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z_pLuNXs1Ve$Q0q+kH83}ZvMAh^6!2uh>P|1;6fQ4I+?ID69z2Pa@^EGYg=AQ<8+i9 z%VNgDQto2zhC)*omr@ZZOGpXqnxDt;l1T0VmN4!n++j&~XpTTC1mO1K*uBpP>ai}v z#xEIs=YliH3!V!;s|+Z0VkWR*5vgr=M1MOh5X(QF?hMl%=Vfry9Mc+SL?=6>`vAc@ zKuv%z3mCNjX<uCMYwq!gGhg<*awQtVwr|y9*#XwplJ&&x<y*;O>wyn{;bKrRd#*L7 z)yZ5>Q%1eZAM)xF#?8BUP4<+JW{panKg^6XboFm~)0g}fFR`*s87=ZhjMdl-?9V?5 zKsbzdbs~2~AHp++kpD39V6TaFw#fM)L;7HGq414I{GlskSfEP!5YwR0(je}Pz%3V& z`8Yjp&>DUUr!eOnU|7(K=p>U^tEHUK%h`^r*4AeL)AH)AO<z-9+JSWwPn><9m3FPM i@c+LaoX#%BPA(p3PG;utTpaAIEbQ=<loCpk@c$oX@(Nx6 diff --git a/Latex/BP_Radek_Pus_2019.tex b/Latex/BP_Radek_Pus_2019.tex index ddbb854..c73b935 100644 --- a/Latex/BP_Radek_Pus_2019.tex +++ b/Latex/BP_Radek_Pus_2019.tex @@ -304,15 +304,39 @@ Prvnà myÅ¡lenka, která mnoho lidà napadne, je porovnávánà výše transakce 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. +\subsubsection{PÅ™iÅ™azovánà do páru} 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. +Pokud tedy budou uvažovány transakce ze dvou různých týdnů, mÄ›la by se opakujÃcà se transakce vyskytovat v každém týdnu právÄ› jednou. V jednom z týdnů ale bývá z pravidla transakcà vÃce. Proto by se dalo optimistickým pÅ™Ãstupem (ÄlovÄ›k po vÄ›tÅ¡inu Äasu opakuje Äinnost) Å™Ãci, že opakujÃcÃch se transakcà je právÄ› minimum z poÄtu transakcà v tÄ›chto dvou týdnech. Zároveň jsou v relaci 1:1 - každá opakujÃcà se transakce v prvnÃm týdnu má pravÄ› jednu opakujÃcà se transakci v týdnu druhém. Zbylé transakce se neopakujÃ. + +Pro pÅ™iÅ™azovánà do párů se procházejà v cyklu transakce a ke každé transakci se vybere nÄ›jaká, která je ji hodnotou nejblÞe. V každém průchodu cyklu se pro každou transakci z menÅ¡Ã množiny hledá transakce z množiny vÄ›tÅ¡Ã taková, že rozdÃl v jejich Äástce je nejmenÅ¡Ã (tzv. vzdálenost musà být nejkratÅ¡Ã). PÅ™i hledánà tÄ›chto dvojic může dojÃt k duplicitnÃmu propojenà (dvÄ› a vÃce transakcà z jedné množiny, považujà jednu transakci z druhé množiny za nejbližšÃ). V tom pÅ™ÃpadÄ› se vezme dvÄ› nejkratÅ¡Ã vzdálenosti z tohoto vztahu. Celý cyklus se opakuje, dokud nejsou pÅ™iÅ™azeny vÅ¡echny transakce z menÅ¡Ã množiny k množinÄ› vÄ›tÅ¡Ã. + +\subsubsection{Porovnávánà vzdálenosti} +S touto implementacà vÅ¡ak vyvstává jeden problém. Toto "optimistické" pÅ™iÅ™azovánà transakcà ve skuteÄnosti Å™Ãká, že týden s menÅ¡Ã aktivitou je podmnožinou týdne s aktivitou vÄ›tÅ¡Ã. Jinými slovy - vÅ¡echny platby jednoho z týdnů jsou bezezbytku obsaženy v druhém. To zcela jistÄ› nenà správnÄ›. OpakujÃcà se transakce jsou spÃÅ¡e průnikem tÄ›chto dvou týdnů (ne vÅ¡echny se opakujÃ). Je tedy opÄ›t tÅ™eba se