Crystal structure and mechanistic studies of the PPM1D serine/threonine phosphatase catalytic domain

Uncertainty quantification in autoencoders predictions: Applications in aerodynamics

An ECG-based machine-learning approach for mortality risk assessment in a large European population

Beyond the distance between juridic and scientific decision-making process: an evidence-based prediction algorithm for professional liability assessment in healthcare-associated infections.

The prognostic role of iron deficiency in acute ischemic stroke patients: A prospective multicentric cohort study

Cardiac 31P MRSI at 7T with a Transmit/receive Dipole Array

On the degree of varieties of sum of squares

We study the problem of how many different sums of squares decompositions ageneral polynomial $f$ with SOS-rank $k$ admits. We show that there is a linkbetween the variety $\mathrm{SOS}_k(f)$ of all SOS-decompositions of $f$ andthe orthogonal group $\mathrm{O}(k)$. We exploit this connection to obtain thedimension of $\mathrm{SOS}_k(f)$ and show that its degree is bounded from belowby the degree of $\mathrm{O}(k)$. In particular, for $k=2$ we show that$\mathrm{SOS}_2(f)$ is isomorphic to $\mathrm{O}(2)$ and hence the degree boundbecomes an equality. Moreover, we compute the dimension of the space ofpolynomials of SOS-rank $k$ and obtain the degree in the special case $k=2$.

A Comparison of Different Approaches in BTK Revascularization

Common genetic variants associated with risk of Parkinson’s disease in non-European populations: A PROSPERO registered systematic review based on genome-wide association studies

3D modeling of the stratigraphic and structural architecture of the Crotone basin (southern Italy) using machine learning with Python