From 360c1b37080159664fe1a5965a4e32716d7ad32e Mon Sep 17 00:00:00 2001 From: Ana A Date: Fri, 28 Feb 2025 18:24:05 +0100 Subject: [PATCH 1/2] initializing categories section --- sections/categorizer.tex | 60 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 60 insertions(+) diff --git a/sections/categorizer.tex b/sections/categorizer.tex index 71b4461..99e179c 100644 --- a/sections/categorizer.tex +++ b/sections/categorizer.tex @@ -1,2 +1,62 @@ \chapter{Advanced Topics}\label{chap:advanced} \section{Defining categories}\label{sec:categories} + +Once we have selected interesting events for our analysis, we might want to categorize them based on discrete variables, like final state particle content or event topology. +Each category, corresponding to a defined set of discrete variables, will be saved internally as an \code{int} value. This reduces memory requirements and results in faster computation of event operations. + +The \CCSPStlye{Categorizer} class allows the definition of such categories. Two examplary categorizer functions are found in \code{h4l/categorization/example.py}, namely \code{cat\_incl} and \code{cat\_2j}. +The first one, defined as a fully inclusive category, will select all events that have passed the \CCSPStlye{cf.SelectEvents} task. The second one will only select events that have passed the \CCSPStlye{cf.SelectEvents} task \textit{and} have at least two \code{Jet} objects. +These functions also have a \code{uses} set, where we can pass the needed columns to define the category requirements. For example, the \code{cat\_2j} function requires one jet related column, which may be the \code{Jet.pt}. + +Once the categories have been defined, they must be added to the analysis config in \code{h4l/config/categories.py}. Here, you can use the \code{add\_category\(\)} helper function. +As arguments, it requires the config instance and a category name as a \code{string}, e.g. \code{'incl'} and \code{'2j'}. An \code{int} category \code{id} can be passed as an argument but, if it is not, it will be created. +How these \code{id}s are created can be seen the function \code{create\_category\_id()} in \code{columnflow/config\_util.py}. +Additionally, the categorizer function name should be passed as a \code{selection} argument. A \code{label} argument for plotting is optional. + +\newpage + +\begin{exercise}{Defining Categories}[h4l/categorization/solution.py] + Write three new \CCSPStlye{Categorizer} functions in \code{h4l/categorization/default.py} to select, respectively, events with \textit{at least} four electrons, four muons and, lastly, two electrons and two muons. + Add each category to the config in \code{h4l/config/categories.py}. +\end{exercise} + +We can now also consider what should happen when events fall into more than one category. +To address this, we can use \textit{leaf categories}, which are defined as possible combinations of the single categories. +The helper function \code{create\_category\_combinations()}, also defined in \code{columnflow/config\_util.py}, will generate the leaf categories at different depths with the respective \textit{parent-child} relationships. +To define which combinations should be preformed, a \code{dict} object should be passed as the \code{categories} argument to the function. +The keys should be the \textit{orthogonal} discrete variable group names (e.g. \code{'channel'} or \code{'kinematics'}) and the values should be a \code{list} containing the single categories based on that respective variable. + +The leaf categories will be created by picking a single category from \textit{each} variable group. Thus, in this example, \code{cat\_incl} and \code{cat\_2j} would not be combined into a leaf category, since they belong to the same variable group, \code{'kinematics'}. +A possible combination would be to consider, for instance, a new category \code{cat\_ee} containing events with exactly two electrons, assigned to the variable group \code{'channel'}. +Then, the new leaf categories would be created as \code{cat\_\_incl\_\_ee} and \code{cat\_\_2j\_\_ee}, with their own automatically generated \code{id}s. If a \code{label} was provided to each parent category, a new one will also be generated for the leaf categories. + +\begin{tcolorbox}[colback=green!5!white,colframe=green!75!black,width=\textwidth] +Note: Leaf categories are not necessarily orthogonal! +\end{tcolorbox} + +At this point it is important to point out that leaf categories are not necessarily orthogonal themselves. Indeed \code{cat\_\_2j\_\_ee} is a subset of \code{cat\_\_incl\_\_ee}. +If we would want to have full orthogonality, then the categories \textit{within} each variable group should also be orthogonal among each other. +Within ColumnFlow, only the deepest level leaf category \code{id}s are stored in disk and propagated to the histograms. +Thus, when we request an histogram for a parent category, this will be internally resolved as the \textit{sum} of their deepest level leaf categories. +An advantage of full orthogonality is that we can request any parent category without double counting events. +If this is not the case, then the user must take care not to request certain parent categories. +In this example, requesting \code{cat\_\_ee} would result in double counting, as this would be the sum of \code{cat\_\_incl\_\_ee} and \code{cat\_\_2j\_\_ee}, which share events. +However, requesting \code{cat\_\_incl} is perfectly fine, as this would just be the single \code{cat\_\_incl\_\_ee}. + +\begin{tcolorbox}[colback=green!5!white,colframe=green!75!black,width=\textwidth] +Note: Leaf categories are not necessarily complete! +\end{tcolorbox} + +Another important point to consider is the completeness of the phase-space. +For a certain variable group, the sum of its categories may or may not cover the full phase-space. +In this example, the \code{'channel'} group is incomplete, as events with other leptons in the final state, or a different number of electron other than two, are not represented in the group. +In this case, if we were to request the parent category \code{cat\_\_2j}, we would only get the sum of the leaf categories, which is the single \code{cat\_\_2j\_\_ee}. Events with two jets but with different final state leptons would not be represented. +Therefore, it is up to the user to ensure orthogonality and completeness of all categories when defining the parent categories and the variable groups! + +A schematic view of the category combinatorics logic is shown in Fig.~\ref{fig:categories}. +\begin{figure}[h] + \centering + \includegraphics[width=0.8\textwidth]{figures/categories} + \caption{Schematic view of the category combinatorics.} + \label{fig:categories} +\end{figure} From a8c7240ffcc1cb3578954f4d1145a368d74895ee Mon Sep 17 00:00:00 2001 From: Ana A Date: Mon, 3 Mar 2025 11:52:15 +0100 Subject: [PATCH 2/2] updating section and adding categories figure --- images/categories.pdf | Bin 0 -> 120405 bytes sections/categorizer.tex | 22 ++++++++++++++-------- 2 files changed, 14 insertions(+), 8 deletions(-) create mode 100644 images/categories.pdf diff --git a/images/categories.pdf b/images/categories.pdf new file mode 100644 index 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