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### [Breakdown decisions for document CADouma_DNN_Publication] ###
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[FONTSIZE=7.970100000000002] <=> [VERTPOS=604.4257872999998] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<list uncertainties are, again, shown as separate bands (as in the previous>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=593.9507872999998] <=> [WHITELINES=10.475000000000023;10.503000000000043] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<section).>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=583.4477872999997] <=> [WHITELINES=10.503000000000043;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<From Figs. 9–11 it is clear that the new DNN algorithm significantly>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=572.9727872999997] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<improves the ‘‘Hit’’ selection with respect to the traditionally-used TDR>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=562.4977872999997] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<algorithm. In terms of efficiency, the DNN algorithm has about 50%>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=552.0227872999997] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<higher performance than the TDR algorithm for 200 MeV neutrons. For>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=541.5477872999996] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<higher neuron energies, this is about a factor 3. Since an increase in>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=531.0727872999996] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<efficiency was the reason for developing the new DNN algorithm, we>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=520.5977872999996] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<conclude that the new DNN algorithm achieves that goal. Moreover,>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=510.1227872999996] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<since the difference in performance between the TDR and the DNN>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=499.64778729999955] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<algorithms was quite small for the multiplicity determination (see>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=489.1727872999995] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<previous section), we also conclude that almost all the improvement>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=478.6977872999995] <=> [WHITELINES=10.475000000000023;10.502999999999986] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<shown in Figs. 9–11 is due to the improved ‘‘Hit’’ selection procedure.>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=468.1947872999995] <=> [WHITELINES=10.502999999999986;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Figs. 9–11 also confirm our conclusions made in Section 3 about>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=457.7197872999995] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<the limitations due to physics-list uncertainties and the number of Neu->]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=447.2447872999995] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<LAND dp. The physics-list uncertainties are significant for all neutron>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=436.76978729999945] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<energies and are particularly large at 200 MeV (see Fig. 9). Hence,>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=426.2947872999994] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<also for extracting more complex observables with NeuLAND, like>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=415.8197872999994] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<the invariant mass, a reduction of the physics-list uncertainties by>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=405.3447872999994] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<model improvements and more accurate benchmarks seems necessary>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=394.86978729999936] <=> [WHITELINES=10.475000000000023;10.502999999999986] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<(especially at lower energies like 200 MeV).>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=384.3667872999994] <=> [WHITELINES=10.502999999999986;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<These figures also effectively demonstrate the effects of false->]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=373.89178729999935] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<positive multiplicity assignments on measurable observables like the>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=363.4167872999993] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<invariant mass. As an example, we take a closer look at the situation in>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=352.9417872999993] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Fig. 9a. In this situation, false-positive multiplicity assignments make>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=342.4667872999993] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<up about 60% of the data in this situation (see the 8 dp point in the>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=331.99178729999926] <=> [WHITELINES=10.475000000000023;10.47399999999999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<4n picture of Fig. 6). This is why the DNN peak has a larger area>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=321.51778729999927] <=> [WHITELINES=10.47399999999999;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<than the ‘‘Perfect-Tracking’’ peak. Moreover, there is even a significant>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=311.04278729999925] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<shift in the peak position between these two algorithms. Since not>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=300.5677872999992] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<all four neutrons have been detected in the false-positive multiplicity>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=290.0927872999992] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<assignments, the ‘‘Hit’’ selection algorithm is forced to come up with>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=279.6177872999992] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<a false fourth shower head. The contributions of these false shower>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=269.14278729999916] <=> [WHITELINES=10.475000000000023;10.475000000000023] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<heads to the invariant mass are the cause of the shift. From Figs. 9–>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=258.66778729999913] <=> [WHITELINES=10.475000000000023;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<11, it can be concluded that such shifts occur for all neutron energies>]
[FONTSIZE=7.970099999999974] <=> [VERTPOS=248.19278729999914] <=> [WHITELINES=10.474999999999994;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<and all NeuLAND configurations. However, the magnitude of the shift>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=237.71778729999915] <=> [WHITELINES=10.474999999999994;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<decreases when the neutron energy increases (because the physics-list>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=227.24278729999915] <=> [WHITELINES=10.474999999999994;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<uncertainties decrease) and when the number of NeuLAND dp increases>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=216.76778729999916] <=> [WHITELINES=10.474999999999994;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<(because the ratio of true to false-positives becomes more favorable).>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=206.29278729999916] <=> [WHITELINES=10.474999999999994;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Hence, in order to allow accurate determination of measurable observ->]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=195.81778729999917] <=> [WHITELINES=10.474999999999994;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<ables with NeuLAND like the invariant mass, we conclude that the>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=185.34278729999917] <=> [WHITELINES=10.474999999999994;10.503000000000014] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<number of NeuLAND dp should be as large as possible.>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=174.83978729999916] <=> [WHITELINES=10.503000000000014;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Some NeuLAND configurations also suffer from large statistical>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=164.36478729999916] <=> [WHITELINES=10.474999999999994;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<uncertainties besides the physics-list uncertainties. These statistical>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=153.88978729999917] <=> [WHITELINES=10.474999999999994;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<uncertainties are a combination of the traditional Poisson uncertainty>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=143.41478729999918] <=> [WHITELINES=10.474999999999994;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<and of the simulation initialization. Decision parameters (like the DNN>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=132.93978729999918] <=> [WHITELINES=10.474999999999994;10.475000000000009] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<weights and the TDR cuts) are initialized as random numbers and>]
