Authors: Zou, Xinying, Perlaza, Samir, M., Esnaola, Iñaki, Altman, Eitan, Poor, H. Vincent

Contributors: Network Engineering and Operations (NEO ), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Department of Electrical and Computer Engineering Princeton (ECE), Princeton University, Laboratoire de Géométrie Algébrique et Applications à la Théorie de l'Information (GAATI), Université de la Polynésie Française (UPF), Department of Automatic Control and Systems Engineering Sheffield (ACSE), University of Sheffield Sheffield, Laboratoire Informatique d'Avignon (LIA), Avignon Université (AU)-Centre d'Enseignement et de Recherche en Informatique - CERI, Inria Exploratory Action -- Information and Decision Making (IDEM)U.S National Science Foundation under Grant ECCS-2335876C3.ai Digital Transformation InstitutePrinceton Language + Intelligence, INRIA, ANR-21-CE25-0013,PARFAIT,Planification et apprentissage pour AI-Edge Computing (PARFAIT)(2021), European Project: 872172,H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions,TESTBED2(2020)

Superior Title: https://inria.hal.science/hal-04442566 ; RR-9539, INRIA. 2024, pp.80.

Subject Terms: Statistical Machine Learning, Gibbs Algorithm, Generalization Error, [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT], [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI], [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG], [STAT.ML]Statistics [stat]/Machine Learning [stat.ML]

Relation: info:eu-repo/grantAgreement//872172/EU/Testing and Evaluating Sophisticated information and communication Technologies for enaBling scalablE smart griD Deployment/TESTBED2; Report N°: RR-9539; hal-04442566; https://inria.hal.science/hal-04442566; https://inria.hal.science/hal-04442566v3/document; https://inria.hal.science/hal-04442566v3/file/V3-RR9539.pdf

Availability: https://inria.hal.science/hal-04442566
https://inria.hal.science/hal-04442566v3/document
https://inria.hal.science/hal-04442566v3/file/V3-RR9539.pdf

Authors: Perlaza, Samir, M., Zou, Xinying, Esnaola, Iñaki, Altman, Eitan, Poor, H. Vincent

Contributors: Network Engineering and Operations (NEO ), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Department of Electrical and Computer Engineering Princeton (ECE), Princeton University, Laboratoire de Géométrie Algébrique et Applications à la Théorie de l'Information (GAATI), Université de la Polynésie Française (UPF), Department of Automatic Control and Systems Engineering Sheffield (ACSE), University of Sheffield Sheffield, Laboratoire Informatique d'Avignon (LIA), Avignon Université (AU)-Centre d'Enseignement et de Recherche en Informatique - CERI, ANR-21-CE25-0013,PARFAIT,Planification et apprentissage pour AI-Edge Computing (PARFAIT)(2021), European Project: 872172,H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions,TESTBED2(2020)

Superior Title: https://inria.hal.science/hal-04426500 ; 2024.

Subject Terms: Gibbs Algorithm, Generalization Error, Worst-Case, [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT], [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG], [STAT.ML]Statistics [stat]/Machine Learning [stat.ML]

Relation: info:eu-repo/grantAgreement//872172/EU/Testing and Evaluating Sophisticated information and communication Technologies for enaBling scalablE smart griD Deployment/TESTBED2; hal-04426500; https://inria.hal.science/hal-04426500; https://inria.hal.science/hal-04426500v2/document; https://inria.hal.science/hal-04426500v2/file/SubmittedToITW2024%20%281%29.pdf

Availability: https://inria.hal.science/hal-04426500
https://inria.hal.science/hal-04426500v2/document
https://inria.hal.science/hal-04426500v2/file/SubmittedToITW2024%20%281%29.pdf

Authors: Archita, M.

