N. Kundu, Y. Lucet
 Closest univariate convex linearquadratic function approximation with minimal number of pieces
 Journal of Convex Analysis

 CCA
 20240330
 20241006


M. Abbasi, R. I. Nishat, C. Bond, J. B. GrahamKnight, P. Lasserre, Y. Lucet, H. Najjaran
 A Review of AI and Machine Learning Contribution in Business Process Management (Process Enhancement and Process Improvement Approaches)
 Business Process Management Journal

 ML
 20231029
 20240920


K. Ayman, W. Hare, Y. Lucet
 A MultiRoad Quasi Network Flow Model for Vertical Alignment Optimization of a Road Network
 Engineering Optimization
 researchgate
 Road
 20210820
 20230608
 20230704

A. Iannantuono, W. Hare, Y. Lucet
 Optimization with regularization to create sensible vertical alignments in road design
 Decision Analytics Journal (DAJOUR)
 Open access
 Road
 20220926
 20230205
 20230216

J. B. GrahamKnight, C. Bond, H. Najjaran, Y. Lucet, P. Lasserre
 Predicting and Explaining Performance and Diversity of Neural Network Architecture for Semantic Segmentation
 Expert Systems with Applications (ESWA)

 ML
 20220412
 20221018
 20221029

Nusrat Suzana Momo, Y. Lucet, W. Hare
 Modeling Side Slopes in Vertical Alignment Resource Road Construction using Convex Optimization
 ComputerAided Civil and Infrastructure Engineering
 researchgate
 Road
 20211020
 20220527
 20220617

A. Akhmet, W. Hare, Y. Lucet,
 Biobjective optimization for road vertical alignment design
 Computers & Operations Research
 researchgate
 Road
 20210721
 20220217
 20220307

D. Monnet, W. Hare, Y. Lucet
 A successive relaxation algorithm to solve a MILP involving piecewise linear functions with application to road design
 Computational Optimization and Applications
 researchgate
 Road
 20200114
 20211210
 20220128

S. Singh, Y. Lucet
 Lineartime convexity test for loworder piecewise polynomials
 SIAM Journal on Optimization
 researchgate
 CCA
 20191001
 20201111
 20210101

D. Monnet, W. Hare, Y. Lucet
 Fast feasibility check of the multimaterial vertical alignment problem in road design
 Computational Optimization and Applications
 researchgate
 Road
 20190911
 20191129
 20191211

M. Aziz, M. Jaberipour, W. Hare, Y. Lucet
 Multifidelity surrogates for vertical alignment optimization in road design
 Engineering Optimization
 researchgate
 Road
 20190610
 20191103  20191127

D. Kumar, Y. Lucet
 Towards the biconjugate of bivariate piecewise quadratic functions
 Springer AISC proceedings of WCGO 2019
 arxiv.org
 CCA
 20190123
 20190327
 20190309

T. Haque, Y. Lucet
 A LinearTime Algorithm to Compute the Conjugate of Convex Piecewise LinearQuadratic Functions
 Computational Optimization and Applications
 UBC Circle
 CCA
 20170508
 20180409
 20180601

D. Kumar, Y. Lucet.
 Computation of the EpsilonSubdifferential of Convex Piecewise LinearQuadratic Functions in Optimal WorstCase Time
 SetValued and Variational Analysis
 arxiv.org
 CCA
 20170417
 20180226
 20180309

V. Beiranvand, W. Hare, Y. Lucet
 Best Practices for Comparing Optimization Algorithms
 Optimization and Engineering
 arviv.org
 Other
 20160603
 20170823
 20171201

A. Bajaj, W. Hare, Y. Lucet
 Visualization of the $\epsilon$subdifferential of Piecewise LinearQuadratic Functions
 Computational Optimization and Applications
 arxiv.org
 CCA
 20160606
 20170111
 20170601

V. Beiranvand, W. Hare, Y. Lucet, S. Hossain
 MultiHaul Quasi Network Flow Model for Vertical Alignment Optimization
 Engineering Optimization
 arxiv.org
 Road
 20150426
 20161130
 20170119

D. Hirpa, W. Hare, Y. Lucet, Y. Pushak, S. Tesfamariam
 A biobjective optimization framework for threedimensional road alignment design
 Transportation Research Part C: Emerging Technologies
 arxiv.org
 Road
 20140820
 20160127
 20160401

Y. Pushak, W. Hare, Y. Lucet
 MultiplePath Selection for new Highway Alignments using Discrete Algorithms
 European Journal of Operational Research
 arxiv.org
 Road
 20141023
 20150716
 20160116

S. Mondal, Y. Lucet, W. Hare
 Optimizing horizontal alignment of roads in a specified corridor
 Computers & Operations Research
 arxiv.org
 Road
 20140815
 20150529
 20151201

H. H. Bauschke, Y. Lucet, H. M. Phan
 On the convexity of piecewisedefined functions
 ESAIM (European Series in Applied and Industrial Mathematics): Control, Optimisation and Calculus of Variations
 arxiv.org
 CCA
 20140817
 20151009
 20160730

W. Hare, Y. Lucet, F. Rahman
 A mixedinteger linear programming model to optimize the vertical alignment considering blocks and sideslopes in road construction
 European Journal of Operational Research
 researchgate
 Road
 20130201
 20140824
 20150316

A. Offenwanger, Y. Lucet
 ConEE: An Exhaustive Testing Tool to Support Learning Concurrent Programming Synchronization Challenges
 Proceedings of the Western Canadian Conference on Computing Education, WCCCE '14

