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Full-Text Articles in Physical Sciences and Mathematics

Radical Recognition In Off-Line Handwritten Chinese Characters Using Non-Negative Matrix Factorization, Xiangying Shuai Jan 2016

Radical Recognition In Off-Line Handwritten Chinese Characters Using Non-Negative Matrix Factorization, Xiangying Shuai

Senior Projects Spring 2016

In the past decade, handwritten Chinese character recognition has received renewed interest with the emergence of touch screen devices. Other popular applications include on-line Chinese character dictionary look-up and visual translation in mobile phone applications. Due to the complex structure of Chinese characters, this classification task is not exactly an easy one, as it involves knowledge from mathematics, computer science, and linguistics.

Given a large image database of handwritten character data, the goal of my senior project is to use Non-Negative Matrix Factorization (NMF), a recent method for finding a suitable representation (parts-based representation) of image data, to detect specific …


On Elegance, Form, And Function: Exploring The Nexus Between Scientific Research And Movement Research, Naja N. Gordon Jan 2016

On Elegance, Form, And Function: Exploring The Nexus Between Scientific Research And Movement Research, Naja N. Gordon

Senior Projects Fall 2016

Live performance is an inimitable opportunity for a transfer of energy between viewer and performer. Through movement, I attempt to provide a foundation for this transfer. At the heart of my practice is a deep curiosity about movement as it relates to energy, a truly indestructible force. Moreover, systems need energy in order to function. When I think of a dance as a system, or a collection of dancers on stage as a system, the energy that feeds them is the energy that makes a composition .There is kinetic and potential energy within physical practice, incandescent energy from the lights, …


Random Walks On Thompson's Group F, Sarah C. Ghandour Jan 2016

Random Walks On Thompson's Group F, Sarah C. Ghandour

Senior Projects Fall 2016

In this paper we consider the statistical properties of random walks on Thompson’s group F . We use two-way forest diagrams to represent elements of F . First we describe the random walk of F by relating the steps of the walk to the possible interactions between two-way forest diagrams and the elements of {x0,x1}, the finite generating set of F, and their inverses. We then determine the long-term probabilistic and recurrence properties of the walk.