Zobrazeno 1 - 10
of 3 607
pro vyhledávání: '"Riener A"'
Publikováno v:
i-com, Vol 22, Iss 1, Pp 1-2 (2023)
Externí odkaz:
https://doaj.org/article/c4a90e4140c74046b56b828185237480
We study nonnegative and sums of squares symmetric (and even symmetric) functions of fixed degree. We can think of these as limit cones of symmetric nonnegative polynomials and symmetric sums of squares of fixed degree as the number of variables goes
Externí odkaz:
http://arxiv.org/abs/2408.04616
Let $G$ be a finite group acting linearly on $\mathbb{R}^n$. A celebrated Theorem of Procesi and Schwarz gives an explicit description of the orbit space $\mathbb{R}^n /\!/G$ as a basic closed semi-algebraic set. We give a new proof of this statement
Externí odkaz:
http://arxiv.org/abs/2407.08339
Autor:
Bardi, Elena, Esser, Adrian, Wolf, Peter, Gandolla, Marta, Ambrosini, Emilia, Pedrocchi, Alessandra, Riener, Robert
Cable-driven exosuits have the potential to support individuals with motor disabilities across the continuum of care. When supporting a limb with a cable, force sensors are often used to measure tension. However, force sensors add cost, complexity, a
Externí odkaz:
http://arxiv.org/abs/2406.18412
Semi-algebraic set is a subset of the real space defined by polynomial equations and inequalities. In this paper, we consider the problem of deciding whether two given points in a semi-algebraic set are connected. We restrict to the case when all equ
Externí odkaz:
http://arxiv.org/abs/2404.09749
Univariate polynomials are called stable with respect to a circular region $\mathcal{A}$, if all of their roots are in $\mathcal{A}$. We consider the special case where $\mathcal{A}$ is a half-plane and investigate affine slices of the set of stable
Externí odkaz:
http://arxiv.org/abs/2402.05905
The equivariant nonnegativity versus sums of squares question has been solved for any infinite series of essential reflection groups but type A. As a first step to a classification, we analyse $A_n$-invariant quartics. We prove that the cones of inva
Externí odkaz:
http://arxiv.org/abs/2402.03722
In this paper we present a new semidefinite programming hierarchy for covering problems in compact metric spaces. Over the last years, these kind of hierarchies were developed primarily for geometric packing and for energy minimization problems; they
Externí odkaz:
http://arxiv.org/abs/2312.11267
The classes of sums of arithmetic-geometric exponentials (SAGE) and of sums of nonnegative circuit polynomials (SONC) provide nonnegativity certificates which are based on the inequality of the arithmetic and geometric means. We study the cones of sy
Externí odkaz:
http://arxiv.org/abs/2312.10500
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-13 (2024)
Abstract Developing machine learning (ML) methods for healthcare predictive modeling requires absolute explainability and transparency to build trust and accountability. Graphical models (GM) are key tools for this but face challenges like small samp
Externí odkaz:
https://doaj.org/article/bb610cb66ef442a1a76b093177e12549