Carnegie Mellon University
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Innovative Techniques to Address the Non-linearity of the Large Scale Structure of the Universe

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posted on 2019-11-22, 16:16 authored by Siyu HeSiyu He
To fully understand the non-linear evolution of the large scale structure of the Universe and to extract useful information from the large scale structure are key subjects of modern cosmology. In this dissertation, I am going to address the non-linearity of the Universe from two new perspectives.
One way to study the non-linearity is to study laments, which evolve non-linearly from the initial density fluctuations produced in the primordial Universe. In the fi rst part of the dissertation, I am going to report the fi rst detection of CMB (Cosmic Microwave Background) lensing by laments. We propose a phenomenological model to interpret the detected signal, and we measure how laments trace the matter distribution on large scales through lament bias. In the second part of the dissertation, I will present the deep learning method as a practical and accurate alternative to learning the gravitational structure formation of the Universe. We build two deep neural networks, the D3M model and the multi-scale deep sets model, to predict the non-linear structure formation of the Universe. Our extensive results have shown our models outperform the second-order
perturbation theory. I will also discuss our e fforts in understanding the robustness of the trained deep learning model.

History

Date

2019-05-28

Degree Type

  • Dissertation

Department

  • Physics

Degree Name

  • Doctor of Philosophy (PhD)

Advisor(s)

Shirley Ho

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