From e5f953d02755fe8d2902f9e7dca1b69ed0a1e8b1 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Radek=20Pu=C5=A1?= <pusradek@fit.cvut.cz>
Date: Wed, 22 Jan 2020 04:35:14 +0100
Subject: [PATCH] Latex - Quality test

---
 Latex/BP_Radek_Pus_2019.pdf | Bin 1922603 -> 1803811 bytes
 Latex/BP_Radek_Pus_2019.tex | 193 ++++++++++++++++++++++++++++++++----
 2 files changed, 172 insertions(+), 21 deletions(-)

diff --git a/Latex/BP_Radek_Pus_2019.pdf b/Latex/BP_Radek_Pus_2019.pdf
index ed40178cd798a9b58cc4201c2d3cd6a0f9de12b8..40d820ebbcf8b42a3d052c3a3c655f63a22ada97 100644
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diff --git a/Latex/BP_Radek_Pus_2019.tex b/Latex/BP_Radek_Pus_2019.tex
index d754601..831f689 100644
--- a/Latex/BP_Radek_Pus_2019.tex
+++ b/Latex/BP_Radek_Pus_2019.tex
@@ -18,6 +18,7 @@
 \usepackage{amsmath}
 \usepackage{hyperref}
 \usepackage{textgreek}
+\usepackage{array, multirow}
 % \usepackage{amssymb} %additional math symbols
 
 \usepackage{dirtree} %directory tree visualisation
@@ -41,7 +42,7 @@
 \authorWithDegrees{Radek Puš} %jméno autora včetně současných akademických titulů
 \author{Radek Puš} %jméno autora bez akademických titulů
 \supervisor{Ing. Miroslav Balík, Ph.D.}
-\acknowledgements{Děkuji společnosti Trask Solutions a.s., zejména pak Ing. Petru Hnízdilovi a Ing. Pavlu Svobodovi,  za veškeré konzultace a datové podklady k práci. Dále děkuji své přítelkyni Mariyi Tsanko, za dodání doplňujících dat ze svých bankovních účtů a svým rodičům, za veškerou podporu při psaní práce}
+\acknowledgements{Děkuji společnosti Trask Solutions a.s., zejména pak Ing. Petru Hnízdilovi a Ing. Pavlu Svobodovi,  za veškeré konzultace a datové podklady k práci. Dále děkuji své přítelkyni Mariyi Tsanko, za dodání doplňujících dat ze svých bankovních účtů, PaeDr. Jiřině Mališové za korekturu anglicky psaného abstraktu a svým rodičům, za veškerou podporu při psaní práce}
 \abstractCS
 {V Bakalářské práci byl řešen problém předpovídání budoucích transakcí klientovi, na základě jeho uplynulé finanční historie. Cílem práce je pokusit se implementovat toto předvídání pomocí umělé inteligence spolu s vytvořením webového rozhraní. Toho bylo dosaženo pomocí  Angularu, tvořícího klientskou aplikaci, frameworkem .NET Core, který tuto aplikaci obsluhuje ve spojení s databází Microsoft SQL. Zabezpečení využívá JWT tokenu a o šifrování uživatelských hesel se stará RFC~2898/SHA512. Umělá inteligence byla řešena jako lineární regrese.
 
@@ -752,27 +753,178 @@ Jednou z podmínek práce je, aby byla aplikace responsivní. Tedy, že web bere
  	\label{responsivityComparsion}
 \end{figure}
 
