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A Dance with the Langevin Equation
Title:
A Dance with the Langevin Equation
Author:
Nijkamp, Erik Lennart, author.
ISBN:
9780438081741
Personal Author:
Physical Description:
1 electronic resource (39 pages)
General Note:
Source: Masters Abstracts International, Volume: 57-06M(E).
Advisors: Song-Chun Zhu; Ying Nian Wu Committee members: Chad J. Hazlett; Ying Nian Wu; Song-Chun Zhu.
Abstract:
In this thesis, we shall discuss the Langevin equation. While the equation is well known in Statistical Physics, we show novel adaptions to the field of Machine Learning. In particular, we elaborate briefly on a recipe in an unsupervised learning scheme. That is, we introduce an irreversible Langevin sampler to accelerate Contrastive Divergence. This adjustment to the Langevin equation, as such, improves the convergence behavior towards the equilibrium by injecting a vector field C(x) satisfying some conditions derived from the Fokker-Planck equation. In particular, C(x) motivates the particles in the negative phase to dance such that convergence of system towards its thermal equilibrium state is accelerated. We illustrate an application in the form of learning a Gaussian-Bernoulli Restricted-Boltzmann machine.
Local Note:
School code: 0031
Subject Term:
Added Corporate Author:
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Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| XX(695120.1) | 695120-1001 | Proquest E-Thesis Collection | Searching... |
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