2006
DOI: 10.1007/11823940_17
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On the Use of Hyperspheres in Artificial Immune Systems as Antibody Recognition Regions

Abstract: Using hyperspheres as antibody recognition regions is an established abstraction which was initially proposed by theoretical immunologists for use in the modeling of antibody-antigen interactions. This abstraction is also employed in the development of many artificial immune system algorithms. Here, we show several undesirable properties of hyperspheres, especially when operating in high dimensions and discuss the problems of hyperspheres as recognition regions and how they have affected overall performance of… Show more

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Cited by 36 publications
(18 citation statements)
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“…The spherical case has already been discussed by Stibor et al in the context of negative selection algorithms [55]. The reason for our simplification is two-fold: firstly, in some respects the overall message is diluted by the mathematics of approximating the volume of a hyper-sphere and the particularly bizarre result that follows -as dimensionality increases, the volume of the hyper-sphere approaches zero.…”
Section: Theoretical Issuesmentioning
confidence: 97%
“…The spherical case has already been discussed by Stibor et al in the context of negative selection algorithms [55]. The reason for our simplification is two-fold: firstly, in some respects the overall message is diluted by the mathematics of approximating the volume of a hyper-sphere and the particularly bizarre result that follows -as dimensionality increases, the volume of the hyper-sphere approaches zero.…”
Section: Theoretical Issuesmentioning
confidence: 97%
“…Although the key concept of mapping immunological shape space to a vectorial representation of a data-set has driven much of successful AIS research, recent theoretical investigations have cast doubt on the tractability of the concept (see McEwan and Hart 2009;Stibor et al 2006). Instance-based methods rely on two key assumptions; that there are dense regions in the space that can be generalised, compressed or sparsely represented, and that the distance between points is a meaningful proxy for comparison, discrimination and localisation.…”
Section: Immune Swarms For Engineeringmentioning
confidence: 99%
“…Many previous works have been studied rs in detail [7] [15] [18], so in this work it is not discussed. According to Eq.12 this paper calculated the minimum distant (d min ) between self sample and nonself sample on Haberman's Survival Data Set and KDDCUP99.…”
Section: Parameters Setting (1)the Radius Of Self Sample (Rs)mentioning
confidence: 99%