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pro vyhledávání: '"A, Oneto"'
The decomposition locus of a tensor is the set of rank-one tensors appearing in a minimal tensor-rank decomposition of the tensor. For tensors lying on the tangential variety of any Segre variety, but not on the variety itself, we show that the decom
Externí odkaz:
http://arxiv.org/abs/2407.18138
We prove that Segre-Veronese varieties are never secant defective if each degree is at least three. The proof is by induction on the number of factors, degree and dimension. As a corollary, we give an almost optimal non-defectivity result for Segre-V
Externí odkaz:
http://arxiv.org/abs/2406.20057
Autor:
Chen, Zhang, Demetrio, Luca, Gupta, Srishti, Feng, Xiaoyi, Xia, Zhaoqiang, Cinà, Antonio Emanuele, Pintor, Maura, Oneto, Luca, Demontis, Ambra, Biggio, Battista, Roli, Fabio
Thanks to their extensive capacity, over-parameterized neural networks exhibit superior predictive capabilities and generalization. However, having a large parameter space is considered one of the main suspects of the neural networks' vulnerability t
Externí odkaz:
http://arxiv.org/abs/2406.10090
Autor:
Fuster-López, A., Cruz, J. M., Guerrero-García, P., Hendrix, E. M. T., Košir, A., Nowak, I., Oneto, L., Sirmakessis, S., Pacheco, M. F., Fernandes, F. P., Pereira, A. I.
The use of e-learning systems has a long tradition, where students can study online helped by a system. In this context, the use of recommender systems is relatively new. In our research project, we investigated various ways to create a recommender s
Externí odkaz:
http://arxiv.org/abs/2406.10245
Autor:
Angioni, Daniele, Demetrio, Luca, Pintor, Maura, Oneto, Luca, Anguita, Davide, Biggio, Battista, Roli, Fabio
Machine-learning models demand for periodic updates to improve their average accuracy, exploiting novel architectures and additional data. However, a newly-updated model may commit mistakes that the previous model did not make. Such misclassification
Externí odkaz:
http://arxiv.org/abs/2402.17390
Publikováno v:
Journal de Math\'ematiques Pures et Appliqu\'ees 188, 2024, pp. 446-469
We define and explicitly construct schemes evinced by generalized additive decompositions (GADs) of a given $d$-homogeneous polynomial $F$. We employ GADs to investigate the regularity of $0$-dimensional schemes apolar to $F$, focusing on those satis
Externí odkaz:
http://arxiv.org/abs/2309.12961
A Hadamard-Hitchcock decomposition of a multidimensional array is a decomposition that expresses the latter as a Hadamard product of several tensor rank decompositions. Such decompositions can encode probability distributions that arise from statisti
Externí odkaz:
http://arxiv.org/abs/2308.06597
Autor:
Teles, Daniel, Oneto, Alyse D.
Publikováno v:
Cityscape, 2024 Jan 01. 26(2), 223-238.
Externí odkaz:
https://www.jstor.org/stable/48785821
Publikováno v:
Revista Trágica, Vol 17, Iss 2, Pp 76-95 (2024)
Ao longo de sua obra – sozinho ou em parceria com Félix Guattari –, Deleuze recorre à literatura para levantar problemas e propor novos conceitos. A proposta deste artigo é explicitar o uso que o filósofo faz da arte literária por meio de um
Externí odkaz:
https://doaj.org/article/4b0dafce6699411c8a4982d6d53f03bc
We prove the existence of ternary forms admitting apolar sets of points of cardinality equal to the Waring rank, but having different Hilbert function and different regularity. This is done exploiting liaison theory and Cayley-Bacharach properties fo
Externí odkaz:
http://arxiv.org/abs/2303.06780