Sentence examples for function manifold from inspiring English sources

Thus, this analysis gives a more realistic impression of the objective function manifold as a function of parameter values.

The approach allows for a more exhaustive and efficient exploration of the objective function manifold to find good parameter fits.

However, for highly non-linear models, such as the ODEs described above, the RMSE-based objective function manifold in the multi-parameter space is rife with a large number of local minima and therefore not suitable for parameter estimation.

Based on these observations, we hypothesize that the objective function manifold that uses a combination of RMSE and constraints gets rid of various local minima that correspond to physically meaningless parameter estimates and thus facilitates a much more efficient estimation of parameter values.

Through a range of laboratory experiments, we visualize the plasmodial cytoskeleton a ubiquitous cellular protein scaffold whose functions are manifold and essential to life and discuss its putative role as a network for transducing, transmitting and structuring data streams within the plasmodium.

Assume that is a special exhaustion function of the manifold and is a nonnegative growth function on the manifold, which is a subsolution of (3.4) with the structure conditions (3.2), (3.3) and the structure constants,,.

Since the key point in the proof of Theorem 3.2.1 is the center manifold function, we introduce an approximation formula of the center manifold function derived in [16].

Apollo, byname Phoebus, in Greek religion, a deity of manifold function and meaning, after Zeus perhaps the most widely revered and influential of all the Greek gods.

And an approximate minimizer of the objective function in this manifold is then determined by a pattern search method.

Apollo, byname Phoebus, in Greco-Roman mythology, a deity of manifold function and meaning, one of the most widely revered and influential of all the ancient Greek and Roman gods.

The identification of the critical growth is a crucial step in our analysis, and entails the use of the isocapacitary function of the manifold.