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Personal profile

Research Interests

Professor Nocedal research interests are in optimization and its application in machine learning and in disciplines involving differential equations. He specializes in nonlinear optimization, both convex and non-convex; deterministic and stochastic. There is a need for solving ever larger optimization problems, and throughout the years, he has developed algorithms that scale well with the number of variables, make judicious use of second-order information, and parallelize well. The motivation for his current algorithmic and theoretical research stems from applications in image and speech recognition, recommendation systems, and search engines.

Education/Academic qualification

Mathematical Sciences, PhD, Rice University

… → 1978

Physics, BSc, National University of Mexico

… → 1974

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Grants

  • Research Output

    An investigation of Newton-Sketch and subsampled Newton methods

    Berahas, A. S., Bollapragada, R. & Nocedal, J., Jul 3 2020, In : Optimization Methods and Software. 35, 4, p. 661-680 20 p.

    Research output: Contribution to journalArticle

  • 1 Scopus citations

    Derivative-free optimization of noisy functions via quasi-Newton methods

    Berahas, A. S., Byrd, R. H. & Nocedal, J., Jan 1 2019, In : SIAM Journal on Optimization. 29, 2, p. 965-993 29 p.

    Research output: Contribution to journalArticle

  • 4 Scopus citations

    Exact and inexact subsampled Newton methods for optimization

    Bollapragada, R., Byrd, R. H. & Nocedal, J., Jan 1 2019, In : IMA Journal of Numerical Analysis. 39, 2, p. 545-548 4 p.

    Research output: Contribution to journalArticle

  • 6 Scopus citations

    On large-batch training for deep learning: Generalization gap and sharp minima

    Keskar, N. S., Nocedal, J., Tang, P. T. P., Mudigere, D. & Smelyanskiy, M., Jan 1 2019.

    Research output: Contribution to conferencePaper

  • 1 Scopus citations

    Adaptive sampling strategies for stochastic optimization

    Bollapragada, R., Byrd, R. & Nocedal, J., Jan 1 2018, In : SIAM Journal on Optimization. 28, 4, p. 3312-3343 32 p.

    Research output: Contribution to journalArticle

  • 4 Scopus citations