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

Informacje na temat projektu

CaLIGOLA

Identyfikator umowy o grant: 101086123

DOI

10.3030/101086123

Data podpisania przez KE 3 Listopada 2022

Data rozpoczęcia 1 Stycznia 2023

Data zakończenia 31 Grudnia 2026

Finansowanie w ramach

• Marie Skłodowska-Curie Actions (MSCA)

Koszt całkowity

Brak danych

Wkład UE

€ 874 000,00

Koordynowany przez

ALMA MATER STUDIORUM - UNIVERSITA DI BOLOGNA
Italy

CORDIS oferuje możliwość skorzystania z odnośników do publicznie dostępnych publikacji i rezultatów projektów realizowanych w ramach programów ramowych HORYZONT.

Odnośniki do rezultatów i publikacji związanych z poszczególnymi projektami 7PR, a także odnośniki do niektórych konkretnych kategorii wyników, takich jak zbiory danych i oprogramowanie, są dynamicznie pobierane z systemu OpenAIRE .

Rezultaty

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

Publikacje

Peer reviewed articles (31)

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

Autorzy: R. Fioresi; A. Marraffa; J. Petkovic
Opublikowane w: Diff. Geom. and Applications, 2024
Wydawca: Elsevier
DOI: 10.48550/ARXIV.2304.00084

Black hole perturbation theory and multiple polylogarithms

Autorzy: Gleb Aminov, Paolo Arnaudo, Giulio Bonelli, Alba Grassi, Alessandro Tanzini
Opublikowane w: Journal of High Energy Physics, Numer 2023, 2024, ISSN 1029-8479
Wydawca: Springer Science and Business Media LLC
DOI: 10.1007/JHEP11(2023)059

Semiholonomic jets and induced modules in Cartan geometry calculus

Autorzy: Jan Slovák, Vladimír Souček
Opublikowane w: Archivum Mathematicum, 2024, ISSN 0044-8753
Wydawca: Masaryk University Press
DOI: 10.5817/AM2024-4-191

The Geometry of Quantum Computing

Autorzy: E. Ercolessi, R. Fioresi, T. Weber
Opublikowane w: Int. J. of Geometric Methods in Mod. Phys., 2024
Wydawca: World Scientific Publishing
DOI: 10.48550/arXiv.2312.14807

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

Autorzy: R. Fioresi, F. Zanchetta
Opublikowane w: International Journal of Geometric Methods in Modern Physics, Numer 20, 2023, ISSN 0219-8878
Wydawca: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S0219887823300064

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

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

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

Autorzy: Paolo Arnaudo, Giulio Bonelli, Alessandro Tanzini
Opublikowane w: Physical Review D, Numer 110, 2024, ISSN 2470-0010
Wydawca: American Physical Society (APS)
DOI: 10.1103/PHYSREVD.110.106006

The Fuzzy Bit

Autorzy: Milagrosa Aldana; María Antonia Lledó
Opublikowane w: Symmetry, Vol 15, Iss 12, p 2103 (2023), 2023
Wydawca: CORNELL UNIVERSITY
DOI: 10.48550/ARXIV.2311.14083

Boundary Structure of the Standard Model Coupled to Gravity

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

Temperature-based pruning for input features in Graph Neural Networks

Autorzy: Lapenna Michela, Faglioni Francesco, Fioresi Rita, Bruno Giovanni
Opublikowane w: The European Physical Journal Plus, Numer 140, 2025, ISSN 2190-5444
Wydawca: 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

Autorzy: Bautista, Yilber Fabian; Bonelli, Giulio; Iossa, Cristoforo; Tanzini, Alessandro; Zhou, Zihan
Opublikowane w: Phys. Rev. D, Numer 109, 2024
Wydawca: APS
DOI: 10.48550/ARXIV.2312.05965

On the Đurđević approach to quantum principal bundles

Autorzy: Antonio Del Donno, Emanuele Latini, Thomas Weber
Opublikowane w: Journal of Geometry and Physics, Numer 216, 2025, ISSN 0393-0440
Wydawca: Elsevier BV
DOI: 10.1016/J.GEOMPHYS.2025.105567

