Sentence examples for choice of norm from inspiring English sources
The great merit of this choice of norm is that the method is applicable to a wide variety of real physical problems because, even in complex circumstances, the total physical energy is conserved and each component of this energy is in limited supply.
Several choices of norm used in the cost function are studied and give way to different designs.
To validate the choice of this norm, we compare the optimal basis expansion predicted from the norm and the inverse tangent norm with the actual best basis in terms of reconstruction quality.
The choice of the norm is irrelevant here because we are in a finite-dimensional space.
It is shown that accurate and efficient bounds can be obtained, for a proper choice of operator norm, with as few as one or two terms in the Neumann expansion.
The preferred (alpha ^2) will not only depend on the choice of regularization norm, but also on the number of observations, since a change in the size of ({varvec{G}}) will result in a change in the weight between the two terms in the parenthesis of Eq. 5, and hence affect the choice in (alpha ^2).
Here, we also observe the significance of the choice of the norm in H − α ( D ) with α > d for establishing the convergence, which is essentially that it guarantees the existence a Sobolev space H α 1 ( D ) with continuous embeddings H α ( D ) ↪ H α 1 ( D ) ↪ C ( D ¯ ), where the first is of Hilbert Schmidt type.
The results show that the choice of social norms influences the accuracy of the agents' responses to varying environmental factors, as well as the effectiveness of social consciousness and other aspects of agents' utility functions.
The choice of vector norms in Eq. (2) has a significant impact on the outcome of the optimization.
More importantly, in a finite dimensional vector space, all continuous p-norms are equivalent [[45], p. 53], thus the choice of a specific norm is free.
This justifies our choice of the L1-norm log linear regression in PeakRegressor.
