Ultrametrics and p-adic Numbers

Rizzi, Alfredo

doi:10.1007/978-3-642-58250-9_26

Cited by 2 publications

(2 citation statements)

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“…The kernel method [12] provides an elegant way of dealing with such transformations. Consider a kernel function K. ; /, satisfying Mercer's theorem, that equals an inner product in the transformed higher dimensional feature space [65], i.e.,…”

Section: Kernel Support Vector Machinesmentioning

confidence: 99%

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Clusters, Orders, and Trees: Methods and Applications

Aleskerov¹,

Goldengorin²,

Pardalos³

2014

Springer Optimization and Its Applications

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Aims and ScopeOptimization has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time, one of the most striking trends in optimization is the constantly increasing emphasis on the interdisciplinary nature of the field. Optimization has been a basic tool in all areas of applied mathematics, engineering, medicine, economics, and other sciences.The series Springer Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository work that focus on algorithms for solving optimization problems and also study applications involving such problems. Some of the topics covered include nonlinear optimization (convex and nonconvex), network flow problems, stochastic optimization, optimal control, discrete optimization, multi-objective programming, description of software packages, approximation techniques and heuristic approaches.

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Section: Kernel Support Vector Machinesmentioning

confidence: 99%

“…Rizzi [65] considered ultrametrics and ultramines (i.e. an analogous topology for similarities as opposed to dissimilarities, both of which satisfy the strong triangular inequality).…”

Section: P-adic Numbers and Their Importancementioning

confidence: 99%