Jérôme Bolte

Jérôme Bolte, Laurent Miclo, and Stéphane Villeneuve, “Swarm gradient dynamics for global optimization: the mean-field limit case”, Mathematical Programming, 2024, forthcoming.

Jérôme Bolte, Cyrille Combettes, and Edouard Pauwels, “The Iterates of the Frank–Wolfe Algorithm May Not Converge”, Mathematics of Operations Research, 2024, forthcoming.

Jérôme Bolte, Tam Le, Edouard Pauwels, and Antonio Silveti-Falls, “Nonsmooth Implicit Differentiation for Machine Learning and Optimization”, March 2022.

Jérôme Bolte, Zheng Chen, and Edouard Pauwels, “The multiproximal linearization method for convex composite problems”, Mathematical Programming, vol. 182, July 2020, pp. 1–36.

Jérôme Bolte, and Edouard Pauwels, “Conservative set valued fields, automatic differentiation, stochastic gradient methods and deep learning”, Mathematical Programming, April 2020, pp. 1–33.

Jérôme Bolte, and Edouard Pauwels, “A mathematical model for automatic differentiation in machine learning”, in Advances in Neural Information Processing Systems, Hugo Larochelle, M. Ranzato, R. Hadsell, M.F. Balcan, and H. Lin (eds.), vol. 33, 2020.

Jérôme Bolte, Shoham Sabach, and Marc Teboulle, “Nonconvex Lagrangian-based optimization: Monitoring schemes and global convergence”, Mathematics of Operations Research, vol. 43, n. 4, November 2018, pp. 1051–1404.

Adrien Blanchet, and Jérôme Bolte, “A family of functional inequalities: Lojasiewicz inequalities and displacement convex functions”, Journal of Functional Analysis, vol. 25, n. 7, October 2018, pp. 1650–1673.

Jérôme Bolte, Shoham Sabach, Marc Teboulle, and Y. Vaisbourd, “First order methods beyond convexity and Lipschitz gradient continuity with applications to quadratic inverse problems”, SIAM Journal on Optimization, vol. 28, n. 3, 2018, pp. 2131–2151.

Jérôme Bolte, Antoine Hochart, and Edouard Pauwels, “Qualification conditions in semi-algebraic programming”, SIAM Journal on Optimization, vol. 28, n. 2, 2018, pp. 1867–1891.

Jérôme Bolte, Trong-Phong Nguyen, Juan Peypouquet, and Bruce W. Suter, “From error bounds to the complexity of first-order descent methods for convex functions”, Mathematical Programming, vol. 165, n. 2, October 2017, pp. 471–507.

Catherine Bobtcheff, Jérôme Bolte, and Thomas Mariotti, “Researcher's Dilemma”, The Review of Economic Studies, vol. 84, n. 3, July 2017, pp. 969–1014.

H.H. Bauschke, Jérôme Bolte, and Marc Teboulle, “A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications”, Mathematics of Operations Research, vol. 42, n. 2, May 2017, pp. 330–348.

H.H. Bauschke, Jérôme Bolte, and Marc Teboulle, “Lemma beyond Lipschitz gradient continuity: first-order methods revisited and applications”, Mathematics of Operations Research, vol. 42, n. 2, 2016, pp. 330–348.

Jérôme Bolte, and Edouard Pauwels, “Majorization-minimization procedures and convergence of SQP methods for semi-algebraic and tame programs”, Mathematics of Operations Research, January 2016, pp. 442–465.

Jérôme Bolte, Stéphane Gaubert, and Guillaume Vigeral, “Definable zero-sum stochastic games, Mathematics of Operations Research”, Mathematics of Operations Research, vol. 40, n. 1, February 2015, pp. 171–191.

Pascal Bégout, Jérôme Bolte, and Mohamed Ali Jendoubi, “On damped second-order gradient systems”, Journal of Differential Equations, vol. 259, n. 7-8, 2015, pp. 3115–3143.

Jérôme Bolte, Shoham Sabach, and Marc Teboulle, “Proximal alternating linearized method for nonconvex and nonsmooth problems”, Mathematical Programming, vol. 146, August 2014, pp. 459–494.

Hédy Attouch, Jérôme Bolte, and Benar Fux Svaiter, “Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel method”, Mathematical Programming, vol. 137, n. 1-2, 2013, pp. 91–129.

Felipe Alvarez, Jérôme Bolte, Frédéric Bonnans, and Francisco José Silva - Àlvarez, “Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems”, Mathematical Programming, vol. 135, n. 1-2, October 2012, pp. 473–507.