Subject Terms: Group Theory math.GR, FOS Mathematics, 20 Group theory and generalizations

Availability: https://doi.org/10.48550/arxiv.2404.07500
https://arxiv.org/abs/2404.07500

Authors: Haddouche, Maxime, Viallard, Paul, Şimşekli, Umut, Guedj, Benjamin

Contributors: Université de Lille, The Inria London Programme (Inria-London), Department of Computer science University College of London (UCL-CS), University College of London London (UCL)-University College of London London (UCL)-Institut National de Recherche en Informatique et en Automatique (Inria), MOdel for Data Analysis and Learning (MODAL), Laboratoire Paul Painlevé - UMR 8524 (LPP), Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Université de Lille, Sciences et Technologies-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Evaluation des technologies de santé et des pratiques médicales - ULR 2694 (METRICS), Université de Lille-Centre Hospitalier Régional Universitaire CHU Lille (CHRU Lille)-Université de Lille-Centre Hospitalier Régional Universitaire CHU Lille (CHRU Lille)-École polytechnique universitaire de Lille (Polytech Lille), Université de Rennes (UR), Large Scale Collaborative Data Mining (LACODAM), Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-GESTION DES DONNÉES ET DE LA CONNAISSANCE (IRISA-D7), Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom Paris (IMT)-Institut Mines-Télécom Paris (IMT)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut Mines-Télécom Paris (IMT)-Institut Mines-Télécom Paris (IMT)-Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom Paris (IMT)-Institut Mines-Télécom Paris (IMT), Statistical Machine Learning and Parsimony (SIERRA), Département d'informatique - ENS Paris (DI-ENS), École normale supérieure - Paris (ENS-PSL), Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS-PSL), Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria), University College of London London (UCL), The Alan Turing Institute, Paul Viallard and Umut Simsekli are partially supported by the French program “Investissements d’avenir” ANR-19-P3IA-0001 (PRAIRIE 3IA Institute). Umut Simsekli is also supported by the European Research Council Starting Grant DYNASTY – 101039676. Benjamin Guedj acknowledges partial support from the French Research Agency through the programme “France 2030” and PEPR IA on grant SHARP ANR-23-PEIA-0008, ANR-19-P3IA-0001,PRAIRIE,PaRis Artificial Intelligence Research InstitutE(2019), ANR-23-PEIA-0008,SHARP,Sharp Theoretical and Algorithmic Principles for frugal ML(2023), European Project: 101039676,HORIZON.1.1 - European Research Council (ERC),DYNASTY(2022)

Superior Title: https://hal.science/hal-04455639 ; 2024.

Subject Terms: Generalisation Bounds, PAC-Bayes, Flat Minima, Poincaré, Log-Sobolev Inequalities, [STAT]Statistics [stat], [INFO]Computer Science [cs]

Relation: info:eu-repo/grantAgreement//101039676/EU/Dynamics-Aware Theory of Deep Learning/DYNASTY; hal-04455639; https://hal.science/hal-04455639; https://hal.science/hal-04455639/document; https://hal.science/hal-04455639/file/PLS_inequalities_x_PAC_Bayes.pdf

Availability: https://hal.science/hal-04455639
https://hal.science/hal-04455639/document
https://hal.science/hal-04455639/file/PLS_inequalities_x_PAC_Bayes.pdf

Authors: Zou, Xinying, Perlaza, Samir, M., Esnaola, Iñaki, Altman, Eitan, Poor, H. Vincent

Contributors: Network Engineering and Operations (NEO ), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Department of Electrical and Computer Engineering Princeton (ECE), Princeton University, Laboratoire de Géométrie Algébrique et Applications à la Théorie de l'Information (GAATI), Université de la Polynésie Française (UPF), Department of Automatic Control and Systems Engineering Sheffield (ACSE), University of Sheffield Sheffield, Laboratoire Informatique d'Avignon (LIA), Avignon Université (AU)-Centre d'Enseignement et de Recherche en Informatique - CERI, INRIA Exploratory Action IDEM, ANR-21-CE25-0013,PARFAIT,Planification et apprentissage pour AI-Edge Computing (PARFAIT)(2021), European Project: 872172,H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions,TESTBED2(2020)

Superior Title: https://inria.hal.science/hal-04426500 ; 2024.

