In classical cosmological analysis of large scale structure surveys with 2-pt functions, the parameter measurement precision is limited by several key degeneracies within the cosmology and astrophysics sectors. For cosmic shear, clustering amplitude $σ_8$ and matter density $Ω_m$ roughly follow the $S_8=σ_8(Ω_m/0.3)^{0.5}$ relation. In turn, $S_8$ is highly correlated with the intrinsic galaxy alignment amplitude $A_{\rm{IA}}$. For galaxy clustering, the bias $b_g$ is degenerate with both $σ_8$ and $Ω_m$, as well as the stochasticity $r_g$. Moreover, the redshift evolution of IA and bias can cause further parameter confusion. A tomographic 2-pt probe combination can partially lift these degeneracies. In this work we demonstrate that a deep learning analysis of combined probes of weak gravitational lensing and galaxy clustering, which we call DeepLSS, can effectively break these degeneracies and yield significantly more precise constraints on $σ_8$, $Ω_m$, $A_{\rm{IA}}$, $b_g$, $r_g$, and IA redshift evolution parameter $η_{\rm{IA}}$. The most significant gains are in the IA sector: the precision of $A_{\rm{IA}}$ is increased by approximately 8x and is almost perfectly decorrelated from $S_8$. Galaxy bias $b_g$ is improved by 1.5x, stochasticity $r_g$ by 3x, and the redshift evolution $η_{\rm{IA}}$ and $η_b$ by 1.6x. Breaking these degeneracies leads to a significant gain in constraining power for $σ_8$ and $Ω_m$, with the figure of merit improved by 15x. We give an intuitive explanation for the origin of this information gain using sensitivity maps. These results indicate that the fully numerical, map-based forward modeling approach to cosmological inference with machine learning may play an important role in upcoming LSS surveys. We discuss perspectives and challenges in its practical deployment for a full survey analysis.
Angular power spectrum of induced gravitational waves: breaking model and parameter degeneracies in PTA observations
Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University（天津大学理学院量子联合研究中心及物理系）；School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences（中国科学院大学杭州高等研究院基础科学与数学学院）；Department of Mathematics and Physics, Huai’an University（淮阴师范学院数学与物理学院）
The SLUGGS Survey: Breaking degeneracies between dark matter, anisotropy and the IMF using globular cluster subpopulations in the giant elliptical NGC 5846
Breaking binary formation mechanism degeneracies with gravitational wave clustering
Università degli Studi di Padova（帕多瓦大学）；INFN, Sezione di Padova（意大利国家核物理研究所帕多瓦分部）；INAF - Osservatorio Astronomico di Padova（意大利国家天体物理研究所帕多瓦天文台）；Scuola Internazionale Superiore di Studi Avanzati（国际高等研究院）；University of Trento（特伦托大学）；Ben-Gurion University of the Negev（内盖夫本-古里安大学）；Universität Heidelberg（海德堡大学）
The Marked Power Spectrum as a Practical Bispectrum Measure for Galaxy Redshift Surveys
University of California, Berkeley（加州大学伯克利分校）；Berkeley Center for Cosmological Physics, UC Berkeley（加州大学伯克利分校宇宙学物理中心）；Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室）