-%TODO ============================================
-\section{Testování kvality - TODO dodělat}
-Pro testování kvality práce bylo využito výpisu transakční historie, která byla oříznuta o jeden měsíc a porovnána s historií původní. Tím vznikl obraz, nakolik jsou jednotlivé předpovědi přesné.
-
-\subsection{Odhad neuronovou sítí}
-\begin{enumerate}
-	\item tabulka: (5 vs 14, 1x Å¡patnÄ›)
-\end{enumerate}
-
-\subsection{Odhad průměrem}
-\begin{enumerate}
-	\item line:
-	\item dny:
-\end{enumerate}
+\section{Testování kvality}
+Pro testování kvality práce bylo využito výpisu transakční historie z vlastního účtu, která byla oříznuta o jeden měsíc a porovnána s historií původní. Tím vznikl obraz, nakolik jsou jednotlivé předpovědi přesné.
+
+Vlastní historie byla vybrána v časovém úseku od 1.1.2019 do 31.8.2019 a byla porovnávána s následujícími 28 dny. Dalším důvodem bylo to, že své vlastní transakce znám a to umožňuje lepší náhled na to, které předpovědi jsou špatně a které dobře. Daný úsek byl zase vybrán z toho důvodu, že jsem se v tu dobu choval podobně (náhlá změna chování by nepříznivě ovlivnila výsledky). 
+
+\subsection{Předpověď opakujících se transakcí}
+Opakující se transakce jsou vyhodnocovány pomocí posledních dvou týdnů nahrané historie. Tyto týdny určí, jak se bude uživatel chovat později.
+
+Vyhodnocení, které transakce se opakují a které nikoli, je velmi individuální. Pro testy byly vybrány ty částkou si blízké a jsou zobrazeny níže (spolu s tabulkou veškerých provedených transakcí)
+\newline \newline
+\hspace*{-1cm}
+\begin{tabular}{|c |c |c |c|}
+	\hline
+	\multicolumn{4}{|c|}{Provedené transakce (částky v Kč)} \\\hline
+	1. týden & 2. týden & 3. týden & 4. týden \\\hline
+	15,00 & 15,00 & 15,00 & 15,00 \\\hline
+	100,00 & 43,00 & 25,20 & 15,00 \\\hline
+	118,00 & 70,30 & 88,00 & 15,00 \\\hline
+	123,00 & 86,00 & 90,00 & 80,00 \\\hline
+	180,00 & 113,00 & 95,00 & 120,00 \\\hline
+	248,00 & 119,00 & 140,00 & 120,00 \\\hline
+	250,00 & 124,00 & 159,00 & 135,00 \\\hline
+	280,00 & 250,00 & 159,90 & 135,00 \\\hline
+	465,00 & 347,60 & 180,00 & 154,00 \\\hline
+	500,00 & 857,70 & 250,00 & 239,00 \\\hline
+	580,00 & 1302,00 & 556,00 & 250,00 \\\hline
+	1146,00 &  & 1000,00 & 500,00 \\\hline
+	1470,00 &  & 1596,74 &  \\\hline
+\end{tabular}
+\hspace{0.25cm}
+\begin{tabular}{|c |c |c |c|}
+	\hline
+	\multicolumn{4}{|c|}{Transakce které se opakují (částky v Kč)} \\\hline
+	1. týden & 2. týden & 3. týden & 4. týden \\\hline
+	15 & 15 & 15 & 15 \\\hline
+	100 & 86 & 88 & 80 \\\hline
+	118 & 113 & 95 & 120 \\\hline
+	123 & 119 & 140 & 135 \\\hline
+	180 & 124 & 159 & 135 \\\hline
+	250 & 250 & 250 & 250 \\\hline
+	465 & 347,60 & 556 & 500 \\\hline
+\end{tabular}
+\newline \newline
+
+Pro tabulku předpovědí je však nutné dodat, že částka 250,00 Kč se začala objevovat až od 1.9.2019. Tato částka tvoří pomyslnou změnu chování uživatele a přestože je později v tabulkách s daty uvedena, nebyla uvažována jako špatná předpověď, vzhledem k tomu, že algoritmy neměly dostatečná data k jejím předpovězení.
+
+\subsubsection{Předpověď neuronovou sítí}
+Neuronová síť dokázala předpovědět čtyři transakce a dvě vynechala. To je ekvivalentem 66,7\%, tedy nadpoloviční většina.
+\newline \newline
+\begin{tabular}{|c |c |c |c ||c|}
+	\hline
+	\multicolumn{5}{|c|}{Predikce neuronovou sítí (hodnoty v Kč)} \\\hline
+	1. týden & 2. týden & 3. týden & 4. týden & predikce \\\hline
+	15,00 & 15,00 & 15,00 & 15,00 & 19,00 \\\hline
+	100,00 & 86,00 & 88,00 & 80,00 & \\\hline
+	118,00 & 113,00 & 95,00 & 120,00 & 120,00 \\\hline
+	123,00 & 119,00 & 140,00 & 135,00 & \\\hline
+	180,00 & 124,00 & 159,00 & 135,00 & 148,50 \\\hline
+	250,00 & 250,00 & 250,00 & 250,00 & \\\hline
+	465,00 & 347,60 & 556,00 & 500,00 & 420,00 \\\hline
+\end{tabular}
+
+Nevyplněná pole v tabulce (sloupec predikce) označují, v kterých případech se neuronové síti nepodařilo předpovědět opakování transakcí. Naopak částky označují odhadovanou velikost.
+
+\subsubsection{Předpověď porovnáním částky}
+Předpovídání opakujících se transakcí na základě částky bylo méně úspěšné, než předvídání neuronovou sítí. Tento algoritmus sice byl schopen předpovědět všechny opakující se transakce, avšak uvedl dalších pět transakcí, jež se zřejmě neopakovaly.
+
+Celková úspěšnost předpovědi byla stanovena jen jako 16,67\%. Tato hodnota byla stanovena tak, že se každá špatná předpověď odečetla od předpovědi správné. Bylo šest opakujících se transakcí a pět špatně předpovězených. Výsledek proto byl spočten následovně: \mbox{6-5/6 = 0,1667}
+\newline \newline
+\begin{tabular}{|c |c |c |c ||c|}
+	\hline
+	\multicolumn{5}{|c|}{Předpověď porovnáním částky (hodnoty v Kč)} \\\hline
+	1. týden & 2. týden & 3. týden & 4. týden & predikce \\\hline
+	15,00 & 15,00 & 15,00 & 15,00 & 15,00 \\\hline
+	& & & & 15,00 \\\hline
+	& & & & 15,00 \\\hline
+	& & & & 19,00 \\\hline
+	100,00 & 86,00 & 88,00 & 80,00 & 82,70 \\\hline
+	118,00 & 113,00 & 95,00 & 120,00 & 100,00 \\\hline
+	123,00 & 119,00 & 140,00 & 135,00 & 133,00 \\\hline
+	180,00 & 124,00 & 159,00 & 135,00 & 138,00 \\\hline
+	& & & & 146,90 \\\hline
+	& & & & 148,50 \\\hline
+	250,00 & 250,00 & 250,00 & 250,00 & \\\hline
+	465,00 & 347,60 & 556,00 & 500,00 & 420,00 \\\hline
+\end{tabular}
+\newline \newline
+
+V přiložené tabulce lze, obdobně jako v předcházející sekci, ve sloupci predikce vidět, jaké částky byly odhadovány. Řádky s nevyplněnými poli v jednotlivých týdnech potom ukazují, které hodnoty byly předvídány jako opakují se, ač tomu tak nebylo.
+
+\subsection{Předpověď velikosti výdajů}
+Predikce výdajů představuje odhad kumulativní částky všech transakcí pro budoucí dny a to na základě průměru ze všech nahraných dat. Neuvažují tedy pouze opakující se transakce.
+\newpage
+\subsubsection{Předpověď na následující čtyři týdny}
+Odhad na následující čtyři týdny obsahuje 28 položek, přičemž každou položku lze považovat za samostatný text.
 