Subject Terms: Generalization Error, Worst-Case, [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT], [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG], [STAT.ML]Statistics [stat]/Machine Learning [stat.ML]

Relation: info:eu-repo/grantAgreement//872172/EU/Testing and Evaluating Sophisticated information and communication Technologies for enaBling scalablE smart griD Deployment/TESTBED2; hal-04426500; https://inria.hal.science/hal-04426500; https://inria.hal.science/hal-04426500/document; https://inria.hal.science/hal-04426500/file/An%20Exact%20Characterization%20of%20the%20Generalization%20Error%20of%20Machine%20Learning%20Algorithms.pdf

Availability: https://inria.hal.science/hal-04426500
https://inria.hal.science/hal-04426500/document
https://inria.hal.science/hal-04426500/file/An%20Exact%20Characterization%20of%20the%20Generalization%20Error%20of%20Machine%20Learning%20Algorithms.pdf

Authors: Le, Tam, Malick, Jérôme

Contributors: Données, Apprentissage et Optimisation (DAO), Laboratoire Jean Kuntzmann (LJK), Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA), ANR-19-P3IA-0003,MIAI,MIAI @ Grenoble Alpes(2019)

Superior Title: https://hal.science/hal-04460543 ; 2024.

Subject Terms: generalization guarantees, optimal transport, distributionally robust optimization, nonsmooth analysis, [STAT.ML]Statistics [stat]/Machine Learning [stat.ML], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2402.11981; hal-04460543; https://hal.science/hal-04460543; https://hal.science/hal-04460543/document; https://hal.science/hal-04460543/file/preprint.pdf; ARXIV: 2402.11981

Availability: https://hal.science/hal-04460543
https://hal.science/hal-04460543/document
https://hal.science/hal-04460543/file/preprint.pdf

Authors: Zou, Xinying, Perlaza, Samir, M, Esnaola, Iñaki, Altman, Eitan, Poor, H. Vincent

Contributors: Network Engineering and Operations (NEO ), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Department of Electrical and Computer Engineering Princeton (ECE), Princeton University, Laboratoire de Géométrie Algébrique et Applications à la Théorie de l'Information (GAATI), Université de la Polynésie Française (UPF), Department of Automatic Control and Systems Engineering Sheffield (ACSE), University of Sheffield Sheffield, Laboratoire Informatique d'Avignon (LIA), Avignon Université (AU)-Centre d'Enseignement et de Recherche en Informatique - CERI, Inria Exploratory Action -- Information and Decision Making (IDEM), ANR-21-CE25-0013,PARFAIT,Planification et apprentissage pour AI-Edge Computing (PARFAIT)(2021)

Superior Title: https://inria.hal.science/hal-04442591 ; 2024.

Subject Terms: Supervised Machine Learning, Worst-Case, Generalization Gap, Relative Entropy, Gibbs Algorithm, Sensitivity, [INFO.INFO-IR]Computer Science [cs]/Information Retrieval [cs.IR], [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG], [STAT.ML]Statistics [stat]/Machine Learning [stat.ML]

Relation: hal-04442591; https://inria.hal.science/hal-04442591; https://inria.hal.science/hal-04442591/document; https://inria.hal.science/hal-04442591/file/The%20Worst-Case%20Data-Generating%20Probability%20Measure%20in%20Statistical%20Learning.pdf

Availability: https://inria.hal.science/hal-04442591
https://inria.hal.science/hal-04442591/document
https://inria.hal.science/hal-04442591/file/The%20Worst-Case%20Data-Generating%20Probability%20Measure%20in%20Statistical%20Learning.pdf

Authors: Guseinov, Elmar

Subject Terms: Combinatorics and discrete mathematics excl. physical combinatorics, Mathematical logic, set theory, lattices and universal algebra, Group theory and generalisations

