Cartan geometry, Lie and representation theory, Integrable Systems, quantum Groups and quantum computing towards the understanding of the geometry of deep Learning and its Applications

Información del proyecto

CaLIGOLA

Identificador del acuerdo de subvención: 101086123

DOI

10.3030/101086123

Fecha de la firma de la CE 3 Noviembre 2022

Fecha de inicio 1 Enero 2023

Fecha de finalización 31 Diciembre 2026

Financiado con arreglo a

• Marie Skłodowska-Curie Actions (MSCA)

Coste total

Sin datos

Aportación de la UE

€ 874 000,00

Coordinado por

ALMA MATER STUDIORUM - UNIVERSITA DI BOLOGNA
Italy

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Resultado final

Documents, reports (10)

D2.1 classification of integrable systems

Preprint on the classification of Integrable systems

D3.3 quantum symmetric spaces

Volume of Proceedings of a quantum symmetric spaces conferences

D1.3, D1.4 Kahler supergeometry

Preprint on Kahler supergeometry 1 UNIBO Research Specialist 24D1.4Proceedings of a conference on Cartan Geometry and Representation theory

D5.1, D5.4 Models of vision

Preprint: New models of vision inspired by Lie group thermodynamics.Proceedings of a meeting organized by Thales on information geometry

D2.2 SUSY gauge fields theories

Preprint on SUSY gauge field theories

D1.1, D1.2: BGG and subriemannian geometry

Preprint on BGG operatorsPreprint on subriemannian geometry

D4.1 Quantum information theory

Preprint: Quantum Geometric Tensor, Quantum Information theory

D4.2 Topological Quantum Computation

Preprint: Topological Quantum Computation and Yetter-Drinfel'd modules

D3.1, D3.2 Spectral triples for quantum flag manifolds.

Preprint on Spectral triples for quantum flag manifolds.Preprint on Quantum flag manifolds

D5.2,D5.3 Geometric deep learning

Preprint on Geneos.Preprint: Geometric Deep Learning and quantum differential calculus.

Data Management Plan (1)

D6.4 Data management plan

Data management plan

Websites, patent fillings, videos etc. (2)

D6.3 Public engagement

National and local public engagement events coordination

D6.1, D6.2 Dissemination plan

Website creation and newsletter deliveryCoordination of dissemination activities

Publicaciones

Peer reviewed articles (31)

A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism

Autores: R. Fioresi; A. Marraffa; J. Petkovic
Publicado en: Diff. Geom. and Applications, 2024
Editor: Elsevier
DOI: 10.48550/ARXIV.2304.00084

Black hole perturbation theory and multiple polylogarithms

Autores: Gleb Aminov, Paolo Arnaudo, Giulio Bonelli, Alba Grassi, Alessandro Tanzini
Publicado en: Journal of High Energy Physics, Edición 2023, 2024, ISSN 1029-8479
Editor: Springer Science and Business Media LLC
DOI: 10.1007/JHEP11(2023)059

Semiholonomic jets and induced modules in Cartan geometry calculus

Autores: Jan Slovák, Vladimír Souček
Publicado en: Archivum Mathematicum, 2024, ISSN 0044-8753
Editor: Masaryk University Press
DOI: 10.5817/AM2024-4-191

The Geometry of Quantum Computing

Autores: E. Ercolessi, R. Fioresi, T. Weber
Publicado en: Int. J. of Geometric Methods in Mod. Phys., 2024
Editor: World Scientific Publishing
DOI: 10.48550/arXiv.2312.14807

Deep learning and geometric deep learning: An introduction for mathematicians and physicists

Autores: R. Fioresi, F. Zanchetta
Publicado en: International Journal of Geometric Methods in Modern Physics, Edición 20, 2023, ISSN 0219-8878
Editor: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S0219887823300064

Gene selection for prediction of transcriptome signal based on a machine learning approach

Autores: Pietro Demurtas, Jacopo Bertozzi, Irene Di Silvestro, Kevin Carlin, Andre Ghetti, Brian Krause, Giovanni Perini, Ferdinando Zanchetta, Rita Fioresi
Publicado en: Discover Applied Sciences, Edición 7, 2025, ISSN 3004-9261
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S42452-025-07841-1

One loop effective actions in Kerr-(A)dS black holes

Autores: Paolo Arnaudo, Giulio Bonelli, Alessandro Tanzini
Publicado en: Physical Review D, Edición 110, 2024, ISSN 2470-0010
Editor: American Physical Society (APS)
DOI: 10.1103/PHYSREVD.110.106006

The Fuzzy Bit

Autores: Milagrosa Aldana; María Antonia Lledó
Publicado en: Symmetry, Vol 15, Iss 12, p 2103 (2023), 2023
Editor: CORNELL UNIVERSITY
DOI: 10.48550/ARXIV.2311.14083

