Andrew Eberhard

On the differentiability properties of the infimal regularisation of a prox-regular function

Publisher: Informa UK Limited

Date: 10-2007

DOI: 10.1080/02331930701617288

An application of approximation to comparison principles for viscosity solutions of curvature equations

Publisher: Elsevier BV

Date: 03-2006

DOI: 10.1016/J.NA.2005.05.064

A study of tilt-stable optimality and sufficient conditions

Publisher: Elsevier BV

Date: 02-2012

DOI: 10.1016/J.NA.2011.08.014

A parallelizable augmented Lagrangian method applied to large-scale non-convex-constrained optimization problems

Publisher: Springer Science and Business Media LLC

Date: 03-2018

DOI: 10.1007/S10107-018-1253-9

On the augmented Lagrangian dual for integer programming

Publisher: Springer Science and Business Media LLC

Date: 22-02-2015

DOI: 10.1007/S10107-014-0763-3

Reducing Fuel Burn through Air Traffic Flow Optimisation Incorporating Wind Models

Publisher: Elsevier BV

Date: 2015

DOI: 10.1016/J.PROENG.2015.06.049

A Trust Region Method for the Solution of the Surrogate Dual in Integer Programming

Publisher: Springer Science and Business Media LLC

Date: 18-11-2015

DOI: 10.1007/S10957-014-0681-9

Boosting the feasibility pump

Publisher: Springer Science and Business Media LLC

Date: 12-04-2014

DOI: 10.1007/S12532-014-0068-9

On the Calculus of Limiting Subhessians

Publisher: Springer Science and Business Media LLC

Date: 24-07-2007

DOI: 10.1007/S11228-007-0056-6

A Numerical Method for a Class of Mixed Switching and Impulsive Optimal Control Problems

Publisher: Elsevier BV

Date: 09-2006

DOI: 10.1016/J.CAMWA.2006.10.001

A cluster-based algorithm for home health care planning: A case study in Australia

Publisher: Elsevier BV

Date: 10-2022

DOI: 10.1016/J.TRE.2022.102878

A geometrical insight on pseudoconvexity and pseudomonotonicity

Publisher: Springer Science and Business Media LLC

Date: 10-11-2009

DOI: 10.1007/S10107-009-0324-3

Convergences for robust bilevel polynomial programmes with applications

Publisher: Informa UK Limited

Date: 19-05-2023

DOI: 10.1080/10556788.2023.2189719

The $\mathcal {U}$-Lagrangian, Fast Track, and Partial Smoothness of a Prox-regular Function

Publisher: Springer Science and Business Media LLC

Date: 27-08-2020

DOI: 10.1007/S11228-019-00518-Z

Combining progressive hedging with a frank–wolfe method to compute lagrangian dual bounds in stochastic mixed-integer programming^∗

Publisher: Society for Industrial & Applied Mathematics (SIAM)

Date: 2018

DOI: 10.1137/16M1076290

On the volatility of blood inventories

Publisher: Wiley

Date: 13-07-2016

DOI: 10.1111/ITOR.12326

Combining penalty‐based and Gauss–Seidel methods for solving stochastic mixed‐integer problems

Publisher: Wiley

Date: 23-03-2018

DOI: 10.1111/ITOR.12525

On partial smoothness, tilt stability and the $${\mathcal {VU}}$$-decomposition

Publisher: Springer Science and Business Media LLC

Date: 24-01-2018

DOI: 10.1007/S10107-018-1238-8

The p-Lagrangian relaxation for separable nonconvex MIQCQP problems

Publisher: Springer Science and Business Media LLC

Date: 22-02-2022

DOI: 10.1007/S10898-022-01138-Y

Abstract: This paper presents a novel technique to compute Lagrangian bounds for nonconvex mixed-integer quadratically constrained quadratic programming problems presenting a separable structure (i.e., a separable problems) such as those arising in deterministic equivalent representations of two-stage stochastic programming problems. In general, the nonconvex nature of these models still poses a challenge to the available solvers, which do not consistently perform well for larger-scale instances. Therefore, we propose an appealing alternative algorithm that allows for overcoming computational performance issues. Our novel technique, named the p -Lagrangian decomposition, is a decomposition method that combines Lagrangian decomposition with mixed-integer programming-based relaxations. These relaxations are obtained using the reformulated normalised multiparametric disaggregation technique and can be made arbitrarily precise by means of a precision parameter p . We provide a technical analysis showing the convergent behaviour of the approach as the approximation is made increasingly precise. We observe that the proposed method presents significant reductions in computational time when compared with a previously proposed techniques in the literature and the direct employment of a commercial solver. Moreover, our computational experiments show that the employment of a simple heuristic can recover solutions with small duality gaps.

