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zWAZ(q7xV!gaCM^95mskb9a42F)iHDojDrcFqtFzX2E07aV&_xYg*+>nXBYB1uCmT~ zYDAtIk*9d%mjT5izY5kY_vnGM+><}t|A|JNND5_cWOH<KWnpa!Wo~3|VrmL=bYXII VcyeWC3N|t|HZ(R0B_%~qMhX`%0=fVI diff --git a/Latex/BP_Radek_Pus_2019.tex b/Latex/BP_Radek_Pus_2019.tex index b986539..ddbb854 100644 --- a/Latex/BP_Radek_Pus_2019.tex +++ b/Latex/BP_Radek_Pus_2019.tex @@ -142,7 +142,7 @@ Pro zabezpeÄenà routovánà na stranÄ› Klienta bylo využito tzv. Guardů - so \subsection{UkládánÃ} \subsection{ObohacenÃ} -\section{Tvrdá repetitivnost} +\section{Triviálnà repetitivnost} \section{UmÄ›lá inteligence} Pro pÅ™edpovÃdánà budoucÃch transakcà je využita neuronová sÃÅ¥. Tedy sÃÅ¥, na způsob lidského mozku, která obsahuje množstvà neuronů. Celá tato sÃÅ¥ pak funguje tak, že pokud dojde k aktivaci nÄ›jakého neuronu, tak ten postupnÄ› ovlivnà jeden, Äi vÃce dalÅ¡Ãch neuronů a ty zase dalÅ¡Ã. MÃru aktivace pak ovlivňujà tzv. váhy pro každý z pÅ™edchozÃch neuronů (vstupů). Způsob jejÃho fungovánà velmi názornÄ› ukazuje napÅ™. Grant Sanderson ve svém videu "But what is a Neural Network?"\cite{ANN_Understanding} @@ -260,7 +260,7 @@ Pro zjiÅ¡tÄ›nà funkÄnosti sÃtÄ› musely být vytvoÅ™eny nÄ›jaké dva primitivn Dále bylo tÅ™eba zjistit, zda pÅ™i exportu sÃtÄ› a následném importu nedojde k poruÅ¡enà struktury sÃtÄ› a bude fungovat i nadále. \subsubsection{Sudá a lichá ÄÃsla} -PrvnÃm bylo rozhodovánà se, jestli je ÄÃslo mezi nulou a sedmi sudé nebo liché. ÄŒÃsla 0-7 byla zvolena protože je lze zapsat pomocà třà cifer v binárnà soustavÄ›. Jediný rozdÃl byl, že se ÄÃslo 0 zapisovalo jako -1. To je z důvodu že 0 nenà neutrálnà ÄÃslo pro násobenà a tÃm pádem by nedocházelo ke správnému vyhodnocovánà vah. Využità ÄÃsel -1 a 1 bylo doporuÄeno i na konferenci Microsoftu \textit{Build 2013 - Developing Neural Networks using Visual Studio}\cite{MicrosoftBuild2013}. PÅ™i testovánà se podaÅ™ilo sÃti pÅ™edpovÄ›dÄ›t, zda-li je ÄÃslo sudé Äi liché na 100\% (viz. obr. Ä. \ref{OddEvenTest}) +PrvnÃm bylo rozhodovánà se, jestli je ÄÃslo mezi nulou a sedmi sudé nebo liché. ÄŒÃsla 0-7 byla zvolena protože je lze zapsat pomocà třà cifer v binárnà soustavÄ›. Jediný rozdÃl byl, že se ÄÃslo 0 zapisovalo jako -1. To je z důvodu že 0 nenà neutrálnà ÄÃslo pro násobenà a tÃm pádem by nedocházelo ke správnému vyhodnocovánà vah. Využità ÄÃsel -1 a 1 bylo doporuÄeno i na konferenci Microsoftu \textit{Build 2013 - Developing Neural Networks using Visual Studio}\cite{MicrosoftBuild2013}. PÅ™i testovánà se podaÅ™ilo sÃti pÅ™edpovÄ›dÄ›t, zda-li je ÄÃslo sudé Äi liché na 100\% (viz. obr. Ä. \ref{OddEvenTest}). SÃÅ¥ byla ve formÄ› 3 - 3 - 3 - 1 s 1000 vstupy a minibatchem o velikosti 