5,296 research outputs found
Genetic learning particle swarm optimization
Social learning in particle swarm optimization (PSO) helps collective efficiency, whereas individual reproduction in genetic algorithm (GA) facilitates global effectiveness. This observation recently leads to hybridizing PSO with GA for performance enhancement. However, existing work uses a mechanistic parallel superposition and research has shown that construction of superior exemplars in PSO is more effective. Hence, this paper first develops a new framework so as to organically hybridize PSO with another optimization technique for “learning.” This leads to a generalized “learning PSO” paradigm, the *L-PSO. The paradigm is composed of two cascading layers, the first for exemplar generation and the second for particle updates as per a normal PSO algorithm. Using genetic evolution to breed promising exemplars for PSO, a specific novel *L-PSO algorithm is proposed in the paper, termed genetic learning PSO (GL-PSO). In particular, genetic operators are used to generate exemplars from which particles learn and, in turn, historical search information of particles provides guidance to the evolution of the exemplars. By performing crossover, mutation, and selection on the historical information of particles, the constructed exemplars are not only well diversified, but also high qualified. Under such guidance, the global search ability and search efficiency of PSO are both enhanced. The proposed GL-PSO is tested on 42 benchmark functions widely adopted in the literature. Experimental results verify the effectiveness, efficiency, robustness, and scalability of the GL-PSO
Constructing the general partial waves and renormalization in EFT
We construct the general partial wave amplitude basis for the
scattering, which consists of Poincar\'e Clebsch-Gordan coefficients, with
Lorentz invariant forms given in terms of spinor-helicity variables. The inner
product of the Clebsch-Gordan coefficients is defined, which converts on-shell
phase space integration into an algebraic problem. We also develop the
technique of partial wave expansions of arbitrary amplitudes, including those
with infrared divergence. These are applied to the computation of anomalous
dimension matrix for general effective operators, where unitarity cuts for the
loop amplitudes, with an arbitrary number of external particles, are obtained
via partial wave expansion.Comment: 6 pages, 1 figure, 1 tabl
- …