Regularised unfolding with a discrete-valued penalty function

Autor:	Schmelling, Michael
Rok vydání:	2022
Předmět:	Physics - Data Analysis Statistics and Probability High Energy Physics - Experiment
Zdroj:	Nuclear Inst. and Methods in Physics Research, A 1056 (2023) 168566
Druh dokumentu:	Working Paper
DOI:	10.1016/j.nima.2023.168566
Popis:	Regularisation allows one to handle ill-posed inverse problems. Here we focus on discrete unfolding problems. The properties of the results are characterised by the consistency between measurements and unfolding result and by the posterior response matrix. We introduce a novel regularisation scheme based on a discrete-valued penalty function and compare its performance to that of a simple cutoff-regularisation. The discrete-valued penalty function does not require a regularisation parameter that needs to be adjusted on a case-by-case basis. In toy studies very satisfactory results are obtained. Comment: 19 pages, 11 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.09579 Zobrazit plný text záznamu View this record from Arxiv