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9 papers · 1 filter
Quantum Geometry of 3-Dimensional Lattices and Tetrahedron Equation
Vladimir V. Bazhanov, Vladimir V. Mangazeev, Sergey M. Sergeev
We study geometric consistency relations between angles of 3-dimensional (3D) circular quadrilateral lattices -- lattices whose faces are planar quadrilaterals inscribable into a c…
Contact Geometry of Curves
Peter J. Vassiliou
Cartan's method of moving frames is briefly recalled in the context of immersed curves in the homogeneous space of a Lie group . The contact geometry of curves in low dimensiona…
Fundamental domains for congruence subgroups of SL2 in positive characteristic
Lisa Carbone, Leigh Cobbs, Scott H. Murray
In this work, we construct fundamental domains for congruence subgroups of and . Our method uses Gekeler's description of the fundamental domains on t…
Use of statistical outlier detection method in adaptive evolutionary algorithms
James M. Whitacre, Tuan Q. Pham, Ruhul A. Sarker
In this paper, the issue of adapting probabilities for Evolutionary Algorithm (EA) search operators is revisited. A framework is devised for distinguishing between measurements of…
Credit Assignment in Adaptive Evolutionary Algorithms
James M. Whitacre, Tuan Q. Pham, Ruhul A. Sarker
In this paper, a new method for assigning credit to search operators is presented. Starting with the principle of optimizing search bias, search operators are selected based on an…
Computational Scenario-based Capability Planning
Hussein Abbass, Axel Bender, Helen Dam +3
Scenarios are pen-pictures of plausible futures, used for strategic planning. The aim of this investigation is to expand the horizon of scenario-based planning through computationa…