{"id":100540,"date":"2020-01-06T01:43:23","date_gmt":"2020-01-06T09:43:23","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2020\/01\/1911-06378-information-theoretic-bounds-on-cosmic-string-detection-in-cmb-maps-with-noise"},"modified":"2020-01-06T01:43:23","modified_gmt":"2020-01-06T09:43:23","slug":"1911-06378-information-theoretic-bounds-on-cosmic-string-detection-in-cmb-maps-with-noise","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2020\/01\/1911-06378-information-theoretic-bounds-on-cosmic-string-detection-in-cmb-maps-with-noise","title":{"rendered":"[1911.06378] Information Theoretic Bounds on Cosmic String Detection in CMB Maps with Noise"},"content":{"rendered":"<p>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.<\/p>\n<p>$10^{-7}$. Motivated by this impasse, we derive an information theoretic bound on the detection of the cosmic string tension $G\u03bc$ from CMB maps. In particular we bound the information entropy of the posterior distribution of.<\/p>\n<p>$G\u03bc$ in terms of the resolution, noise level and total survey area of the CMB.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>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 [\u2026]<\/p>\n","protected":false},"author":427,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"class_list":["post-100540","post","type-post","status-publish","format-standard","hentry","category-robotics-ai"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/100540","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/427"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=100540"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/100540\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=100540"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=100540"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=100540"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}