100. Vzhledem k jednoduchosti testu (výsledek závisà jen a pouze na jednom vstupu - ostatnà jsou nepodstatné), zmÄ›ny na tvaru sÃtÄ› nemÄ›ly žádný vÄ›tÅ¡Ã vliv. \begin{figure}[h] \includegraphics[width=0.75\textwidth]{img/Odd_Even_Test_Evaluation.png} \centering @@ -269,26 +269,50 @@ PrvnÃm bylo rozhodovánà se, jestli je ÄÃslo mezi nulou a sedmi sudé nebo l \end{figure} \subsubsection{XOR} -Druhým problémem byl operátor XOR. Tento operátor oznaÄuje množinovou operaci která je pravdou pouze pokud jedno z ÄÃsel má nulovou, resp. zápornou (-1), hodnotu a druhé kladnou (1). Jak už bylo naznaÄeno test pro test byla nulová hodnota nahrazena zápornou ze stejných důvodů, jako v pÅ™edchozÃm testu. Výsledek testovánà dosáhl úspěšnosti 67.1\% (viz. obr. Ä. \ref{XORTest}), tedy téměř 3/4 vstupu byly odhadnuty správnÄ›. To je výsledek, který je lepÅ¡Ã než Äistý odhad a lze jej považovat za dostateÄný. +Druhým problémem byl operátor XOR. Tento operátor oznaÄuje množinovou operaci která je pravdou pouze pokud jedno z ÄÃsel má nulovou, resp. zápornou (-1), hodnotu a druhé kladnou (1). Jak už bylo naznaÄeno test pro test byla nulová hodnota nahrazena zápornou ze stejných důvodů, jako v pÅ™edchozÃm testu. +Prvnà test probÃhal na sÃti ve tvaru 2 - 3 - 3 - 1 s 1000 vstupy a minibatchem o velikosti 100. Kde prvnà ÄÃslo (2) znaÄà vstupy a poslednà (1) znaÄà výstupy. Výsledek testovánà dosáhl úspěšnosti 67.1\% (viz. obr. Ä. \ref{XORTest}). \begin{figure}[h] \includegraphics[width=0.7\textwidth]{img/XOR_Test_Evaluation.png} \centering - \caption[Test XOR operátoru]{Test XOR operátoru} + \caption[Test XOR operátoru s málo neurony]{Test XOR operátoru s málo neurony} \label{XORTest} \end{figure} +Bylo by možné tedy uvažovat, že téměř 3/4 vstupu byly odhadnuty správnÄ›, výsledek je proto lepÅ¡Ã než Äistý odhad a lze jej považovat za dostateÄný. Problém ale je, že sÃti byly poskytnuty veÅ¡keré možné vstupy a tudÞ musà pÅ™edpovÄ›dÄ›t 100\%.\cite{XORProblem} ŘeÅ¡enÃm tedy je tÅ™eba pÅ™idat vÄ›tÅ¡Ã množstvà neuronů a dat pro uÄenÃ. Bylo proto zvoleno tvaru 2-3-4-2-1 s 10 000 vstupy a minibatchem opÄ›t velikosti 100. Tenkrát bylo dosaženo lepÅ¡Ãho výsledku (obr. Ä. \ref{XORTestSuccess}). +\begin{figure}[h] + \includegraphics[width=0.75\textwidth]{img/XOR_Test_EvaluationSuccess.png} + \centering + \caption[Test XOR operátoru s doplnÄ›nými neurony]{Test XOR operátoru s doplnÄ›nými neurony} + \label{XORTestSuccess} +\end{figure} + +Zároveň na zmÃnÄ›ném testu lze i vidÄ›t, že tvar a velikost sÃtÄ› majà vliv na jejà výstup. + \subsubsection{Export, Import} Export a import sÃtÄ› lze ověřit snad jen jediným způsobem. A totiž exportovánÃm již natrénované sÃtÄ› a jejÃm následným naimportovánÃm