ACM Transactions on Graphics (TOG), ISSN 0730-0301, 07/2009, Volume 28, Issue 3, pp. 1 - 10

.... Both steps of the algorithm (cross field and parametrization) can be formulated as a mixed-integer problem which we solve very efficiently by an adaptive greedy solver. We show several complex examples where high quality quad meshes are generated in a fully automatic manner.

quadrangulation | parametrization | remeshing | mixed-integer | direction field | singularities | Parametrization | Remeshing | Direction field | Mixed-integer | Singularities | Quadrangulation

quadrangulation | parametrization | remeshing | mixed-integer | direction field | singularities | Parametrization | Remeshing | Direction field | Mixed-integer | Singularities | Quadrangulation

Journal Article

Mathematical programming, ISSN 0025-5610, 11/2018, Volume 172, Issue 1, pp. 351 - 369

Representability results for mixed-integer linear systems play a fundamental role in optimization since they give geometric characterizations of the feasible sets that can be formulated by mixed...

Theoretical, Mathematical and Computational Physics | Mathematics | Quadratic programming | 90C20 | 90C10 | Mathematical Methods in Physics | Ellipsoidal constraints | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Mixed-integer programming | 90C11 | Representability | Combinatorics | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Linear systems | Integer programming | Linear programming

Theoretical, Mathematical and Computational Physics | Mathematics | Quadratic programming | 90C20 | 90C10 | Mathematical Methods in Physics | Ellipsoidal constraints | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Mixed-integer programming | 90C11 | Representability | Combinatorics | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Linear systems | Integer programming | Linear programming

Journal Article

ACM Transactions on Graphics (TOG), ISSN 0730-0301, 07/2013, Volume 32, Issue 4, pp. 1 - 12

.... In this paper we propose a novel convex Mixed-Integer Quadratic Programming (MIQP) formulation which ensures by construction that the resulting map is within the class of so called Integer-Grid Maps that are guaranteed to imply...

quadrangulation | mixed-integer optimization | parametrization | remeshing | Parametrization | Remeshing | Mixedinteger optimization | Quadrangulation | Computer Science, Software Engineering | Technology | Computer Science | Science & Technology | Algorithms | Formulations | Maps | Searching | Quadrilaterals | Mesh generation | Complexity | Computational Geometry

quadrangulation | mixed-integer optimization | parametrization | remeshing | Parametrization | Remeshing | Mixedinteger optimization | Quadrangulation | Computer Science, Software Engineering | Technology | Computer Science | Science & Technology | Algorithms | Formulations | Maps | Searching | Quadrilaterals | Mesh generation | Complexity | Computational Geometry

Journal Article

Journal of magnetism and magnetic materials, ISSN 0304-8853, 01/2017, Volume 421, pp. 76 - 81

In this paper, we study the magnetic properties of ferrimagnetic mixed spins with integer σ...

Monte Carlo simulations | Ferrimagnetic | Mixed spins | Critical temperature | Hysteresis cycle | Blume–Capel model | Physical Sciences | Materials Science | Technology | Materials Science, Multidisciplinary | Physics, Condensed Matter | Physics | Science & Technology | Monte Carlo method | Magnetization | Analysis | Magnetic hysteresis | Models | Magnetism | Magnetic fields | Magnetic properties

Monte Carlo simulations | Ferrimagnetic | Mixed spins | Critical temperature | Hysteresis cycle | Blume–Capel model | Physical Sciences | Materials Science | Technology | Materials Science, Multidisciplinary | Physics, Condensed Matter | Physics | Science & Technology | Monte Carlo method | Magnetization | Analysis | Magnetic hysteresis | Models | Magnetism | Magnetic fields | Magnetic properties

Journal Article

Journal of global optimization, ISSN 1573-2916, 03/2012, Volume 57, Issue 1, pp. 3 - 50

This paper introduces the global mixed-integer quadratic optimizer, GloMIQO, a numerical solver addressing mixed-integer quadratically-constrained quadratic programs to
$${\varepsilon}$$
-global optimality...

