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- Algebraic statistics (1)
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Articles 1 - 7 of 7
Full-Text Articles in Physical Sciences and Mathematics
The Earth Mover's Distance Through The Lens Of Algebraic Combinatorics, William Quentin Erickson
The Earth Mover's Distance Through The Lens Of Algebraic Combinatorics, William Quentin Erickson
Theses and Dissertations
The earth mover's distance (EMD) is a metric for comparing two histograms, with burgeoning applications in image retrieval, computer vision, optimal transport, physics, cosmology, political science, epidemiology, and many other fields. In this thesis, however, we approach the EMD from three distinct viewpoints in algebraic combinatorics. First, by regarding the EMD as the symmetric difference of two Young diagrams, we use combinatorial arguments to answer statistical questions about histogram pairs. Second, we adopt as a natural model for the EMD a certain infinite-dimensional module, known as the first Wallach representation of the Lie algebra su(p,q), which arises in the Howe …
Spline Modeling And Localized Mutual Information Monitoring Of Pairwise Associations In Animal Movement, Andrew Benjamin Whetten
Spline Modeling And Localized Mutual Information Monitoring Of Pairwise Associations In Animal Movement, Andrew Benjamin Whetten
Theses and Dissertations
to a new era of remote sensing and geospatial analysis. In environmental science and conservation ecology, biotelemetric data recorded is often high-dimensional, spatially and/or temporally, and functional in nature, meaning that there is an underlying continuity to the biological process of interest. GPS-tracking of animal movement is commonly characterized by irregular time-recording of animal position, and the movement relationships between animals are prone to sudden change. In this dissertation, I propose a spline modeling approach for exploring interactions and time-dependent correlation between the movement of apex predators exhibiting territorial and territory-sharing behavior. A measure of localized mutual information (LMI) is …
A Study Of Machine Learning Techniques For Dynamical System Prediction, Rishi Pawar
A Study Of Machine Learning Techniques For Dynamical System Prediction, Rishi Pawar
Theses and Dissertations
Dynamical Systems are ubiquitous in mathematics and science and have been used to model many important application problems such as population dynamics, fluid flow, and control systems. However, some of them are challenging to construct from the traditional mathematical techniques. To combat such problems, various machine learning techniques exist that attempt to use collected data to form predictions that can approximate the dynamical system of interest. This thesis will study some basic machine learning techniques for predicting system dynamics from the data generated by test systems. In particular, the methods of Dynamic Mode Decomposition (DMD), Sparse Identification of Nonlinear Dynamics …
Design Optimal Health Insurance Policies From Multiple Perspectives, Lianlian Zhou
Design Optimal Health Insurance Policies From Multiple Perspectives, Lianlian Zhou
Theses and Dissertations
The majority of the literature about moral hazard focuses only on qualitative studies. If a health insurance plan imposes little copayment on the insured, the insured may be motivated to have more than necessary medical services, which would raise the insurer’s share of cost. This is referred to as moral hazard. Furthermore, the involvement of a third party–healthcare providers adds more complications on moral hazard. Healthcare providers and patients might choose to collaborate to benefit more from insurance reimbursement, which consequently result in unnecessary loss of the insurer. In this dissertation, we attempt to solve these issues and focus on …
Resident Doctor Duty Shift Scheduling In Tarragona, Spain, Anna Daniel Fuentes
Resident Doctor Duty Shift Scheduling In Tarragona, Spain, Anna Daniel Fuentes
Theses and Dissertations
The goal of this thesis is to create a computer algorithm to schedule family care resident doctors’ duty shifts in Tarragona, Spain. The algorithm considers European Working Time Directive regulations which limit the number of hours any worker can work in a year. Furthermore, each health center has different work time and staffing requirements, and the medical training program requirements change based on a resident’s level of experience also known as rank of residency. Fair scheduling is essential to healthcare workers’ rights to have time to recover between shifts while satisfying all the training requirements and regulations. Integer programming is …
Coarse Cohomology Of The Complement And Applications, Arka Banerjee
Coarse Cohomology Of The Complement And Applications, Arka Banerjee
Theses and Dissertations
John Roe [15] introduced the notion of coarse cohomology of a metric space to studylarge scale geometry of the space. Coarse cohomology of a metric space roughly measures the way in which uniformly large bounded set in that space fit together. In the first part of this dissertation, we describe a joint work with Boris Okun that generalizes Roe’s theory to define coarse (co)homology of complement of any given subspace in a metric space. Inspired by the work of Kapovich and Kleiner [12], we introduce a notion of a manifold like object in the coarse category (called coarse PD(n) space) …
Robust Estimation Of Ornstein-Uhlenbeck Parameters, Timon Sebastian Kramer
Robust Estimation Of Ornstein-Uhlenbeck Parameters, Timon Sebastian Kramer
Theses and Dissertations
The standard estimators of the parameter of the Ornstein-Uhlenbeck process are vulnerable to contamination in the data sets. In this thesis more robust estimators for the parameter of the Ornstein-Uhlenbeck process are proposed which use medians instead of means. The scaling for these estimators is more complex and numerical methods must be used. A possible numerical implementation is described. The performance of the standard estimators and the proposed robust estimators are compared on data sets with different levels of contamination and different kind of errors. This thesis shows that the proposed robust estimators can be considerably better than the standard …