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T. Haque, Y. Lucet.
A Linear-Time Algorithm to Compute the Conjugate of Convex Piecewise Linear-Quadratic Functions . Submitted May 8, 2017. M. Jaberipour, W. Hare, Y. Lucet.
Multi-fidelity surrogates for vertical alignment optimization in road design . Submitted December 13, 2017.
D. Kumar, Y. Lucet.
. Submitted April 10, 2017. Accepted Feb 26, 2018 in Computation of the Epsilon-Subdifferential of Convex Piecewise Linear-Quadratic Functions in Optimal Worst-Case Time Set-Valued and Variational Analysis. arxiv.org previous version. V. Beiranvand, W. Hare, Y. Lucet.
. Submitted June 3, 2016. Accepted Aug 23, 2017 in Best Practices for Comparing Optimization Algorithms Optimization and Engineering; arviv.org previous version. A. Bajaj, W. Hare, Y. Lucet.
. Submitted June 6, 2016. Accepted January 11, 2017 in Visualization of the $\epsilon$-subdifferential of Piecewise Linear-Quadratic Functions Computational Optimization and Applications; arxiv.org previous version. V. Beiranvand, W. Hare, Y. Lucet, S. Hossain.
. Submitted April 26, 2015. Accepted November 30, 2016 in Multi-Haul Quasi Network Flow Model for Vertical Alignment Optimization Engineering Optimization; arxiv.org previous version. D. Hirpa, W. Hare, Y. Lucet, Y. Pushak, S. Tesfamariam.
. Submitted August 20, 2014. Accepted Jan 27, 2016 in A bi-objective optimization framework for three-dimensional road alignment design Transportation Research Part C: Emerging Technologies; arxiv.org previous version. Y. Pushak, W. Hare, Y. Lucet.
. Submitted October 23, 2014. Accepted July 16, 2015 in Multiple-Path Selection for new Highway Alignments using Discrete Algorithms European Journal of Operational Research; arxiv.org previous version. S. Mondal, Y. Lucet, W. Hare.
. Submitted August 15, 2014. Accepted May 29, 2015 in Optimizing horizontal alignment of roads in a specified corridor Computers & Operations Research; arxiv.org previous version. H. H. Bauschke, Y. Lucet, H. M. Phan.
. Submitted August 17, 2014. Accepted April 9, 2015 in On the convexity of piecewise-defined functions ESAIM (European Series in Applied and Industrial Mathematics): Control, Optimisation and Calculus of Variations ; arxiv.org previous version. W. Hare, Y. Lucet, F. Rahman.
. Submitted Feb 1, 2013. Accepted August 24, 2014 in A mixed-integer linear programming model to optimize the vertical alignment considering blocks and side-slopes in road construction European Journal of Operational Research A. Offenwanger, Y. Lucet.
. Submitted August 31, 2013. Conference on May 2-4, 2014. Published in Proceedings of the Western Canadian Conference on Computing Education, WCCCE '14. ConEE: An Exhaustive Testing Tool to Support Learning Concurrent Programming Synchronization Challenges I. Rahmanian, Y. Lucet, S. Tesfamariam.
. Submitted May 10, 2013. Accepted in Optimal Design of Reinforced Concrete Beams: A Review Computers and Concrete, An International Journal on Feb 2, 2014. W. Hare; S. Hossain, Y. Lucet, F. Rahman.
. Submitted April 13, 2013. Accepted in Models and strategies for efficiently determining an optimal vertical alignment of roads Computers & Operations Research on November 6, 2013. B. Gardiner, J. Khan, Y. Lucet.
. Submitted June 22, 2011. Accepted on October 21, 2013 in Computing the Partial Conjugate of Convex Piecewise Linear-Quadratic Bivariate functions Computational Optimization and Applications 58(1), 249-272, 2014. W. Hare and Y. Lucet.
. Submitted March 16, 2011. Accepted in Derivative-Free Optimization via Proximal Point Methods Journal of Optimization Theory and Applications on June 1, 2013. Y. Lucet.
. Submitted January 30, 2012. Accepted Jan 9, 2013 in Techniques and Open Questions in Computational Convex Analysis Springer Proceedings in Mathematics & Statistics, Vol. 50, Computational and Analytical Mathematics, a special issue in Honor of Jonathan Borwein's 60th Birthday. H. H. Bauschke and Y. Lucet.
Accepted Oct 4, 2011 in WHAT IS the Fenchel Conjugate? Notices of the AMS. B. Gardiner, Y. Lucet.
. Submitted March 1, 2011. Accepted on November 7, 2011 in Computing the Conjugate of Convex Piecewise Linear-Quadratic Bivariate functions Mathematical Programming; 139(1), 161-184, 2013. W. Hare, V. Koch, Y. Lucet.
. Volume 215, Issue 2, 1 December 2011, Pages 470480. Submitted Aug 19, 2010. Accepted June 8, 2011 in the Models and algorithms to improve earthwork operations in road design using mixed integer linear programming European Journal of Operational Research Y. Lucet.
. SIGEST section of SIAM Review. Volume 52, Issue 3, pp. 505-542 (2010). Revised version submitted on March 11, 2010. Published August 5, 2010. What Shape is your Conjugate? A Survey of Computational Convex Analysis and its Applications, B. Gardiner and Y. Lucet.
. Volume 18, Numbers 3-4 (2010), 467-482. Submitted Feb 2010. Accepted on Aug 10, 2010 in Convex Hull Algorithms for Piecewise Linear-Quadratic Functions in Computational Convex Analysis Set-Valued and Variational Analysis. B. Gardiner and Y. Lucet.