-\subsection{Odhad částkou}
-\begin{enumerate}
-	\item tabulka:
-	\item druh:
-\end{enumerate}
+Úspěšnost vyhodnocení byla rozdělena na částku a množství transakcí. Odhad částky se povedl pouze u jedné čtvrtiny všech dnů, tedy rovných 25\%. Pro množství transakcí k danému dni byl výsledek lepší. V tomto případě se povedlo odhadnout jedenáct dnů správně, tzn. 39,29\%. Kumulativní úspěšnost předpovědi je pak rovna 32,14\%.
+\newline \newline
+\newcommand{\breakcell}[2]{
+  \vbox{\setbox0\hbox{\strut #2}\hbox to\wd0{\hss\strut #1\hss}\copy0}
+}
+\begin{tabular}{|c |c |c |c |c |c |c |c|}
+	\hline
+	\multicolumn{7}{|c|}{Předpověď na následující čtyři týdny} \\\hline
+	\multirow{3}{*}{Den} & \multicolumn{2}{c|}{Test} & \multicolumn{2}{c|}{Odhad} & \multicolumn{2}{c|}{Správně} \\
+	& \breakcell{útrata}{(v Kč)} & \breakcell{počet}{transakcí} & \breakcell{útrata}{(v Kč)} & \breakcell{počet}{transakcí} & \raisebox{0.5em}{útrata} & \breakcell{počet}{transakcí}\\\hline
+	1 & 0,00 & 0 & 284,10 & 1,00 & ne & ne\\\hline
+	2 & 0,00 & 0 & 1381,16 & 1,67 & ne & ne\\\hline
+	3 & 1646,00 & 2 & 252,82 & 1,38 & ne & ano \\\hline
+	4 & 963,00 & 3 & 147,96 & 1,56 & ne & ne \\\hline
+	5 & 133,00 & 2 & 352,78 & 2,13 & ne & ano \\\hline
+	6 & 1930,00 & 3 & 373,97 & 2,40 & ne & ano \\\hline
+	7 & 803,00 & 3 & 476,00 & 1,20 & ne & ne \\\hline
+	8 & 347,60 & 1 & 312,00 & 2,17 & ano & ne \\\hline
+	9 & 2159,70 & 2 & 2559,11 & 2,20 & ano & ano \\\hline
+	10 & 70,30 & 1 & 688,84 & 2,40 & ne & ne \\\hline
+	11 & 503,00 & 4 & 194,21 & 2,13 & ne & ne \\\hline
+	12 & 113,00 & 1 & 481,39 & 2,00 & ne & ne \\\hline
+	13 & 134,00 & 2 & 352,55 & 2,50 & ne & ano \\\hline
+	14 & 0,00 & 0 & 274,36 & 2,17 & ne & ne\\\hline
+	15 & 646,00 & 2 & 162,80 & 2,80 & ne & ano \\\hline
+	16 & 1180,00 & 2 & 119,44 & 2,33 & ne & ano \\\hline
+	17 & 1596,74 & 1 & 286,05 & 1,00 & ne & ano \\\hline
+	18 & 409,90 & 2 & 288,41 & 2,00 & ano & ano \\\hline
+	19 & 95,00 & 1 & 231,05 & 3,00 & ne & ne \\\hline
+	20 & 299,00 & 2 & 276,09 & 2,86 & ano & ano \\\hline
+	21 & 128,20 & 3 & 225,56 & 3,00 & ano & ano \\\hline
+	22 & 610,00 & 4 & 192,30 & 2,00 & ne & ne \\\hline
+	23 & 0,00 & 0 & 512,50 & 2,67 & ne & ne\\\hline
+	24 & 393,00 & 2 & 542,50 & 1,00 & ano & ne \\\hline
+	25 & 370,00 & 2 & 183,05 & 3,67 & ne & ne \\\hline
+	26 & 150,00 & 2 & 553,63 & 4,00 & ne & ne \\\hline
+	27 & 135,00 & 1 & 140,68 & 3,20 & ano & ne \\\hline
+	28 & 120,00 & 1 & 3229,67 & 3,00 & ne & ne \\\hline
+\end{tabular}
+\newpage
+\subsubsection{Předpověď na jednotlivé dny v týdnu}
+
