Sentence examples for compositional inverse from inspiring English sources

An involution is a permutation whose compositional inverse is itself.

Haiman and Schmitt showed that one can use the antipode SF of the colored Faà di Bruno Hopf algebra F to compute the (compositional) inverse of a multivariable formal power series.

where f ¯ ( t ) is compositional inverse of f ( t ) (see [11, 15]).

where f ¯ ( t ) is the compositional inverse of f ( t ) with f ¯ ( f ( t ) ) = t.

where f ¯ ( t ) is the compositional inverse of f ( t ) (see [7, 12]).

where f ¯ ( t ) is the compositional inverse of f ( t ) with f ¯ ( f ( t ) ) = t (see [10, 15]).

3. It shows that permutahedra and associahedra "know" how to compute the multiplicative and compositional inverses of power series.

These results also show that our algorithm achieves better performance than the inverse compositional algorithm for drift correction.

Additionally, a modified inverse compositional algorithm is proposed to reduce the computing time of the original algorithm and improve the efficiency further.

The minimization of the active drift correction term is achieved by the inverse compositional algorithm with a weighted L2 norm, which is incorporated into traditional affine image alignment (AIA) algorithm.

First, to eliminate the need of updating Hessian matrix in each iteration, an efficient 3D inverse compositional Gauss Newton (3D IC-GN) algorithm is introduced to replace existing forward additive algorithms for accurate sub-voxel displacement registration.