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Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
Most of the data encountered is bounded nonlinear data. The Universe is bounded, planets are sphere like shaped objects, and life growing on Earth comes in various shapes and colors that can hardly be represented as points on a linear...
Our work builds on that of Barbot and Fenley to generalize Bonatti and Langevin's famous construction of a graph manifold with pseudo-Anosov flow in which all Seiftert fibered pieces of the torus decomposition are periodic. We provide...
The neuroendocrine system presents a diversity of patterns in hormone secretion across a large range of temporal scales. These patterns of secretion are crucial to many aspects of animal survival and behavior. This offers a wealth of...
Chan-Vese is a level set method that simultaneously evolves a level set surface and fits locally constant intensity models for the interior and exterior regions to minimize a Mumford-Shah integral. However, the length-based contour...
Algorithmic Lung Nodule Analysis in Chest Tomography Images: Lung Nodule Malignancy Likelihood Prediction and a Statistical Extension of the Level Set Image Segmentation Method
Lung cancer has the highest mortality rate of all cancers in both men and women in the United States. The algorithmic detection, characterization, and diagnosis of abnormalities found in chest CT scan images can aid radiologists by...
Living systems consist of several complex interacting components. Depending on the complexity of the organism, these components can span from molecules to tissues and organs. Systems biology is the interdisciplinary field of study that...
According to rapid development in information technology, limit order books(LOB) mechanism has emerged to prevail in today's nancial market. In this paper, we propose ensemble machine learning architectures for capturing the dynamics of...
The generation, correction, and simplification of brain surfaces from magnetic resonance imaging (MRI) data are important for studying brain characteristics, diseases, and functionality. Changes in cortical surfaces are used to compare...
Since the number of digital images is growing explosively, content based image retrieval becomes an active research area to automatically index and retrieve images based on their semantic features and visual appearance. Content based...
Tolerant bacteria enmeshed in a biofilm causes several difficult to treat illnesses like tuberculosis, chronic pneumonia, and chronic inner ear infections. These diseases typically respond poorly to antibiotics due to high tolerance....
Dissertation focuses on exploring the capabilities of the SRSF statistical shape analysis framework through various applications. Each application gives rise to a specific mathematical shape analysis model. The theoretical investigation...
The Langevin algorithms are a collection of powerful optimization algorithms and Markov Chain Monte Carlo sampling algorithms that provide computational foundations for high dimensional data in machine learning. We first review variants...
In many pattern classification problems, efficiently learning a suitable low-dimensional representation of high dimensional data is essential. The advantages of linear dimension reduction methods are their simplicity and efficiency....
Brain mapping studies the structure and function of the brain through imaging techniques in an effort to relate function to specific anatomical regions. The highly folded nature of the human brain makes visualization difficult; thus...
Given an edge-oriented polygonal graph in R3, we describe a method for computing the writhe as the average of weighted directional writhe numbers of the graph in a few directions. These directions are determined by the graph and the...
We investigate two problems in elastic curve shape analysis, working within the context of the square root velocity (SRV) framework. The first of these is to develop specialized algorithms for the analysis of one-dimensional curves, ...
In this dissertation we will discuss geodesics between open curves and also between closed curves in Rn where n ≥ 2. In order to calculate these geodesics, we will form a Riemannian metric on a space of smooth curves with non-vanishing...
Learned motor patterns such as speaking, playing musical instruments and dancing require a defined sequence of movements. The mechanism of acquiring and perfecting these types of learned behaviors involve a highly complex neurological...
Hypernetworks, sometimes called hypergraphs, generalize the concept of a graph by allowing edges to join any number of vertices, gaining the ability to capture multi-way relationships in data. This hypernetwork representation can...
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