{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/128318"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/128318","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Preliminary work for three-dimensional imaging of the epoch of reionization with interferometers","abstract":"A cm line of hydrogen hyperfine structure gives us an opportunity to study the formation of the first stars [11, galaxies 121 and black holes [3] as well as the standard cosmological model in the Dark Ages and the Epoch of Reionization via both the power spectrum and direct imaging [4]. In order to get three-dimensional images from calibrated inteferometer data, we develop a mapping algorithm called Direct Inversion Matrix (DIM) (151, [6]) that has many advantages over other existing algorithms. However, DIM tends to get computationally expensive. As data grow, the computational time and memory costs grow and become intractable for large instruments such as HERA-350. Through simulation, I will demonstrate the performance of DIM, in terms of computational speed and required memory, as well as the quality and fidelity of maps when tuning various parameters such as validpixel threshold that determines which pixels will be mapped, resolution, LST range and regularization matrix. This reveals which parameters tend to best relieve the computational burden of DIM while still maintaining sufficient data quality to achieve our scientific goal. To save computational time and reduce memory cost, I also show how to utilize parallel computing and other computational tricks for DIM. Finally, I explain the framework of the algorithm and also describe the implementation of DIM with the HERA IDR2.2 data [7] and show the preliminary results.","abstract_html":"A cm line of hydrogen hyperfine structure gives us an opportunity to study the formation of the first stars [11, galaxies 121 and black holes [3] as well as the standard cosmological model in the Dark Ages and the Epoch of Reionization via both the power spectrum and direct imaging [4]. In order to get three-dimensional images from calibrated inteferometer data, we develop a mapping algorithm called Direct Inversion Matrix (DIM) (151, [6]) that has many advantages over other existing algorithms. However, DIM tends to get computationally expensive. As data grow, the computational time and memory costs grow and become intractable for large instruments such as HERA-350. Through simulation, I will demonstrate the performance of DIM, in terms of computational speed and required memory, as well as the quality and fidelity of maps when tuning various parameters such as validpixel threshold that determines which pixels will be mapped, resolution, LST range and regularization matrix. This reveals which parameters tend to best relieve the computational burden of DIM while still maintaining sufficient data quality to achieve our scientific goal. To save computational time and reduce memory cost, I also show how to utilize parallel computing and other computational tricks for DIM. Finally, I explain the framework of the algorithm and also describe the implementation of DIM with the HERA IDR2.2 data [7] and show the preliminary results.","abstract_has_math":false,"creators":["Li, Jianshu,S.M.Massachusetts Institute of Technology."],"institution":"Massachusetts Institute of Technology","degree_name":"Master","degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Department of Physics","school":null,"contributors":[],"advisors":["Jacqueline N. Hewitt."],"committee_chairs":[],"committee_members":[],"year":2020,"date_issued":"2020","date_published":"2020","updated_at":"2026-07-22T22:22:13Z","subjects":["Physics."],"languages":["eng"],"rights":["MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided."],"rights_urls":["http://dspace.mit.edu/handle/1721.1/7582"],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/1721.1/128318","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Jacqueline N. Hewitt."]},{"key":"dc:contributor.department","label":"Department","values":["Massachusetts Institute of Technology. Department of Physics","Phys"]},{"key":"dc:contributor.other","label":"Dc Contributor Other","values":["Massachusetts Institute of Technology. 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Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided."]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://dspace.mit.edu/handle/1721.1/7582"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/1721.1/128318"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis: S.M., Massachusetts Institute of Technology, Department of Physics, February, 2020","Cataloged from PDF version of thesis.","Includes bibliographical references (pages 35-36)."]},{"key":"dc:description.abstract","label":"Abstract","values":["A cm line of hydrogen hyperfine structure gives us an opportunity to study the formation of the first stars [11, galaxies 121 and black holes [3] as well as the standard cosmological model in the Dark Ages and the Epoch of Reionization via both the power spectrum and direct imaging [4]. In order to get three-dimensional images from calibrated inteferometer data, we develop a mapping algorithm called Direct Inversion Matrix (DIM) (151, [6]) that has many advantages over other existing algorithms. However, DIM tends to get computationally expensive. As data grow, the computational time and memory costs grow and become intractable for large instruments such as HERA-350. Through simulation, I will demonstrate the performance of DIM, in terms of computational speed and required memory, as well as the quality and fidelity of maps when tuning various parameters such as validpixel threshold that determines which pixels will be mapped, resolution, LST range and regularization matrix. This reveals which parameters tend to best relieve the computational burden of DIM while still maintaining sufficient data quality to achieve our scientific goal. To save computational time and reduce memory cost, I also show how to utilize parallel computing and other computational tricks for DIM. Finally, I explain the framework of the algorithm and also describe the implementation of DIM with the HERA IDR2.2 data [7] and show the preliminary results."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["S.M."]},{"key":"dc:title","label":"Title","values":["Preliminary work for three-dimensional imaging of the epoch of reionization with interferometers"]}]}],"canonical_facts":{"dc:contributor.advisor":["Jacqueline N. Hewitt."],"dc:contributor.department":["Massachusetts Institute of Technology. Department of Physics","Phys"],"dc:contributor.other":["Massachusetts Institute of Technology. Department of Physics."],"dc:creator":["Li, Jianshu,S.M.Massachusetts Institute of Technology."],"dc:date.accessioned":["2020-11-03T20:30:19Z"],"dc:date.available":["2020-11-03T20:30:19Z"],"dc:date.issued":["2020"],"dc:description":["Thesis: S.M., Massachusetts Institute of Technology, Department of Physics, February, 2020","Cataloged from PDF version of thesis.","Includes bibliographical references (pages 35-36)."],"dc:description.abstract":["A cm line of hydrogen hyperfine structure gives us an opportunity to study the formation of the first stars [11, galaxies 121 and black holes [3] as well as the standard cosmological model in the Dark Ages and the Epoch of Reionization via both the power spectrum and direct imaging [4]. In order to get three-dimensional images from calibrated inteferometer data, we develop a mapping algorithm called Direct Inversion Matrix (DIM) (151, [6]) that has many advantages over other existing algorithms. However, DIM tends to get computationally expensive. As data grow, the computational time and memory costs grow and become intractable for large instruments such as HERA-350. Through simulation, I will demonstrate the performance of DIM, in terms of computational speed and required memory, as well as the quality and fidelity of maps when tuning various parameters such as validpixel threshold that determines which pixels will be mapped, resolution, LST range and regularization matrix. This reveals which parameters tend to best relieve the computational burden of DIM while still maintaining sufficient data quality to achieve our scientific goal. To save computational time and reduce memory cost, I also show how to utilize parallel computing and other computational tricks for DIM. Finally, I explain the framework of the algorithm and also describe the implementation of DIM with the HERA IDR2.2 data [7] and show the preliminary results."],"dc:description.degree":["S.M."],"dc:identifier.uri":["https://hdl.handle.net/1721.1/128318"],"dc:language.iso":["eng"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided."],"dc:rights.uri":["http://dspace.mit.edu/handle/1721.1/7582"],"dc:subject":["Physics."],"dc:title":["Preliminary work for three-dimensional imaging of the epoch of reionization with interferometers"],"dc:type":["Thesis"],"thesis:degree_name":["Master"]},"updated_at":"2026-07-22T22:22:13Z"}