
Department of Mathematics, Courant Institute of Mathematical Sciences, New York University Address: 251 Mercer Street, Room 1123 New York, NY 10012, USA I also spend time in Room 603 of the NYU Center for Data Science at 60 Fifth Av., NY 10011 
I am an Assistant Professor of Mathematics at the Courant Institute of Mathematical Sciences with a joint appointment in the Center for Data Science at NYU. I am a member of the NYU Math and Data Group.


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Publications Submitted, In Press, or Preprint Neural Networks with Finite Intrinsic Dimension have no Spurious Valleys L. Ventur, A. S. Bandeira, J. Bruna arXiv:1802.06384 [math.OC], 2018. [arXiv] Estimation under group actions: recovering orbits from invariants A. S. Bandeira, B. BlumSmith, A. Perry, J. Weed, A. S. Wein arXiv:1712.10163 [math.ST], 2017. [arXiv] The sample complexity of multireference alignment A. Perry, J. Weed, A. S. Bandeira, P. Rigollet, A. Singer arXiv:1707.00943 [cs.IT], 2017. [arXiv] Optimal rates of estimation for multireference alignment A. S. Bandeira, P. Rigollet, J. Weed arXiv:1702.08546 [math.ST], 2017. [arXiv] Statistical limits of spiked tensor models A. Perry, A. S. Wein, and A. S. Bandeira arXiv:1611.04505 [math.ST], 2016. [arXiv] A polynomialtime relaxation of the GromovHausdorff distance S. Villar, A. S. Bandeira, A. J. Blumberg, and R. Ward arXiv:1610.05214 [math.GT], 2016. [arXiv] Optimality and Suboptimality of PCA for Spiked Random Matrices and Synchronization A. Perry, A. S. Wein, A. S. Bandeira, and A. Moitra arXiv:1609.05573 [math.ST], 2016. [arXiv] Nonunique games over compact groups and orientation estimation in cryoEM A. S. Bandeira, Y. Chen, and A. Singer arXiv:1505.03840 [cs.CV], 2015. [arXiv] [bibtex] Lecture Notes and Monographs: Ten Lectures and FortyTwo Open Problems in the Mathematics of Data Science A. S. Bandeira Lecture Notes, December 2015. See also MIT OCW page for a course based on this notes More available at my teaching page PeerReviewed Publications Optimality and Suboptimality of PCA I: Spiked Random Matrix Models A. Perry, A. S. Wein, A. S. Bandeira, and A. Moitra Annals of Statistics, to appear. Longer technical report: Optimality and Suboptimality of PCA for Spiked Random Matrices and Synchronization. [arXiv] Resilience for the LittlewoodOfford Problem A. S. Bandeira, A. Ferber, and M. Kwan Advances in Mathematics vol. 319, pp. 292312, 2017. [paper] [arXiv] A Note on Learning Algorithms for Quadratic Assignment with Graph Neural Networks A. Nowak, S. Villar, A. S. Bandeira, J. Bruna ICML 2017 Workshop on Principled Approaches to Deep Learning (PADL), 2017. [arXiv] Messagepassing algorithms for synchronization problems over compact groups A. Perry, A. S. Wein, A. S. Bandeira, and A. Moitra Communications on Pure and Applied Mathematics, to appear. [arXiv] Multisection in the stochastic block model using semidefinite programming N. Agarwal, A. S. Bandeira, K. Koiliaris, A. Kolla Compressed Sensing and its Applications: MATHEON Workshop 2015 (Applied and Numerical Harmonic Analysis), to appear. [arXiv] [bibtex] MarcenkoPastur Law for Kendall's Tau A. S. Bandeira, A. Lodhia, and P. Rigollet Electronic Communications in Probability, Vol. 22, paper no. 32, 17. [paper][arXiv] Discrete uncertainty principles and sparse signal processing A. S. Bandeira, M. E. Lewis, and D. G. Mixon Journal of Fourier Analysis and Applications, to appear. [arXiv] [bibtex] [paper] Compressive classification and the rare eclipse problem A. S. Bandeira, D. G. Mixon, and B. Recht Compressed Sensing and its Applications: MATHEON Workshop 