A robustification approach in unconstrained quadratic optimization [PDF]
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Martin K. Bernauer, Roland Griesse
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Variable Reduction For Quadratic Unconstrained Binary Optimization
Quadratic Unconstrained Binary Optimization models are useful for solving a diverse range of optimization problems. Constraints can be added by incorporating quadratic penalty terms into the objective, often with the introduction of slack variables needed for conversion of inequalities. This transformation can lead to a significant increase in the size
Amit Verma, Mark W. Lewis
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Grover Adaptive Search for Constrained Polynomial Binary Optimization [PDF]
In this paper we discuss Grover Adaptive Search (GAS) for Constrained Polynomial Binary Optimization (CPBO) problems, and in particular, Quadratic Unconstrained Binary Optimization (QUBO) problems, as a special case.
Austin Gilliam +2 more
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Optimization of the power consumption mode of pumping stations of “Suv Okova” by reactive power [PDF]
The optimal modes of the existing compensating devices under operating conditions were determined. Minimum power and energy losses were taken as optimality criteria.
Muzafarov Shavkat +4 more
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Performance Comparison of Typical Binary-Integer Encodings in an Ising Machine
The differences in performance among binary-integer encodings in an Ising machine, which can solve combinatorial optimization problems, are investigated.
Kensuke Tamura +4 more
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Parity Quantum Optimization: Compiler [PDF]
We introduce parity quantum optimization with the aim of solving optimization problems consisting of arbitrary $k$-body interactions and side conditions using planar quantum chip architectures.
Kilian Ender +4 more
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Routing and Wavelength Assignment with Protection: A Quadratic Unconstrained Binary Optimization Approach Enabled by Digital Annealer Technology [PDF]
The instances and codes used in the study titled "Routing and Wavelength Assignment with Protection: A Quadratic Unconstrained Binary Optimization Approach Enabled by Digital Annealer ...
Şeker, Oylum +2 more
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HUBO formulations for solving the eigenvalue problem
Solving the eigenvalue problem is particularly important in almost all fields of science and engineering. With the development of quantum computers, multiple algorithms have been proposed for this purpose.
Kyungtaek Jun, Hyunju Lee
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Computational Complexity of Quadratic Unconstrained Binary Optimization
In this paper, we study the computational complexity of the quadratic unconstrained binary optimization (QUBO) problem under the functional problem FP^NP categorization. We focus on four sub-classes: (1) When all coefficients are integers QUBO is FP^NP-complete.
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UOBYQA: unconstrained optimization by quadratic approximation [PDF]
A new algorithm for general unconstrained optimization calculations is described. It takes account of the curvature of the objective function by forming quadratic models by interpolation. Obviously, no first derivatives are required. A typical iteration of the algorithm generates a new vector of variables either by minimizing the quadratic model ...
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