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We address the existence of non-trivial closed invariant subspaces of operators $T$ on Banach spaces whenever their square $T^2$ have or, more generally, whether there exists a polynomial $p$ with $\mbox{deg}(p)\geq 2$ such that the lattice of invari
Externí odkaz:
http://arxiv.org/abs/2409.01167
We study and classify $SU(5)$-GUT completions of accidental composite dark matter models. These theories postulate new vectorlike confining dark color dynamics and give an accidentally stable baryonic dark matter candidate. In realistic theories, dar
Externí odkaz:
http://arxiv.org/abs/2407.20591
The increasing interest in developing Artificial Intelligence applications in the medical domain, suffers from the lack of high-quality dataset, mainly due to privacy-related issues. Moreover, the recent rising of Multimodal Large Language Models (ML
Externí odkaz:
http://arxiv.org/abs/2407.02994
In [1] we pointed out that in the Dark Dimension scenario [2] theoretical issues arise when the prediction for the vacuum energy $\rho$, that is obtained from swampland conjectures in string theory, is confronted with the corresponding result for $\r
Externí odkaz:
http://arxiv.org/abs/2404.10068
Our recent works revisit the proof of chiral symmetry breaking in the confining phase of four-dimensional QCD-like theories, i.e. $SU(N_c)$ gauge theories with $N_f$ flavors of vectorlike quarks in the fundamental representation. The analysis relies
Externí odkaz:
http://arxiv.org/abs/2404.02971
We demonstrate that chiral symmetry breaking occurs in the confining phase of QCD-like theories with $N_c$ colors and $N_f$ flavors. Our proof is based on a novel strategy, called `downlifting', by which solutions of the 't Hooft anomaly matching and
Externí odkaz:
http://arxiv.org/abs/2404.02967
Autor:
Contino, Maximiliano
Three approximation problems in Krein spaces are studied, namely the indefinite weighted least squares problem and the related problems of indefinite abstract splines and smoothing. In every case, we analyze if the problem has a solution for every po
Externí odkaz:
http://arxiv.org/abs/2402.17552
Background: Graph Neural Networks (GNN) have emerged in very recent years as a powerful tool for supporting in silico Virtual Screening. In this work we present a GNN which uses Graph Convolutional architectures to achieve very accurate multi-target
Externí odkaz:
http://arxiv.org/abs/2402.01744
Publikováno v:
Computer Methods and Programs in Biomedicine, Volume 248, 2024
Background and Objective: In recent years, Artificial Intelligence (AI) and in particular Deep Neural Networks (DNN) became a relevant research topic in biomedical image segmentation due to the availability of more and more data sets along with the e
Externí odkaz:
http://arxiv.org/abs/2311.16163
Autor:
Gupta, Harsh, Venturi, Giacomo, Contino, Tatiana, Janzen, Eli, Edgar, James H., de Angelis, Francesco, Toma, Andrea, Ambrosio, Antonio, Tamagnone, Michele
Bound states in the continuum (BICs) garnered significant for their potential to create new types of nanophotonic devices. Most prior demonstrations were based on arrays of dielectric resonators, which cannot be miniaturized beyond the diffraction li
Externí odkaz:
http://arxiv.org/abs/2309.12281