Sentence examples for foundations of the algorithm from inspiring English sources

In[14], we presented a "proof-of-concept" of IPA, laying down the theoretical foundations of the algorithm and applying it to a toy dataset of manually generated data.

The foundations of the algorithm can be written as follows.

The theoretical foundations of the algorithms are discussed in depth, and detailed empirical applications and numerical illustrations are provided.

Section 3 provides the mathematical foundations of the algorithms.

We provide the mathematical foundation of the algorithm based on distributed Lagrange multipliers, and show that it naturally connects with vortex methods through a vorticity source at the interface.

The solid foundation for the algorithm can be traced back to [ 25].

The following theorem paves the foundation of the simplified algorithm.

Two kinds of manifold decompositions are applied as the foundation of the proposed algorithm.

The mathematical foundations and the algorithm for the solution of mp-MIQPs are proposed.

Research at Cornell spans all areas of the theory of computing and is responsible for the development of modern computational complexity theory, the foundations of efficient graph algorithms, and the use of applied logic and formal verification for building reliable systems.

Incorporating these considerations into the signal model previously used for the analysis of the ITKM algorithms [29], we arrive at the following model, which will be a foundation for the development and justification of the algorithm and for a future theoretical analysis.