zpÄ›t. Pokud doÅ¡lo ke korektnÃmu importu, sÃÅ¥ bude nadále správnÄ› pÅ™edvÃdat testovaná data. Bylo tedy implementováno simulované exportovánà a importovánà sÃtÄ› a ověřeno, zda-li se pÅ™edpovÄ›di nezmÄ›nili. Výsledek opÄ›t dosáhl 100\%, proto lze pÅ™edpokládat, že funkÄnost je bezchybná (viz obr. Ä. \ref{ImportExportTest}). \begin{figure}[h] - \includegraphics[width=0.7\textwidth]{img/test_export_import.png} + \includegraphics[width=0.75\textwidth]{img/test_export_import.png} \centering \caption[Test exportu a importu sÃtÄ›]{Test exportu a importu sÃtÄ›} \label{ImportExportTest} \end{figure} -\subsection{Komprátor} \label{komparator} +\subsection{Komparátor} \label{komparator} +Proto, aby mohlo neuronová sÃÅ¥ vyhodnocovat, jestli se daná transakce opakuje, je nutné z dat nejdÅ™Ãve urÄit, které transakce se konkrétnÄ› opakovali. Tento úkol bohužel nenà jednoznaÄný. +Prvnà myÅ¡lenka, která mnoho lidà napadne, je porovnávánà výše transakce. Pokud jsou dvÄ› transakce stejnÄ› velké, automaticky se opakujÃ. To bohužel nenà pravda. Lze ilustrovat na jednoduchém pÅ™Ãkladu: ŘeknÄ›me, že nÄ›jaký ÄlovÄ›k, Å™Ãkejme mu tÅ™eba Karel, si chodà ráno pÅ™ed pracà kupovat snÃdani. Pokaždé si v obchodÄ› koupà Äerstvou bagetu. Problém ale nastává, pokud se bageta zlevnà Äi zdražÃ, což je situace, která nastává relativnÄ› Äasto. Bageta může být také nÄ›kdy vyprodaná. Karel si stejnÄ› tak může každé ráno kupovat tÅ™eba pomeranÄe. To je položka, která nemá nikdy stejnou hodnotu a pÅ™Ãpadné zmÄ›ny v cenÄ› jeÅ¡tÄ› zvyÅ¡ujà amplitudu. NavÃc pomeranÄe mohou být ve Å¡patném stavu, což ho bude nutit mÄ›nit potravinu, kterou kupuje. TudÞ nenà možné se rozhodovat podle identické ceny. + +Druhá, souvisejÃcà myÅ¡lenka, pak bývá: Pokud se nelze orientovat podle ceny, tak je možné se orientovat dle mÃsta, potažmo ÄÃsla úÄtu. Tento pÅ™Ãpad opÄ›t nenà možný. Budeme-li dále použÃvat Karla jako pÅ™Ãklad, Å™eknÄ›me, že si kupuje ráno kávu. Pokud je venku pÄ›knÄ›, jde si ji koupit do stánku kde se prodává levná a dobrá. Musà se ale posadit na laviÄku v parku. Pokud ale hezky nenà jde si ji koupit do kavárny, tedy úplnÄ› jiného podniku s úplnÄ› jiným ÄÃslem úÄtu. StejnÄ› tak mohl zaspat a kávu si koupà až dotovanou v práci, tÅ™ebaže mu pÅ™ÃliÅ¡ nechutná. V tom pÅ™ÃpadÄ› si koupil kávu za úplnÄ› jinou cenu a jeÅ¡tÄ› na úplnÄ› jiném mÃstÄ› s úplnÄ› jiným ÄÃslem úÄtu. VÅ¡echno to vÅ¡ak lze považovat za opakujÃcà se transakci. + +Jako možné Å™eÅ¡enÃ, které bylo implementováno, tedy je srovnávat transakce ze dvou různých Äasových úseků. V práci bylo pÅ™iklonÄ›no k rozsahu jednoho týdne. + +Jeden den je pÅ™ÃliÅ¡ malý rozsah, kdy se může stát, že dokonce nedoÅ¡lo k žádné transakci. Pokud