Preprints
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New Hidden convexity, optimization, and algorithms on rotation matrices
(ɑ) Akshay Ramachandran, Kevin Shu, and Alex L. Wang
April 2023
[arXiv] -
Accelerated first-order methods for a class of semidefinite programs
Alex L. Wang and Fatma Kılınç-Karzan
May 2022
[arXiv] [code] -
A geometric view of SDP exactness in QCQPs and its applications
Alex L. Wang and Fatma Kılınç-Karzan
November 2021
[arXiv] -
New notions of simultaneous diagonalizability of quadratic forms with applications to QCQPs
Alex L. Wang and Rujun Jiang
January 2021
[arXiv]
Journal publications
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Implicit regularity and linear convergence rates for the generalized trust-region subproblem
Alex L. Wang, Yunlei Lu, and Fatma Kılınç-Karzan
SIAM J. Optim, to appear (2023)
[arXiv] -
Necessary and sufficient conditions for rank-one generated cones
(ɑ) C.J. Argue, Fatma Kılınç-Karzan, and Alex L. Wang
Math. Oper. Res., online first (2021)
[arXiv] [article] -
Exactness in SDP relaxations of QCQPs: Theory and applications
(ɑ) Fatma Kılınç-Karzan and Alex L. Wang
Tut. in Oper. Res., 312-345 (2021)
[arXiv] [article] -
On the tightness of SDP relaxations of QCQPs
Alex L. Wang and Fatma Kılınç-Karzan
Math. Program., 193, 33–73 (2022)
[arXiv] [article]
INFORMS Optimization Society 2021 Student Paper Prize -
The generalized trust region subproblem: solution complexity and convex hull results
Alex L. Wang and Fatma Kılınç-Karzan
Math. Program., 191, 445–486 (2022)
[arXiv] [article]
Articles in refereed conference proceedings
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Solving Stackelberg Prediction Game with Least Squares Loss via Spherically Constrained Least Squares Reformulation
ICML 2022 (Int. Conf. Mach. Learn.)
Jiali Wang, Wen Huang, Rujun Jiang, Xudong Li, and Alex L. Wang
[arXiv] [proceedings]
ICML 2022 Outstanding Paper Award -
On convex hulls of epigraphs of QCQPs
Alex L. Wang and Fatma Kılınç-Karzan
IPCO 2020 (Integer Programming and Comb. Optim.)
[arXiv] [proceedings] -
Hardy-Muckenhoupt bounds for Laplacian eigenvalues
(ɑ) Gary Miller, Noel Walkington, and Alex L. Wang
APPROX 2019 (Int. Workshop on Approx. Algorithms for Comb. Optim. Prob.)
[arXiv] [proceedings] -
Clustering stable instances of Euclidean k-means
(ɑ) Abhratanu Dutta, Aravindan Vijayaraghavan, and Alex L. Wang
NeurIPS 2017 (Adv. in Neural Inf. Process. Syst.)
[arXiv] [proceedings]
Other writing
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On QCQPs and their SDP Relaxations — Ph.D. Thesis
June 2022
[CMU CSD] -
Weighted Cheeger and Buser inequalities, with applications to clustering and cutting probability densities
(ɑ) Timothy Chu, Gary Miller, Noel Walkington, and Alex L. Wang
May 2020
[arXiv]