Relation: https://dx.doi.org/10.6084/m9.figshare.25000373

Availability: https://doi.org/10.6084/m9.figshare.25000373.v410.6084/m9.figshare.25000373
https://figshare.com/articles/preprint/___/25000373/4

Authors: Guseinov, Elmar

Subject Terms: Combinatorics and discrete mathematics excl. physical combinatorics, Group theory and generalisations, Mathematical logic, set theory, lattices and universal algebra

Relation: https://dx.doi.org/10.6084/m9.figshare.25027649

Availability: https://doi.org/10.6084/m9.figshare.25027649.v110.6084/m9.figshare.25027649
https://figshare.com/articles/preprint/Ramsey_Cayley_Graphs/25027649/1

Authors: Guseinov, Elmar

Subject Terms: Combinatorics and discrete mathematics excl. physical combinatorics, Mathematical logic, set theory, lattices and universal algebra, Group theory and generalisations

Relation: https://dx.doi.org/10.6084/m9.figshare.25000373

Availability: https://doi.org/10.6084/m9.figshare.25000373.v110.6084/m9.figshare.25000373
https://figshare.com/articles/preprint/___/25000373/1

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

Contributors: Department of Automatic Control and Systems Engineering Sheffield (ACSE), University of Sheffield Sheffield, Network Engineering and Operations (NEO ), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Department of Electrical and Computer Engineering Princeton (ECE), Princeton University, Laboratoire de Géométrie Algébrique et Applications à la Théorie de l'Information (GAATI), Université de la Polynésie Française (UPF), This work is supported in part by the University of Sheffield ACSE PGR scholarships, the Inria Exploratory Action -- Information and Decision Making (AEx IDEM), and in part by a grant from the C3.ai Digital Transformation Institute., INRIA, Centre Inria d'Université Côte d'Azur, Sophia Antipolis, European Project: 872172,H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions,TESTBED2(2020)

Superior Title: https://hal.science/hal-04110899 ; RR-9508, INRIA, Centre Inria d'Université Côte d'Azur, Sophia Antipolis. 2023.

Subject Terms: Supervised Learning, Empirical Risk Minimization, Relative Entropy, Regulariza- tion, Gibbs Measure, Inductive Bias, Gibbs Algorithm, Sensitivity, Generalization, Apprentissage Supervisé, Minimisation du Risque Empirique, Entropie Relative, R\'{e}gularisation, Algorithme de Gibbs, Mesure de Gibbs, Sensitivité, Généralisation, [MATH.MATH-IT]Mathematics [math]/Information Theory [math.IT], [INFO]Computer Science [cs], [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI], [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT], [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG]

Relation: info:eu-repo/grantAgreement//872172/EU/Testing and Evaluating Sophisticated information and communication Technologies for enaBling scalablE smart griD Deployment/TESTBED2; Report N°: RR-9508; hal-04110899; https://hal.science/hal-04110899; https://hal.science/hal-04110899v2/document; https://hal.science/hal-04110899v2/file/V2-RR9508.pdf

Availability: https://hal.science/hal-04110899
https://hal.science/hal-04110899v2/document
https://hal.science/hal-04110899v2/file/V2-RR9508.pdf

Authors: Zou, Xinying, Perlaza, Samir, M., Esnaola, Iñaki, Altman, Eitan

Contributors: Network Engineering and Operations (NEO ), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Department of Electrical and Computer Engineering Princeton (ECE), Princeton University, Laboratoire de Géométrie Algébrique et Applications à la Théorie de l'Information (GAATI), Université de la Polynésie Française (UPF), University of Sheffield Sheffield, Laboratoire Informatique d'Avignon (LIA), Avignon Université (AU)-Centre d'Enseignement et de Recherche en Informatique - CERI, Laboratory of Information, Network and Communication Sciences (LINCS), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Mines-Télécom Paris (IMT)-Sorbonne Université (SU), Inria Exploratory Action -- Information and Decision Making (IDEM), INRIA, ANR-21-CE25-0013,PARFAIT,Planification et apprentissage pour AI-Edge Computing (PARFAIT)(2021)

Superior Title: https://inria.hal.science/hal-04181971 ; RR-9515, INRIA. 2023.

