Výsledky vyhledávání - "[MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT]"

Images indexing and matched assessment of semantics and visuals similarities applied to a medical learning X-ray image base

Autor: Noureddine, Bourkache, Mourad, Laghrouche, Mourad, Lahdir, Sahbi, Sidhom

Publikováno v: Journal of X-Ray Science and Technology
Journal of X-Ray Science and Technology, 2022, Clinical applications of Diagnosis and Therapeutics, 30, 6 issues (30:4 online 26 August 2022), pp.1-21. ⟨10.3233/XST-221180⟩

International audience; BACKGROUND: Medical diagnostic support systems are important tools in the field of radiology. However, the precision obtained, during the exploitation of high homogeneity image datasets, needs to be improved. OBJECTIVE: To dev

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86bd0866ac6ac3a48bc322119ec41b44
https://doi.org/10.3233/xst-221180

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Clustering with respect to the information distance

Autor: Romashchenko, Andrei

Publikováno v: Theoretical Computer Science. 929:164-171

We discuss the notion of a dense cluster with respect to the information distance and prove that all such clusters have an extractable core that represents the mutual information shared by the objects in the cluster.
12 pages; 3 figures. A versi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2743c91ddd3a3a5befcb6c1f8b1542b4
https://doi.org/10.1016/j.tcs.2022.06.039

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Stealth Data Injection Attacks with Sparsity Constraints

Autor: Xiuzhen Ye, Inaki Esnaola, Samir M. Perlaza, Robert F. Harrison

Publikováno v: IEEE Transactions on Smart Grid
IEEE Transactions on Smart Grid, 2023, 14 (4), pp.3201--3209. ⟨10.1109/TSG.2023.3238913⟩

Sparse stealth attack constructions that minimize the mutual information between the state variables and the observations are proposed. The attack construction is formulated as the design of a multivariate Gaussian distribution that aims to minimize

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ceee2070b3c06114b98e84b86f848db
https://hal.science/hal-03516567/document

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Analysis of the Relative Entropy Asymmetry in the Regularization of Empirical Risk Minimization

Autor: Daunas, Francisco, Esnaola, Iñaki, Perlaza, Samir M., Poor, H. Vincent

Publikováno v: Proceedings of the IEEE International Symposium on Information Theory (ISIT)
IEEE International Symposium on Information Theory (ISIT)
IEEE International Symposium on Information Theory (ISIT), Jun 2023, Taipei, Taiwan

The effect of the relative entropy asymmetry is analyzed in the empirical risk minimization with relative entropy regularization (ERM-RER) problem. A novel regularization is introduced, coined Type-II regularization, that allows for solutions to the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::450867707aeac65cc27673228a648a8e
https://hal.science/hal-04097637/document

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On the Validation of Gibbs Algorithms: Training Datasets, Test Datasets and their Aggregation

Autor: Perlaza, Samir, Esnaola, Iñaki, Bisson, Gaetan, Poor, H

Publikováno v: IEEE International Symposium on Information Theory (ISIT 2023)
IEEE International Symposium on Information Theory (ISIT 2023), Jun 2023, Taipei, Taiwan

The dependence on training data of the Gibbs algorithm (GA) is analytically characterized. By adopting the expected empirical risk as the performance metric, the sensitivity of the GA is obtained in closed form. In this case, sensitivity is the perfo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae3d49e8a94a00e24f6562411caa1436
http://arxiv.org/abs/2306.12380

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Connections between Linear Complementary Dual Codes, Permanents and Geometry

Autor: Alahmadi, Adel, Alhazmi, Husain, Shoaib, Hatoon, Glynn, David, Rehman, Saeed, Solé, Patrick

Publikováno v: Mathematics
Mathematics, 2023, 11 (12), pp.27774. ⟨10.3390/math11122774⟩

Linear codes with complementary duals, or LCD codes, have recently been applied to side-channel and fault injection attack-resistant cryptographic countermeasures. We explain that over characteristic two fields, they exist whenever the permanent of a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3430::53501eb9f773eb8e7b93694ac632c42b
https://hal.science/hal-04136827/document

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Improved decoding of symmetric rank metric errors

Autor: Couvreur, Alain

We consider the decoding of rank metric codes assuming the error matrix is symmetric. We prove two results. First, for rates $1/2$, we propose a decoder for Gabidulin codes correcting symmetric errors of rank up to $n-k$. The two mentioned decoders a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ccd898b34a86481474f44f94015e319c
https://inria.hal.science/hal-03920845

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Optimal Anticodes, MSRD Codes, and Generalized Weights in the Sum-Rank Metric

Autor: Lorenzo García, Elisa, Moreno, Eduardo Camps, Gorla, Elisa, Landolina, Cristina, García, Elisa Lorenzo, Martínez-Peñas, Umberto, Salizzoni, Flavio

Publikováno v: IEEE Transactions on Information Theory
IEEE Transactions on Information Theory, 2022, 68 (Issue: 6), pp.3806-3822

International audience; Sum-rank metric codes have recently attracted the attention of many researchers, due to their relevance in several applications. Mathematically, the sum-rank metric is a natural generalization of both the Hamming metric and th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e76f0e68b52fa914f34eebf3da3bfd60
https://doi.org/10.1109/tit.2022.3156206

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Minimisation du Risque Empirique avec Régularisation par Entropie Relative de Type-II

Autor: Daunas, Francisco, Esnaola, Iñaki, Perlaza, Samir, Poor, H

Publikováno v: RR-9508, INRIA, Centre Inria d'Université Côte d'Azur, Sophia Antipolis. 2023

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______165::dac7de7a334a6f3b062b46763c43e0e9
https://hal.science/hal-04110899/file/RR9508.pdf

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Jeux 2 × 2 à Somme Nulle avec Engagements et Observations Bruitées

Autor: Sun, Ke, Perlaza, Samir, Jean-Marie, Alain

Publikováno v: RR-9505, Inria-Sophia Antipolis. 2023
IEEE International Symposium on Information Theory (ISIT)
IEEE International Symposium on Information Theory (ISIT), Jun 2023, Taipei, Taiwan

In this report, 2 × 2 zero-sum games are studied under the following assumptions: (1) One of the players (the leader) commits to choose its actions by sampling a given probability measure (strategy); (2) The leader announces its action, which is obs

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::2842058a170c974da655b286199c43ef
https://hal.science/hal-03838009

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