Jérôme Bolte

Maître de Conférences

Office 1E12 (1st floor, wing E) 175, rue du Chevaleret 75013 Paris (How to get there ?) Adress     Université Pierre et Marie Curie (Paris 6) Combinatoire et Optimisation - case 189 4, place Jussieu 75252 Paris Cedex 05, France Phone 01 44 27 85 39 Fax 01 44 27 27 24 email bolte@math.jussieu.fr

Version française
 

Research interest

Algorithms for continuous Optimization
Subgradient methods
Newton's method
Nonsmooth analysis

Preprints

• Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems,
  Optimization Online preprint (29p) (Pdf file),
  joint work with F. Alvarez, F. Bonnans et F. Silva

• Generic identifiability and second-order sufficiency in tame convex optimization,
  Optimization Online preprint (18p) (Pdf file),
  joint work with A. Daniilidis, A.S. Lewis

Articles

• Proximal alternating minimization and projection methods for nonconvex problems. An approach based on the Kurdyka-Lojasiewicz inequality ,
  to appear in Math. of Op. Researchs, ( Pdf file),
  joint work with H. Attouch, P. Redont, A. Soubeyran

• Characterizations of Lojasiewicz inequalities and applications : subgradient flows, talweg, convexity,
  to appear in Transactions of the AMS, (Pdf file),
  joint work with A. Daniilidis, O. Ley, L. Mazet

• Clarke subgradients of stratifiable functions,
  SIAM J. Optim. 18 (2007), no. 2, 556--572 (Pdf file)
  with A. Daniilidis, A.S. Lewis, M. Shiota

• Tame mappings are semismooth
  Mathematical Programming, 117 (2009), no. 1-2, Ser. B, 5--19. (Pdf file)
  with A. Daniilidis & A.S. Lewis

• The Lojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems
  SIAM J. Optim. 17 (2006), no. 4, 1205--1223 (Pdf file)
  with A. Daniilidis & A.S. Lewis

• A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
  Foundations of Computational Mathematics, 8 (2008), no. 2, 197--226. (Pdf file)
  with F. Alvarez & J. Munier

• On the convergence of the proximal algorithm for nonsmooth functions involving analytic features
  Mathematical Programming, 116 (2009), no. 1-2, Ser. B, 5--16.
  with H. Attouch

• The Morse-Sard theorem for non-differentiable subanalytic functions
  J.Mathematical Analysis and Applications, 321 (2006), p729-740,
  with A. Daniilidis, A.S. Lewis

• Clarke critical values of subanalytic Lipschitz continuous functions,
  Annales Polonici Mathematici, 87 (2005), p13-25, memorial issue for S. Lojasiewicz,
  with A. Daniilidis, A.S. Lewis and M. Shiota

• Singular Riemannian barrier methods and gradient-projection dynamical systems for constrained optimization.
  Optimization 53 (2004), no. 5-6, 435--454,
  with H. Attouch, P. Redont and M. Teboulle

• Hessian Riemannian gradient flows in convex programming,
  SIAM J. Control Optim. 43 (2004), no. 2, 477--501,
  with F. Alvarez and O. Brahic

• Barrier operators and associated gradient-like dynamical systems for constrained minimization problems
  
SIAM J. Control Optim. 42 (2003), no. 4, 1266--1292,
with M. Teboulle

• Continuous gradient projection method in Hilbert spaces,
  J. Optim. Theory Appl. 119 (2003), no. 2, 235--259,

• Optimizing properties of an inertial dynamical system with geometric damping. Link with proximal methods,
  Control Cybernet. 31 (2002), no. 3, 643--657 ,
  with H. Attouch and P. Redont

• A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics,
  J. Math. Pures Appl. (9) 81 (2002), no. 8, 747--779,
  with F. Alvarez, H. Attouch, and P. Redont