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On advancing MCMC-based methods for ...
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Iowa State University.
On advancing MCMC-based methods for Markovian data structures with applications to deep learning, simulation, and resampling.
Record Type:
Language materials, manuscript : Monograph/item
Title/Author:
On advancing MCMC-based methods for Markovian data structures with applications to deep learning, simulation, and resampling./
Author:
Kaplan, Andrea.
Description:
1 online resource (127 pages)
Notes:
Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.
Contained By:
Dissertation Abstracts International79-02B(E).
Subject:
Statistics. -
Online resource:
click for full text (PQDT)
ISBN:
9780355335415
On advancing MCMC-based methods for Markovian data structures with applications to deep learning, simulation, and resampling.
Kaplan, Andrea.
On advancing MCMC-based methods for Markovian data structures with applications to deep learning, simulation, and resampling.
- 1 online resource (127 pages)
Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.
Thesis (Ph.D.)
Includes bibliographical references
Markov chain Monte Carlo (MCMC) is a computational statistical approach for numerically approximating distributional quantities useful for inference that might otherwise be intractable to directly calculate. A challenge with MCMC methods is developing implementations which are both statistically rigorous and computationally scalable to large data sets. This work generally aims to bridge these aspects by exploiting conditional independence, or Markov structures, in data models. Chapter 2 investigates the model properties and Bayesian fitting of a graph model with Markovian dependence used in deep machine learning and image classification, called a restricted Bolzmann machine (RBM), and Chapter 3 presents a framework for describing inherent instability in a general class of models which includes RBMs. Chapters 4 and 5 introduce a fast method for simulating data from a Markov Random Field (MRF) by exploiting conditional independence specified in the model and a flexible R package that implements the approach in C++.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018
Mode of access: World Wide Web
ISBN: 9780355335415Subjects--Topical Terms:
556824
Statistics.
Index Terms--Genre/Form:
554714
Electronic books.
On advancing MCMC-based methods for Markovian data structures with applications to deep learning, simulation, and resampling.
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On advancing MCMC-based methods for Markovian data structures with applications to deep learning, simulation, and resampling.
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Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.
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Iowa State University
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Markov chain Monte Carlo (MCMC) is a computational statistical approach for numerically approximating distributional quantities useful for inference that might otherwise be intractable to directly calculate. A challenge with MCMC methods is developing implementations which are both statistically rigorous and computationally scalable to large data sets. This work generally aims to bridge these aspects by exploiting conditional independence, or Markov structures, in data models. Chapter 2 investigates the model properties and Bayesian fitting of a graph model with Markovian dependence used in deep machine learning and image classification, called a restricted Bolzmann machine (RBM), and Chapter 3 presents a framework for describing inherent instability in a general class of models which includes RBMs. Chapters 4 and 5 introduce a fast method for simulating data from a Markov Random Field (MRF) by exploiting conditional independence specified in the model and a flexible R package that implements the approach in C++.
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Ann Arbor, Mich. :
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2018
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Mode of access: World Wide Web
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click for full text (PQDT)
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