Preprints

J. Chen, W. Gao S. Mao, and K. Wei, Vectorized Hankel Lift: A convex approach for blind superresolution of point sources. Preprint, 2020.

H. Wang, J.F. Cai, T. Wang and K. Wei, Fast Cadzow's Algorithm and a Gradient Variant. Preprint, 2019.

W. Huang and K. Wei, Extending FISTA to Riemannian Optimization for Sparse PCA. Preprint, 2019.

W. Huang and K. Wei, Riemannian Proximal Gradient Methods. Preprint, 2019.

J. Chen, W. Gao and K. Wei, Exact matrix completion based on low rank Hankel structure in the Fourier domain. Preprint, 2019.

J.F. Cai and K. Wei, Solving systems of phaseless equations via Riemannian optimization with optimal sampling complexity. Preprint, 2018.
Book Chapters

J.F. Cai and K. Wei, Exploiting the structure effectively and efficiently in low rank matrix recovery. Handbook of Numerical Analysis, 9 (2018), pp. 2151.
Journal Publications

J.F. Cai, J. K. Choi and K. Wei, Data Driven Tight Frame for Compressed Sensing MRI Reconstruction via OfftheGrid Regularization. Accepted to SIAM Journal on Imaging Science, 2020.

K. Wei, J.F. Cai, T. F. Chan and S. Leung, Guarantees of Riemannian optimization for low rank matrix completion. accepted to Inverse Problem and Imaging, 2019.

Z. Li, J.F. Cai and K. Wei, Towards the optimal construction of a loss function without spurious local minima for solving quadratic equations. accepted to IEEE Transactions on Information Theory, 2019.

H. Cai, J.F. Cai, and K. Wei, Accelerated alternating projections for robust principal component analysis. Journal of Machine Learning Research, 20 (2019), pp. 133.

X. Li, Y. Li, S. Ling, T. Strohmer and K. Wei, When do birds of a feather flock together? K Means, proximity, and conic programming. Mathematical Programming (Series A), accepted, 2018.

J.F. Cai, T. Wang, and K. Wei, Spectral compressed sensing via projected gradient descent. SIAM Journal on Optimization, 28(3) (2018), pp. 2625–2653. Supplementary material here ; Code here

X. Li, S. Ling, T. Strohmer and K. Wei, Rapid, robust, and reliable blind deconvolution via nonconvex optimization. Applied and Computational Harmonic Analysis, 47(3) (2019), pp. 893934.

K. Wei, K. Yin, X.C. Tai and T. F. Chan, New region force for variational models in image segmentation and high dimensional data clustering. Annals of Mathematical Sciences and Applications, 3(1) (2018), pp. 255286.

T. Strohmer and K. Wei, Painless Breakups  Efficient Demixing of Low Rank Matrices. Journal of Fourier Analysis and Applications, 25(1) (2019), pp. 131.

K. Xu, A. P. Austin and K. Wei, A fast algorithm for the convolution of functions with compact support using Fourier extensions. SIAM Journal on Scientific Computing, 39(6) (2017), pp. A3089–A3106.

J.F. Cai, T. Wang and K. Wei, Fast and provable algorithms for spectrally sparse signal reconstruction via lowrank Hankel matrix completion. Applied and Computational Harmonic Analysis, 46(1) (2019), pp. 94121. Supplementary material here ; Code here

K. Wei, J.F. Cai, T. F. Chan and S. Leung, Guarantees of Riemannian optimization for low rank matrix recovery. SIAM Journal on Matrix Analysis and Applications, 37(3) (2016), pp. 11981222.

K. Wei, Solving systems of phaseless equations via Kaczmarz methods: A proof of concept study. Inverse Problems, 31(12):125008 (2015). Code here

J. Tanner and K. Wei, Low rank matrix completion by alternating steepest descent methods. Applied and Computational Harmonic Analysis, 40(2) (2016), pp. 417429. Code here

J. Blanchard, J. Tanner and K. Wei, CGIHT: Conjugate gradient iterative hard thresholding for compressed sensing and matrix completion. Information and Inference: A Journal of IMA, 4(4) (2015), pp. 289327. Website here

J. Blanchard, J. Tanner and K. Wei, Conjugate gradient iterative hard thresholding: Observed noise stability for compressed sensing. IEEE Transactions on Signal Processing, 63(2) (2015), pp. 528537. Supplementary material here

K. Wei, Fast iterative hard thresholding for compressed sensing. IEEE Signal Processing Letters, 22(5) (2015), pp. 593597.

J. Tanner and K. Wei, Normalized iterative hard thresholding for matrix completion. SIAM Journal on Scientific Computing, 35(5) (2013), pp. S104  S125.