Subject Terms: Supervised Machine Learning, Worst-Case, Generalization Gap, Relative Entropy, Gibbs Algorithm, Sensitivity, Apprentissage automatique supervisé, pire cas, généralisation, entropie relative, algorithme de Gibbs, sensibilité, [MATH.MATH-IT]Mathematics [math]/Information Theory [math.IT], [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI], [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG], [STAT.ML]Statistics [stat]/Machine Learning [stat.ML]

Relation: Report N°: RR-9515; hal-04181971; https://inria.hal.science/hal-04181971; https://inria.hal.science/hal-04181971v2/document; https://inria.hal.science/hal-04181971v2/file/RR-9515.pdf

Availability: https://inria.hal.science/hal-04181971
https://inria.hal.science/hal-04181971v2/document
https://inria.hal.science/hal-04181971v2/file/RR-9515.pdf

Authors: Antic, Christian

Contributors: Vienna University of Technology (TU Wien)

Superior Title: https://hal.science/hal-04207922 ; 2023.

Subject Terms: Generalization, Universal Algebra, Tree Automata and Languages, Generalization Universal Algebra Tree Automata and Languages, [INFO.INFO-LO]Computer Science [cs]/Logic in Computer Science [cs.LO]

Relation: hal-04207922; https://hal.science/hal-04207922; https://hal.science/hal-04207922/document; https://hal.science/hal-04207922/file/230521-semantic_anti-unification_in_general_algebras.pdf

Availability: https://doi.org/10.13140/RG.2.2.31036.00643
https://hal.science/hal-04207922
https://hal.science/hal-04207922/document
https://hal.science/hal-04207922/file/230521-semantic_anti-unification_in_general_algebras.pdf

Authors: Lewis, Daniel J., Mertens, Karel

Superior Title: Working Papers Series (Federal Reserve Bank of Dallas); Jun2022, Issue 2208, p1-31, 32p

Subject Terms: AUTOCORRELATION (Statistics), FISCAL policy, GENERALIZATION, REGRESSION analysis

Reviews & Products: MATLAB (Computer software)

Authors: Gonon, Antoine, Brisebarre, Nicolas, Riccietti, Elisa, Gribonval, Rémi

Contributors: Optimisation, Connaissances pHysiques, Algorithmes et Modèles (OCKHAM), Laboratoire de l'Informatique du Parallélisme (LIP), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Institut Rhône-Alpin des systèmes complexes (IXXI), École normale supérieure de Lyon (ENS de Lyon)-Université Lumière - Lyon 2 (UL2)-Université Jean Moulin - Lyon 3 (UJML), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Université Lumière - Lyon 2 (UL2)-Université Jean Moulin - Lyon 3 (UJML), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Inria Lyon, Institut National de Recherche en Informatique et en Automatique (Inria), Arithmétiques des ordinateurs, méthodes formelles, génération de code (ARIC), Université de Lyon-Université de Lyon-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Inria Lyon, ANR-19-CHIA-0009,AllegroAssai,Algorithmes, Approximations, Parcimonie et Plongements pour l'IA(2019), ANR-20-CE48-0014,NuSCAP,Sûreté numérique pour les preuves assistées par ordinateur(2020)

Superior Title: https://hal.science/hal-04225201 ; 2023.

Subject Terms: ReLU neural networks, Path-norm, Generalization, Peeling, Contraction lemma, [STAT.ML]Statistics [stat]/Machine Learning [stat.ML], [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG], [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]

Relation: hal-04225201; https://hal.science/hal-04225201; https://hal.science/hal-04225201v4/document; https://hal.science/hal-04225201v4/file/Gonon_ICLR_24.pdf

Availability: https://hal.science/hal-04225201
https://hal.science/hal-04225201v4/document
https://hal.science/hal-04225201v4/file/Gonon_ICLR_24.pdf

Authors: Гольцев А.С., Номбре С.Б., Полянский Д.Д., Сторожев С.В.

