4 citations · 5 across the 5 of their papers we have counts for
6 papers
Probably correct row echelon form in the F4 algorithm
Alexander Demin
The computation of row echelon form is one of the main bottlenecks in the F4 algorithm. Several state of the art implementations use a probabilistic algorithm attributed to Monagan…
Observable functions of rational ODE models and how to find them
Alexander Demin, Gleb Pogudin, Christopher Rackauckas
Consider a parametric ODE control model. A function of the states and parameters is called observable if its value can in principle be reconstructed from input-output data. The obs…
Simple generators of rational function fields
Alexander Demin, Gleb Pogudin
Consider a subfield of the field of rational functions in several indeterminates. We present an algorithm that, given a set of generators of such a subfield, finds a simple generat…
Factoring sparse polynomials fast
Alexander Demin, Joris van der Hoeven
Consider a sparse polynomial in several variables given explicitly as a sum of non-zero terms with coefficients in an effective field. In this paper, we present several algorithms…
Progress in End-to-End Optimization of Detectors for Fundamental Physics with Differentiable Programming
Max Aehle, Lorenzo Arsini, R. Belén Barreiro +27
In this article we examine recent developments in the research area concerning the creation of end-to-end models for the complete optimization of measuring instruments. The models…
Groebner.jl: A package for Gröbner bases computations in Julia
Alexander Demin, Shashi Gowda
We present Groebner.jl, a Julia package for computing Groebner bases with the F4 algorithm. Groebner.jl is an efficient, portable, and open-source software. Groebner.jl works over…