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In this talk, we give an overall description of the construction of the collapsed flying-wing-like steady gradient solitons, as well as the high dimension non-collapsed steady gradient solitons. In pa...
Construction of uniform U designs     discrepancy  generalized wordtype pattern  U design  stochastic algorithm       font style='font-size:12px;'> 2016/1/26
Orthogonal array based-Latin hypercubes, also called U designs, have popularly been adopted for designing a computer experiment. The relationship between the averaged squared discrepancy of all U desi...
Construction of uniform U designs     discrepancy  generalized wordtype pattern  U design  stochastic algorithm       font style='font-size:12px;'> 2016/1/20
Orthogonal array based-Latin hypercubes, also called U designs, have popularly been adopted for designing a computer experiment. The relationship between the averaged squared discrepancy of all U desi...
In 1969, P. Deligne and D. Mumford compactified the modulispace of curves Mg,n. Their compactification Mg,n is a projective algebraic variety, and as such, it has an underlying analytic structure. Alt...
We establish a KMT coupling for the sequential empirical process and the KieferMüller process. The processesare indexed by functions f from a Hölder class H, but the supremum over f ∈ H is taken ...
We develop a Hungarian construction for the partial sum process of independent non-identically distributed random variables. The process is indexed by functions f from a class H, but the supremum over...
A Simple Manifold-Based Construction of Surfaces of Arbitrary Smoothness     Geometric modeling  manifolds       font style='font-size:12px;'> 2015/7/14
We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are h...
We develop a hierarchical matrix construction algorithm using matrix–vector multiplications, based on the randomized singular value decomposition of low-rank matrices. The algorithm uses Oelog nT appl...
We study a class of Gaussian random fields with negative correlations. These fields are easy to simulate. They are defined in a natural way from a Markov chain that has the index space of ...
Construction of fractional factorial split-plot designs with weak minimum aberration.
On the construction of normal mixed difference matrices.
Fractional factorial split-plot (FFSP) designs with minimum aberration have received much attention in industrial experiments. But they are not so easy to be constructed for the cases when there are...
On the construction of normal mixed difference matrices     Normal mixed difference matrix  Kronecker sum       font style='font-size:12px;'> 2015/3/18
By exploring the relationship between difference matrices and orthogonal decomposition of projection matrices, this paper presents a general method for constructing smaller normal mixed difference ma...
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions。
In this paper, we propose a dynamic B-spline technique using general form fourth order geometric PDEs. Basing on discretizaions of Laplace-Beltrami operator and Gaussian curvature over triangular an...

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