Robert Hildebrand

Orcid: 0000-0002-2730-0084

According to our database1, Robert Hildebrand authored at least 26 papers between 2010 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Complexity, exactness, and rationality in polynomial optimization.
Math. Program., February, 2023

2022
Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. VII. Inverse Semigroup Theory, Closures, Decomposition of Perturbations.
Open J. Math. Optim., March, 2022

Compact mixed-integer programming formulations in quadratic optimization.
J. Glob. Optim., 2022

An Autonomous Task Assignment Paradigm for Autonomous Robotic In-Space Assembly.
Frontiers Robotics AI, 2022

2020
A Flexible Job Shop Scheduling Representation of the Autonomous In-Space Assembly Task Assignment Problem.
CoRR, 2020

An approximate method for the optimization of long-Horizon tank blending and scheduling operations.
Comput. Chem. Eng., 2020

2019
On Perturbation Spaces of Minimal Valid Functions: Inverse Semigroup Theory and Equivariant Decomposition Theorem.
Proceedings of the Integer Programming and Combinatorial Optimization, 2019

2018
Sublinear Bounds for a Quantitative Doignon-Bell-Scarf Theorem.
SIAM J. Discret. Math., 2018

Binary extended formulations of polyhedral mixed-integer sets.
Math. Program., 2018

Minimal cut-generating functions are nearly extreme.
Math. Program., 2018

Mixed integer reformulations of integer programs and the affine TU-dimension of a matrix.
Math. Program., 2018

2017
Equivariant perturbation in Gomory and Johnson's infinite group problem - III: foundations for the k-dimensional case with applications to k=2.
Math. Program., 2017

Extension Complexity Lower Bounds for Mixed-Integer Extended Formulations.
Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms, 2017

2016
Minimizing Cubic and Homogeneous Polynomials over Integers in the Plane.
Math. Oper. Res., 2016

Light on the infinite group relaxation II: sufficient conditions for extremality, sequences, and algorithms.
4OR, 2016

Light on the infinite group relaxation I: foundations and taxonomy.
4OR, 2016

An FPTAS for Minimizing Indefinite Quadratic Forms over Integers in Polyhedra.
Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, 2016

2015
Note on the complexity of the mixed-integer hull of a polyhedron.
Oper. Res. Lett., 2015

Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. I. The One-Dimensional Case.
Math. Oper. Res., 2015

2014
The triangle closure is a polyhedron.
Math. Program., 2014

Light on the Infinite Group Relaxation.
CoRR, 2014

2013
A (k+1)-Slope Theorem for the k-Dimensional Infinite Group Relaxation.
SIAM J. Optim., 2013

A new Lenstra-type algorithm for quasiconvex polynomial integer minimization with complexity 2<sup>O(<i>n</i>log<i>n</i>)</sup>.
Discret. Optim., 2013

Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem: II. The Unimodular Two-Dimensional Case.
Proceedings of the Integer Programming and Combinatorial Optimization, 2013

2011
Algorithmic and Complexity Results for Cutting Planes Derived from Maximal Lattice-Free Convex Sets
CoRR, 2011

2010
A Faster Algorithm for Quasi-convex Integer Polynomial Optimization
CoRR, 2010


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