+Předpověď množství transakcí a jejich počtu vychází z průměru jednotlivých dnů. Tato předpověď byla postupně porovnána s následujícími třemi týdny. Celkovvou výši transakcí i jejich počet lze vidět v tabulkách uvedených níže. Zároveň je zde uvedena tabulka, která ukazuje, který odhad byl považován ještě za správný a který nikoli.
+\newline \newline
+\begin{tabular}{|c |c |c |c |c |c |c |c |c|}
+	\hline
+	\multicolumn{9}{|c|}{Předpověď na týden (částka v Kč)} \\\hline
+	\multirow{2}{*}{Den} & \multicolumn{2}{c|}{Odhad} & \multicolumn{2}{c|}{Test 1} & \multicolumn{2}{c|}{Test 2} & \multicolumn{2}{c|}{Test 3} \\
+	    & částka & počet & částka & počet & částka & počet & částka & počet \\\hline
+	 Po & 237,80 & 1,09 & 0,00 & 0 & 2 159,00 & 2 & 1 180,00 & 2 \\\hline
+	 Út & 1 143,05 & 2,22 & 1 646,00 & 2 & 70,30 & 1 & 1596,74 & 1\\\hline
+	 St & 442,55 & 1,44 & 963,00 & 3 & 503,00 & 4 & 409,90 & 2\\\hline
+	 ÄŒt & 203,41 & 2,34 & 133,00 & 2 & 113,00 & 1 & 95,00 & 1 \\\hline
+	 Pá & 404,71 & 2,78 & 1 930,00 & 3 & 134,00 & 2 & 249,00 & 2 \\\hline
+	 So & 298,32 & 2,74 & 803,00 & 3 & 0,00 & 0 & 128,00 & 3 \\\hline
+	 Ne & 1 076,40 & 2,34 & 89,00 & 2 & 347,60 & 1 & 646,00 & 2 \\\hline
+\end{tabular}
+\newline \newline \newline
+\begin{tabular}{|c |c |c |c |c |c |c|}
+	\hline
+	\multicolumn{7}{|c|}{Správnost předpovědi na týden} \\\hline
+	\multirow{2}{*}{Den} & \multicolumn{2}{c|}{Test 1} & \multicolumn{2}{c|}{Test 2} & \multicolumn{2}{c|}{Test 3} \\
+	    & částka & počet & částka & počet & částka & počet \\\hline
+	 Po & ne & ne & ne & ne & ne & ne \\\hline
+	 Út & ano & ano & ne & ne & ano & ne \\\hline
+	 St & ano & ne & ano & ne & ano & ano \\\hline
+	 ÄŒt & ano & ano & ano & ne & ne & ne \\\hline
+	 Pá & ne & ano & ne & ano & ne & ano \\\hline
+	 So & ne & ano & ne & ne & ne & ano  \\\hline
+	 Ne & ne & ano & ne & ne & ano & ano  \\\hline
+\end{tabular}
+\newline \newline
+
+Z uvedených údajů lze vyčíst, že částku se podařilo správně odhadnout celkem osmkrát, tedy s úspěšností 38,1\%. Oproti tomu počet transakcí se podařilo odhadnout v deseti případech. Úspěšnost toho odhadu tedy dosahuje 47,62\%. Kumulativní úspěšnost všech předpovědí je proto 42,86\%.
 
+\newpage
 %TODO druhý uživatel
 \section{Testování nezávislým uživatelem}
 Dalším testem bylo ohodnocení aplikace nezávislým člověkem. Dotyčný ale byl seznámen se zaměřením aplikace a byl mu stažen výpis z účtu a umístěn na plochu. Celý test pak tvořilo několik bodů, které má tento potencionální uživatel projít a vyhodnotit.
@@ -842,7 +994,6 @@ Jako možná další zásadní rozšíření bych uvedl doporučování produkt
 
 \appendix
 
-%============= seznam zkratek disabled ===================
 \chapter{Seznam použitých zkratek}
 \begin{description}
 	\item [JSON] JavaScript Object Notation
-- 
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