Publications

Preprints

  1. new Accelerated first-order methods for a class of semidefinite programs
    Alex L. Wang and Fatma Kılınç-Karzan
    Under review at Math. Program., May 2022
    [arXiv] [code]

  2. Implicit regularity and linear convergence rates for the generalized trust-region subproblem
    Alex L. Wang, Yunlei Lu, and Fatma Kılınç-Karzan
    Under review at SIAM J. Optim, December 2021
    [arXiv]

  3. A geometric view of SDP exactness in QCQPs and its applications
    Alex L. Wang and Fatma Kılınç-Karzan
    November 2021
    [arXiv]

  4. New notions of simultaneous diagonalizability of quadratic forms with applications to QCQPs
    Alex L. Wang and Rujun Jiang
    Under review at Math. Program., January 2021
    [arXiv]

Journal publications

  1. Necessary and sufficient conditions for rank-one generated cones
    C.J. Argue, Fatma Kılınç-Karzan, and Alex L. Wang
    Math. Oper. Res., online first (2021)
    [arXiv] [article]

  2. Exactness in SDP relaxations of QCQPs: Theory and applications
    Fatma Kılınç-Karzan and Alex L. Wang
    Tut. in Oper. Res., 312-345 (2021)
    [arXiv] [article]

  3. 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

  4. 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

  1. 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

  2. On convex hulls of epigraphs of QCQPs
    Alex L. Wang and Fatma Kılınç-Karzan
    IPCO 2020 (Integer Programming and Comb. Optim.)
    [arXiv] [proceedings]

  3. Hardy-Muckenhoupt bounds for Laplacian eigenvalues
    Gary Miller, Noel Walkington, and Alex L. Wang
    APPROX 2019 (Int. Workshop on Approx. Algorithms for Comb. Optim. Prob.)
    [arXiv] [proceedings]

  4. Clustering stable instances of Euclidean k-means
    Abhratanu Dutta, Aravindan Vijayaraghavan, and Alex L. Wang
    NeurIPS 2017 (Adv. in Neural Inf. Process. Syst.)
    [arXiv] [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
    Timothy Chu, Gary Miller, Noel Walkington, and Alex L. Wang
    May 2020
    [arXiv]

Last updated Jul 19, 2022