Physical Sciences and Mathematics Commons^™

On M-Estimation: From Theory To Examples, Alexander Yuan

Master's Theses

M-estimation provides a unified framework for statistical procedures defined as optimizers of data-dependent criterion functions. This thesis gives an expository account of M-estimation in classical and high-dimensional settings. The classical part develops weak convergence, empirical process tools, and the argmax framework for studying consistency, rates of convergence, and weak limits. Examples including least squares, maximum likelihood, robust location estimation, change-point estimation, and empirical risk minimization illustrate regular and non-regular asymptotic behavior.

The high-dimensional part studies regularized M-estimators, where the focus shifts to finite-sample error bounds and model selection guarantees. Topics include decomposable regularizers, restricted strong convexity, non-convex penalties, and sparsistency. …

High-Resolution Queries, Low-Resolution Context: Scaling Vision Transformers With Asymmetric Spatial Reduction, James M. Dwyer

Master's Theses

Vision Transformers (ViTs) have demonstrated great performance on image classifica tion benchmarks, however, the quadratic complexity of the self-attention mechanism with respect to sequence length limits their scalability to higher resolution inputs. The attention score matrix grows as O(N2) in both compute and memory, where N is the number of patch tokens, making ViTs computationally expensive and memory intensive for applications that require real-time inference or operate under resource constraints.

This thesis investigates whether the key and value sequences of the self-attention mechanism can be compressed using the local spatial structure of the image — while keeping queries at full …

Scorespeak: An Agentic System For Natural Language Control Of Musical Scores, Nathan S. Lim

Master's Theses

With the recent popularization of large language models (LLMs), natural language has become one of the most accessible and powerful ways for people to interact with creative tools. Although they have become common in mainstream domains like image and audio editing, there is currently no robust AI-based system that can reliably turn free-form language into edits for symbolic musical scores. This gap represents a missed opportunity to improve human workflows for creating and editing sheet music, but it is also a fundamental limitation for other agentic music systems; without a robust mechanism for translating free-form language into structured scores, AI …

Structured Dynamic Factor Analysis Of Environmental Time Series With Application To Morro Bay Estuary, Jose Garcia

Master's Theses

This thesis develops a structured dynamic factor analysis (sDFA) framework for decomposing multivariate environmental time series into latent biological and physical components. The methodology is applied to five years of high-resolution passive monitoring data collected from two sites in Morro Bay, California from 2020 through 2024. Relative contribution indices are developed based on the structured DFA that measure how much each latent process contributes to each observed variable at any given time. Structured DFA models fit to the application data suggest site-specific patterns in how biological and physical processes affect water quality variables. At the bay mouth location, physical processes …

2026 June - Tennessee Climate Snapshot, Tennessee Climate Office, East Tennessee State University

Tennessee Climate Office Monthly Reports

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Mgrre_Thinsections_Mgrre-101_3, Mgrre

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Mgrre_Thinsections_Mgrre-101_4, Mgrre

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Mgrre_Thinsections_Mgrre-101_5, Mgrre

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Mgrre_Thinsections_Mgrre-101_7, Mgrre

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Mgrre_Thinsections_Mgrre-101_9, Mgrre

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Mgrre_Thinsections_Mgrre-101_10, Mgrre

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Mgrre_Thinsections_Mgrre-101_14, Mgrre

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Mgrre_Thinsections_Mgrre-101_15, Mgrre

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Mgrre_Thinsections_Mgrre-101_13, Mgrre

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Mgrre_Thinsections_Mgrre-101_19, Mgrre

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Mgrre_Thinsections_Mgrre-101_25, Mgrre

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Mgrre_Thinsections_Mgrre-101_2, Mgrre

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Mgrre_Thinsections_Mgrre-101_3, Mgrre

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Mgrre_Thinsections_Mgrre-101_1, Mgrre

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Mgrre_Thinsections_Mgrre-101_5, Mgrre

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Mgrre_Thinsections_Mgrre-101_8, Mgrre

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Mgrre_Thinsections_Mgrre-101_9, Mgrre

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Mgrre_Thinsections_Mgrre-101_7, Mgrre

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Mgrre_Thinsections_Mgrre-101_11, Mgrre

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Mgrre_Thinsections_Mgrre-101_13, Mgrre

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Mgrre_Thinsections_Mgrre-101_10, Mgrre

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Mgrre_Thinsections_Mgrre-101_12, Mgrre

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