Sentence examples for by using nonlinear mapping from inspiring English sources

The transformation is achieved by using nonlinear mapping functions which are generally referred to as kernel functions.

Being aware that in several application domains, SVM have been shown to outperform competing techniques by using nonlinear kernels, which implicitly map the instances to very high (even infinite) dimensional spaces, we used polynomials kernels with degrees 1, 2, and 3. Multilayered Perceptron is a feed-forward artificial neural network model [ 37].

The existence of solutions for problem (3.10) was investigated for convex as well as nonconvex valued maps by using nonlinear alternative of Leray-Schauder type and a fixed point theorem for contraction multivalued maps due to Covitz and Nadler, respectively.

A disease risk map was generated by using nonlinear discriminant analysis available in eRiskMapper version 1.1.4 (www.tala.ox.ac.uk) and is described in detail in the online Technical Appendix.

This limitation could be addressed by using nonlinear cost functions.

Kinetic parameters were obtained by using nonlinear regression.

The kinetic parameters were refined by using nonlinear regression.

Statistical analyses of the resulting tumor data were performed by using nonlinear Poisson and probit models.

The data were analyzed by globally fitting using nonlinear least-squares (IGOR Pro Wavemetrics).

These methods transform input space to other higher or even infinite dimensional inner product space, using nonlinear operators, which is performed by a kernel mapping function.

However, no significant improvement is obtained using nonlinear terms represented by a multivariable functional approach (p<0.2).