2015 (Applied and Numerical Harmonic Analysis), to appear. [arXiv] [bibtex] [blog entry] Community Detection in Hypergraphs, Spiked Tensor Models, and SumofSquares C. Kim, A. S. Bandeira, M. X. Goemans SampTA Sampling Theory and Applications, 12th International Conference, 2017. [arXiv] A Certifiably Correct Algorithm for Synchronization over the Special Euclidean Group D. M. Rosen, L. Carlone, A. S. Bandeira, and J. J. Leonard Workshop on the Algorithmic Foundations of Robotics (WAFR) , 2016. [arXiv] [code]  Best paper award at WAFR 2016. Longer technical report: SESynch: A Certifiably Correct Algorithm for Synchronization over the Special Euclidean Group [arXiv] [technical report] Random Laplacian matrices and convex relaxations A. S. Bandeira Foundations of Computational Mathematics, to appear. [arXiv] [bibtex] The nonconvex BurerMonteiro approach works on smooth semidefinite programs N. Boumal, V. Voroninski, and A. S. Bandeira Neural Information Processing Systems (NIPS 2016), to appear. [arXiv] [bibtex] Tightness of the maximum likelihood semidefinite relaxation for angular synchronization A. S. Bandeira, N. Boumal, and A. Singer Mathematical Programming SERIES A (2017) 163: 145167. [arXiv] [bibtex] [article] [SharedIt] On the lowrank approach for semidefinite programs arising in synchronization and community detection A. S. Bandeira, N. Boumal, and V. Voroninski Conference on Learning Theory (COLT), 2016. [arXiv] [bibtex] Approximating the little Grothendieck problem over the orthogonal and unitary Groups A. S. Bandeira, C. Kennedy, and A. Singer Mathematical Programming SERIES A (2016) 160: 433475. [arXiv] [bibtex] [blog entry] [related blog entry] Linear Boolean classification, coding and ''the critical problem'' E. Abbe, N. Alon, A. S. Bandeira, and C. Sandon IEEE Transactions on Information Theory (2016) 62: 16671673. [arXiv] [bibtex] [blog entry] Conference Proceedings version: Linear Boolean classification, coding and ''the critical problem'' at IEEE International Symposium on Information Theory (ISIT 2014), 2014. A note on Probably Certifiably Correct algorithms A. S. Bandeira Comptes Rendus Mathematique (2016) 354: 329333, to appear, 2016. [arXiv] [bibtex] A conditional construction of restricted isometries A. S. Bandeira, D. G. Mixon, and J. Moreira International Mathematics Research Notices (2017) 2017:372381. [arXiv] [bibtex] [blog entry] Derandomizing restricted isometries via the Legendre symbol A. S. Bandeira, M. Fickus, D. G. Mixon, and J. Moreira Constructive Approximation (2016) 43: 409424. [arXiv] [bibtex] [paper] Sharp nonasymptotic bounds on the norm of random matrices with independent entries A. S. Bandeira and R. v. Handel Annals of Probability (2016) 44: 24792506. [arXiv] [bibtex] [blog entry] [talk] Exact Recovery in the Stochastic Block Model E. Abbe, A. S. Bandeira, G. Hall IEEE Transactions on Information Theory, vol.62, no.1, pp.471487, 2016. [paper] [arXiv] [bibtex] [related lecture notes] Relax, no need to round: integrality of clustering formulations P. Awasthi, A. S. Bandeira, M. Charikar, R. Krishnaswamy, S. Villar, and R. Ward 6th Innovations in Theoretical Computer Science (ITCS 2015). [arXiv] [bibtex] Decoding binary node labels from censored edge measurements: Phase transition and efficient recovery E. Abbe, A. S. Bandeira, A. Bracher, and A. Singer Transactions on Network Science and Engineering, 1(1), pp.1020, 2014. [arXiv] [bibtex] [blog entry] [related blog entry] Open problem: Tightness of maximum likelihood semidefinite relaxations A. S. Bandeira, Y. Khoo, and A. Singer COLT Open Problem, JMLR W&CP 35: 12651267, 