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SUMMARY:Comparison of the GCV method and a subjective optimality criterion
  in the problem of determining the velocity of a heavy ion using a semicon
 ductor detector (PIN diode)
DTSTART;VALUE=DATE-TIME:20261030T100000Z
DTEND;VALUE=DATE-TIME:20261030T101500Z
DTSTAMP;VALUE=DATE-TIME:20261030T002943Z
UID:indico-contribution-6388@cern.ch
DESCRIPTION:Speakers: Alina Kalish (Lomonosov Moscow State University)\nTh
 is paper presents a statistical comparison of two methods for determining 
 the velocity of a heavy ion using a semiconductor detector (PIN diode): th
 e method based on a subjective optimization criterion that employs the mat
 hematical formalism of subjective modeling (MFSM) proposed by Yu. P. Pytye
 v\, and the generalized cross-validation (GCV) method. The MFSM makes it p
 ossible to formulate mathematically both a subjective model of the object 
 under study and a subjective mathematical model of its measurements and th
 eir subjective interpretation. Using the MFSM\, one can mathematically for
 malize the subjective judgments of the researcher-modeler regarding the ph
 ysical properties of the object under study\, the means of its measurement
 \, the mathematical properties of noise\, and so on\; all such subjective 
 information is based on the researcher-modeler's scientific experience and
  scientific intuition. The GCV (Generalized Cross-Validation) method is a 
 statistical method used to select the regularization parameter when solvin
 g ill-posed problems\, smoothing data\, or reconstructing signals. GCV hel
 ps to efficiently estimate noise and to choose smoothing in problems where
  direct estimation of parameters is difficult. A computational experiment 
 has been carried out that simulates the acquisition of a signal at the det
 ector with a halved ion registration rate\, which makes it possible to ass
 ess how sensitive the two compared methods are to the sampling rate of the
  recording equipment.\n\nhttps://indico.particle.mephi.ru/event/626/contri
 butions/6388/
LOCATION: Conference Hall 5
URL:https://indico.particle.mephi.ru/event/626/contributions/6388/
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