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 ...
  • 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 ...
  • Turán problems and shadows III: Expansions of graphs 

    Kostochka, A.; Mubayi, D.; Verstraëte, J. (Society for Industrial and Applied Mathematics, 2015)
    The expansion G+ of a graph G is the 3-uniform hypergraph obtained from G by enlarging each edge of G with a new vertex disjoint from V (G) such that distinct edges are enlarged by distinct vertices. Let ex3(n, F) denote ...
  • Two dimensional Yau-Hausdorff distance with applications on comparison of DNA and protein sequences 

    Tian, K.; Yang, X.; Kong, Q.; Yin, C.; He, R. L.; Yau, S. S. T. (Public Library of Science, 2015-09-18)
    Comparing DNA or protein sequences plays an important role in the functional analysis of genomes. Despite many methods available for sequences comparison, few methods retain the information content of sequences. We propose ...
  • An Alternate Proof Of Wise's Malnormal Special Quotient Theorem. 

    Agol, I; Groves, D; Manning, JF (Cambridge University Press, 2016)
    We give an alternate proof of Wise's Malnormal Special Quotient Theorem (MSQT), avoiding cubical small cancellation theory. We also show how to deduce Wise's Quasiconvex Hierarchy Theorem from the MSQT and theorems of ...
  • Minimum Clinically Important Difference in Medical Studies 

    Hedayat AS; Wang J; Xu T (Wiley, 2015-03-01)
    In clinical trials, minimum clinically important difference (MCID) has attracted increasing interest as an important supportive clinical and statistical inference tool. Many estimation methods have been developed based ...
  • Interface control and snow crystal growth. 

    Li, J; Schaposnik, LP (American Physical Society, 2016-02-08)
    The growth of snow crystals is dependent on the temperature and saturation of the environment. In the case of dendrites, Reiter's local two-dimensional model provides a realistic approach to the study of dendrite growth. ...

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