIP z)T|C=D9|T3J3EVsi|bAC-@y5|_e%xuRgGl_v^54EmA$jG|IxM?ya9W#)#ti8ulC>@ z$lEg9v{;WHKi1dNTlyFxUvTkn-c?IWD>5?j!?$lr?fAR@{>;CA{aQ90_XZ-k!;-_W z^2gU$N`Hx*ZtD_rvPVVmxgS0_{vJ$=DzB@mswyrnF1&up(c9@~2J8oF0Zwm`S7l+dZ73QP%wG$J%Br0R)YwQZ8EE?7U-!d}$+vIGsL*pHgVYN~<9kv%EWbh3wGdNMMmLw-Kw#ay zo2nyYm%Bk-R#wI#D0uHanhp!Gf`Wpd-G+?uUf zTU$#`PS(hgNa$M`FVZkEGNLmG2nf*8)`r^h^zeY|OH+NX$uiTuxU;h}H#Y}`1pm#? z&xi8+_s{FV(bx9`VCu<#nZhp)?AQJ3W@Zcn0xrUC-|Ig$+y36dPK=WDVal9Cc!Ya%nnvuDqUaqQq%Jw#e8+5&}MCXkaHy$uNo$;->*#+AiiSz3CwHbO@h z&d$z$cyN#{?)To>>XZ;4%}UbZvl|^NYe{P>wV%0`hlhu*uC8g5*U-X3mVCh-3Vy7} zk8}+agK2!zWk#U|!XZ-eX=x3fn^V#E9!^b8T0Q*r>sKrp&rRRN*q9g!3JQh^9Ye$7 z($WE2-ZQvq%l6>8Ib*6Xy-~^}sw~9mX=!Gk-EM?iVWHluXPx%Y1kt9#o!5J;YwO{R zKf%Wd!^XzW&d!Do_~0tS$vHGX@3*(oN1vd$Hxw8cSgK#1_$d;ADUL>R@8mrDsnCl9 zmNeD6>guS-$b@r&hUcqzbxwVQgUNbiR4nf8r&6S~1Vcl2wyo$JtvbV@#?H^rp^B8LRlL2ttnb1H+7V*V_z>fw za$_k4(=#&WXJ(uiTeEtW=~gRD8{C(_-oZxS-`gX@{R$sD%C}bWb89Qcx zX>HNlF^z1oXV0ITd~zg7>WhhtRMOC(5r0t|)h#O(6T4<5FE1}ACwDY|aBv_*rLOT} zEDNeM=wj32p?Nbr$l2LhLyID=a!PXYyvOp`G1TG|dLLMI-s9dE(N$Jjxeh4QTTEqpYC;*L}H~6ZDSt?c29P&NJLw8Mn^n=3#94_y~RYNI{Fm#=%irSGOIA z9lit*f)Tp=qazgXV<<<`LQUp2ik6ImLL~6~I3^~BD-|#l@RZq3{AP&d>A^a5tX!#@ zvT~x1Kv%6SeZpJS_i=G?QI|GC;VBscE^~D*lrMbtR+RYoY5)y5P3q18M+tFG&(0oN zv{H$~J;p>tNZrjyPghk{#b30z!;S0h;Q{yJ0hixPhlP^K!*4M*GMXJ7m5#ShWMO4} z=HbE5!_zl3lu|^!5m`E zL-Pv@?X0cyQ&Usp;xqt$4J-n}DyY4^kL(8Cq$DQ;rhXq8ahs{M+8dY(IFX+HK~B$Q zT)XyPmgo%YA#kvVrk~@})7gCAloS?DGK$)#+DXH+XuTh<&17tB48$TfHn#K2m#=X& zL7P*Y9xZx9JpBC4zWac6Fuosc^RyKf{+g|Mk|PoD;?LYC;A%%xnQO-)t#xo>S(RdkJy@As#$AEO-;`W)}jrKt+=@QjX)8P`9}V#5@`p%WK3v#_|@UGCX4IGmLe zVAZ;i#4k$A9(wE@RA6XiL{3hwWPu%t)E4X^{gj`V7oy4(M=dTQEPS%km!z++-?GWM z{qtvHcD97)hVDvy=MslmV{L9OLP2kg44W}2Eo~iU^ycQ-?y`b#X(Bc%$2AtEWC>&h zs@41N_xpU0RsU*pqS@|~oD%Vo#Q=HxwX%XwAM^V4e}ImJgoN@jWL3{s)eZGB*02Lx zC%ZnEWpk&gii(Q*U-~&>Wef@M@jYNeQwazVx3+Y0aF}fiYU?+p*g5wh6vLQtt~ zeGEg&H9 zvNyM)f`*c^>B(?5jQybu!JvPESSYWp83IyLCSshRlV7R810SqfkxBR;yGcujq@|@r zM-S9Gj7!w?D0l0tZ~%(dyDlFm1;TpS!fr0n-w}wRaa;r(L$O3nNhSk@5R~%m{-ik!d0l0*O+-NMNzyz=Y0-Po8 z_YVkA)90@$*wr2NXTD_NC;pc(@GQyX@c{5x2_pem9i5ykfRxV6M0|^MMkq*(+t(_@ zQ3re_xVM-A6Z!Y=$Kv8GHa)My!oxp;9s#c7<>kf5$f!-KAYgiVakTguUGvW0?=7v1Bj@j43j4ggIoI(H%Z)G()Hy2gF5!VCbSeDwDH|?6<$tj^rYuehr z%gV}vmNqe=#O(yuOSzcQXZt24g-)=(w$|Rs>A{q%j*boxho~qV?387LN}w<>+R4I! zqqaCrbCHD)XNxxlT?MYUr8G4)rL!CA=n#25j|H@uTG013ZS_y5~` zcl*(voJ>q*H=H9G_lK;`b&)HMVQ6Rw3IraQm#l2(e7$SJ9|2olUnm>J9U6~il8mA6 zZ9$S01X!rt6n2CBizS#o40o4z*$wUN3bV5A<90$*>AY73b`3ZEt=1taxtk6vo!3s; z)RgM!jjla7W}2Y$XB{Z?&kuO4VDNU}jfLZq=cg-aNl6746&2x7Xp8s0;ihW#*}Z8- zXv<9&78bS_vDE`0{2PSESdCMt)2bbiFXU}#ktvVn7 zm+5

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Lernen.tex b/parts/Maschinelles Lernen.tex new file mode 100644 index 0000000..779808c --- /dev/null +++ b/parts/Maschinelles Lernen.tex @@ -0,0 +1,4 @@ +\part{\acf{ML}} +\label{ml} + +\input{chapters/Maschinelles Lernen/Einführung.tex} \ No newline at end of file