. 2011, Volume 49, 243-259. Submitted Jan 2010. Accepted Aug 18, 2010 in the book "Fixed-Point Algorithms for Inverse Problems in Science and Engineering", part of the Springer Verlag series Optimization and Its Applications Graph-Matrix Calculus for Computational Convex Analysis V. Koch, and Y. Lucet.
. Volume 6, Number 2, pages 393 - 400, May 2010. Submitted August 14, 2009. Resubmitted (minor revisions) Jan 2010. Accepted in A note on: Spline technique for modeling roadway profile to minimize earthwork cost Journal of Industrial and Management Optimization (JIMO) on Jan 2010. V. Koch, J. Johnstone and Y. Lucet.
. Volume 148, Number 1 (2011), 107-124. Submitted June 29, 2009. Accepted in Convexity of the Proximal Average Journal of Optimization Theory and Applications on June 14, 2010. B. Gardiner and Y. Lucet.
. Volume 16, Number 4. Submitted May 15, 2008; Accepted in Numerical Computation of Fitzpatrick Functions Journal of Convex Analysis on January 7, 2009. Y. Lucet.
. Volume 20, Number 1, Pages 216-250. Accepted in What Shape is your Conjugate? A Survey of Computational Convex Analysis and its Applications, SIAM Journal of Optimization on December 2, 2008. H. H. Bauschke, R. Goebel, Y. Lucet and S. Wang.
. Volume 19, Number 2, 766-785, 2008. Submitted in April 2007. Accepted March 5, 2008. Published on line July 3, 2008 in SIAM Journal of Optimization. The Proximal Average: Basic Theory H. H. Bauschke, Y. Lucet and S. Wang.
. (Submitted 2006, accepted July 2007.) Primal-Dual Symmetric Intrinsic Methods for Finding Antiderivatives of Cyclically Monotone Operators SIAM Journal of Control and Optimization (SICON), Volume 46 Issue 6, Pages 2031-2051, 2007. Y. Lucet, H. H. Bauschke, and M. Trienis.
Submitted in July 2006. Accepted in The Piecewise Linear-Quadratic Model for Computational Convex Analysis Computational Optimization and Applications on June 21, 2007. Published in Computational Optimization and Applications, Volume 43, Number 1 on May 8, 2009 H. H. Bauschke, Y. Lucet, and M. Trienis.
. How To Transform One Convex Function Continuously Into Another SIAM Review, Volume 50, Number 1, 115-132, 2008. (Accepted June 19, 2007). Y. Lucet, 2006.
Accepted for publication on November 29, 2006. Fast Moreau Envelope Computation I: Numerical Algorithms Numerical Algorithms, Volume 43, Number 3, 235-249, November 2006. Y. Lucet, 2006.
. Accepted for publication on July 3, 2006 in a special issue of New Sequential Exact Euclidean Distance Transform Algorithms based on Convex Analysis Image and Vision Computing, Volume 27, Issues 1-2, 37-44, 2009. J.-B. Hiriart-Urruty and Y. Lucet, 2006.
Accepted for publication on June 7, 2006 in Parametric computation of the Legendre-Fenchel Conjugate with application to the computation of the Moreau envelope Journal of Convex Analysis, Volume 14, Number 3, 657-666, August 2007. Y. Lucet, 2005.
. Proceedings of the Second Canadian Conference on Computer and Robot Vision (CRV 2005), IEEE Computer Society Press, 262-267, May 2005. A linear Euclidean distance transform algorithm based on the Linear-time Legendre Transform Y. Lucet and J. Ye, 2002.
. SIAM J. Control and Optim., 40(3):699-723. with Errata: Y. Lucet and J. Ye, 2002. Sensitivity Analysis for the value function for Optimization Problems with Variational Inequalities Constraints Erratum: Sensitivity analysis of the value function for optimization problems with variational inequality constraints. SIAM J. Control and Optim., 41(4):1315-1319. J. Borwein, Y. Lucet, and B. Mordukhovich, 2000.
. Journal of Convex Analysis, 7, No. 2, 375-393 Compactly Epi-Lipschitzian Convex Sets and Functions in Normed Spaces Y. Lucet, 1997.
. Numerical Algorithms, 16(2):171-185. Faster than the fast Legendre transform, the linear-time Legendre transform Code in Netlib. Y. Lucet, 1996.
. Computational Optimization and Applications, 6(1):27-57. A fast computational algorithm for the Legendre-Fenchel transform Patent
Method and System for Determining the Vertical Alignment of an Infrastructure Corridor,
United States Patent Application 20130290071
The library is available. The latest version has been accepted in Computational Convex Analysis Scilab ATOMS on February 21, 2012.
S. Sarafrazi, J. Loeppky, Y. Lucet.
A Survey on the Sensitivity Analysis Methods for Understanding Complex Models. June 4, 2015. B. Gardiner and Y. Lucet.
A Coverage Testing Method for Scientific Languages. March 15, 2010. Y. Lucet.
. Hybrid Symbolic-Numeric Algorithms for Computational Convex Analysis 6, Zurich Switzerland, July 2007. Submitted October 16, 2007. Online Jan 29, 2009 th International Congress on Industrial and Applied Mathematics Y. Lucet, 1998.
preprint CECM 98:114. Simon Fraser University. The Legendre-Fenchel conjugate: Numerical computation