Now showing items 1-20 of 25

    • An Algebraic Exploration of Dominating Sets and Vizing's Conjecture 

      Margulies, S.; Hicks, I.V. (2012)
      Systems of polynomial equations are commonly used to model combinatorial problems such as independent set, graph coloring, Hamiltonian path, and others. We formulate the dominating set problem as a system of polynomial ...
    • Convergence of a high order method in time and space for the miscible displacement equations 

      Li, Jizhou; Riviere, Beatrice; Walkington, Noel (2015)
      A numerical method is formulated and analyzed for solving the miscible displacement problem under low regularity assumptions. The scheme employs discontinuous Galerkin time stepping with mixed and interior penalty discontinuous ...
    • Cytoplasmic sphingosine-1-phosphate pathway modulates neuronal autophagy 

      Manchon, Jose Felix Moruno; Uzor, Ndidi-Ese; Dabaghian, Yuri; Furr-Stimming, Erin E.; Finkbeiner, Steven; Tsvetkov, Andrey S. (2015)
      Autophagy is an important homeostatic mechanism that eliminates long-lived proteins, protein aggregates and damaged organelles. Its dysregulation is involved in many neurodegenerative disorders. Autophagy is therefore a ...
    • Edge Guided Reconstruction for Compressive Imaging 

      Guo, Weihong; Yin, Wotao (2012-07-03)
      We propose EdgeCS—an edge guided compressive sensing reconstruction approach—to recover images of higher quality from fewer measurements than the current methods. Edges are important image features that are used in various ...
    • The Effects of Theta Precession on Spatial Learning and Simplicial Complex Dynamics in a Topological Model of the Hippocampal Spatial Map 

      Arai, Mamiko; Brandt, Vicky; Dabaghian, Yuri (2014)
      Learning arises through the activity of large ensembles of cells, yet most of the data neuroscientists accumulate is at the level of individual neurons; we need models that can bridge this gap. We have taken spatial learning ...
    • Filtering Deterministic Layer Effects in Imaging 

      Borcea, L.; del Cueto, F. Gonzalez; Papanicolaou, G.; Tsogka, C. (2012)
      Sensor array imaging arises in applications such as nondestructive evaluation of materials with ultrasonic waves, seismic exploration, and radar. The sensors probe a medium with signals and record the resulting echoes, ...
    • Genetic Suppression of Transgenic APP Rescues Hypersynchronous Network Activity in a Mouse Model of Alzeimer's Disease 

      Born, Heather A.; Kim, Ji-Yoen; Savjani, Ricky R.; Das, Pritam; Dabaghian, Yuri A.; Guo, Qinxi; Yoo, Jong W.; Schuler, Dorothy R.; Cirrito, John R.; Zheng, Hui; Golde, Todd E.; Noebels, Jeffrey L.; Jankowsky, Joanna L. (2014)
      Alzheimer's disease (AD) is associated with an elevated risk for seizures that may be fundamentally connected to cognitive dysfunction. Supporting this link, many mouse models for AD exhibit abnormal electroencephalogram ...
    • Horizontal contraction in image domain for velocity inversion 

      Shen, Peng; Symes, William W. (2015)
      A kinematically correct choice of velocity focuses subsurface offset image gathers at a zero offset. Infinitesimal warping from the current image toward its focus can be approximated by a horizontal contraction. The image ...
    • Levetiracetam mitigates doxorubicin-induced DNA and synaptic damage in neurons 

      Manchon, Jose Felix Moruno; Dabaghian, Yuri; Uzor, Ndidi-Ese; Kesler, Shelli R.; Wefel, Jeffrey S.; Tsvetkov, Andrey S. (2016)
      Neurotoxicity may occur in cancer patients and survivors during or after chemotherapy. Cognitive deficits associated with neurotoxicity can be subtle or disabling and frequently include disturbances in memory, attention, ...
    • Limited Memory Block Krylov Subspace Optimization for Computing Dominant Singular Value Decompositions 

      Liu, Xin; Wen, Zaiwen; Zhang, Yin (2013)
      In many data-intensive applications, the use of principal component analysis and other related techniques is ubiquitous for dimension reduction, data mining, or other transformational purposes. Such transformations often ...
    • Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems 

      Leykekhman, Dmitriy; Heinkenschloss, Matthias (2012-08-15)
      This paper analyzes the local properties of the symmetric interior penalty upwind discontinuous Galerkin (SIPG) method for the numerical solution of optimal control problems governed by linear reaction-advection-diffusion ...
    • A mathematical framework for inverse wave problems in heterogeneous media 

      Blazek, Kirk D.; Stolk, Christiaan; Symes, William W. (2013)
      This paper provides a theoretical foundation for some common formulations of inverse problems in wave propagation, based on hyperbolic systems of linear integro-differential equations with bounded and measurable coefficients. ...
    • A Matrix-Free Trust-Region SQP Method for Equality Constrained Optimization 

      Heinkenschloss, Matthias; Ridzal, Denis (2014)
      We develop and analyze a trust-region sequential quadratic programming (SQP) method for the solution of smooth equality constrained optimization problems, which allows the inexact and hence iterative solution of linear ...
    • The Minimalᅠk-Core Problem for Modelingᅠ k-Assemblies 

      Wood, Cynthia I.; Hicks, Illya V. (2015)
      The concept of cell assembly was introduced by Hebb and formalized mathematically by Palm in the framework of graph theory. In the study of associative memory, a cell assembly is a group of neurons that are strongly connected ...
    • Model reduction of strong-weak neurons 

      Du, Bosen; Sorensen, Danny; Cox, Steven J. (2014)
      We consider neurons with large dendritic trees that are weakly excitable in the sense that back propagating action potentials are severly attenuated as they travel from the small, strongly excitable, spike initiation zone. ...
    • Modulation of Orthographic Decoding by Frontal Cortex 

      Whaley, Meagan Lee; Kadipasaoglu, Cihan Mehmet; Cox, Steven James; Tandon, Nitin (2016)
      Opinions are divided on whether word reading processes occur in a hierarchical, feedforward fashion or within an interactive framework. To critically evaluate these competing theories, we recorded electrocorticographic ...
    • A New Compressive Video Sensing Framework for Mobile Broadcast 

      Li, Chengbo; Jiang, Hong; Wilford, Paul; Zhang, Yin; Scheutzow, Mike (2013-03)
      A new video coding method based on compressive sampling is proposed. In this method, a video is coded using compressive measurements on video cubes. Video reconstruction is performed by minimization of total variation ...
    • A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems 

      Wirtz, D.; Sorensen, D.C.; Haasdonk, B. (2014)
      In this work an efficient approach for a posteriori error estimation for POD-DEIM reduced nonlinear dynamical systems is introduced. The considered nonlinear systems may also include time- and parameter-affine linear terms ...
    • Ritz Value for Non-Hermitian Matrices 

      Carden, Russell L.; Embree, Mark (2012)
      Rayleigh-Ritz eigenvalue estimates for Hermitian matrices obey Cauchy interlacing, which has helpful implications for theory, applications, and algorithms. In contrast, few results about the Ritz values of non-Hermitian ...
    • Short-term Recurrence Krylov Subspace Methods for Nearly Hermitian Matrices 

      Embree, Mark; Sifuentes, Josef A.; Soodhalter, Kirk M.; Szyld, Daniel B.; Xue, Fei (2012)
      The progressive GMRES algorithm, introduced by Beckermann and Reichel in 2008, is a residual-minimizing short-recurrence Krylov subspace method for solving a linear system in which the coefficient matrix has a low-rank ...