Subject Terms: термоупругие волны, модели расчета скоростей, разбросы исходных параметров, погрешности экспериментальных данных, технологические допуски, нечеткомножественный учет неопределенности, аппарат нечетких вычислений, эвристический принцип расширения., thermoelastic waves, models for calculating velocities, scatter of initial parameters, errors in experimental data, technological tolerances, fuzzy set accounting of uncertainty, fuzzy calculation apparatus, heuristic generalization principle.

Availability: https://doi.org/10.24412/0136-4545-2023-4-72-80
https://cyberleninka.ru/article/n/uchet-parametricheskoy-neopredelennosti-pri-raschete-skorostey-termouprugih-voln

Authors: Гольцев А.С., Номбре С.Б., Полянский Д.Д., Сторожев С.В.

Subject Terms: изотропный полый шар, полярно-симметричное деформирование, внутреннее и внешнее давление, тепловые поверхностные воздействия, разбросы исходных параметров, нечетко-множественный учет неконтрастности, эвристический принцип обобщения., isotropic hollow ball, polar-symmetric deformation, internal and external pressure, thermal surface effects, scatter errors of initial parameters, fuzzy-set methodic of accounting, heuristic generalization principle.

Availability: https://doi.org/10.24412/0136-4545-2023-3-102-114
https://cyberleninka.ru/article/n/nechetko-mnozhestvennyy-uchet-razbrosa-parametrov-v-modeli-termomehanicheskih-vozdeystviy-na-poverhnosti-uprugogo-pologo-shara

Authors: Edoardo Niccolai

Subject Terms: $\sigma$-subalgebras, Besov space, $\mathscr{C}^2$ smooth vector fields, Clifford connection, covariant derivative of stochastic type in $\mathbb{R}^4_{1, 3}$ Minkowski space-time and in curved space-time \textsc{gr}, Dirac equations, Dirac operator, forward and backward mean derivatives, fractal space-time, fractoid spaces, Itô–Wiener processes, Klein–Gordon equations, Littlewood–Paley operator, martingale, Newton–Nelson equations, Paley–Wiener integral, quantum-like fluctuations, random fluctuations, relativistic generalization of Nelson's stochastic mechanics, scale relativity, Schrödinger operators, Schwartz space, torsion

Relation: https://dx.doi.org/10.5281/zenodo.8413143

Availability: https://doi.org/10.5281/zenodo.1043929710.5281/zenodo.8413143

Authors: Krishnakumari K., Dais George

Subject Terms: Discrete hypo exponential distribution, Estimation, Generalization, Moments, Stressstrength analysis

Availability: https://doi.org/10.24412/1932-2321-2023-476-998-1010
https://cyberleninka.ru/article/n/exponentiated-discrete-hypo-exponential-distribution-and-its-generalizations

Authors: Niccolai, Edoardo

Subject Terms: $\sigma$-subalgebras, Besov space, $\mathscr{C}^2$ smooth vector fields, Clifford connection, covariant derivative of stochastic type in $\mathbb{R}^4_{1, 3}$ Minkowski space-time and in curved space-time \textsc{gr}, Dirac equations, Dirac operator, forward and backward mean derivatives, fractal space-time, fractoid spaces, Itô–Wiener processes, Klein–Gordon equations, Littlewood–Paley operator, martingale, Newton–Nelson equations, Paley–Wiener integral, quantum-like fluctuations, random fluctuations, relativistic generalization of Nelson's stochastic mechanics, scale relativity, Schrödinger operators, Schwartz space, torsion

Relation: https://dx.doi.org/10.5281/zenodo.8413143

Availability: https://doi.org/10.5281/zenodo.841314410.5281/zenodo.8413143
https://zenodo.org/record/8413144