World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
49
Citations
7403
World Ranking
1166
National Ranking
523

Engineering and Technology

D-Index
49
Citations
7396
World Ranking
4413
National Ranking
1264

Research.com Recognitions

  • 1983 - SPIE Fellow

Overview

James V. Burke is affiliated with the University of Washington in the United States. Their research spans multiple fields, with a primary focus on mathematics and computer science. The subfields of their work include statistics and probability, computational mechanics, computational theory and mathematics, numerical analysis, and artificial intelligence.

Burke's research covers several main topics, including:

  • Sparse and Compressive Sensing Techniques
  • Optimization and Variational Analysis
  • Advanced Optimization Algorithms Research
  • Advanced Causal Inference Techniques
  • Mental Health Research Topics
  • Numerical Methods in Inverse Problems
  • Bayesian Methods and Mixture Models

Their recent publications reflect their work's focus on optimization, algorithms, and statistical methods. Notable papers include:

  • "An Algorithm for Nonparametric Estimation of a Multivariate Mixing Distribution with Applications to Population Pharmacokinetics," 2020, Pharmaceutics
  • "Strong Metric (Sub)regularity of Karush-Kuhn-Tucker Mappings for Piecewise Linear-Quadratic Convex-Composite Optimization and the Quadratic Convergence of Newton's Method," 2020, Mathematics of Operations Research
  • "Inexact Sequential Quadratic Optimization with Penalty Parameter Updates within the QP Solver," 2020, SIAM Journal on Optimization
  • "Convergence of the Gradient Sampling Algorithm on Directionally Lipschitz Functions," 2021, Set-Valued and Variational Analysis
  • "A Relaxation Approach to Feature Selection for Linear Mixed Effects Models," 2023, Journal of Computational and Graphical Statistics

Frequent publication venues for Burke include:

  • Mathematics of Operations Research
  • arXiv (Cornell University)
  • Pharmaceutics
  • SIAM Journal on Optimization
  • Journal of Computational and Graphical Statistics

The scientist has collaborated with several researchers, with repeated coauthors such as:

  • Aleksandr Y. Aravkin
  • Aleksei Sholokhov
  • Damian Santomauro
  • Walter M. Yamada
  • Michael Neely

James V. Burke was awarded the distinction of SPIE Fellow in 1983, marking an acknowledgment within the scientific community.

Best Publications

  • A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization

    James V. Burke;Adrian S. Lewis;Michael L. Overton

  • Weak sharp minima in mathematical programming

    J. V. Burke;M. C. Ferris

  • HIFOO - A MATLAB package for fixed-order controller design and H ∞ optimization

    J.V. Burke;D. Henrion;A.S. Lewis;M.L. Overton

  • An exact penalization viewpoint of constrained optimization

    James V. Burke

  • On the identification of active constraints

    James V. Burke;Jorge J. Moré

  • Optical Wavefront Reconstruction: Theory and Numerical Methods

    D. Russell Luke;James V. Burke;Richard G. Lyon

  • On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure

    Julio Moro;James V. Burke;Michael L. Overton

  • Stabilization via Nonsmooth, Nonconvex Optimization

    J.V. Burke;D. Henrion;A.S. Lewis;M.L. Overton

  • Calmness and exact penalization

    J. V. Burke

  • A robust sequential quadratic programming method

    J. V. Burke;S.-P. Han

  • The Global Linear Convergence of a Noninterior Path-Following Algorithm for Linear Complementarity Problems

    James V. Burke;Song Xu

  • A Gauss-Newton method for convex composite optimization

    J. V. Burke;M. C. Ferris

  • Descent methods for composite nondifferentiable optimization problems

    James V. Burke

  • Approximating Subdifferentials by Random Sampling of Gradients

    J. V. Burke;A. S. Lewis;M. L. Overton

  • Weak sharp minima revisited Part I: basic theory

    James V. Burke

  • Characterization of solution sets of convex programs

    J. V. Burke;M. C. Ferris

  • A non–interior predictor–corrector path following algorithm for the monotone linear complementarity problem

    James V. Burke;Song Xu

  • Generalized Kalman smoothing: Modeling and algorithms

    Aleksandr Y. Aravkin;James V. Burke;Lennart Ljung;Aurelie C. Lozano

  • Convergence properties of trust region methods for linear and convex constraints

    J. V. Burke;J. J. Moré;G. Toraldo

  • Two numerical methods for optimizing matrix stability

    James V. Burke;Adrian S. Lewis;Michael L. Overton

  • Weak sharp minima revisited, part II: application to linear regularity and error bounds

    James V. Burke;Sien Deng

Frequent Co-Authors

Gianluigi Pillonetto
Gianluigi Pillonetto University of Padua
Michael L. Overton
Michael L. Overton Courant Institute of Mathematical Sciences
Adrian S. Lewis
Adrian S. Lewis Cornell University
Alessandro Chiuso
Alessandro Chiuso University of Padua
Michael C. Ferris
Michael C. Ferris University of Wisconsin–Madison
Paul Tseng
Paul Tseng University of Washington
Jorge J. Moré
Jorge J. Moré Argonne National Laboratory
Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
Lennart Ljung
Lennart Ljung Linköping University
Yinyu Ye
Yinyu Ye Stanford University

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