Publications

Preprints

  • 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

  • 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

Other writing

  • 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]

Last updated Apr 21, 2023