 Other
 20130813
 20130813


I. Rahmanian, Y. Lucet, S. Tesfamariam
 Optimal Design of Reinforced Concrete Beams: A Review
 Computers and Concrete, An International Journal

 Other
 20130510
 20140202
 20140530

W. Hare; S. Hossain, Y. Lucet, F. Rahman
 Models and strategies for efficiently determining an optimal vertical alignment of roads
 Computers & Operations Research
 researchgate
 Road
 20130410
 20131106
 20140401

B. Gardiner, J. Khan, Y. Lucet
 Computing the Partial Conjugate of Convex Piecewise LinearQuadratic Bivariate functions
 Computational Optimization and Applications

 CCA
 20111022
 20131021
 20140501

W. Hare and Y. Lucet
 DerivativeFree Optimization via Proximal Point Methods
 Journal of Optimization Theory and Applications
 researchgate
 Other
 20111016
 20130601


Y. Lucet
 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

 CCA
 20120130
 20130109


H. H. Bauschke and Y. Lucet
 WHAT IS the Fenchel Conjugate?
 Notices of the AMS

 CCA
 20111004
 20111004


B. Gardiner, Y. Lucet
 Computing the Conjugate of Convex Piecewise LinearQuadratic Bivariate functions
 Mathematical Programming

 CCA
 20110301
 20111107
 20130601

W. Hare, V. Koch, Y. Lucet
 Models and algorithms to improve earthwork operations in road design using mixed integer linear programming
 European Journal of Operational Research
 researchgate
 Road
 20100819
 20110608
 20111201

Y. Lucet
 What Shape is your Conjugate? A Survey of Computational Convex Analysis and its Applications,
 SIGEST section of SIAM Review

 CCA
 20100311
 20100311
 20100805

B. Gardiner and Y. Lucet
 Convex Hull Algorithms for Piecewise LinearQuadratic Functions in Computational Convex Analysis
 SetValued and Variational Analysis

 CCA
 20100201
 20100801
 20101201

B. Gardiner and Y. Lucet
 GraphMatrix Calculus for Computational Convex Analysis
 in book FixedPoint Algorithms for Inverse Problems in Science and Engineering, Springer Verlag series Optimization and Its Applications

 CCA
 20100101
 20100801
 20110509

V. Koch, and Y. Lucet
 A note on: Spline technique for modeling roadway profile to minimize earthwork cost
 Journal of Industrial and Management Optimization (JIMO)

 Road
 20090814
 20100101
 20100101

V. Koch, J. Johnstone and Y. Lucet
 Convexity of the Proximal Average
 Journal of Optimization Theory and Applications

 CCA
 20090629
 20100614
 20110101

B. Gardiner and Y. Lucet
 Numerical Computation of Fitzpatrick Functions
 Journal of Convex Analysis

 CCA
 20080515
 20090107
 2009

Y. Lucet
 What Shape is your Conjugate? A Survey of Computational Convex Analysis and its Applications,
 SIAM Journal of Optimization

 CCA

 20081202


H. H. Bauschke, R. Goebel, Y. Lucet and S. Wang
 The Proximal Average: Basic Theory
 SIAM Journal of Optimization

 CCA
 20070401
 20080305
 20080703

H. H. Bauschke, Y. Lucet and S. Wang
 PrimalDual Symmetric Intrinsic Methods for Finding Antiderivatives of Cyclically Monotone Operators
 SIAM Journal of Control and Optimization (SICON)

 CCA
 20061123
 20070816
 20071130

Y. Lucet, H. H. Bauschke, and M. Trienis
 The Piecewise LinearQuadratic Model for Computational Convex Analysis
 Computational Optimization and Applications

 CCA
 20060718
 20070621
 20071109

H. H. Bauschke, Y. Lucet, and M. Trienis
 How To Transform One Convex Function Continuously Into Another
 SIAM Review

 CCA
 20060707
 20070626
 20080201

Y. Lucet
 Fast Moreau Envelope Computation I: Numerical Algorithms
 Numerical Algorithms

 CCA
 20050929
 20061129
 20070105

Y. Lucet
 New Sequential Exact Euclidean Distance Transform Algorithms based on Convex Analysis
 special issue of Image and Vision Computing

 CCA
 20051110
 20061020
 20061227

J.B. HiriartUrruty and Y. Lucet
 Parametric computation of the LegendreFenchel Conjugate with application to the computation of the Moreau envelope
 Journal of Convex Analysis

 CCA

 20060607
 200708

Y. Lucet
 A linear Euclidean distance transform algorithm based on the Lineartime Legendre Transform
 Proceedings of the Second Canadian Conference on Computer and Robot Vision (CRV 2005), IEEE Computer Society Press

 CCA

 200505
 2005

Y. Lucet and J. Ye
 Sensitivity Analysis for the value function for Optimization Problems with Variational Inequalities Constraints
 SIAM J. Control and Optim., 40(3):699723. with Errata: Y. Lucet and J. Ye, 2002. Erratum: Sensitivity analysis of the value function for optimization problems with variational inequality constraints

 Other

 2002
 20060726

J. Borwein, Y. Lucet, and B. Mordukhovich
 Compactly EpiLipschitzian Convex Sets and Functions in Normed Spaces
 Journal of Convex Analysis



 2000
 2000

Y. Lucet
 Faster than the fast Legendre transform, the lineartime Legendre transform
 Numerical Algorithms; Code in Netlib

 CCA

 1997
 1997

Y. Lucet
 A fast computational algorithm for the LegendreFenchel transform
 Computational Optimization and Applications

 CCA

 19950418
 1996
