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pro vyhledávání: '"Rinelli P."'
In this paper we propose and analyze an algorithm for identifying spectral gaps of a real symmetric matrix $A$ by simultaneously approximating the traces of spectral projectors associated with multiple different spectral slices. Our method utilizes H
Externí odkaz:
http://arxiv.org/abs/2410.15349
This study evaluates two approaches applied to computed tomography (CT) images of patients with abdominal aortic aneurysm: one deterministic, based on tools of Approximation Theory, and one based on Artificial Intelligence. Both aim to segment the ba
Externí odkaz:
http://arxiv.org/abs/2406.01764
We consider the problem of estimating the trace of a matrix function $f(A)$. In certain situations, in particular if $f(A)$ cannot be well approximated by a low-rank matrix, combining probing methods based on graph colorings with stochastic trace est
Externí odkaz:
http://arxiv.org/abs/2308.07722
We consider the problem of approximating the von Neumann entropy of a large, sparse, symmetric positive semidefinite matrix $A$, defined as $\operatorname{tr}(f(A))$ where $f(x)=-x\log x$. After establishing some useful properties of this matrix func
Externí odkaz:
http://arxiv.org/abs/2212.09642
Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices
Autor:
Benzi, Michele, Rinelli, Michele
Spectral projectors of Hermitian matrices play a key role in many applications, and especially in electronic structure computations. Linear scaling methods for gapped systems are based on the fact that these special matrix functions are localized, wh
Externí odkaz:
http://arxiv.org/abs/2110.11833
Autor:
Alessandro Guidotti, Alessandro Vanelli-Coralli, Mohamed El Jaafari, Nicolas Chuberre, Jani Puttonen, Vincenzo Schena, Giuseppe Rinelli, Stefano Cioni
Publikováno v:
IEEE Access, Vol 12, Pp 55945-55963 (2024)
Today, the worldwide economy and society are already taking advantage of the first deployments of 5G networks. However, the challenges that will be posed by 2030 networks on the infrastructure, technologies, and performance requirements call for a fu
Externí odkaz:
https://doaj.org/article/574688267653481897a1fc2684ed22d8
Autor:
Chesta, Cristina, Rinelli, Luca
Applications in the smart industry domain, such as interaction with collaborative robots using vocal commands or machine vision systems often requires the deployment of deep learning algorithms on heterogeneous low power computing platforms. The avai
Externí odkaz:
http://arxiv.org/abs/2102.01349
Publikováno v:
International Journal of Cardiology Congenital Heart Disease, Vol 15, Iss , Pp 100496- (2024)
Externí odkaz:
https://doaj.org/article/b424089620de4c97a09bce978cd98a66
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