2019
DOI: 10.1093/mnras/stz3551
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Information theoretic bounds on cosmic string detection in CMB maps with noise

Abstract: We use a convolutional neural network (CNN) to study cosmic string detection in cosmic microwave background (CMB) flat sky maps with Nambu-Goto strings. On noiseless maps we can measure string tensions down to order 10 −9 , however when noise is included we are unable to measure string tensions below 10 −7 . Motivated by this impasse, we derive an information theoretic bound on the detection of the cosmic string tension Gµ from CMB maps. In particular we bound the information entropy of the posterior distribut… Show more

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Cited by 12 publications
(7 citation statements)
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“…This method, used in Ref. [97] for a different purpose, could help with the reconstruction on scales dominated by noise. On the other hand, the noise levels where significant gains seem possible are much lower than those of currently planned CMB surveys, meaning that optimization in that very low noise regime may not lead to much practical improvement with forthcoming data.…”
Section: Discussionmentioning
confidence: 99%
“…This method, used in Ref. [97] for a different purpose, could help with the reconstruction on scales dominated by noise. On the other hand, the noise levels where significant gains seem possible are much lower than those of currently planned CMB surveys, meaning that optimization in that very low noise regime may not lead to much practical improvement with forthcoming data.…”
Section: Discussionmentioning
confidence: 99%
“…Vafaei Sadr et al (2017) also used various combinations of image processing tools and statistical measures, followed by tree-based learning algorithms (Vafaei Sadr et al 2018) to forecast the detectability limit of different observational scenarios. There have been relatively recent neural network-based algorithms to locate the position of the strings for ideal noiseless experiments (Ciuca & Hernández 2017) or to put information-theoretic bounds on the CS tension for various observational setups (Ciuca & Hernández 2020). There are also Gµ measurements and forecasts from other observational routes.…”
Section: )mentioning
confidence: 99%
“…Finally, there has been much recent research to develop wavelets and machine learning as more sensitive probes of cosmic strings in the CMB (Hergt et al 2017;McEwen et al 2017;Vafaei Sadr et al 2018a,b;Ciuca & Hernández 2017, 2020. If indeed the SGWB seen by NANOGrav is due to string with 10 −11 𝐺 𝜇 10 −7 , the work in Ciuca & Hernández (2020 has show that there is enough information noisy in CMB maps for strings to be detected by machine learning methods.…”
Section: A Review Of Current Limits On the Cosmic String Tensionmentioning
confidence: 99%