Paul I. Barton

82 papers C 3Journal 70Unranked 9

Year	Rank	Type	Title / Venue / Authors
2024	J	`jnl`	Generalized derivatives of optimal-value functions with parameterized convex programs embedded. J. Glob. Optim. Yingkai Song, Paul I. Barton
2024	J	`jnl`	New Generalized Derivatives for Solving Variational Inequalities Using the Nonsmooth Newton Methods. J. Optim. Theory Appl. Yingkai Song, Paul I. Barton
2024	J	`jnl`	Tighter Bounds on Transient Moments of Stochastic Chemical Systems. J. Optim. Theory Appl. Flemming Holtorf, Paul I. Barton
2022	J	`jnl`	Generalized derivatives of computer programs. Optim. Methods Softw. Matthew R. Billingsley, Paul I. Barton
2021	J	`jnl`	Tighter bounds on transient moments of stochastic chemical systems. CoRR Flemming Holtorf, Paul I. Barton
2019	J	`jnl`	Convergence-order analysis for differential-inequalities-based bounds and relaxations of the solutions of ODEs. J. Glob. Optim. Spencer D. Schaber, Joseph K. Scott, Paul I. Barton
2018	J	`jnl`	An Improved Multi-parametric Programming Algorithm for Flux Balance Analysis of Metabolic Networks. J. Optim. Theory Appl. Amir Akbari, Paul I. Barton
2018	J	`jnl`	Computationally relevant generalized derivatives: theory, evaluation and applications. Optim. Methods Softw. Paul I. Barton, Kamil A. Khan, Peter Stechlinski, Harry A. J. Watson
2018	J	`jnl`	Convergence-order analysis of branch-and-bound algorithms for constrained problems. J. Glob. Optim. Rohit Kannan, Paul I. Barton
2018	J	`jnl`	Corrections to: Differentiable McCormick relaxations. J. Glob. Optim. Kamil A. Khan, Matthew Wilhelm, Matthew D. Stuber, Huiyi Cao, Harry A. J. Watson, Paul I. Barton
2018	J	`jnl`	Decision-dependent probabilities in stochastic programs with recourse. Comput. Manag. Sci. Lars Hellemo, Paul I. Barton, Asgeir Tomasgard
2018	J	`jnl`	Generalized Derivatives of Lexicographic Linear Programs. J. Optim. Theory Appl. Jose A. Gomez, Kai Höffner, Kamil A. Khan, Paul I. Barton
2018	J	`jnl`	Generalized Sensitivity Analysis of Nonlinear Programs. SIAM J. Optim. Peter G. Stechlinski, Kamil A. Khan, Paul I. Barton
2018	J	`jnl`	Nonsmooth differential-algebraic equations in chemical engineering. Comput. Chem. Eng. Peter G. Stechlinski, Michael Patrascu, Paul I. Barton
2017	J	`jnl`	Differentiable McCormick relaxations. J. Glob. Optim. Kamil A. Khan, Harry A. J. Watson, Paul I. Barton
2017	J	`jnl`	Generalized Derivatives for Hybrid Systems. IEEE Trans. Autom. Control. Kamil A. Khan, Paul I. Barton
2017	J	`jnl`	How to solve a design centering problem. Math. Methods Oper. Res. Stuart M. Harwood, Paul I. Barton
2017	J	`jnl`	Potential Canals for Control of Nonlinear Stochastic Systems in the Absence of State Measurements. IEEE Trans. Control. Syst. Technol. Arash Komaee, Paul I. Barton
2017	J	`jnl`	The cluster problem in constrained global optimization. J. Glob. Optim. Rohit Kannan, Paul I. Barton
2016	J	`jnl`	Bounds on reachable sets using ordinary differential equations with linear programs embedded. IMA J. Math. Control. Inf. Stuart M. Harwood, Joseph K. Scott, Paul I. Barton
2016	J	`jnl`	Efficient polyhedral enclosures for the reachable set of nonlinear control systems. Math. Control. Signals Syst. Stuart M. Harwood, Paul I. Barton
2016	J	`jnl`	Efficient solution of ordinary differential equations with a parametric lexicographic linear program embedded. Numerische Mathematik Stuart M. Harwood, Kai Höffner, Paul I. Barton
2016	J	`jnl`	Generalized Derivatives of Differential-Algebraic Equations. J. Optim. Theory Appl. Peter G. Stechlinski, Paul I. Barton
2016	J	`jnl`	Generalized derivatives of dynamic systems with a linear program embedded. Autom. Kai Höffner, Kamil A. Khan, Paul I. Barton
2016	—	`conf`	Generalized derivatives of optimal control problems with nonsmooth differential-algebraic equations embedded. CDC Peter G. Stechlinski, Paul I. Barton
2016	J	`jnl`	Spatiotemporal modeling of microbial metabolism. BMC Syst. Biol. Jin Chen, Jose A. Gomez, Kai Höffner, Poonam Phalak, Paul I. Barton, Michael A. Henson
2015	J	`jnl`	A vector forward mode of automatic differentiation for generalized derivative evaluation. Optim. Methods Softw. Kamil A. Khan, Paul I. Barton
2015	J	`jnl`	Convex and concave relaxations of implicit functions. Optim. Methods Softw. Matthew D. Stuber, Joseph K. Scott, Paul I. Barton
2015	J	`jnl`	Reverse propagation of McCormick relaxations. J. Glob. Optim. Achim Wechsung, Joseph K. Scott, Harry A. J. Watson, Paul I. Barton
2015	J	`jnl`	Switching behavior of solutions of ordinary differential equations with abs-factorable right-hand sides. Syst. Control. Lett. Kamil A. Khan, Paul I. Barton
2014	J	`jnl`	DFBAlab: a fast and reliable MATLAB code for dynamic flux balance analysis. BMC Bioinform. Jose A. Gomez, Kai Höffner, Paul I. Barton
2014	J	`jnl`	Generalized Derivatives for Solutions of Parametric Ordinary Differential Equations with Non-differentiable Right-Hand Sides. J. Optim. Theory Appl. Kamil A. Khan, Paul I. Barton
2014	—	`conf`	Generalized gradient elements for nonsmooth optimal control problems. CDC Kamil A. Khan, Paul I. Barton
2014	J	`jnl`	Global optimization of bounded factorable functions with discontinuities. J. Glob. Optim. Achim Wechsung, Paul I. Barton
2014	C	`conf`	The application of an automated plant-wide control strategy for a continuous pharmaceutical pilot plant. ACC Richard Lakerveld, Brahim Benyahia, Patrick L. Heider, Haitao Zhang, Aaron Wolfe, Chris Testa, Sean Ogden, Devin R. Hersey, Salvatore Mascia, James M. B. Evans, Richard D. Braatz, Paul I. Barton
2014	J	`jnl`	The cluster problem revisited. J. Glob. Optim. Achim Wechsung, Spencer D. Schaber, Paul I. Barton
2013	J	`jnl`	An outer-approximation approach for information-maximizing sensor selection. Optim. Lett. Han-Lim Choi, Jonathan P. How, Paul I. Barton
2013	—	`conf`	Bounds on Reachable Sets Using Ordinary Differential Equations with Linear Programs Embedded. NOLCOS Stuart M. Harwood, Joseph K. Scott, Paul I. Barton
2013	J	`jnl`	Bounds on the reachable sets of nonlinear control systems. Autom. Joseph K. Scott, Paul I. Barton
2013	J	`jnl`	Convex and Concave Relaxations for the Parametric Solutions of Semi-explicit Index-One Differential-Algebraic Equations. J. Optim. Theory Appl. Joseph K. Scott, Paul I. Barton
2013	J	`jnl`	Evaluating an element of the Clarke generalized Jacobian of a composite piecewise differentiable function. ACM Trans. Math. Softw. Kamil A. Khan, Paul I. Barton
2013	J	`jnl`	Improved relaxations for the parametric solutions of ODEs using differential inequalities. J. Glob. Optim. Joseph K. Scott, Paul I. Barton
2013	J	`jnl`	Interval bounds on the solutions of semi-explicit index-one DAEs. Part 1: analysis. Numerische Mathematik Joseph K. Scott, Paul I. Barton
2013	J	`jnl`	Interval bounds on the solutions of semi-explicit index-one DAEs. Part 2: computation. Numerische Mathematik Joseph K. Scott, Paul I. Barton
2012	J	`jnl`	Decomposition strategy for the stochastic pooling problem. J. Glob. Optim. Xiang Li, Asgeir Tomasgard, Paul I. Barton
2011	—	`conf`	Convex relaxations for nonconvex optimal control problems. CDC/ECC Joseph K. Scott, Paul I. Barton
2011	J	`jnl`	Generalized McCormick relaxations. J. Glob. Optim. Joseph K. Scott, Matthew D. Stuber, Paul I. Barton
2011	J	`jnl`	Nonconvex Generalized Benders Decomposition for Stochastic Separable Mixed-Integer Nonlinear Programs. J. Optim. Theory Appl. Xiang Li, Asgeir Tomasgard, Paul I. Barton
2011	J	`jnl`	Sensitivity Analysis of Limit-Cycle Oscillating Hybrid Systems. SIAM J. Sci. Comput. Kamil A. Khan, Vibhu P. Saxena, Paul I. Barton
2010	—	`conf`	Convex enclosures for the reachable sets of nonlinear parametric ordinary differential equations. CDC Joseph K. Scott, Paul I. Barton
2010	—	`conf`	Decomposition strategy for natural gas production network design under uncertainty. CDC Xiang Li, Asgeir Tomasgard, Paul I. Barton
2010	C	`conf`	Long-term planning of natural gas production systems via a stochastic pooling problem. ACC Xiang Li, Emre Armagan, Asgeir Tomasgard, Paul I. Barton
2010	J	`jnl`	Tight, efficient bounds on the solutions of chemical kinetics models. Comput. Chem. Eng. Joseph K. Scott, Paul I. Barton
