Aukosh Jagannath

Current Research Interests


  1. Circuit lower bounds for the p-spin optimization problem,
    with D. Gamarnik and A. S. Wein, arXiv
  2. A simple construction of the dynamical \Phi^4_3 model,
    with N. Perkowski, arXiv
  3. Shattering versus metastability in spin glasses,
    with G. Ben Arous, arXiv
  4. The overlap gap property in principal submatrix recovery,
    with D. Gamarnik and S. Sen, Probab. Theo. Relat. Fields (to appear)
  5. Graph Convolution for Semi-Supervised Classification: Improved Linear Separability and Out-of-Distribution Generalization,
    with A. Baranwal and K. Fountoulakis, ICML 2021, Proc. Mach. Learn. Res. Vol 139 684-693, 2021
  6. Online stochastic gradient descent on non-convex losses from high-dimensional inference,
    with G. Ben Arous and R. Gheissari, J. Mach. Learn. Res., Vol 22, No.106,1-51(2021)
  7. On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model,
    with S. Sen, Ann. Inst. Henri Poincaré Comb. Phys. Interact. 8 (2021), 35-88.
  8. The overlap gap property and approximate message passing algorithms for p-spin models,
    with D. Gamarnik, Ann. Probab., Vol 49, No. 1 (2021), 180-205.
  9. Low degree hardness of random optimization problems,
    with D. Gamarnik and A. S. Wein Foundations of Computer Science (FOCS) 2020 pp. 131-140. (full version Arxiv)
  10. Statistical thresholds for tensor PCA,
    with P. Lopatto and L. Miolane, Ann. Appl. Probab. (2020), Vol. 30, No. 4, 1910-1933
  11. Algorithmic thresholds for tensor PCA,
    with G. Ben Arous and R. Gheissari, Ann. Probab. (2020), Vol. 48, No. 4, 2052-2087
  12. Bounding flows for spherical spin glass dynamics,
    with G. Ben Arous and R. Gheissari, Commun. Math. Phys. 373, 1011-1048 (2020)
  13. Dynamics of mean field spin glasses on short and long timescales,
    J. Math. Phys. 60, 083305 (2019)
  14. Thouless–Anderson–Palmer equations for generic p-spin glasses,
    with A. Auffinger, Ann. Probab. 47 (2019), no. 4, 2230--2256
  15. On the spectral gap of spherical spin glass dynamics,
    with R. Gheissari, Ann. Inst. H. Poincare Probab. Statist., Vol. 55, No. 2 (2019) 756-776
  16. On spin distributions for generic p-spin models,
    with A. Auffinger, J Stat Phys (2019) 174: 316
  17. Spectral gap estimates in mean field spin glasses,
    with G. Ben Arous, Commun. Math. Phys. 361 (1), 1-52 (2018)
  18. MAX \kappa-CUT and the inhomogeneous Potts spin glass,
    with J. Ko and S. Sen, Ann. Appl. Probab. (2018), Vol. 28, No. 3, 1536–1572
  19. Bounding the complexity of replica symmetry breaking for spherical spin glasses,
    with I. Tobasco, Proc. Amer. Math. Soc. 146 (2018), 3127-3142
  20. Random matrices and the New York City subway system,
    with T. Trogdon, Phys. Rev. E 96, 030101(R) (2017)
  21. Low temperature asymptotics of spherical mean field spin glasses,
    with I. Tobasco, Commun. Math. Phys. 352 (3), 979-1017 (2017)
  22. Some properties of the phase diagram for mixed p-spin glasses,
    with I. Tobasco, Probab. Theory Relat. Fields (2017) 167:615-672 (slides)
  23. Approximate ultrametricity for random measures with applications to spin glasses,
    Comm. on Pure and Appl. Math 70 (2017), 611–664. (video)
  24. A dynamic programming approach to the parisi functional,
    with I. Tobasco, Proc. Amer. Math. Soc. 144 (2016), 3135-3150
  25. On the overlap distribution of branching random walks,
    Electron. J. Probab., 21 (2016), no. 50, 16 pp.
  26. Variational and Structural Methods in Mean Field Spin Glasses,
    Ph.D. Thesis, May 2016
  27. Solution of the propeller conjecture in R3,
    with S. Heilman and A. Naor, Disc. & Comput. Geom. (2013) 50: 263 (code)
    An extended abstract appeared at STOC 2012.
  28. Charged particle motion in electromagnetic fields varying moderately slowly in space,
    with H. Weitzner, Physics of Plasmas 18, 104510 (2011)