Boundary Structure of the Standard Model Coupled to Gravity

Autores: Giovanni Canepa, Alberto S. Cattaneo, Filippo Fila-Robattino, Manuel Tecchiolli
Publicado en: Annales Henri Poincaré, 2024, ISSN 1424-0637
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S00023-024-01485-4

Temperature-based pruning for input features in Graph Neural Networks

Autores: Lapenna Michela, Faglioni Francesco, Fioresi Rita, Bruno Giovanni
Publicado en: The European Physical Journal Plus, Edición 140, 2025, ISSN 2190-5444
Editor: Springer Science and Business Media LLC
DOI: 10.1140/EPJP/S13360-025-06804-0

Black Hole Perturbation Theory Meets CFT$_2$: Kerr Compton Amplitudes from Nekrasov-Shatashvili Functions

Autores: Bautista, Yilber Fabian; Bonelli, Giulio; Iossa, Cristoforo; Tanzini, Alessandro; Zhou, Zihan
Publicado en: Phys. Rev. D, Edición 109, 2024
Editor: APS
DOI: 10.48550/ARXIV.2312.05965

On the Đurđević approach to quantum principal bundles

Autores: Antonio Del Donno, Emanuele Latini, Thomas Weber
Publicado en: Journal of Geometry and Physics, Edición 216, 2025, ISSN 0393-0440
Editor: Elsevier BV
DOI: 10.1016/J.GEOMPHYS.2025.105567

Spontaneous Emergence of Robustness to Light Variation in CNNs With a Precortically Inspired Module

Autores: J. Petkovic, R. Fioresi
Publicado en: Neural Computation, Edición 36, 2024, ISSN 0899-7667
Editor: MIT Press
DOI: 10.1162/NECO_A_01691

Gene selection for prediction of transcriptome signal based on a machine learning approach

Autores: Pietro Demurtas, Jacopo Bertozzi, Irene Di Silvestro, Kevin Carlin, Andre Ghetti, Brian Krause, Giovanni Perini, Ferdinando Zanchetta, Rita Fioresi
Publicado en: Discover Applied Sciences, ISSN 3004-9261
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S42452-025-07841-1

Geometric deep learning for enhanced quantitative analysis of microstructures in X-ray computed tomography data

Autores: Lapenna M.; Tsamos A.; Faglioni F.; Fioresi R.; Zanchetta F.; Bruno G.
Publicado en: Discover Applied Sciences, 2024
Editor: SPRINGER NATURE
DOI: 10.1007/S42452-024-05985-0

Cartan moving frames and the data manifolds

Autores: Eliot Tron, Rita Fioresi, Nicolas Couëllan, Stéphane Puechmorel
Publicado en: Information Geometry, Edición 7, 2024, ISSN 2511-2481
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S41884-024-00159-8

Reducing the number of qubits by a half in one dimensional quantum simulations of Ising chains

Autores: Mehrabankar, Somayeh; Garca-March, Miguel ngel; Almudver, Carmen G.; Prez, Armando
Publicado en: New Journal of Physics, 2024
Editor: New Journal of Physics, Volume 26, August 2024
DOI: 10.48550/arxiv.2308.01545

Kolmogorov–Arnold and Long Short-Term Memory Convolutional Network Models for Supervised Quality Recognition of Photoplethysmogram Signals

Autores: Aneeqa Mehrab, Michela Lapenna, Ferdinando Zanchetta, Angelica Simonetti, Giovanni Faglioni, Andrea Malagoli, Rita Fioresi
Publicado en: Entropy, Edición 27, 2025, ISSN 1099-4300
Editor: MDPI AG
DOI: 10.3390/E27040326

Noncommutative complex structures for the full quantum flag manifold of $$\mathcal {O}_q(\textrm{SU}_3)$$

Autores: Alessandro Carotenuto, Réamonn Ó Buachalla, Junaid Razzaq
Publicado en: Letters in Mathematical Physics, Edición 115, 2025, ISSN 1573-0530
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S11005-025-01955-8

Harmonic analysis of compact Lie supergroups

Autores: M.-K. Chuah, C.A. Cremonini, R. Fioresi
Publicado en: Expositiones Mathematicae, Edición 43, 2025, ISSN 0723-0869
Editor: Elsevier BV
DOI: 10.1016/J.EXMATH.2024.125586

Communications in Mathematical Physics

Autores: P. Aschieri, R. Fioresi, E. Latini, T. Weber
Publicado en: Communications in Mathematical Physics, Edición 405, ISSN 0010-3616
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S00220-024-05007-5

