Sentence examples for generalized p-norm from inspiring English sources

This allows a generalized p-norm.

In this pa- per we introduce two new types of generalized maxout units, which we call p-norm and soft-maxout.

The middle row starts with a contour made up of an ℓ p ball with a p=0.3 and a copy of that rotated by π/4, the rotation done by using a generalized ℓ p norm with A a rotation matrix.

We propose a modified P-norm correction method to overcome the limitation of conventional P-norm methods by employing the lower bound P-norm stress curve.

where ||·|| p denotes the p-norm.

For 1 ≤ p < ∝, the Schatten p-norm is defined as.

The tracking performances were analyzed in the form of the Lebesgue-p norm by the technique of the generalized Young inequality of the convolution integral and fractional integration by parts.

A class of generalized fitting methods has been considered by Livadiotis (2007), using the metric induced by the p-norms L p, p ≥ 1, that denotes a complete normalized vector space with finite Lebesgue integral.

By introducing the Lebesgue-p norm and using the method of fractional integration by parts and the generalized Young inequality of convolution integral, the tracking performances with respect to the initial state shift under the proposed algorithms are analyzed.

Examples of norms in AN 2 are ℓ p norms.

where ∥ ⋅ ∥ p denotes the standard L p norm.