Ph.D., Princeton University 2009
Khoo, Y, Lu, J, and Ying, L. "Solving for high dimensional committor functions using artificial neural networks."
Lu, J, and Otto, F. "Optimal artificial boundary condition for random elliptic media."
Delgadillo, R, Lu, J, and Yang, X. "Frozen Gaussian approximation for high frequency wave propagation in periodic media."
Lu, J, Sachs, M, and Steinerberger, S. "Quadrature Points via Heat Kernel Repulsion.".
Liu, J-G, Lu, J, Margetis, D, and Marzuola, JL. "Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model." Open Access Copy
Lu, J, Lu, Y, and Nolen, J. "Scaling limit of the Stein variational gradient descent part I: the mean field regime.".
Nishimura, A, Dunson, D, and Lu, J. "Discontinuous Hamiltonian Monte Carlo for models with discrete parameters and discontinuous likelihoods."
Cao, Y, Lu, J, and Lu, Y. "Exponential decay of Rényi divergence under Fokker-Planck equations.".
Khoo, Y, Lu, J, and Ying, L. "Solving parametric PDE problems with artificial neural networks." Open Access Copy