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Recent Submissions

  • Nonlinear Analysis of Phase Retrieval and Deep Learning 

    Zou, Dongmian (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 

    Yu, Luquan (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 

    Cohen, Jonathan (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 

    Gan, Tingyue (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 

    Huang, Jonathan Andrew (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 ...

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