by se porovnával mÄ›sÃc, transakcà je pomÄ›rnÄ› mnoho. Běžný ÄlovÄ›k má navÃc obvykle pÅ™i opakujÃcà se Äinnosti zažité urÄité rituály. NejrozÅ¡ÃÅ™enÄ›jÅ¡Ã opakujÃcà se Äinnost bývá chozenà do práce Äi Å¡koly pÅ™es týden. OpakujÃcà se rituál potom může být pità kávy po pÅ™Ãchodu do práce. Takové Äinnosti se opakujà právÄ› v rámci týdnů a porovnávánà by tedy mÄ›lo být také v rámci násobků týdnů. + +V praxi se rozliÅ¡ujà i aktivity na sudé a liché týdny (cviÄenà ve Å¡kole, pravidelné schůzky v práci, jež se konajà ob jeden týden). Ideálnà by tedy bylo porovnávánà transakcà po dvou týdnech. Z nedostatku rozsahu obdržený dat doÅ¡lo ale k pÅ™iklonÄ›nà se pouze k týdnu jednomu. + + \subsection{Testovánà komparátoru} + \subsection{Datafeeder} \subsection{Normalizace} @@ -331,8 +355,16 @@ PÅ™i výbÄ›ru formy zpracovánà umÄ›lé inteligence jsem se rozhodl pro využit \item využÃt jinou knihovnu než Math.NET \item nÄ›které operace jde pÅ™epsat do maticových operacà (aÄkoli na úkor Äitelnosti) \item backpropagation psát cyklem mÃsto rekurze (aÄkoli mi rekurze pÅ™iÅ¡la intuitivnÄ›jÅ¡Ã, tak je pomalejÅ¡Ã) + \item rozdÄ›lenà porovnávánà na vÃkendy, svátky, pracovnà dny, roÄnà obdobà +\end{enumerate} +\chapter{ZávÄ›reÄné TestovánÃ} +\begin{enumerate} + \item import souborů + \item test api + \item test korektnÃho routovánà + \item odhlaÅ¡ovánÃ/pÅ™ihlaÅ¡ovánà uživatele + \item \end{enumerate} -\chapter{TestovánÃ} \begin{conclusion} %sem napiÅ¡te závÄ›r VaÅ¡Ã práce @@ -357,6 +389,8 @@ Pro svou práci jsem si nastudoval syntaxi a použità jazyků, jmenovitÄ› Types \item [NoSQL] non SQL \item 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a/Latex/mybibliographyfile.bib b/Latex/mybibliographyfile.bib index 93c53fc..e19e820 100644 --- a/Latex/mybibliographyfile.bib +++ b/Latex/mybibliographyfile.bib @@ -128,6 +128,18 @@ note = "[cit. 2019-14-11]", } +@ARTICLE {XORProblem, + title = "The XOR Problem in Neural Networks.", + author = "Jayesh Bapu Ahire", + journal = "A Medium Corporation {[online]}", + howpublished = "[online]", + month = "26. " # "prosince", + year = "2017", + note = "[cit. 2019-16-11]", + url = "https://medium.com/@jayeshbahire/the-xor-problem-in-neural-networks-50006411840b" +} + +%==================== Examples ================= @ARTICLE {YoutubeTechnet, title = "Jak vám Google vnucuje videa? NahlédnÄ›te pod pokliÄku YouTube", author = "Tomáš Hegedüš", @@ -148,14 +160,6 @@ url = "http://storage.googleapis.com/pub-tools-public-publication-data/pdf/45530.pdf" } - - - - - - - -%==================== Examples ================= @MANUAL{svgspec, title = "Scalable Vector Graphics (SVG) 1.1 Specification {[online]}", organization = "WWW Consorcium", -- GitLab