zamyslet, jakým způsobem toto vyÅ™eÅ¡it. + +Prvnà možnostà by bylo omezit poÄet opakovánà v cyklu, kdy se párujà transakce. AÅ¥ už Å™Ãci, že se cyklus nesmà procházet napÅ™. vÃce než tÅ™ikrát anebo musà zůstat alespoň 5 nerozhodnutých transakcÃ. PÅ™i využità tÄ›chto pÅ™Ãstupů ale nemám žádnou kontrolu nad samotnými transakcemi. Mohou mi zbýt transakce, které si jsou Äástkou blÃzké - to nastává tÅ™eba v pÅ™ÃpadÄ›, že dotyÄný ÄlovÄ›k jednoduÅ¡e nenakupoval nic navÃc a Äástky jsou si opravdu podmnožinou. Tak je možné, že mezi jednotlivými týdny nebyl finanÄnÄ› pÅ™ÃliÅ¡ aktivnà a Äástek je jen málo - vÅ¡echny by se mohly vyfiltrovat jako neopakujÃcà se. To tedy nepoukazuje na dobré Å™eÅ¡enÃ. + +Za mnohem korektnÄ›jÅ¡Ã pÅ™Ãstup, by se dalo považovat porovnávánà jeÅ¡tÄ› podle relativnà vzdálenosti jednotlivých Äástek. TÃm je mÃnÄ›no, že hodnoty 10~KÄ a 110~KÄ se od sebe liÅ¡Ã vÃce, než napÅ™Ãklad 5~000~KÄ a 5~100~KÄ. ObÄ› hodnoty se v absolutnÃm měřÃtku sice liÅ¡Ã jen o sto korun ale Äástky samotné se pohybujà ve zcela jiných řádech. AvÅ¡ak porovnávánà řádů s hodnotou je pomÄ›rnÄ› abstraktnà a jednoduché porovnánà řádů s rozdÃlem Äástek nejde pÅ™ÃliÅ¡ jednoduÅ¡e implementovat. + +Za Å™eÅ¡enà lze považovat pohled z hlediska pomÄ›rů. Pokud se zůstane u pÅ™edchozÃch Äástek daly by se uvést do pomÄ›rů 110~:~10 a 5~100~:~5~000. PomÄ›r pro prvnà zmÃnÄ›nou Äástku je roven 11, kdežto pro druhou 1.02. Zde už lze zÅ™etelnÄ› vidÄ›t, jak moc se od sebe Äástky relativnÄ› liÅ¡Ã. + +Za povÅ¡imnutà vÅ¡ak jeÅ¡tÄ› stojÃ, že je tÅ™eba poměřovat vždy Äástku vÄ›tÅ¡Ã vůÄi menÅ¡Ã, pÅ™ÃpadnÄ› naopak. Je vÅ¡ak nutné dodržovat poÅ™adà velikostÃ. Po samotném pÅ™iÅ™azenà párů navÃc nenà garantováno, která z Äástek je vÄ›tÅ¡Ã. Mohlo by tedy dojÃt k tomu, že by se porovnávala ÄÃsla normalizovaná do velikosti menÅ¡Ã než jedna, s ÄÃsly vÄ›tÅ¡Ãmi než jedna. Takové porovnávánà by dávalo zcela nesmyslné výsledky. +%TODO možná noise \subsection{Testovánà komparátoru} +AÄkoli komparátor, jako takový, je pomÄ›rnÄ› složitý, jeho výstup už tak složitý nenÃ. VÅ¡e lze porovnat pouhým okem z výpisu. PÅ™Ãklad vygenerovaného výpisu, s daty z poskytnuté transakÄnà historie, je na obr. Ä. \ref{ComparatorTest}. +\begin{figure}[h] + \includegraphics[width=0.75\textwidth]{img/ComparatorTest.png} + \centering + \caption[Test komparátoru]{Test komparátoru} + \label{ComparatorTest} +\end{figure} +Lze zde pozorovat, jak se jednotlivé Äástky na sebe namapovaly (oznaÄeno Å¡ipkou) a jak jsou od sebe vzdáleny (v závorce). Transakce, které se nepodaÅ™ilo pÅ™iÅ™adit, jsou vypsány v Äásti "Major". 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