About me
Research interests
My interests are in nonsmooth optimization, variational analysis, and the connections of these disciplines to semi-algebraic geometry. In particular, I enjoy working on problems exhibiting strong structural properties. The interplay between geometry, analysis, and optimization has been central in my work.
Publications (accepted or appeared)
- Global surjection and global inverse mapping theorem in Banach spaces, A.D. Ioffe. Annals New York Acad. Sci., 1987.
- Approximating functions on stratifiable sets, D. Drusvyatskiy, M. Larsson. Manuscript, 23 pages, To appear in Trans. Amer. Math. Soc., 2014.
- Orthogonal invariance and identifiability, A. Daniilidis, D. Drusvyatskiy, A.S. Lewis. Manuscript, To appear in SIAM J. Matrix Anal. Applic., 2014.
- Orbits of geometric descent, A. Daniilidis, D. Drusvyatskiy, A.S. Lewis. To appear in Canad. Math. Bull., 2014.
- Optimality, identifiability, and sensitivity, D. Drusvyatskiy, A.S. Lewis. Manuscript, To appear in Math. Program. Ser. A, 2013. Long version
- Second-order growth, tilt stability, and metric regularity of the subdifferential , D. Drusvyatskiy, B.S. Mordukhovich, T.T.A. Nghia. J. Convex Anal., 21(4), 2014.
- Semi-algebraic functions have small subdifferentials, D. Drusvyatskiy, A.S. Lewis. Math. Program. Ser. B., 140(1): 5-29, 2013.
- Tilt stability, uniform quadratic growth, and strong metric regularity of the subdifferential, D. Drusvyatskiy, A.S. Lewis. SIAM J. Optim., 23(1): 256-267, 2013.
- The dimension of semi-algebraic subdifferential graphs, D. Drusvyatskiy, A.S. Lewis, A. D. Ioffe. Nonlinear Analysis, 75(3):1231-1245, 2012.
- Generic nondegeneracy in convex optimization, D. Drusvyatskiy, A.S. Lewis. Proc. Amer. Math. Soc. 139 (2011), 2519-2527.
Articles in review
- Coordinate shadows of semi-definite and Euclidean distance matrices, D. Drusvyatskiy, G. Pataki, H. Wolkowicz. Manuscript, 19 pages, 2014.
- Alternating projections and coupling slope, D. Drusvyatskiy, A.D. Ioffe, A.S. Lewis. Manuscript, 17 pages, 2014.
- Extreme point inequalities and geometry of the rank sparsity ball, D. Drusvyatskiy, S.A. Vavasis, H. Wolkowicz. Manuscript, 23 pages, 2014.
- Quadratic growth and critical point stability of semi-algebraic functions, D. Drusvyatskiy, A.D. Ioffe. Short note, 13 pages, Math. Program. Ser. A, 2013.
- Curves of descent, D. Drusvyatskiy, A.D. Ioffe, A.S. Lewis. Manuscript, 23 pages, SIAM J. Control and Optim., 2013.
Invited Research Talks
- Feasibility problems: from alternating projections to matrix completions, Tutte Seminar, University of Waterloo, Waterloo, Canada, Mar. 2014. Slides
- Slope and geometry in variational mathematics, Optimization and Equilibrium Seminar, DIM-CMM Universidad de Chile, Santiago, Chile, Nov. 2013.
- Slope and geometry in variational mathematics, Midwest Optimization Meeting, University of Western Ontario, ON, Canada, Oct. 2013.
- Slope and geometry in variational mathematics, West Coast Optimization Meeting (WCOM 2013), University of Victoria, BC, Canada, Oct. 2013. Slides
- Optimization and intrinsic geometry (session chair), International Conference on Continuous Optimization (ICCOPT 2013), Caparica, Portugal, Jul. 2013. Slides
- Optimization and intrinsic geometry, ISE seminar, Lehigh University, Bethlehem, Pennsylvania, Feb. 2013. Slides
- Slope and geometry in variational mathematics, South Pacific Optimization Meeting (SPOM 2013), The University of Newcastle, Newcastle, Australia, Feb. 2013. Slides
- Slope and geometry in variational mathematics, UW-PIMS Mathematics Colloquium, University of Washington, Seattle, Washington, USA, Jan. 2013. Slides
- Active sets, steepest descent, and smooth approximations of functions, Combinatorics and Optimization Seminar, University of Waterloo, Waterloo, Ontario, Canada, Jan. 2013. Slides
- Active sets, steepest descent, and smooth approximations of functions, Nonlinear Analysis and Optimization Seminar, Technion - Israel Institute of Tech., Haifa, Israel, Nov. 2012. Slides
- Active sets, steepest descent, and smooth approximations of functions, UW Optimization seminar, University of Washington, Seattle, Washington, USA, Oct. 2012. Slides
- Identifiability and the foundations of sensitivity analysis, International Symposium on Mathematical Programming, Berlin Institute of Technology, Berlin, Germany, Aug. 2012. Slides
- Variational analysis and smooth substructure, Constructive Nonsmooth Analysis and Related Topics, Euler International Mathematical Institute, St. Petersburg, Russia, June 2012. Slides
- Variational analysis and smooth substructure, Variational Analysis and Applications, Erice, Sicily, May 2012. Slides
- Variational analysis and smooth substructure, Seminar on Nonlinear Analysis and Optimization, Technion - Israel Institute of Technology, Haifa, Israel, Jan. 2012. Slides