5 papers
Validation methodology on real data of reversible Kalman Filter for state estimation with Manifold
Svyatoslav Covanov, Cedric Pradalier
This work extends a previous study that introduced an algorithm for state estimation on manifolds within the framework of the Kalman filter. Its objective is to address the limitat…
Reversible Kalman Filter for state estimation with Manifold
Svyatoslav Covanov, Cedric Pradalier
This work introduces an algorithm for state estimation on manifolds within the framework of the Kalman filter. Its primary objective is to provide a methodology enabling the evalua…
Improved method for finding optimal formulae for bilinear maps in a finite field
Svyatoslav Covanov
In 2012, Barbulescu, Detrey, Estibals and Zimmermann proposed a new framework to exhaustively search for optimal formulae for evaluating bilinear maps, such as Strassen or Karatsub…
Parallel Integer Polynomial Multiplication
Changbo Chen, Svyatoslav Covanov, Farnam Mansouri +3
We propose a new algorithm for multiplying dense polynomials with integer coefficients in a parallel fashion, targeting multi-core processor architectures. Complexity estimates and…
Fast integer multiplication using generalized Fermat primes
Svyatoslav Covanov, Emmanuel Thomé
For almost 35 years, Sch{ö}nhage-Strassen's algorithm has been the fastest algorithm known for multiplying integers, with a time complexity O(n log n log log n) f…