Essays In Bayesian Inference And Deep Learning

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Abstract

I have written three essays in the area of Bayesian inference and deep learning. The first essay uses the theory of normal variance-mean mixtures to derive a data augmentation scheme for models that include gamma functions. The second essay introduces and develops a weighted Bayesian bootstrap for machine learning and statistics. The last essay studies the characteristics-sorted factor model in empirical asset pricing and designs a nonreduced-form feedforward neural network with the non-arbitrage objective to minimize pricing errors.

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Title Essays in Bayesian Inference and Deep Learning Author Xu, Jianeng : University of Chicago Degree Type Ph.D. Content Type Dissertation Academic Advisor Nicholas Polson Committee Member Ruey Tsay Dacheng Xiu Veronika Rockova Keywords Data Augmentation; Deep learning; Exponential Reciprocal Gamma; Factor Model; Firm Characteristics; Weighted Bootstrap Subjects Statistics Digital Object Identifier https://doi.org/10.6082/uchicago.3392 Publication Date 2021-08 Language English Copyright Statement © 2021 Jianeng Xu Licensing CC BY-ND Record Appears in Booth School of Business > Booth School of Business Dissertations All Record Created 2021-09-29

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