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

Autorzy: J. Petkovic, R. Fioresi
Opublikowane w: Neural Computation, Numer 36, 2024, ISSN 0899-7667
Wydawca: MIT Press
DOI: 10.1162/NECO_A_01691

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

Autorzy: Pietro Demurtas, Jacopo Bertozzi, Irene Di Silvestro, Kevin Carlin, Andre Ghetti, Brian Krause, Giovanni Perini, Ferdinando Zanchetta, Rita Fioresi
Opublikowane w: Discover Applied Sciences, ISSN 3004-9261
Wydawca: 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

Autorzy: Lapenna M.; Tsamos A.; Faglioni F.; Fioresi R.; Zanchetta F.; Bruno G.
Opublikowane w: Discover Applied Sciences, 2024
Wydawca: SPRINGER NATURE
DOI: 10.1007/S42452-024-05985-0

Cartan moving frames and the data manifolds

Autorzy: Eliot Tron, Rita Fioresi, Nicolas Couëllan, Stéphane Puechmorel
Opublikowane w: Information Geometry, Numer 7, 2024, ISSN 2511-2481
Wydawca: 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

Autorzy: Mehrabankar, Somayeh; Garca-March, Miguel ngel; Almudver, Carmen G.; Prez, Armando
Opublikowane w: New Journal of Physics, 2024
Wydawca: 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

Autorzy: Aneeqa Mehrab, Michela Lapenna, Ferdinando Zanchetta, Angelica Simonetti, Giovanni Faglioni, Andrea Malagoli, Rita Fioresi
Opublikowane w: Entropy, Numer 27, 2025, ISSN 1099-4300
Wydawca: MDPI AG
DOI: 10.3390/E27040326

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

Autorzy: Alessandro Carotenuto, Réamonn Ó Buachalla, Junaid Razzaq
Opublikowane w: Letters in Mathematical Physics, Numer 115, 2025, ISSN 1573-0530
Wydawca: Springer Science and Business Media LLC
DOI: 10.1007/S11005-025-01955-8

Harmonic analysis of compact Lie supergroups

Autorzy: M.-K. Chuah, C.A. Cremonini, R. Fioresi
Opublikowane w: Expositiones Mathematicae, Numer 43, 2025, ISSN 0723-0869
Wydawca: Elsevier BV
DOI: 10.1016/J.EXMATH.2024.125586

Communications in Mathematical Physics

Autorzy: P. Aschieri, R. Fioresi, E. Latini, T. Weber
Opublikowane w: Communications in Mathematical Physics, Numer 405, ISSN 0010-3616
Wydawca: Springer Science and Business Media LLC
DOI: 10.1007/S00220-024-05007-5

Equivariant BV-BFV formalism

Autorzy: Alberto S. Cattaneo, Nima Moshayedi
Opublikowane w: Journal of Geometry and Physics, Numer 218, 2026, ISSN 0393-0440
Wydawca: Elsevier BV
DOI: 10.1016/J.GEOMPHYS.2025.105684

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

Autorzy: Lapenna, M; Faglioni, F; Fioresi, R
Opublikowane w: Frontiers in Physics, Vol 11 (2023), 2023
Wydawca: FRONTIERS
DOI: 10.3389/FPHY.2023.1145156

Noncommutative differential geometry on crossed product algebras

Autorzy: Andrea Sciandra; Thomas Weber
Opublikowane w: Journal of Algebra, 2025
Wydawca: CORNELL UNIVERSITY
DOI: 10.48550/ARXIV.2308.14662

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

Autorzy: Anglés-Castillo, Andreu; Pérez, Armando; Roldán, Eugenio
Opublikowane w: 2023
Wydawca: CORNELL UNIVERSITY
DOI: 10.48550/ARXIV.2308.01014

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

Autorzy: Mehrabankar, S.; Mahmoudi, P. (Payman); Abbasnezhad, F.; Afshar, D.; Isar, A.
Opublikowane w: Quantum Information Processing, 2024
Wydawca: Springer Nature
DOI: 10.1007/s11128-024-04545-0

Basic quasi-reductive root data and supergroups

Autorzy: Fioresi, Rita; