In this paper, we show that this unexpected error source is the pollution effect of a summation operation in the objective function of the PCA algorithm. The summation operator brings together unrelated parts of the data into the same optimization and the result is the reduction of the accuracy...
On the other hand, it is much less known that Grbner bases, in combi... H Str,DB Wilmersdorf,W Koepf 被引量: 13发表: 1994年 Indefinite summation of rational functions with factorization of denominators the algorithm finds two rational functions , such that = ( + 1) () + and the ...
We provide an algorithm that combines tree methods with the Improved Fast Gauss Transform (IFGT). As originally proposed the IFGT suffers from two problems: (1) the Taylor series expansion does not perform well for very low bandwidths, and (2) parameter selection is not trivial and can ...
Grover, L.K.: A fast quantum mechanical algorithm for database search. In: Proceedings of the Twenty-Eighth Annual ACM Symposium on Theory of Computing. Proceedings of the Twenty-Eighth Annual ACM Symposium on Theory of Computing, pp. 212–219 (1996) Guo, F.Z., Gao, F., Qin, S.J....
An algorithm for computing minimal curves matrices are considerably large.The algorithms presented here have been partially implemented and tested in the computer algebra systems CoCoA, Maple and ... S Guarrera,A Logar,E Mezzetti - 《Archiv Der Mathematik》 被引量: 8发表: 1997年 A symbolic algor...
These modified algorithms are suitable for the use in interval- arithmetic. 2 Requirements on the used floating-point arithmetic Most analysis of floating point arithmetic can be done with the simple error bound x⊕y = (x +y)(1 +ε x,y ) where |ε x,y |≤ε and ε > 0 ...
∑ni=1P(i)H(k)i, where p(i) is a polynomial, and ∑ni=1 Hi/(i+m), where m is an integer, are given. A method to automate these results is presented. This is achieved by using Moenck’s algorithm and by exploiting the relationship between polygamma functions and harmonic numbers....
We build hidden node feature detectors by incorporating k-monotonicity checks in the partitioning step of a constructive algorithm. Propagation constraints are also used in an MLP network using gradient descent learning to limit hyperplane movement in weight space. Results for a pattern classification ...
To lessen clutter, error bars (determined by probit analysis) are plotted only when they exceed 3 dB. The average SE across conditions and panels was 1.1 dB. The curves in A, B, D and E are the best fits of the two-stage model, using the parameters from Meese et al. (2006), but...
With 𝑢=0u=0 in the Formula (9), we return to the Borel-transform, while, with 𝑢→∞u→∞, the Borel–Leroy summation is supposed to be equivalent to the summation of the original series (2) with chosen approximants. The latter statement does follow from the analysis of the Formul...