Optimising marked power spectra for cosmology
Marked power spectra provide a computationally efficient way to extract non-Gaussian information from the matter density field using the usual analysis tools developed for the power spectrum without the need for explicit calculation of higher-order correlators. In this work, we explore the optimal f...
| Hoofdauteurs: | , , |
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| Formaat: | Journal article |
| Taal: | English |
| Gepubliceerd in: |
Oxford University Press
2024
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| _version_ | 1826316056549916672 |
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| author | Cowell, J Alonso, D Liu, J |
| author_facet | Cowell, J Alonso, D Liu, J |
| author_sort | Cowell, J |
| collection | OXFORD |
| description | Marked power spectra provide a computationally efficient way to extract non-Gaussian information from the matter density field using the usual analysis tools developed for the power spectrum without the need for explicit calculation of higher-order correlators. In this work, we explore the optimal form of the mark function used for re-weighting the density field, to maximally constrain cosmology. We show that adding to the mark function or multiplying it by a constant leads to no additional information gain, which significantly reduces our search space for optimal marks. We quantify the information gain of this optimal function and compare it against mark functions previously proposed in the literature. We find that we can gain around ∼2 times smaller errors in 𝜎8 and ∼4 times smaller errors in Ω𝑚 compared to using the traditional power spectrum alone, an improvement of ∼60% compared to other proposed marks when applied to the same data set.
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| first_indexed | 2024-12-09T03:39:08Z |
| format | Journal article |
| id | oxford-uuid:442b22a5-ac5b-402a-a6c5-2404366495fe |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-12-09T03:39:08Z |
| publishDate | 2024 |
| publisher | Oxford University Press |
| record_format | dspace |
| spelling | oxford-uuid:442b22a5-ac5b-402a-a6c5-2404366495fe2024-12-05T12:56:14ZOptimising marked power spectra for cosmologyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:442b22a5-ac5b-402a-a6c5-2404366495feEnglishSymplectic ElementsOxford University Press2024Cowell, JAlonso, DLiu, JMarked power spectra provide a computationally efficient way to extract non-Gaussian information from the matter density field using the usual analysis tools developed for the power spectrum without the need for explicit calculation of higher-order correlators. In this work, we explore the optimal form of the mark function used for re-weighting the density field, to maximally constrain cosmology. We show that adding to the mark function or multiplying it by a constant leads to no additional information gain, which significantly reduces our search space for optimal marks. We quantify the information gain of this optimal function and compare it against mark functions previously proposed in the literature. We find that we can gain around ∼2 times smaller errors in 𝜎8 and ∼4 times smaller errors in Ω𝑚 compared to using the traditional power spectrum alone, an improvement of ∼60% compared to other proposed marks when applied to the same data set. |
| spellingShingle | Cowell, J Alonso, D Liu, J Optimising marked power spectra for cosmology |
| title | Optimising marked power spectra for cosmology |
| title_full | Optimising marked power spectra for cosmology |
| title_fullStr | Optimising marked power spectra for cosmology |
| title_full_unstemmed | Optimising marked power spectra for cosmology |
| title_short | Optimising marked power spectra for cosmology |
| title_sort | optimising marked power spectra for cosmology |
| work_keys_str_mv | AT cowellj optimisingmarkedpowerspectraforcosmology AT alonsod optimisingmarkedpowerspectraforcosmology AT liuj optimisingmarkedpowerspectraforcosmology |