Bruno F. Lourenço

Associate Professor

The Institute of Statistical Mathematics/SOKENDAI
Department of Fundamental Statistical Mathematics/Department of Statistical Science
Statistical Decision-Making Group
Email: bruno “at” ism.ac.jp
Visiting associate professor at RIMS-Kyoto University (until March/2026)

Research Interests

• Conic linear programming: algorithms, regularization techniques and ill-posedness.
• Nonlinear conic programming: algorithms and optimality conditions.
• Geometry of convex sets and error bounds
• Nonsmooth optimization

Upcoming events

• Muramatsu-sensei’s 60th birthday workshop, University of Electro-Communications, Japan, August 27, 2025
• Speeding up of symbolic computation and its application to solving industrial problems 3, Fukuoka, Japan, November 13-14, 2025
• Geometric Aspects of Mathematical Optimization and Statistical Theories, Osaka Metropolitan University, December 16-17, 2025
• Cones: Theory and Optimization, Kyoto, Japan, December 1-3, 2025

Past Events, Past Visitors

News

• 2025/04/25 New preprint “On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian”
• 2025/03/16 The paper “Minimal hyperbolic polynomials and ranks of homogeneous cones” was accepted at the Journal of Convex Analysis.
• 2025/02/26 The paper “Tight error bounds for log-determinant cones without constraint qualifications” was accepted at the Journal of Optimization Theory and Applications.
• 2025/02/06 New preprint “Facial structure of copositive and completely positive cones over a second-order cone”
• 2024/12/20 New preprint “Faces of homogeneous cones and applications to homogeneous chordality”
• 2024/12/10 The paper “Non-facial exposedness of copositive cones over symmetric cones” was accepted at the Journal of Mathematical Analysis and Applications.
• 2024/09/24 The paper “Closing duality gaps of SDPs completely through perturbation when singularity degree is one” was accepted at Optimization Methods and Software.
• 2024/07/19 New preprint “Concrete convergence rates for common fixed point problems under Karamata regularity”
• 2024/06/23 New preprint “Projection onto hyperbolicity cones and beyond: a dual Frank-Wolfe approach”
• 2024/06/15 The paper “Eigenvalue programming beyond matrices” was accepted at Computational Optimization and Applications.