Aukosh Jagannath

Current Research Interests


Publications and preprints

  1. Existence of the free energy for heavy-tailed spin glasses
    with P. Lopatto arXiv
  2. Concentration of the exponential mechanism and differentially private multivariate medians
    with K. Ramsay and S. Chenouri arXiv
  3. Effects of Graph Convolutions in Multi-Layer Networks
    with A. Baranwal and K. Fountoulakis, arXiv
  4. Graph attention retrospective
    K. Fountoulakis, A. Levi, S. Yang, A. Baranwal and A.J. arXiv
  5. Hardness of random optimization problems for boolean circuits, low-degree polynomials, and Langevin dynamics,
    with D. Gamarnik and A. S. Wein, arXiv
  6. Circuit lower bounds for the p-spin optimization problem,
    with D. Gamarnik and A. S. Wein, arXiv
  7. A simple construction of the dynamical Φ43 model,
    with N. Perkowski, Trans. Amer. Math. Soc. (to appear)
  8. Shattering versus metastability in spin glasses,
    with G. Ben Arous, Comm. Pure Appl. Math (to appear)
  9. High-dimensional limit theorems for SGD: Effective dynamics and critical scaling
    with G. Ben Arous and R. Gheissari, Advances in Neural Information Processing Systems 36 (NeurIPS 2022), (Outstanding Paper Award) Full version: arXiv
  10. The overlap gap property in principal submatrix recovery,
    with D. Gamarnik and S. Sen, Probab. Theo. Relat. Fields 181, pp 757–814 (2021)
  11. 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
  12. 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)
  13. 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.
  14. 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.
  15. Low degree hardness of random optimization problems,
    with D. Gamarnik and A. S. Wein Foundations of Computer Science (FOCS) 2020 pp. 131-140.
  16. Statistical thresholds for tensor PCA,
    with P. Lopatto and L. Miolane, Ann. Appl. Probab. (2020), Vol. 30, No. 4, 1910-1933
  17. Algorithmic thresholds for tensor PCA,
    with G. Ben Arous and R. Gheissari, Ann. Probab. (2020), Vol. 48, No. 4, 2052-2087
  18. Bounding flows for spherical spin glass dynamics,
    with G. Ben Arous and R. Gheissari, Commun. Math. Phys. 373, 1011-1048 (2020)
  19. Dynamics of mean field spin glasses on short and long timescales,
    J. Math. Phys. 60, 083305 (2019)
  20. Thouless–Anderson–Palmer equations for generic p-spin glasses,
    with A. Auffinger, Ann. Probab. 47 (2019), no. 4, 2230--2256
  21. 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
  22. On spin distributions for generic p-spin models,
    with A. Auffinger, J Stat Phys (2019) 174: 316
  23. Spectral gap estimates in mean field spin glasses,
    with G. Ben Arous, Commun. Math. Phys. 361 (1), 1-52 (2018)
  24. 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
  25. Bounding the complexity of replica symmetry breaking for spherical spin glasses,
    with I. Tobasco, Proc. Amer. Math. Soc. 146 (2018), 3127-3142
  26. Random matrices and the New York City subway system,
    with T. Trogdon, Phys. Rev. E 96, 030101(R) (2017)
  27. Low temperature asymptotics of spherical mean field spin glasses,
    with I. Tobasco, Commun. Math. Phys. 352 (3), 979-1017 (2017)
  28. Some properties of the phase diagram for mixed p-spin glasses,
    with I. Tobasco, Probab. Theory Relat. Fields (2017) 167:615-672 (slides)
  29. Approximate ultrametricity for random measures with applications to spin glasses,
    Comm. Pure Appl. Math 70 (2017), 611–664. (video)
  30. A dynamic programming approach to the parisi functional,
    with I. Tobasco, Proc. Amer. Math. Soc. 144 (2016), 3135-3150
  31. On the overlap distribution of branching random walks,
    Electron. J. Probab., 21 (2016), no. 50, 16 pp.
  32. Variational and Structural Methods in Mean Field Spin Glasses,
    Ph.D. Thesis, May 2016
  33. 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.
  34. Charged particle motion in electromagnetic fields varying moderately slowly in space,
    with H. Weitzner, Physics of Plasmas 18, 104510 (2011)