Computational complexity of decomposing a symmetric matrix as a sum of positive semidefinite and diagonal matrices. Foundations of Computational Mathematics. Retrieved from https://arxiv.org/abs/2209.05678. (Submitted).
Nonlinear conjugate gradient for smooth convex functions. Mathematical Programming - Computation. Retrieved from https://arxiv.org/pdf/2111.11613.pdf. (Submitted).
Low-rank matrix recovery with Ky Fan 2-k-norm. Journal of Global Optimization, 82, 727-751. Retrieved from https://link.springer.com/article/10.1007/s10898-021-01031-0. (2022).
Provable overlapping community detection in weighted graphs. In Neural Information Processing Systems (NeurIPS) (Vol. 2020). Retrieved from https://proceedings.neurips.cc/paper/2020. (2020).
A termination criterion for stochastic gradient descent for binary classification. Retrieved from https://arxiv.org/abs/2003.10312. (2020).
Second-order cone interior-point method for quasistatic and moderate dynamic cohesive fracture. Comput. Meth. Appl. Mech. Engr., 358, 112633. Retrieved from https://arxiv.org/abs/1909.10641. (2020).
Recovery of a mixture of Gaussians by sum-of-norms clustering. Journal of Machine Learning Research, 21(225), 1-16. Retrieved from https://jmlr.org/papers/volume21/19-218/19-218.pdf. (2020).
Low-rank matrix recovery with Ky Fan 2-k-norm. In Optimization of Complex Systems: Theory, Models and Applications (pp. 310-319).. (2019).
On the Complexity of Robust PCA and l1-Norm Low-Rank Matrix Approximation. Mathematics of Operations Research, 43, 1072-1084.. (2018).
IMRO: A Proximal Quasi-Newton Method for Solving $\ell_1$-Regularized Least Squares Problems. SIAM J. Optimiz, 27, 583-615.. (2017).
Finding the largest low-rank clusters with Ky Fan 2-k-norm and l1-norm. SIAM J. Optim., 26, 274-312.. (2016).
Extreme point inequalities and geometry of the rank sparsity ball. Mathematical Programming, 152, 521–544. Aug. doi:10.1007/s10107-014-0795-8. (2015).
Semidefinite Programming Based Preconditioning for More Robust Near-Separable Nonnegative Matrix Factorization. SIAM J. Optim., 25, 677-698.. (2015).
Convex optimization for the planted k-disjoint-clique problem. Math. Progr., 143, 299-337.. (2014).