Equivariant BV-BFV formalism

Autores: Alberto S. Cattaneo, Nima Moshayedi
Publicado en: Journal of Geometry and Physics, Edición 218, 2026, ISSN 0393-0440
Editor: Elsevier BV
DOI: 10.1016/J.GEOMPHYS.2025.105684

Thermodynamics modeling of deep learning systems for a temperature based filter pruning technique

Autores: Lapenna, M; Faglioni, F; Fioresi, R
Publicado en: Frontiers in Physics, Vol 11 (2023), 2023
Editor: FRONTIERS
DOI: 10.3389/FPHY.2023.1145156

Noncommutative differential geometry on crossed product algebras

Autores: Andrea Sciandra; Thomas Weber
Publicado en: Journal of Algebra, 2025
Editor: CORNELL UNIVERSITY
DOI: 10.48550/ARXIV.2308.14662

Solitons in a photonic nonlinear quantum walk: lessons from the continuum

Autores: Anglés-Castillo, Andreu; Pérez, Armando; Roldán, Eugenio
Publicado en: 2023
Editor: CORNELL UNIVERSITY
DOI: 10.48550/ARXIV.2308.01014

Effect of noisy environment on secure quantum teleportation of unimodal Gaussian states

Autores: Mehrabankar, S.; Mahmoudi, P. (Payman); Abbasnezhad, F.; Afshar, D.; Isar, A.
Publicado en: Quantum Information Processing, 2024
Editor: Springer Nature
DOI: 10.1007/s11128-024-04545-0

Basic quasi-reductive root data and supergroups

Autores: Fioresi, Rita; Shu, Bin
Publicado en: 2023
Editor: CORNELL UNIVERSITY
DOI: 10.48550/ARXIV.2303.18065

Chamfer distance for non-linear registration of Triply Periodic Minimal Surface lattices

Autores: Michela Lapenna, Francesco Faglioni, Keerthana Chand, Bardia Hejazi, Rita Fioresi, Giovanni Bruno
Publicado en: Additive Manufacturing Letters, Edición 14, 2026, ISSN 2772-3690
Editor: Elsevier BV
DOI: 10.1016/J.ADDLET.2025.100299

Lusztig's positive root vectors and a Dolbeault complex for the A-series full quantum flag manifolds

Autores: Réamonn Ó Buachalla, Petr Somberg
Publicado en: Journal of Algebra, Edición 678, 2025, ISSN 0021-8693
Editor: Elsevier BV
DOI: 10.1016/J.JALGEBRA.2025.03.035

Generalized root systems

Autores: Dimitrov, Ivan; Fioresi, Rita
Publicado en: Transactions of the AMS, 2023
Editor: AMS
DOI: 10.48550/ARXIV.2308.06852

A novel iterative algorithm to improve segmentations with deep convolutional neural networks trained with synthetic X-ray computed tomography data (i.S.Sy.Da.T.A)

Autores: A. Tsamos, S. Evsevleev, R. Fioresi, F. Faglioni, G. Bruno
Publicado en: Computational Materials Science, Edición 223, 2024, ISSN 0927-0256
Editor: Elsevier BV
DOI: 10.1016/J.COMMATSCI.2023.112112

Other (2)

Levi-Civita connection on the irreducible quantum flag manifolds

Autores: J. Bhowmick, B. Ghosh, A. Krutov, R. Buachalla
Publicado en: 2024
Editor: arxiv
DOI: 10.48550/arXiv.2411.03102

CONFORMALLY COMPACT AND HIGHER CONFORMAL YANG–MILLS EQUATIONS

Autores: A. Rod Gover, Emanuele Latini, Andrew Waldron, Yongbing Zhang
Publicado en: 2024

Conference proceedings (1)

Gauge transformations on quantum principal bundles

Autores: Thomas Weber, Antonio Del Donno, Emanuele Latini
Publicado en: "Proceedings of Proceedings of the Corfu Summer Institute 2024 ""School and Workshops on Elementary Particle Physics and Gravity"" — PoS(CORFU2024)", 2025
Editor: Sissa Medialab
DOI: 10.22323/1.490.0310

Monographic books (1)

Geometric Science of Information

Publicado en: Lecture Notes in Computer Science, 2023
Editor: Springer Nature Switzerland
DOI: 10.1007/978-3-031-38271-0

Book chapters (1)

Enhancing CNNs Robustness to Occlusions with Bioinspired Filters for Border Completion

Autores: Catarina P. Coutinho, Aneeqa Merhab, Janko Petkovic, Ferdinando Zanchetta, Rita Fioresi
Publicado en: Lecture Notes in Computer Science, Geometric Science of Information, 2025
Editor: Springer Nature Switzerland
DOI: 10.1007/978-3-032-03918-7_28