Sentence examples for manifold extension from inspiring English sources

We see it as an additional cost in terms of an event, but it generates a good return because of the manifold extension of the audience we can reach.

We apply the Gauss-Newton step [9] as well as our manifold extension of Newton's method to optimize the objective function.

In this section, we introduce a mean value inequality for Cartan-Hadamard manifold which is an extension of the result proved by Antczak [17] and Barani and Pouryayevali [12].

A more comprehensive extension of MSM is the Manifold to Manifold Distance (MMD) proposed in [59].

This method uses a manifold alignment based approach and is an extension from their previous framework [43].

The first is that the immediate objects of sight are two-dimensional manifolds of light and color, lacking perceptible extension in depth.

The similar outcome of the manifold PPCA and PLDA, which employ different extensions for the optimization problem, indicates that the achieved result may have approximated to the performance limit of the dataset using the probabilistic framework.

Indeed, the almost 150 year old concept of classical nucleation theory only requires small extensions to account for the manifold of nucleation and prenucleation phenomena known today.

These families share similar characteristics and are shown to be an extension of a transfer that utilizes a stable invariant manifold.

As is well-known, this extension of does not require the orientability of the underlying manifold, and is therefore different from the classical extension of for maps acting between oriented differentiable manifolds.

Most recently, the authors have solved the (L^2) extension problem for (bar{partial } -closed forms on a Stein manifold.