Browsing by Author "Kable, Anthony C."
Now showing items 1-10 of 10
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Arithmetic properties of L-functions attached to Hilbert modular forms
Tanabe, Naomi (2012-07)Scope and Method of Study: The goal of this thesis is to study some arithmetic properties of L-functions attached to Hilbert modular forms. We mainly use a representation theoretical point of view for the study, which can ... -
Conformally invariant systems of differential operators associated to two-step nilpotent maximal parabolics of non-Heisenberg type
Kubo, Toshihisa (2012-05)Scope and Method of Study: The main work of this thesis concerns systems of differential operators that are equivariant under an action of a Lie algebra. We call such systems conformally invariant. The main goal of this ... -
Congruent number problem and elliptic curves
Schroeder, Harrison (2015-04-24)This paper explores the congruent number problem, which asks which rational numbers are areas of triangles with rational side lengths. We define a rational non-zero number that is the area of a rational triangle as a ... -
Enhanced recurrent network training
Jafari, Amir Hossein (2016-05)In this dissertation, we introduce new, more efficient, methods for training recurrent neural networks (RNNs). These methods are based on a new understanding of the error surfaces of RNNs that has been developed in recent ... -
Exceptional representations of the metaplectic double cover of the general linear group
Kable, Anthony C. (1997-05) -
On Unipotent Orbital Integrals for P-adic Groups
Yan, Pan (2016-05-01)In this thesis, we compute unipotent orbital integrals of spherical functions for $\text{SL}_2(F)$ where $F$ is a $p$-adic field. -
Recurrent neural networks: Error surface analysis and improved training
Phan, Manh Cong (2014-07)Recurrent neural networks (RNNs) have powerful computational abilities and could be used in a variety of applications; however, training these networks is still a difficult problem. One of the reasons that makes RNN training, ... -
Simultaneous confidence intervals using the restricted Scheffe method and sequential testing procedures for single-step methods
Zhang, Yimin (2014-05)Multiple comparison problems arise when a set of inferences are considered simultaneously. When a separate inference approach is used to answer multiple related questions, it can cause many false positives and lead to ... -
Stability analysis of recurrent neural-based controllers
Jafari, Reza (2012-05)Scope and Method of Study: