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Your search keyword '"Thirey, Benjamin"' showing total 2 results
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2 results on '"Thirey, Benjamin"'

1. Distribution of Euclidean Distances Between Randomly Distributed Gaussian Points in n-Space

Author

Thirey, Benjamin and Hickman, Randal

Subjects
Mathematics - Probability, 60D05 (Primary) 52A38, 53C65 (Secondary)
Abstract

The curse of dimensionality is a common phenomenon which affects analysis of datasets characterized by large numbers of variables associated with each point. Problematic scenarios of this type frequently arise in classification algorithms which are heavily dependent upon distances between points, such as nearest-neighbor and $k$-means clustering. Given that contributing variables follow Gaussian distributions, this research derives the probability distribution that describes the distances between randomly generated points in n-space. The theoretical results are extended to examine additional properties of the distribution as the dimension becomes arbitrarily large. With this distribution of distances between randomly generated points in arbitrarily large dimensions, one can then determine the significance of distance measurements between any collection of individual points., Comment: 13 pages, 4 figures

Published
2015

2. Network Models of Entrepreneurial Ecosystems in Developing Economies.

Author

Evans, Daniel, Thirey, Benjamin, and Boguchwal, Louis

Subjects
ENTREPRENEURSHIP, SMALL business, ECONOMIC development, ECOSYSTEMS, ECONOMIC policy
Abstract

Development of Small and Medium Enterprises (SMEs) has been recognized as a key step in the progressive development of frontier and emerging economies. The social and economic environment is critical to the creation and success of the SMEs. Our project methodology seeks to develop insight into the establishment of social and economic criteria which facilitates the creation and success of SMEs. We have developed a quantitatively-oriented network methodology that accurately evaluates a local entrepreneurial ecosystem in terms of potential for growth and expansion. This innovative, yet simple, methodology is a variation of the Position Generator technique currently used to measure social capital. The results enable the identification of the most influential roles in a given local ecosystem. We further develop a model that illustrates the connections between these influential roles which then allows us to compare and contrast different local communities utilizing a uniform standard of measurement. [ABSTRACT FROM AUTHOR]

Published
2015

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