http://hdl.handle.net/1903/2793

Recent Submissions

• Nonlinear Analysis of Phase Retrieval and Deep Learning ﻿

(2017)
Nonlinearity causes information loss. The phase retrieval problem, or the phaseless reconstruction problem, seeks to reconstruct a signal from the magnitudes of linear measurements. With a more complicated design, convolutional ...
• Two Goodness-of-Fit Tests for the Density Ratio Model ﻿

(2017)
Under consideration are goodness-of-fit tests for the \textit{density ratio model}. The model stipulates that the log-likelihood ratio of two unknown densities is of a known form which depends on finite dimensional parameters ...
• Transfer of Representations and Orbital Integrals of Inner Forms of GL_n ﻿

(2016)
Let $F$ be a nonarchimedean local field and $D$ an $F$-central division algebra. We characterize the Local Langlands Correspondence (LLC) for inner forms of $GL_n$ over $F$ via the Jacquet-Langlands Correspondence and ...
• Spectral Analysis of Markov Jump Processes with Rare Transitions: A Graph-Algorithmic Approach ﻿

(2017)
Parameter-dependent Markov jump processes with exponentially small transition rates arise in modeling complex systems in physics, chemistry, and biology. Long-term dynamics of these processes are largely governed by the ...
• Exponentiation of Motivic Zeta Functions ﻿

(2017)
We provide a formula for the generating series of the Weil zeta function $Z(X,t)$ of symmetric powers $\Sym^n X$ of varieties $X$ over finite fields. This realizes the zeta function $Z(X,t)$ as an exponentiable measure ...