Outer limits of subdifferentials for min–max type functions

Publisher: Informa UK Limited

Date: 09-11-2017

DOI: 10.1080/02331934.2017.1398750

Impact of Mathematical Norms on Convergence of Gradient Descent Algorithms for Deep Neural Networks Learning

Publisher: Springer International Publishing

Date: 2022

DOI: 10.1007/978-3-031-22695-3_10

First-order and second-order optimality conditions for nonsmooth constrained problems via convolution smoothing

Publisher: Informa UK Limited

Date: 2011

DOI: 10.1080/02331934.2010.522713

Comparison principles for viscosity solutions of elliptic equations via fuzzy sum rule

Publisher: Elsevier BV

Date: 07-2005

DOI: 10.1016/J.JMAA.2005.01.055

Convergence of truncates in l 1 optimal feedback control 61

Publisher: Springer New York

Date: 2009

DOI: 10.1007/978-0-387-98096-6_4

(Convex) Level Sets Integration

Publisher: Springer Science and Business Media LLC

Date: 12-08-2015

DOI: 10.1007/S10957-015-0795-8

Enhancing the normalized multiparametric disaggregation technique for mixed-integer quadratic programming

Publisher: Springer Science and Business Media LLC

Date: 17-12-2018

DOI: 10.1007/S10898-018-0728-9

Second Order Cones for Maximal Monotone Operators via Representative Functions

Publisher: Springer Science and Business Media LLC

Date: 05-03-2008

DOI: 10.1007/S11228-008-0075-Y

Characterization of subgradients, 1

Publisher: Elsevier BV

Date: 05-1988

DOI: 10.1016/0022-247X(88)90043-1

Orbital Geometry and Group Majorisation in Optimisation

Publisher: Springer Science and Business Media LLC

Date: 04-08-2020

DOI: 10.1007/S10013-020-00418-Y

A study of progressive hedging for stochastic integer programming

Publisher: Springer Science and Business Media LLC

Date: 11-10-2023

DOI: 10.1007/S10589-023-00532-W

Radius Theorems for Monotone Mappings

Publisher: Springer Science and Business Media LLC

Date: 09-02-2019

DOI: 10.1007/S11228-018-0469-4

All Maximal Monotone Operators in a Banach Space are of Type FPV

Publisher: Springer Science and Business Media LLC

Date: 12-03-2014

DOI: 10.1007/S11228-014-0275-6

Some Sufficient Optimality Conditions in Nonsmooth Analysis

Publisher: Society for Industrial & Applied Mathematics (SIAM)

Date: 2009

DOI: 10.1137/07068059X

Closure Operations of Convex Sets in $$X\times X^{*}$$ and Monotone Operators

Publisher: Springer Science and Business Media LLC

Date: 25-07-2023

DOI: 10.1007/S10013-023-00621-7

Abstract: We develop a number of new results on “closure operations” based on $$s\\times \\text{w}^{*}$$ s × w ∗ -convergence of bounded nets for convex sets and functions on $$X\\times X^{*}$$ X × X ∗ . We discuss their relevance to the study of monotone operators defined on possibly non-reflexive, real Banach spaces.

A new approach to the feasibility pump in mixed integer programming

Publisher: Society for Industrial & Applied Mathematics (SIAM)

Date: 2012

DOI: 10.1137/110823596

On the FPV Property, Monotone Operator Structure and the Monotone Polar of Representable Monotone Sets

Publisher: Springer Science and Business Media LLC

Date: 20-07-2021

DOI: 10.1007/S11228-020-00549-X

Fundamental limitations on the time-domain shaping of response to a fixed input

Publisher: Institute of Electrical and Electronics Engineers (IEEE)

Date: 07-2002

DOI: 10.1109/TAC.2002.800645

A sufficient optimality condition for nonregular problems via a nonlinear Lagrangian

Publisher: American Institute of Mathematical Sciences (AIMS)

Date: 05-2012

DOI: 10.3934/NACO.2012.2.301

Maximal Abstract Monotonicity and Generalized Fenchel’s Conjugation Formulas

Publisher: Springer Science and Business Media LLC

Date: 11-11-2009

DOI: 10.1007/S11228-009-0124-1

Maximal quasimonotonicity and dense single-directional properties of quasimonotone operators

Publisher: Springer Science and Business Media LLC

Date: 06-2013

DOI: 10.1007/S10107-013-0658-8

Fixed-Time Gradient Dynamics With Time-Varying Coefficients for Continuous-Time Optimization

Publisher: Institute of Electrical and Electronics Engineers (IEEE)

Date: 2022

DOI: 10.1109/TAC.2022.3206251

University Of Adelaide

Location: Australia

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RMIT University

Location: Australia

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Construction Of Utility Functions From Observations Of Consumer Behaviour With Application To Resource Modelling And Water Management Strategies

Start Date: 2006

End Date: 2010

Funder: Australian Research Council

A Comparative Study Of Generalised Solution Concepts For Elliptic Partial Differential Equations Using Nonsmooth Analysis Techniques

Start Date: 2004

End Date: 2007

Funder: Australian Research Council

New Theory And Algorithms For Nonsmooth Optimisation With Application To Integer Programming

Start Date: 2009

End Date: 2012

Funder: Australian Research Council

Switching Dynamics Approach For Distributed Global Optimisation

Start Date: 2020

End Date: 2023

Funder: Australian Research Council

Mathematics For Government, Industry And Community -- The *Magic* Network

Start Date: 2003

End Date: 2003

Funder: Australian Research Council

Discovery Projects - Grant ID: DP200101197

Start Date: 05-2020

End Date: 12-2024

Amount: $420,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP0664423

Start Date: 2006

End Date: 01-2010

Amount: $90,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP120100567

Start Date: 05-2012

End Date: 08-2016

Amount: $390,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP0987445

Start Date: 02-2009

End Date: 11-2012

Amount: $249,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP140100985

Start Date: 03-2014

End Date: 12-2019

Amount: $468,608.00

Funder: Australian Research Council

Special Research Initiatives - Grant ID: SR0354727

Start Date: 2003

End Date: 12-2003

Amount: $20,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP0451168

Start Date: 2004

End Date: 12-2007

Amount: $150,000.00

Funder: Australian Research Council