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nucleosynthesis committed Jul 13, 2023
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2 changes: 1 addition & 1 deletion index.html
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Expand Up @@ -491,5 +491,5 @@ <h4 class="modal-title" id="keyboardModalLabel">Keyboard Shortcuts</h4>

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MkDocs version : 1.4.3
Build Date UTC : 2023-07-13 12:51:52.250053+00:00
Build Date UTC : 2023-07-13 12:52:30.072004+00:00
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2 changes: 1 addition & 1 deletion part2/bin-wise-stats/index.html
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Expand Up @@ -301,7 +301,7 @@ <h2 id="analytic-minimisation">Analytic minimisation</h2>
<p>The figure below shows a performance comparison of the analytical minimization versus the number of bins in the likelihood function. The real time (in sections) for a typical minimisation of a binned likelihood is shown as a function of the number of bins when invoking the analytic minimisation of the nuisance parameters versus the default numerical approach.</p>
<details>
<summary><strong>Show Comparison</strong></summary>
<p><img alt="" src="images/BB.png" /></p>
<p><img alt="" src="../images/BB.png" /></p>
</details>
<h2 id="technical-details">Technical details</h2>
<p>Up until recently <code>text2workspace.py</code> would only construct the PDF for each channel using a <code>RooAddPdf</code>, i.e. each component process is represented by a separate PDF and normalisation coefficient. However in order to model bin-wise statistical uncertainties the alternative <code>RooRealSumPdf</code> can be more useful, as each process is represented by a RooFit function object instead of a PDF, and we can vary the bin yields directly. As such, a new RooFit histogram class <code>CMSHistFunc</code> is introduced, which offers the same vertical template morphing algorithms offered by the current default histogram PDF, <code>FastVerticalInterpHistPdf2</code>. Accompanying this is the <code>CMSHistErrorPropagator</code> class. This evaluates a sum of <code>CMSHistFunc</code> objects, each multiplied by a coefficient. It is also able to scale the summed yield of each bin to account for bin-wise statistical uncertainty nuisance parameters.</p>
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