Mixed-integer quadratically-constrained quadratic programs | Branch-and-bound global optimization | Operations Research/Decision Theory | Numerical optimization software | Mathematical programming reformulations | Computer Science, general | Optimization | Economics / Management Science | Real Functions | Studies | Integer programming | Optimization techniques | Engineering | Branch & bound algorithms | Algorithms

Mixed-integer quadratically-constrained quadratic programs | Branch-and-bound global optimization | Operations Research/Decision Theory | Numerical optimization software | Mathematical programming reformulations | Computer Science, general | Optimization | Economics / Management Science | Real Functions | Studies | Integer programming | Optimization techniques | Engineering | Branch & bound algorithms | Algorithms

Journal Article

Computers & chemical engineering, ISSN 0098-1354, 01/2015, Volume 72, pp. 387 - 394

The mixed integer polynomial programming problem is reformulated as a multi-parametric programming problem by relaxing integer variables as continuous variables and then treating them as parameters...

Mixed integer programming | Multi-parametric programming | Polynomial programming | Nonlinear inversion | Engineering | Computer Science, Interdisciplinary Applications | Engineering, Chemical | Technology | Computer Science | Science & Technology | Integers | Mixed integer | Chemical engineering | Mathematical analysis | Programming | Mathematical models | Polynomials | Optimization

Mixed integer programming | Multi-parametric programming | Polynomial programming | Nonlinear inversion | Engineering | Computer Science, Interdisciplinary Applications | Engineering, Chemical | Technology | Computer Science | Science & Technology | Integers | Mixed integer | Chemical engineering | Mathematical analysis | Programming | Mathematical models | Polynomials | Optimization

Journal Article

Mathematical programming, ISSN 0025-5610, 6/2012, Volume 133, Issue 1, pp. 1 - 23

We extend recent work on nonlinear optimal control problems with integer restrictions on some of the control functions...

Theoretical, Mathematical and Computational Physics | Mathematics | 34H05 | Mathematical Methods in Physics | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | 49J30 | Numerical Analysis | Optimal control | Mixed-integer programming | 90C11 | Hybrid systems | Combinatorics | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Integer programming | Studies | Control theory | Mathematical analysis | Approximations | Integers | Theorems | Approximation | Discretization | Nonlinearity | Mathematical models

Theoretical, Mathematical and Computational Physics | Mathematics | 34H05 | Mathematical Methods in Physics | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | 49J30 | Numerical Analysis | Optimal control | Mixed-integer programming | 90C11 | Hybrid systems | Combinatorics | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Integer programming | Studies | Control theory | Mathematical analysis | Approximations | Integers | Theorems | Approximation | Discretization | Nonlinearity | Mathematical models

Journal Article

Pattern recognition, ISSN 0031-3203, 03/2016, Volume 51, pp. 481 - 491

.... This paper proposes two Mixed Integer Linear Programming (MILP) approaches to generate configurable square-based fiducial marker dictionaries maximizing their inter-marker distance...

Computer vision | Fiducial markers | MILP | Mixed Integer Linear Programming | Augmented reality | Engineering, Electrical & Electronic | Engineering | Computer Science, Artificial Intelligence | Technology | Computer Science | Science & Technology | Encyclopedias and dictionaries | Machine vision | Numerical analysis

Computer vision | Fiducial markers | MILP | Mixed Integer Linear Programming | Augmented reality | Engineering, Electrical & Electronic | Engineering | Computer Science, Artificial Intelligence | Technology | Computer Science | Science & Technology | Encyclopedias and dictionaries | Machine vision | Numerical analysis

Journal Article

European journal of operational research, ISSN 0377-2217, 12/2018, Volume 271, Issue 2, pp. 490 - 500

....•We introduce a mixed-integer linear programming reformulation.•Our reformulation can be solved by existing off-the-shelf solvers...

