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A discussion of scalarization techniques for multiple objective integer programming
Annals of Operations Research, 2006 In this paper we consider solution methods for multiobjective integer programming (MOIP) problems based on scalarization. We define the MOIP, discuss some common scalarizations, and provide a general formulation that encompasses most scalarizations that ...
Matthias Ehrgott
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A unified scheme for scalarization in set optimization
Optimization, 2023In this work, we propose a new scheme for scalarization in set optimization studied with the Kuroiwa set approach. First, we define an abstract scalarizing function possessing properties such as global Lipschizity, sublinearity, cone monotonicity, cone ...
T. Ha
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Multi-Objective Reinforcement Learning with Non-Linear Scalarization
Adaptive Agents and Multi-Agent Systems, 2022Multi-Objective Reinforcement Learning (MORL) setup naturally arises in many places where an agent optimizes multiple objectives. We consider the problem of MORL where multiple objectives are combined using a non-linear scalarization.
Mridul Agarwal, V. Aggarwal, Tian Lan
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Critical scalarization and descalarization of black holes in a generalized scalar-tensor theory
Science China Physics Mechanics and Astronomy, 2022We study the critical dynamics in scalarization and descalarization in the fully nonlinear dynamical evolution in the class of theories with a scalar field coupling with both Gauss-Bonnet (GB) invariant and Ricci scalar.
Yun-Qi Liu +5 more
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Digest of Papers. COMPCON Spring 89. Thirty-Fourth IEEE Computer Society International Conference: Intellectual Leverage, 2003
A description is given of the scalar supercomputer and of a particular implementation, the Prisma machine. The performance goal is a sustained rate of 150 million instructions per second, with matched memory size and I/O capabilities. The machine will be binary-compatible with other computers implementing the SPARC architecture. To obtain this level of
Philip Gerskovich, Pete Wilson
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A description is given of the scalar supercomputer and of a particular implementation, the Prisma machine. The performance goal is a sustained rate of 150 million instructions per second, with matched memory size and I/O capabilities. The machine will be binary-compatible with other computers implementing the SPARC architecture. To obtain this level of
Philip Gerskovich, Pete Wilson
openaire +2 more sources
Smooth Tchebycheff Scalarization for Multi-Objective Optimization
International Conference on Machine LearningMulti-objective optimization problems can be found in many real-world applications, where the objectives often conflict each other and cannot be optimized by a single solution.
Xi Lin +5 more
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Evolutionary Computation
Recently, computationally intensive multiobjective optimization problems have been efficiently solved by surrogate-assisted multiobjective evolutionary algorithms. However, most of those algorithms can only handle no more than 200 decision variables.
Hao-Ran Gu +4 more
semanticscholar +1 more source
Recently, computationally intensive multiobjective optimization problems have been efficiently solved by surrogate-assisted multiobjective evolutionary algorithms. However, most of those algorithms can only handle no more than 200 decision variables.
Hao-Ran Gu +4 more
semanticscholar +1 more source
Few for Many: Tchebycheff Set Scalarization for Many-Objective Optimization
International Conference on Learning RepresentationsMulti-objective optimization can be found in many real-world applications where some conflicting objectives can not be optimized by a single solution. Existing optimization methods often focus on finding a set of Pareto solutions with different optimal ...
Xi Lin +5 more
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Canadian Journal of Mathematics, 1983
The subject of this paper arises from the familiar process whereby an automorphism of a field generates new representations from old. One may think of that process spatially, as a change of vector space structure in the representation space by means of the automorphism.
Lebow, A., Schreiber, M.
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The subject of this paper arises from the familiar process whereby an automorphism of a field generates new representations from old. One may think of that process spatially, as a change of vector space structure in the representation space by means of the automorphism.
Lebow, A., Schreiber, M.
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American Journal of Physics, 1964
Nordström's scalar theory of gravitation is discussed from a modern point of view, and compared with some aspects of general relativity. We discuss the equations of motion for test masses, the field equations in the presence of matter, and the extent to which the principle of equivalence, Mach's principle, and the expansion of the universe are ...
Wellner, Marcel, Sandri, Guido
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Nordström's scalar theory of gravitation is discussed from a modern point of view, and compared with some aspects of general relativity. We discuss the equations of motion for test masses, the field equations in the presence of matter, and the extent to which the principle of equivalence, Mach's principle, and the expansion of the universe are ...
Wellner, Marcel, Sandri, Guido
openaire +2 more sources