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An investigation in size reduction in neural networks

Creator:: Warren, Andrew Howard
Abstract:: In this thesis, the reduction of neural networks is studied. A new, largely automatic method is developed for reducing a neural network, and its capabilities are analyzed and compared with current methods. An example is presented that is irreducible via existing techniques, but is reducible by the new method. Factors...
Resource Type:: Masters Thesis
Full Text:: Privacy Abstract Approved: Robert M. Burton Abstract In this thesis, the reduction of neural networks is

How the perceptron reacts on non-separable classification problems

Creator:: Venema, Rienk S.
Abstract:: Neural networks are models which have been developed to simulate the anatomy of the nervous system. The connection between the elements of these networks, the so called artificial neurons, is similar to the connection between the biological neurons. In developing neural networks people are trying to create systems which have...
Resource Type:: Masters Thesis
Full Text:: -Separable Classification Problems Abstract approved: Robert M. Burton Neural networks are models which

A reinterpretation, and new demonstrations of, the Borel Normal Number Theorem

Creator:: Rockwell, Daniel Luke
Abstract:: The notion of a normal number and the Normal Number Theorem date back over 100 years. Émile Borel first stated his Normal Number Theorem in 1909. Despite their seemingly basic nature, normal numbers are still engaging many mathematicians to this day. In this paper, we provide a reinterpretation of the...
Resource Type:: Dissertation
Full Text:: , and New Demonstrations of, the Borel Normal Number Theorem Abstract approved: Robert M. Burton The

Notions of complexity in substitution dynamical systems

Creator:: Wing, David Josiah
Abstract:: There has been a lot of work done in recent decades in the field of symbolic dynamics. Much attention has been paid to the so-called "complexity" function, which gives a sense of the rate at which the number of words in the system grow. In this paper, we explore this...
Resource Type:: Dissertation
Full Text:: in Substitution Dynamical Systems Abstract approved: Robert M. Burton There has been a lot of work

On straight line representations of random planar graphs

Creator:: Choi, In-kyeong
Resource Type:: Dissertation

One-dependence and k-block factors

Creator:: Goulet, Marc
Resource Type:: Dissertation

Central limit theorems for associated random fields with applications

Creator:: Kim, Tae-sung
Abstract:: A functional central limit theorem for a strictly stationary associated random field in the general d-dimension case with an added moment condition is proven. Functional central limit theorems for associated random measures are also proven. More specifically, conditions are given that imply weak convergence in the Skorohod topology of a...
Resource Type:: Dissertation

Dependent site percolation models

Creator:: Krouss, Paul R.
Resource Type:: Dissertation

Large deviation principles for random measures

Creator:: Hwang, Dae-sik
Abstract:: Large deviation theory has experienced much development and interest in the last two decades. A large deviation principle is the exponential decay of the probability of increasingly rare events and the computation of a rate or entropy function which measures the rate of decay. Within the probability literature there has...
Resource Type:: Dissertation

Densities and dependence for point processes

Creator:: Franzosa, Marie M.
Abstract:: Product densities have been widely used in the literature to give a concrete description of the distribution of a point process. A rigorous description of properties of product densities is presented with examples to show that in some sense these results are the best possible. Product densities are then used...
Resource Type:: Dissertation

ScholarsArchive@OSU

An investigation in size reduction in neural networks

How the perceptron reacts on non-separable classification problems

A reinterpretation, and new demonstrations of, the Borel Normal Number Theorem

Notions of complexity in substitution dynamical systems

On straight line representations of random planar graphs

One-dependence and k-block factors

Central limit theorems for associated random fields with applications

Dependent site percolation models

Large deviation principles for random measures

Densities and dependence for point processes

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