2009	J	`jnl`	McCormick-Based Relaxations of Algorithms. SIAM J. Optim. Alexander Mitsos, Benoît Chachuat, Paul I. Barton
2009	J	`jnl`	Parametric mixed-integer 0-1 linear programming: The general case for a single parameter. Eur. J. Oper. Res. Alexander Mitsos, Paul I. Barton
2009	J	`jnl`	Sensitivity Analysis for Oscillating Dynamical Systems. SIAM J. Sci. Comput. A. Katharina Wilkins, Bruce Tidor, Jacob K. White, Paul I. Barton
2009	J	`jnl`	Towards global bilevel dynamic optimization. J. Glob. Optim. Alexander Mitsos, Benoît Chachuat, Paul I. Barton
2008	C	`conf`	An outer-approximation algorithm for generalized maximum entropy sampling. ACC Han-Lim Choi, Jonathan P. How, Paul I. Barton
2008	J	`jnl`	Global Optimization Of Linear Hybrid Systems With Varying Transition Times. SIAM J. Control. Optim. Cha Kun Lee, Paul I. Barton
2008	J	`jnl`	Global solution of bilevel programs with a nonconvex inner program. J. Glob. Optim. Alexander Mitsos, Panayiotis Lemonidis, Paul I. Barton
2008	—	`conf`	Gobal optimization of linear hybrid systems with varying transition times. CDC Cha Kun Lee, Paul I. Barton
2008	J	`jnl`	Relaxation-Based Bounds for Semi-Infinite Programs. SIAM J. Optim. Alexander Mitsos, Panayiotis Lemonidis, Cha Kun Lee, Paul I. Barton
2007	J	`jnl`	The Per2 Negative Feedback Loop Sets the Period in the Mammalian Circadian Clock Mechanism. PLoS Comput. Biol. A. Katharina Wilkins, Paul I. Barton, Bruce Tidor
2006	J	`jnl`	Bounding the Solutions of Parameter Dependent Nonlinear Ordinary Differential Equations. SIAM J. Sci. Comput. Adam B. Singer, Paul I. Barton
2006	J	`jnl`	Global Optimization with Nonlinear Ordinary Differential Equations. J. Glob. Optim. Adam B. Singer, Paul I. Barton
2006	J	`jnl`	Optimization of hybrid systems. Comput. Chem. Eng. Paul I. Barton, Cha Kun Lee, Mehmet Yunt
2005	J	`jnl`	Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals. SIAM J. Sci. Comput. Derya B. Özyurt, Paul I. Barton
2005	J	`jnl`	Global Optimization Of Linear Hybrid Systems With Varying Time Events. Int. J. Softw. Eng. Knowl. Eng. Cha Kun Lee, Paul I. Barton
2005	J	`jnl`	Global solution of semi-infinite programs. Math. Program. B. Bhattacharjee, Panayiotis Lemonidis, William H. Green Jr., Paul I. Barton
2005	J	`jnl`	Interval Methods for Semi-Infinite Programs. Comput. Optim. Appl. Binita Bhattacharjee, William H. Green Jr., Paul I. Barton
2004	J	`jnl`	Design of process operations using hybrid dynamic optimization. Comput. Chem. Eng. Paul I. Barton, Cha Kun Lee
2004	J	`jnl`	Global optimization of linear hybrid systems with explicit transitions. Syst. Control. Lett. Cha Kun Lee, Adam B. Singer, Paul I. Barton
2004	J	`jnl`	Outer approximation algorithms for separable nonconvex mixed-integer nonlinear programs. Math. Program. Padmanaban Kesavan, Russell J. Allgor, Edward P. Gatzke, Paul I. Barton
2003	—	`conf`	Determining the Optimal Mode Sequence ADHS Cha Kun Lee, Paul I. Barton
2003	J	`jnl`	Index and Characteristic Analysis of Linear PDAE Systems. SIAM J. Sci. Comput. Wade S. Martinson, Paul I. Barton
2002	J	`jnl`	Hidden Discontinuities and Parametric Sensitivity Calculations. SIAM J. Sci. Comput. John E. Tolsma, Paul I. Barton
2002	J	`jnl`	Modeling, simulation, sensitivity analysis, and optimization of hybrid systems. ACM Trans. Model. Comput. Simul. Paul I. Barton, Cha Kun Lee
2002	—	`conf`	On inconsistent initial conditions for linear time-invariant differential-algebraic equations. ISCAS (3) Gunther Reißig, Holger Boche, Paul I. Barton
2000	J	`jnl`	A Differentiation Index for Partial Differential-Algebraic Equations. SIAM J. Sci. Comput. Wade S. Martinson, Paul I. Barton
2000	J	`jnl`	Differential-Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index. SIAM J. Sci. Comput. Gunther Reissig, Wade S. Martinson, Paul I. Barton
1999	J	`jnl`	Efficient Calculation of Sparse Jacobians. SIAM J. Sci. Comput. John E. Tolsma, Paul I. Barton
1996	J	`jnl`	State Event Location in Differential-Algebraic Models. ACM Trans. Model. Comput. Simul. Taeshin Park, Paul I. Barton