The University of Hong Kong  Institute of Mathematical Research


IMR Preprint Series 2019

IMR2019: # Author(s) Title
#01Wang, Z. & Zhang, Z.A mesh-free method for interface problems using the deep learning approach
#02Li, S., Wang, Z. & Zhang, Z. (with Yau, S.S.T.)Solving high-dimensional nonlinear filtering problems using a tensor train decomposition method
#03Zang, W. (with Chen, G. & Jing, G.)Proof of the Goldberg-Seymour Conjecture on Edge-Colorings of Multigraphs
#04Mok, N.Rigidity of certain admissible pairs of rational homogeneous spaces of Picard number 1 which are not of the subdiagram type
#05Lyu, J., Wang, Z. & Zhang, Z. (with Xin, J.)Convergence of stochastic structure-preserving schemes for computing effective diffusivity in random flows
#06Ma, D. & Zhang, Z. (with Chen, J.)A multiscale reduced basis method for Schrödinger equation with multiscale and random potentials
#07Li, S. & Zhang, Z. (with Zhao, H.)A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction
#08Ng, T.W. (with Chiu, K.C.T.)Hyberbolic Belyi maps and Shabat-Blaschke products
#09Mok, N. (with Hong, J.)Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one
#10Huang, J. & Ng, T.W.Ax-Schanuel Type Theorems on Functional Transcendence via Nevanlinna Theory
#11Zhang, Z. & Wang, Z. (with Hou, T.Y.)A class of robust numerical methods for solving dynamical systems with multiple time scales
#12Li, S. and Zhang, Z. (with Chen, J.)Efficient multiscale methods for the semiclassical Schrödinger equation with time-dependent potentials
#13Chan, S.T.On proper holomorphic maps between bounded symmetric domains
#14Lyu, L. & Zhang, Z. (with Chen, J.)Connecting exciton diffusion with surface roughness via deep learning

IMR Preprint Series 2018

IMR2018: # Author(s) Title
#01Liu, T. & Han, G.Feedback Capacity of Stationary Gaussian Channels Further Examined
#02Wang, Z. & Zhang, Z. (with Luo, X. & Yau, S.S.-T.)Proper orthogonal decomposition method to nonlinear filtering problems in medium-high dimension
#03Zhang, Z. (with Rosakis, P., Hou, T.Y. & Ravichandran, G.)A Minimal Mechanosensing Model Predicts Keratocyte Evolution on Flexible Substrates
#04Zhang, Z. (with Chunga, E.T. & Puna, S.-M.)An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations
#05Han, G. (with Courtade, T.A. & Wu, Y.)Counterexample to the Vector Generalization of Costa's EPI, and Partial Resolution
#06Song, J. (with Balan, R.M. & Quer-Sardanyons, L.)Existence of density for the stochastic wave equation with space-time homogeneous Gaussian noise
#07Mok, N.Some Recent Results on Holomorphic Isometries of the Complex Unit Ball into Bounded Symmetric Domains and Related Problems
#08Cai, K. & Han, G.An Optimization Approach to the Langberg-Médard Multiple Unicast Conjecture
#09Zhang, Z. & Ma, D. (with Hou, T.Y.)A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach
#10Chan, S.-T. & Mok, N.Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets
#11Zhang, Z. (with Gao, X. & Ying, W.)An efficient numerical method for uncertainty quantification in cardiology models
#12Ma, D., Ching, W.-K. & Zhang, Z.Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients
#13Zhang, Z. & Wang, Z. (with Xin, J.)Sharp uniform in time error estimate on a stochastic structure-preserving Lagrangian method and computation of effective diffusivity in 3D chaotic flows
#14Zang, W. (with Chen, X. & Zhao, Q.)Densities, Matchings, and Fractional Edge-Colorings
#15Mok, N. (with Pila, J. & Tsimerman, J.)Ax-Schanuel for Shimura Varieties
#16Zhang, Z. (with Gua, H. & Xinb, J.)An efficient model reduction method for solving viscous G-equations in incompressible cellular flows
#17Ma, D. & Zhang, Z. (with Chen, J.)A multiscale finite element method for the Schrödinger equation with multiscale potentials


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