Time-Optimal Collaborative Guidance using the Generalized Hopf Formula M.R. Kirchner, R. Mar, G. Hewer, J. Darbon, S. Osher, and Y.T. Chow to appear in IEEE Control Systems Letters.
Super-resolution in imaging high contrast targets from the perspective of scattering coefficients H. Ammari, Y.T. Chow, J. Zou to appear in Journal de Mathematiques Pures et Appliquees, 2017.
Algorithm for Overcoming the Curse of Dimensionality for Time-dependent Non-convex Hamilton-Jacobi Equations Arising from Optimal Control and Differential Games Problems Y.T. Chow, J. Darbon, S. Osher, W. Yin Journal of Scientific Computing, DOI 10.1007/s10915-017-0436-5, 2017.
Cyclic Coordinate Update Algorithms for Fixed-Point Problems: Analysis and Applications Y.T. Chow, T. Wu, W. Yin SIAM Journal of Scientific Computing 39(4), A1280-A1300, 2017.
Phased and phaseless domain reconstruction in inverse scattering problem via scattering coefficients H. Ammari, Y.T. Chow, J. Zou SIAM Journal on Applied Mathematics 76(3), pp. 1000-1030, 2016.
Algorithm for Overcoming the Curse of Dimensionality for Certain Non-convex Hamilton-Jacobi Equations, Projections and Differential Games Y.T. Chow, J. Darbon, S. Osher, W. Yin to appear in Annals of Mathematical Sciences and Applications, 2016.
Analysis on a Nonnegative Matrix Factorization and Its Applications Y.T. Chow, K. Ito, J. Zou SIAM Journal of Scientific Computing 38(5), B645–B684, 2016.
Expander Graph and Communication-Efficient Decentralized Optimization Y.T. Chow, W. Shi, T. Wu, W. Yin 50th Asilomar Conference on Signals, Systems and Computers, DIO 10.1109/ACSSC.2016.7869675, 2016.
Optimal shape design by partial spectral data H. Ammari, Y.T. Chow, K. Liu, J. Zou SIAM Journal of Scientific Computing 37(6), B855–B883, 2015.
Direct sampling method for diffusive optical tomography Y.T. Chow, K. Ito, K. Liu, J. Zou SIAM Journal of Scientific Computing 37(4), A1658–A1684, 2015.
The concept of heterogeneous scattering coefficients and its application in inverse medium scattering H. Ammari, Y.T. Chow, J. Zou SIAM Journal of Mathematical Analysis 46(4), pp. 2905-2935, 2014.
A direct sampling method for electrical impedance tomography Y.T. Chow, K. Ito, J. Zou Inverse Problems 30, 095003, DOI:10.10880266-5611309095003, 2014.
A numerical method for reconstructing the coefficient in a wave equation Y.T. Chow, J. Zou Numerical Methods for Partial Differential Equations, DOI: 10.1002/num.21904, 2014.
Algorithm for Overcoming the Curse of Dimensionality for State-dependent Hamilton-Jacobi equations Y.T. Chow, J. Darbon, S. Osher, W. Yin under review by Journal of Computational Physics, 1st round.
A partial Laplacian as an infinitesimal generator on the Wasserstein space Y.T. Chow, W. Gangbo under review by Duke Mathematical Journal, 1st round.
A Time-dependent Direct Sampling Method for Recovering Moving Potentials in Heat Equation Y.T. Chow, K. Ito, J. Zou under review by SIAM Journal of Scientific Computing, 2nd round.
Parallel redistancing using the Hopf-Lax formula M. Royston, A. Pradhana, B. Lee, Y.T. Chow, W. Yin, J. Teran, S. Osher under review by Journal of Computational Physics, 1st round.