List of publications
Peer-reviewed journal articles
- Automatic differentiation rules for Tsoukalas-Mitsos convex relaxations in global process optimization Digital Chemical Engineering in press 2023 Open access (outgoing)
- General convex relaxations of implicit functions and inverse functions Journal of Global Optimization in press 2023 DOI (outgoing) GitHub (outgoing)
- Optimization-based convex relaxations for nonconvex parametric systems of ordinary differential equations Mathematical Programming 196:521-565 2022 DOI (outgoing) GitHub (outgoing)
- Solving nonograms using integer programming without coloring IEEE Transactions on Games 14(1):56-63 2022 DOI (outgoing) Julia code (outgoing) GAMS code (outgoing)
- Bounding convex relaxations of process models from below by tractable black-box sampling Computers & Chemical Engineering 153:107413 2021 DOI (outgoing) GitHub (outgoing)
- Constructing a subgradient from directional derivatives for functions of two variables Journal of Nonsmooth Analysis and Optimization 1:6551 2020 Open access (outgoing) DOI (outgoing) GitHub (outgoing)
- Whitney differentiability of optimal-value functions for bound-constrained convex programming problems Optimization 68(2-3):691-711 2019 DOI (outgoing)
- Convergence of subtangent-based relaxations of nonlinear programs Processes 7(4):221 2019 Open access (outgoing)
- Branch-locking AD techniques for nonsmooth composite functions and nonsmooth implicit functions Optimization Methods and Software 33(4-6):1127-1155 2018 DOI (outgoing)
- Computationally relevant generalized derivatives: theory, evaluation, and applications Optimization Methods and Software 33(4-6):1030-1072 2018 DOI (outgoing)
- Manifold sampling for optimization of nonconvex functions that are piecewise linear compositions of smooth components SIAM Journal on Optimization 28(4):3001-3024 2018 DOI (outgoing)
- Generalized sensitivity analysis of nonlinear programs SIAM Journal on Optimization 28(1):272-301 2018 DOI (outgoing)
- Generalized derivatives of lexicographic linear programs Journal of Optimization Theory and Applications 178:477-501 2018 DOI (outgoing)
- Differentiable McCormick relaxations Journal of Global Optimization 67(4):687-729 2017 Preprint (outgoing) DOI (outgoing)
- Relating lexicographic smoothness and directed subdifferentiability Set-Valued and Variational Analysis 25:233-244 2017 DOI (outgoing)
- Generalized derivatives for hybrid systems IEEE Transactions on Automatic Control 62(7):3193-3208 2017 DOI (outgoing)
- Generalized derivatives of dynamic systems with a linear program embedded Automatica 63:198-208 2016 DOI (outgoing)
-
A vector forward mode of
automatic differentiation for generalized derivative
evaluation
Optimization Methods and
Software
30(6):1185-1212
2015
DOI (outgoing)
GitHub
(outgoing)
2020 winner of the AIChE CAST Division's W. David Smith, Jr. Graduate Publication Award
- Multistream heat exchanger modeling and design AIChE Journal 61(10):3390-3403 2015 DOI (outgoing)
- Switching behavior of solutions of ordinary differential equations with abs-factorable right-hand sides Systems & Control Letters 84:27-34 2015 DOI (outgoing)
- Generalized derivatives for ordinary differential equations with non-differentiable right-hand sides Journal of Optimization Theory and Applications 163:355-386 2014 Preprint (outgoing) DOI (outgoing)
- Evaluating an element of the Clarke generalized Jacobian of a composite piecewise differentiable function ACM Transactions on Mathematical Software 39(4):23:1-23:28 2013 DOI (outgoing)
- Sensitivity analysis of limit-cycle oscillating hybrid systems SIAM Journal on Scientific Computing 33(4):1475-1504 2011 Preprint (outgoing) DOI (outgoing)
Peer-reviewed conference proceedings
- Identification of membrane fouling in full-scale water and wastewater treatment plants using data-driven models in: CSCE Annual Conference Moncton, accepted 2023
- Implementing adjoint subgradient evaluation for use in global dynamic optimization in: FOCAPO/CPC 2023 San Antonio, in press 2023
- Enclosing reachable sets for nonlinear control systems using complementarity-based intervals in: 16th IFAC Symposium on Advanced Control of Chemical Processes ADCHEM 2021 Venice, 590-595 2021 DOI (outgoing)
- Subtangent-based approaches for dynamic set propagation in: 57th IEEE Conference on Decision and Control Miami, 3050-3055 2018 DOI (outgoing)
- Generalized gradient elements for nonsmooth optimal control problems in: 53rd IEEE Conference on Decision and Control Los Angeles, 1887-1892 2014 DOI (outgoing)
- Evaluating an element of the Clarke generalized Jacobian of a piecewise differentiable function in: Recent Advances in Algorithmic Differentiation S. Forth, P. Hovland, E. Phipps, J. Utke, and A. Walther (eds.), Springer, Berlin. 115-125 2012 DOI (outgoing)
Theses
- Bounding reachable sets for global dynamic optimization PhD thesis, McMaster University. 2021 Open access (outgoing)
- New bounding methods for global dynamic optimization PhD thesis, McMaster University. 2021 Open access (outgoing)
- Sensitivity analysis of convex relaxations for nonsmooth global optimization MASc thesis, McMaster University. 2020 Open access (outgoing)
- Sensitivity analysis for nonsmooth dynamic systems PhD thesis, Massachusetts Institute of Technology. 2015 Open access (outgoing)