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- W4249834168 abstract "An important point is that one is supposed to work with a digital computer and that, consequently, every manipulated entity is discrete finite. Most theoretical analyses, especially for convergences, require continuity or even differentiability properties. Although the concepts of iterative optimization are supposedly known, it is necessary to partially redefine them, in order to then allow valid analyses, generally based on enumerations. An optimization problem is defined by a space of points, known as definition space or search space, valued by a function. Formally, it is a scalar field, but we are conventionally referring to a landscape and the role of an optimizer is to find optimal value point(s). Only the search for minima is considered here, as a specific case that can always be easily referred to. In order to unify descriptions, the definition space of a landscape can also be called a domain. Landscape basins and plateaus are also defined on subdomains." @default.
- W4249834168 created "2022-05-12" @default.
- W4249834168 date "2019-04-08" @default.
- W4249834168 modified "2023-10-18" @default.
- W4249834168 title "Some Definitions" @default.
- W4249834168 doi "https://doi.org/10.1002/9781119612476.ch1" @default.
- W4249834168 hasPublicationYear "2019" @default.
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