2014. [arXiv] [bibtex] [blog entry] Convergence of trustregion methods based on probabilistic models A. S. Bandeira, K. Scheinberg, and L. N. Vicente SIAM Journal on Optimization (SIOPT), 24(3), pp. 12381264, 2014 [paper] [arXiv] [bibtex] Linear Inverse problems on ErdosRenyi graphs: Informationtheoretic limits and efficient recovery E. Abbe, A. S. Bandeira, A. Bracher, and A. Singer IEEE International Symposium on Information Theory (ISIT 2014), 2014. [paper] [bibtex] [blog entry] [related blog entry] Phase retrieval from power spectra of masked signals A. S. Bandeira, Y. Chen, and D. G. Mixon Information and Inference: a Journal of the IMA, vol. 3, pp. 83102, 2014. [arXiv] [bibtex] [blog entry] [code] Multireference alignment using semidefinite programming A. S. Bandeira, M. Charikar, A. Singer, and A. Zhu 5th Innovations in Theoretical Computer Science (ITCS 2014), 2014. [final paper] [arXiv] [bibtex] Saving phase: Injectivity and stability for phase retrieval A. S. Bandeira, J. Cahill, D. G. Mixon, and A. A. Nelson Applied and Computational Harmonic Analysis (ACHA), vol. 37, pp. 106125, 2014. [final paper] [arXiv] [bibtex] [blog entry] Conference Proceedings version: Fundamental limits of phase retrieval at 10th International Conference on Sampling Theory and Applications, 2013. A Cheeger inequality for the graph connection Laplacian A. S. Bandeira, A. Singer, and D. A. Spielman SIAM Journal on Matrix Analysis and Applications (SIMAX), vol. 34, pp. 16111630, 2013. [final paper] [arXiv] [bibtex] [blog entry] Phase retrieval with polarization B. Alexeev, A. S. Bandeira, M. Fickus, and D. G. Mixon SIAM Journal on Imaging Sciences (SIIMS), vol. 7, pp. 3566, 2013 [final paper] [arXiv] [bibtex] [blog entry] The road to deterministic matrices with the restricted isometry property A. S. Bandeira, M. Fickus, D. G. Mixon, and P. Wong Journal of Fourier Analysis and Applications, vol. 19, pp. 11231149, 2013. [final paper] [arxiv] [bibtex] [blog entry]  Best student paper award at the 36th Annual SIAM Southeastern Atlantic Section Conference, 2012. Certifying the restricted isometry property is hard A. S. Bandeira, E. Dobriban, D. G. Mixon, and W. Sawin IEEE Transactions on Information Theory, vol. 59, pp. 34483450,2013 [final paper] [arxiv] [bibtex] [blog entry] Nearoptimal
phase retrieval of sparse vectors A. S. Bandeira, K. Scheinberg, and L. N. Vicente Mathematical Programming, vol. 134, pp. 223257, 2012 [final paper] [arxiv] [bibtex] [blog entry]  INFORMS Optimization Society student paper prize, 2013. Landau's necessary density conditions for the Hankel transform L. D. Abreu and A. S. Bandeira Journal of Functional Analysis, vol. 262, pp. 18451866, 2012 [final paper] [arxiv] [bibtex] [blog entry] Technical Reports, Theses, and other Articles Inference on Graphs via Semidefinite Programming A. S. Bandeira Proceedings of the National Academy of Sciences Commentary, 2016. [article] [preprint] Efficient Algorithm for Exact Recovery of Vertex Variables from Edge Measurements A. S. Bandeira Spotlight on Transactions, IEEE Computer, to appear, 2015 [preprint] Nonunique games over compact groups (Extended Abstract) A. S. Bandeira Oberwolfach Report (38/2015), 2015. Convex relaxations for certain inverse problems on graphs A. S. Bandeira PhD Thesis, Program in Applied and Computational Mathematics, Princeton University, 2015 [thesis] [bibtex] Sparse recovery in
derivativefree optimization Estimating
group transformations via convex relaxation On partially
sparse recovery A. S. Bandeira Master Thesis, Dep. Matematica, Univ. Coimbra, 2010 [thesis] [bibtex] [blog entry] 