[FONTSIZE=7.970100000000016] <=> [VERTPOS=122.46478729999917] <=> [WHITELINES=10.475000000000009;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<then optimized using a numerical minimization algorithm. However,>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=111.98978729999918] <=> [WHITELINES=10.474999999999994;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<since the minimization algorithm uses a finite number of iterations>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=101.51478729999918] <=> [WHITELINES=10.474999999999994;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<and/or the minimization could be trapped in local minima (which>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=91.03978729999919] <=> [WHITELINES=10.474999999999994;10.474000000000004] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<happens frequently for DNNs [14]), the outcome of the minimization>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=80.56578729999919] <=> [WHITELINES=10.474000000000004;10.474999999999994] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<procedure depends (somewhat) on the initialization. As a result, the>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=70.09078729999919] <=> [WHITELINES=10.474999999999994;10.475000000000001] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<statistical uncertainties contain a contribution from this initialization.>]
[FONTSIZE=7.970100000000009] <=> [VERTPOS=59.61578729999919] <=> [WHITELINES=10.475000000000001;10.475000000000001] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<This contribution was estimated by repeating both the training and the>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=49.14078729999919] <=> [WHITELINES=10.475000000000001;12.614952904000006] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<validation twice with the exact same input parameters (but different>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=730.2237872999992] <=> [WHITELINES=12.614952904000006;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<random seeds) and is shown in Figs. 9–11 as a band around the>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=719.7507872999993] <=> [WHITELINES=10.472999999999956;10.496999999999957] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<histogram-data. This band includes the Poisson uncertainty.>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=709.2537872999993] <=> [WHITELINES=10.496999999999957;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<From the limited number of simulations that were performed to>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=698.7807872999994] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<estimate the statistical uncertainties, the general trend seems to show>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=688.3077872999994] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<that the statistical uncertainties are smaller for the larger number of>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=677.8347872999994] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<dp. Looking at Figs. 9–11, it is advised that for measuring observables>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=667.3617872999995] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<like a 4-neutron invariant mass with a reasonable accuracy, at least 16>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=656.8887872999995] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<dp are used. However, the number of required double-planes may be>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=646.4157872999996] <=> [WHITELINES=10.472999999999956;10.496999999999957] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<different for other neutron multiplicities.>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=635.9187872999996] <=> [WHITELINES=10.496999999999957;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Since false-positive multiplicity assignments and overlapping parti->]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=625.4457872999997] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<cle showers cannot occur for one-neutron events, basically any number>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=614.9727872999997] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<of NeuLAND dp can be used for one-neutron experiments, provided that>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=604.4997872999998] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<sufficient beam-time is available to compensate for the lower neutron>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=594.0267872999998] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<detection probability (for 8 dp, this is 50%–60%, see the figures in the>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=583.5537872999998] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<previous section). However, for two-neutron events and 8 dp, 40%–50%>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=573.0807872999999] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<of the multiplicity assignments are false-positives. Given the results of>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=562.6077872999999] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Fig. 9a where the number of false-positive multiplicity assignments is>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=552.1347873] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<roughly 60%, we conclude that 8 dp is not enough for two-neutron>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=541.6617873] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<experiments. However, the number of 40%–50% for two-neutron events>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=531.1887873000001] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<drops significantly (to roughly 25%) when going from 8 dp to 12 dp.>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=520.7157873000001] <=> [WHITELINES=10.472999999999956;10.472999999999956] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<From Figs. 9a (roughly 60% false-positive multiplicity assignments)>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=510.24278730000015] <=> [WHITELINES=10.472999999999956;10.473000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<and 9c (roughly 25% false-positive multiplicity assignments), we know>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=499.76978730000013] <=> [WHITELINES=10.473000000000013;10.473000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<that such a drop in false-positive multiplicity assignments significantly>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=489.2967873000001] <=> [WHITELINES=10.473000000000013;10.473000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<reduces the shift in observables. Hence, we conclude that 12 dp suffices>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=478.8237873000001] <=> [WHITELINES=10.473000000000013;10.473000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<for two-neutron experiments. Since the ratio of true to false-positive>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=468.3507873000001] <=> [WHITELINES=10.473000000000013;10.473000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<multiplicity assignments is roughly the same for three-neutron events,>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=457.8777873000001] <=> [WHITELINES=10.473000000000013;10.473000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<four-neutron events and five-neutron events, we conclude that for>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=447.40478730000007] <=> [WHITELINES=10.473000000000013;10.497000000000014] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<multiplicity above two, 16 dp are needed.>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=436.90778730000005] <=> [WHITELINES=10.497000000000014;10.473000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Hence, one can conclude that 8 dp would suffice for experiments>]
[FONTSIZE=7.970100000000002] <=> [VERTPOS=426.43478730000004] <=> [WHITELINES=10.473000000000013;10.473000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<where one is interested in only one-neutron detection, 12 dp would>]
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