A more flexible neural network (NN) method using the fundamental invariants (FIs) as the
input vector is proposed in the construction of potential energy surfaces for molecular …

We investigate the representation of multivariate symmetric polynomials as sum of squares,
as well as the effective computation of this decomposition. Since this task is solved using …

Fibre reinforced composite materials are showing sustained growth in an ever widening
range of applications from food trays to spacecraft as well as contributing to resolving …

1 3 Werner M.Seiler Page 1 1 3 algorithms and computation in mathematics 24 Involution
The Formal Theory of Differential Equations and its Applications in Computer Algebra Werner …

This paper surveys and develops links between polynomial invariants of finite groups,
factorization theory of Krull domains, and product-one sequences over finite groups. The …

It is often necessary to identify a pattern of observed craters in a single image of the lunar
surface and without any prior knowledge of the camera's location. This so-called “lost-in …

We introduce a free and open-source software package (PES-Learn) which largely
automates the process of producing high-quality machine learning models of molecular …

One way to characterize configurations of points up to congruence is by considering the
distribution of all mutual distances between points. This paper deals with the question if …

We introduce equivariant tree models in algebraic statistics, which unify and generalise
existing tree models such as the general Markov model, the strand symmetric model, and …

It is shown that black-box derandomization of polynomial identity testing (PIT) is essentially
equivalent to derandomization of Noether's Normalization Lemma for explicit algebraic …