Recent Submissions

  • 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 ...
  • Large portfolio allocation using high-frequency financial data 

    Zou, Jian; Wang, Fangfang; Wu, Yichao (International Press, 2018-01)
    Asset allocation strategy involves dividing an investment portfolio among different assets according to their risk levels. In recent decades, estimating volatilities of asset returns based on high-frequency data has emerged ...
  • Generalized Conditional Gradient for Sparse Estimation 

    Yu, Yaoliang; Zhang, Xinhua; Schuurmans, Dale (Journal of Machine Learning Research, 2017-01)
    Sparsity is an important modeling tool that expands the applicability of convex formulations for data analysis, however it also creates significant challenges for efficient algorithm design. In this paper we investigate ...
  • D-OPTIMAL DESIGNS WITH ORDERED CATEGORICAL DATA 

    Yang, J; Tong, LP; Mandal, A (STATISTICA SINICA, 2017-10)
    Cumulative link models have been widely used for ordered categorical responses. Uniform allocation of experimental units is commonly used in practice, but often suffers from a lack of efficiency. We consider D-optimal ...
  • Optimal designs for 2k factorial experiments with binary response 

    Yang, J.; Mandal, A.; Majumdar, D. (Academia Sinica, Institute of Statistical Science, 2016)
    We consider the problem of obtaining D-optimal designs for factorial experiments with a binary response and k qualitative factors each at two levels. We obtain a characterization of locally D-optimal designs. We then ...
  • A pathology of asymptotic multiplicity in the relative setting 

    Lesieutre, J. (International Press, 2015-02-10)
    We point out an example of a projective family π : X → S, a π-pseudoeffective divisor D on X, and a subvariety V ⊂ X for which the asymptotic multiplicity σV (D; X/S) is infinite. This shows that the divisorial Zariski ...
  • An Analysis of Multivariate Final-Offer Arbitration 

    Powers, Brian Reed (2016-09-08)
    When negotiations fail, arbitration is often an effective means by which a binding resolution can be found. To address the many shortcomings of conventional arbitration, many industries have been using a variation called ...
  • Ulrich Schur Bundles on Flag Varieties 

    Coskun, Izzet; Costa, Laura; Huizenga, Jack; Miró-Roig, Rosa Maria; Woolf, Matthew (Academic Press Inc., 2017-03-15)
    In this paper, we study equivariant vector bundles on partial flag varieties arising from Schur functors. We show that a partial flag variety with three or more steps does not admit an Ulrich bundle of this form with ...
  • Effective Cones of Cycles on Blow-ups of Projective Space 

    Coskun, Izzet; Lesieutre, John; Ottem, John Christian (Mathematical Sciences Publishers, 2016-03-15)
    In this paper, we study the cones of higher codimension (pseudo)effective cycles on point blow-ups of projective space. We determine bounds on the number of points for which these cones are generated by the classes of ...
  • On the evolution of scattering data under perturbations of the Toda lattice 

    Bilman, D; Nenciu, I (Elsevier, 2016-09)
    We present the results of an analytical and numerical study of the long-time behavior for certain Fermi-Pasta-Ulam (FPU) lattices viewed as perturbations of the completely integrable Toda lattice. Our main tools are the ...
  • Constructing many atomic models in ℵ1 

    Baldwin, JT; Laskowski, MC; Shelah, S (Association for Symbolic Logic, 2016-09)
    We introduce the notion of pseudo-algebraicity to study atomic models of first order theories (equivalently models of a complete sentence of Lω1,ω). Theorem: Let T be any complete first-order theory in a countable language ...
  • Decoupling Of Deficiency Indices And Applications To Schrodinger-Type Operators With Possibly Strongly Singular Potentisld. 

    GESZTESY F; MITREA M; NENCIU I; TESCHL G (Elsevier Inc., 2016-10)
    We investigate closed, symmetric L2 (Rn)-realizations H of Schr¨odinger-type operators (−∆ + V ) C∞0 (Rn\Σ) whose potential coefficient V has a countable number of well-separated singularities on compact sets Σj , j ...
  • Inertia of Loewner matrices. 

    Bhatia R; Friedland S; Jain T (Indiana University Mathematics Journal, 2016)
    Given positive numbers p_1 < p_2 < ... < p_n, and a real number r let L_r be the n by n matrix with its (i,j) entry equal to (p_i^r-p_j^r)/(p_i-p_j). A well-known theorem of C. Loewner says that L_r is positive definite ...
  • The Effective Cone of Moduli Spaces of Sheaves on a Smooth Quadric Surface 

    Ryan, Timothy L. (2016-10-19)
    In this paper, we provide an approach to computing the effective cone of moduli spaces of sheaves on a smooth quadric surface. We find Brill-Noether divisors spanning extremal rays of the effective cone using resolutions ...
  • Model Theory and Extremal Combinatorics: Structure, Enumeration, and 0-1 Laws 

    Terry, Caroline (2016-10-19)
    This thesis investigates connections between model theory and extremal combinatorics. The first part of the thesis consists of an analysis of discrete metric spaces and multigraphs, from the point of view of extremal ...
  • Compact Structures in Descriptive Classification Theory 

    Zielinski, Joseph R. (2016-10-19)
    An equivalence relation, E, on a Polish topological space, X, is Borel reducible to another, F, on Y, when there is a Borel-measurable function from X to Y assigning F-classes as complete invariants for E. Descriptive ...
  • Studies on Some Inferential Aspects of Graybill-Deal Estimators 

    Nie, Keyu (2016-10-19)
    This dissertation included two elds in the application of Statistical Inference, specialized in Meta Analysis and Estimation Theory viz. : `Estimation of Common Mean' and `function Estimation'. Part A Estimation of Common ...

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