Binary search | Mixed integer programming | (s, S) policy | Stochastic lot-sizing | Inventory | Business & Economics | Operations Research & Management Science | Social Sciences | Management | Technology | Science & Technology | Decision-making | Linear programming | Usage | Mathematical optimization | Analysis | Mathematics - Optimization and Control

Binary search | Mixed integer programming | (s, S) policy | Stochastic lot-sizing | Inventory | Business & Economics | Operations Research & Management Science | Social Sciences | Management | Technology | Science & Technology | Decision-making | Linear programming | Usage | Mathematical optimization | Analysis | Mathematics - Optimization and Control

Journal Article

Mathematical programming, ISSN 1436-4646, 03/2014, Volume 149, Issue 1-2, pp. 391 - 424

Dantzig–Wolfe decomposition (or reformulation) is well-known to provide strong dual bounds for specially structured mixed integer programs (MIPs...

Matrix re-ordering | 65K05 | Theoretical, Mathematical and Computational Physics | Block-diagonal matrix | Automatic reformulation | Mathematics | Mathematical Methods in Physics | Column generation | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Dantzig–Wolfe decomposition | Hypergraph partitioning | Numerical Analysis | 90C11 | 49M27 | Combinatorics | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Management science | Integer programming | Studies | Analysis | Mixed integer | Construction | State of the art | Communities | Mathematical analysis | Solvers | Tools | Decomposition | Estimates

Matrix re-ordering | 65K05 | Theoretical, Mathematical and Computational Physics | Block-diagonal matrix | Automatic reformulation | Mathematics | Mathematical Methods in Physics | Column generation | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Dantzig–Wolfe decomposition | Hypergraph partitioning | Numerical Analysis | 90C11 | 49M27 | Combinatorics | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Management science | Integer programming | Studies | Analysis | Mixed integer | Construction | State of the art | Communities | Mathematical analysis | Solvers | Tools | Decomposition | Estimates

Journal Article

11.
Full Text
Mixed integer reformulations of integer programs and the affine TU-dimension of a matrix

Mathematical programming, ISSN 1436-4646, 04/2017, Volume 169, Issue 2, pp. 565 - 584

We study the reformulation of integer linear programs by means of a mixed integer linear program with fewer integer variables...

Integer programming | Mathematical Methods in Physics | 90C10 Integer programming | Master knapsack problem | Total unimodularity | 90C11 Mixed integer programming | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | Combinatorics | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Management science | Algorithms | Research institutes | Mixed integer | Mathematical analysis | Linear programming | Hulls (structures) | Hulls | Matrix methods

Integer programming | Mathematical Methods in Physics | 90C10 Integer programming | Master knapsack problem | Total unimodularity | 90C11 Mixed integer programming | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | Combinatorics | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Management science | Algorithms | Research institutes | Mixed integer | Mathematical analysis | Linear programming | Hulls (structures) | Hulls | Matrix methods

Journal Article

Chemie ingenieur technik, ISSN 0009-286X, 07/2014, Volume 86, Issue 7, pp. 991 - 1012

This work presents a review of the main deterministic mixed‐integer nonlinear programming (MINLP...

Mixed‐integer nonlinear programming | Generalized disjunctive programming | Nonlinear programming | Optimization | Mixed-integer nonlinear programming | Engineering | Engineering, Chemical | Technology | Science & Technology | Gross domestic product | Design engineering | Programming | Nonlinearity | Mathematical models | Scheduling | Representations

Mixed‐integer nonlinear programming | Generalized disjunctive programming | Nonlinear programming | Optimization | Mixed-integer nonlinear programming | Engineering | Engineering, Chemical | Technology | Science & Technology | Gross domestic product | Design engineering | Programming | Nonlinearity | Mathematical models | Scheduling | Representations

Journal Article