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研究生: 郭瀚翔
Kuo, Han-Shiang
論文名稱: Universal Gravitational Wave Parameter Estimation by Deep Learning
Universal Gravitational Wave Parameter Estimation by Deep Learning
指導教授: 林豐利
Lin, Feng-Li
口試委員: 卜宏毅
Pu, Hung-Yi
劉國欽
Liu, Guo-Chin
林豐利
Lin, Feng-Li
口試日期: 2021/07/26
學位類別: 碩士
Master
系所名稱: 物理學系
Department of Physics
論文出版年: 2021
畢業學年度: 109
語文別: 英文
論文頁數: 67
英文關鍵詞: Gravitational wave, General relativity, Data analysis, Matched filter, Parameter estimation, Deep learning, Conditional variational autoencoder, Normalizing flow
研究方法: 次級資料分析
DOI URL: http://doi.org/10.6345/NTNU202101110
論文種類: 學術論文
相關次數: 點閱:149下載:22
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  • As the improvement of gravitational wave detectors, gravitational
    wave events become more and more popular which opens a new win-
    dow of astronomy. In 2017, a binary neutron star event, GW170817,
    has been detected through the gravitational wave and also the electro-
    magnetic signal. After that, people start to consider an efficient way
    to detect the GW and extract its dynamics parameters. In this thesis,
    we construct a Bayesian inference based on deep learning machine,
    CVAE, for the parameter estimation of binary black hole coalescence.
    This machine can obtain the inference of 5-dimensional parameters of
    the GW event within one second, where the parameters are two com-
    ponent mass m1 , m2 , luminosity distance dL , and time and phase of
    coalescence (tc , φ0 ). Since the noise of real detectors varies from time
    to time, in contract to previous CVAE envelopments, we train our
    machine not only by strain data but also the corresponding amplitude
    spectrum density, which is used to characterize the noise background.
    We find our machine can obtain the compatible result in comparison
    to traditional PE algorithm even with the noise drift, which means
    the noise background varies event by event. Finally, we apply our
    machine to the LIGO/Virgo third observing run (O3) events to test
    the performance of our machine against real data.

    Contents 1 Introduction 1 1.1 Background of gravitational wave observation 1 1.1.1 background 1 1.1.2 Basic data analysis for gravitational wave 4 1.1.3 Parameters Estimation 5 1.1.4 Introduction to Markov Chain Monte Carlo and nested sampling 7 1.2 Background of deep learning and autoencoder 9 1.2.1 Basic concept of deep learning 9 1.2.2 Conditional variational autoencoder 10 1.2.3 Normalizing flow 13 1.2.4 MNIST as an example 16 1.3 Applications of deep learning to GW data analysis 19 1.3.1 Application to low latency detection 20 1.3.2 Application to parameter estimation 21 2 Review of Parameter estimation by CVAE 23 2.1 Parameter estimation by CVAE 23 2.1.1 The cost function 23 2.1.2 The training procedure 25 2.1.3 Observation 27 2.2 Parameter estimation with autoregressive neural network 31 2.2.1 Autoregressive flow 33 2.2.2 Combined models 35 2.2.3 Observation 36 3 Universal CVAE model with PSD condition 39 3.1 Motivation 39 3.2 Preparation of training data 40 3.3 The detailed structure of CVAE model 42 3.4 Training the CVAE Model and the Performance 44 3.5 Application to O3 events 53 3.6 Summary of chapter 3 56 4 Conclusion 58 Glossaries and Acronyms 60 Bibliography 62

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