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We prove a constructive fixed-point theorem for these functions, introduce a corresponding induction principle, and study the related convergence process.
SVM achieves higher generalization performance, as it utilizes an induction principle called structural risk minimization (SRM) principle.
We further classified clustering methods according to their "induction principle," a classification that does not use the way clusters are represented in the algorithm (the model), but rather looks at the optimization problem underlying the clustering algorithm56.
The proof uses the induction principle which is due to Kudla, and an argument involvingK-types and the space of joint harmonics (Howe).
Time-resolved measurements with sub-μs resolution of currents through the specimen were made with a Pearson probe current monitor using the induction principle.
The key ingredients entering this analysis include a hierarchy of exact algebraic cancelation identities exploiting the spatial and gauge symmetries of the model, and a combination of the isospectral renormalization group method with the strong induction principle.
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The first employs electromagnetic induction principles and the other is based on a linear inertial generator using a conventional second order spring mass damper system.
This paper motivates the need for proving properties of states in the situation calculus, proposes appropriate induction principles for this task, and gives examples of their use in databases and for reasoning about the physical world.
Park's formulation of fairmerge used nested greatest and least fixed points of monotone functions over traces, but he remarked that fixed point induction principles seem unsuitable for proving natural algebraic properties such as associativity.
SVR is different from conventional regression techniques, since it uses structural risk minimization (SRM), instead of empirical risk minimization (ERM) induction principles (Boser et al. 1992; Cristianini and Taylor 2000).
Such induction principles on Cantor's "second number class" are discussed in detail in Hilbert's 1925 lecture "Über das Unendliche" ("On the infinite", published 1926), a paper to which Gentzen referred.
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