Recent Submissions

  • Broad Learning for Healthcare 

    Cao, Bokai (2018-03-27)
    A broad spectrum of data from different modalities are generated in the healthcare domain every day, including scalar data (e.g., clinical measures collected at hospitals), tensor data (e.g., neuroimages analyzed by research ...
  • Rigid Multi-Motion Optical Flow Estimation 

    Gerlich, Tomas (2018-01-12)
    Optical flow is a fundamental problem in computer vision. Given a pair of image frames from a video source, the objective is to estimate the movement, or translation of pixels in the second image with respect to the first ...
  • An Iterative Spectral Approach to Recovering Planted Partitions 

    Cole, Samuel (2018-04-06)
    In the planted partition problem, the n vertices of a random graph are partitioned into k "clusters," and edges between vertices in the same cluster and different clusters are included with constant probability p and q, ...
  • Towards High Performance Determinism for Multithreaded Programs 

    Merrifield, Timothy M (2018-04-19)
    The emergence of multi-core commodity processors, and more recently accelerators, has brought about a resurgence of interest in parallel programming. With that renewed interest comes a concern amongst practitioners and ...
  • Algorithms and Implementations in Computational Algebraic Geometry 

    Sommars, Jeffrey C (2018-03-27)
    In this thesis, we explore several areas of computational algebraic geometry, and develop new algorithms and software in each. We are generally interested in solving polynomial systems and applications that require solving ...
  • New Models and Algorithms for Data Analysis 

    Fish, Benjamin (2018-04-11)
    In this thesis, we introduce and analyze new models and new algorithms for problems in data analysis. Many new challenges and constraints for data analysis have arisen as data analysis has become increasingly important. ...
  • Computing Series Expansions of Algebraic Space Curves 

    Bliss, Nathan R (2018-04-02)
    We work towards a series-based computational approach for polynomial systems having positive-dimensional solution sets. The tropical variety gives information on the exponents of the leading terms of the series; we provide ...
  • Improving Web Privacy And Security with a Cost-Benefit Analysis of the Web API 

    Snyder, Peter E (2018-04-17)
    Over the last two decades, the web has grown from a system for delivering static documents, to the world’s most popular application platform. As the web has become more popular and successful, browser vendors have added ...
  • Supporting Navigation with a Torso Wearable Tactile Display 

    Mateevitsi, Viktor A (2018-04-10)
    An estimated 253 million people in the world are blind and visually impaired. Visual impairments can significantly lower one's quality of life as they hamper the ability to perform otherwise simple tasks, like cooking a ...
  • Visual Analysis Techniques for Dynamic Biological Networks 

    Ma, Chihua (2018-04-09)
    Due to the complexity of biological data that can be collected, modeled and analyzed thanks to technological and algorithmic advancements, the difficulty in studying biological networks has increased over the last decades. ...
  • Optimal Design for Nonlinear Model with Random Effect and Information-Based Subdata Selection for LASSO 

    Wang, Xin (2017-12-20)
    Optimal designs for nonlinear model with random block effects are systematically studied. For a large class of nonlinear models, we prove that any optimal design can be based on some simple structures. We further derive the ...
  • Decision-Theoretic Monitoring of Cyber-Physical Systems 

    Yavolovsky, Andrey (2018-04-13)
    Cyber-physical systems (CPS) represent "engineered systems that are built from, and depend upon, the seamless integration of computational algorithms and physical components". They can be found in such areas as aerospace, ...
  • Hellinger Information and Optimal Design for Nonregular Models 

    Lin, Yi (2018-03-16)
    Classically, the Fisher information is the relevant object for defining optimal experimental designs. However, for models that lack certain regularity, the Fisher information does not exist and, hence, no notion of design ...
  • Arithmetic Properties of the Frobenius Traces Defined by a Rational Abelian Variety (with two appendices by J-P. Serre) 

    Cojocaru, AC; Davis, R; Silverberg, A; Stange, KE (Oxford University Press, 2017-06)
    Let A be an abelian variety over Q of dimension g such that the image of its associated absolute Galois representation rho(A) is open in GSp(2g)((Z) over cap). We investigate the arithmetic of the traces a(1,p) of the ...
  • Nuclear norm of higher-order tensors 

    Friedland, Shmuel; Lim, Lek-Heng (American Mathematical Society, 2016-11)
    We establish several mathematical and computational properties of the nuclear norm for higher-order tensors. We show that like tensor rank, tensor nuclear norm is dependent on the choice of base field --- the value of the ...
  • NUMERICAL SIMULATION OF GRATING STRUCTURES INCORPORATING TWO-DIMENSIONAL MATERIALS: A HIGH-ORDER PERTURBATION OF SURFACES FRAMEWORK 

    Nicholls, David (Society for Industrial and Applied Mathematics, 2018-01-02)
    The plasmonics of two-dimensional materials, such as graphene, has become an important field of study for devices operating in the terahertz to midinfrared regime where such phenomena are supported. The semimetallic character ...
  • AVERAGING OF NONLINEAR SCHRODINGER EQUATIONS ¨ WITH STRONG MAGNETIC CONFINEMENT 

    Frank, Rupert, L.; Mehats, Florian; Sparber, Christof (International Press, 2016-11)
    We consider the dynamics of nonlinear Schrödinger equations with strong constant magnetic fields. In an asymptotic scaling limit the system exhibits a purely magnetic confinement, based on the spectral properties of the ...
  • Nonparametric Independence Screening via Favored Smoothing Bandwidth 

    Feng, Yang; Wu, Yichao; Stefanski, Leonard (Elsevier, 2017-11-23)
    We propose a flexible nonparametric regression method for ultrahigh-dimensional data. As a first step, we propose a fast screening method based on the favored smoothing bandwidth of the marginal local constant regression. ...
  • Functional envelope for model-free sufficient dimension reduction 

    Zhang, Xin; Wang, Chong; Wu, Yichao (Elsevier, 2017-10)
    In this article, we introduce the functional envelope for sufficient dimension reduction and regression with functional and longitudinal data. Functional sufficient dimension reduction methods, especially the inverse ...
  • The tensor rank of tensor product of two three-qubit W states is eight 

    Chen, Lin; Friedland, Shmuel (Elsevier, 2017-08)
    We show that the tensor rank of tensor product of two three-qubit W states is not less than eight. Combining this result with the recent result of M. Christandl, A. K. Jensen, and J. Zuiddam that the tensor rank of tensor ...

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