1,717 research outputs found
Krylov-Veretennikov formula for functionals from the stopped Wiener process
We consider a class of measures absolutely continuous with respect to the
distribution of the stopped Wiener process . Multiple
stochastic integrals, that lead to the analogue of the It\^o-Wiener expansions
for such measures, are described. An analogue of the Krylov-Veretennikov
formula for functionals is obtained
Simulating the Time Projection Chamber responses at the MPD detector using Generative Adversarial Networks
High energy physics experiments rely heavily on the detailed detector
simulation models in many tasks. Running these detailed models typically
requires a notable amount of the computing time available to the experiments.
In this work, we demonstrate a new approach to speed up the simulation of the
Time Projection Chamber tracker of the MPD experiment at the NICA accelerator
complex. Our method is based on a Generative Adversarial Network - a deep
learning technique allowing for implicit estimation of the population
distribution for a given set of objects. This approach lets us learn and then
sample from the distribution of raw detector responses, conditioned on the
parameters of the charged particle tracks. To evaluate the quality of the
proposed model, we integrate a prototype into the MPD software stack and
demonstrate that it produces high-quality events similar to the detailed
simulator, with a speed-up of at least an order of magnitude. The prototype is
trained on the responses from the inner part of the detector and, once expanded
to the full detector, should be ready for use in physics tasks.Comment: This is a post-peer-review, pre-copyedit version of an article
published in Eur. Phys. J. C. The final authenticated version is available
online at: http://dx.doi.org/10.1140/epjc/s10052-021-09366-
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