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Generalization

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Generalization is a foundational element of logic and human reasoning. Generalization posits the existence of a domain or set of elements, as well as one or more common characteristics shared by those elements. As such, it is the essential basis of all valid deductive inference. The process of verification is necessary to determine whether a generalization holds true for any given situation. The concept... Read enhanced Wikipedia article

Factz from Wikipedia: we found the following about generalization help

lead to :
groupoids, kind and algorithm.

generalization lead to groupoids

Groupoid Shows how generalisations of Galois theory lead to Galois groupoids.

Higher-dimensional algebra Galois theories, F. Borceux, G. Janelidze, CUP, 2001, shows how generalisations of Galois theory lead to Galois groupoids.

generalization lead to kind

Belief propagation This generalization leads to a new kind of algorithm called Survey Propagation (SP), which have proved to be very efficient in NP-complete problems like satisfiability and graph coloring.

generalization lead to algorithm

Belief propagation This generalization leads to a new kind of algorithm called Survey Propagation (SP), which have proved to be very efficient in NP-complete problems like satisfiability and graph coloring.

uses :
simple-connectivity, operators and functions.

generalization uses simple-connectivity

Poincaré conjecture The obvious generalization using simple-connectivity is false, but simply-connected, closed 3-manifolds are in fact the same class of spaces as homotopy 3-spheres.

generalization uses operators

Michael Atiyah In he found a proof of several generalizations using elliptic operators; this new proof used an idea that he used to give a particularly short and easy proof of Bott's original periodicity theorem.

generalization uses functions

Cuckoo hashing Generalizations of cuckoo hashing that use more than 2 alternative hash functions can be expected to utilize a larger part of the capacity of the hash table efficiently while sacrificing some lookup and insertion speed.

apply to :
imbue, manifolds and countries.

generalization apply to imbue

Personification The pathetic fallacy is the generalization of personification which applies to any description of inanimate objects or abstractions imbuing them with human-like traits.

generalization apply to manifolds

Michael Atiyah Atiyah proved a generalization of this that applies to all compact symplectic manifolds acted on by a torus, showing that the image of the manifold under the moment map is a convex polyhedron, and with Pressley gave a related generalization to infinite dimensional loop groups.

generalization apply to countries

Demographic transition The model is a generalization that applies to these countries as a group and may not accurately describe all individual cases.

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Wikipedia Articles: results 1 - 10 of 134882
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    Generalization

    Generalization is a foundational element of logic and human reasoning. Generalization posits the existence of a domain or set of elements, as well as one or more common characteristics shared by those elements.
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    Generalization (logic)

    Generalization is an inference rule of predicate calculus which states that: ... "Generalization" can be abbreviated as GEN.
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    Hasty generalization

    Believing conjectures to be true because they hold for some number of examples (however large that may be) would be an example of hasty generalization.
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    Cartographic generalization

    Automated generalization had always to compete with manual cartographers, therefore the manual generalization process was studied intensively.
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    Faulty generalization

    Faulty generalization is a mode of thinking that takes knowledge from one group's or person's experiences and incorrectly extends it to another.
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    Generalization error

    The generalization error of a machine learning model is a function that measures how far the student machine is from the teacher machine in average over the entire set of possible data that can be generated by the teacher after each iteration of the learning process.
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    Type generalization

    Type generalization refers to making more general or more abstract some subset of the traits of a specific type.
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    Universal law of generalization

    "Generalization" in this case is measured by means of confusion error, while the use of "distance" depends on the assumption that stimuli will be compared in some kind of psychological space (the latter being typical of Shepard's work).
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    Taste aversion

    Stimulus generalization is another learning phenomenon that can be illustrated by CTA.
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    Euler's theorem

    The theorem is a generalization of Fermat's little theorem, and is further generalized by Carmichael's theorem.

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Generalization