Aukosh Jagannath

Current Research Interests


  1. Graph Convolution for Semi-Supervised Classification: Improved Linear Separability and Out-of-Distribution Generalization
    with A. Baranwal and K. Fountoulakis, ArXiv
  2. The overlap gap property in principal submatrix recovery,
    with D. Gamarnik and S. Sen, ArXiv
  3. Online stochastic gradient descent on non-convex losses from high-dimensional inference,
    with G. Ben Arous and R. Gheissari, Journal of Machine Learning Research (to appear)
  4. 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.
  5. 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.
  6. Low degree hardness of random optimization problems,
    with D. Gamarnik and A. S. Wein 61st IEEE Annual Symposium on Foundations of Computer Science (FOCS) 2020 pp. 131-140. (full version Arxiv)
  7. Statistical thresholds for tensor PCA,
    with P. Lopatto and L. Miolane, Ann. Appl. Probab. (2020), Vol. 30, No. 4, 1910-1933
  8. Algorithmic thresholds for tensor PCA,
    with G. Ben Arous and R. Gheissari, Ann. Probab. (2020), Vol. 48, No. 4, 2052-2087
  9. Bounding flows for spherical spin glass dynamics,
    with G. Ben Arous and R. Gheissari, Commun. Math. Phys. 373, 1011-1048 (2020)
  10. Dynamics of mean field spin glasses on short and long timescales,
    J. Math. Phys. 60, 083305 (2019)
  11. Thouless–Anderson–Palmer equations for generic p-spin glasses,
    with A. Auffinger, Ann. Probab. 47 (2019), no. 4, 2230--2256
  12. 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
  13. On spin distributions for generic p-spin models,
    with A. Auffinger, J Stat Phys (2019) 174: 316
  14. Spectral gap estimates in mean field spin glasses,
    with G. Ben Arous, Commun. Math. Phys. 361 (1), 1-52 (2018)
  15. 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
  16. Bounding the complexity of replica symmetry breaking for spherical spin glasses,
    with I. Tobasco, Proc. Amer. Math. Soc. 146 (2018), 3127-3142
  17. Random matricies and the New York City subway system,
    with T. Trogdon, Phys. Rev. E 96, 030101(R) (2017)
  18. Low temperature asymptotics of spherical mean field spin glasses,
    with I. Tobasco, Commun. Math. Phys. 352 (3), 979-1017 (2017)
  19. Some properties of the phase diagram for mixed p-spin glasses,
    with I. Tobasco, Probab. Theory Relat. Fields (2017) 167:615-672 (slides)
  20. Approximate ultrametricity for random measures with applications to spin glasses,
    Comm. on Pure and Appl. Math 70 (2017), 611–664. (video)
  21. A dynamic programming approach to the parisi functional,
    with I. Tobasco, Proc. Amer. Math. Soc. 144 (2016), 3135-3150
  22. On the overlap distribution of branching random walks,
    Electron. J. Probab., 21 (2016), no. 50, 16 pp.
  23. Variational and Structural Methods in Mean Field Spin Glasses,
    Ph.D. Thesis, May 2016
  24. 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.
  25. Charged particle motion in electromagnetic fields varying moderately slowly in space,
    with H. Weitzner, Physics of Plasmas 18, 104510 (2011)

Pages Concerning Research Projects

A rigorous, computational solution of the Propeller Conjecture in R^3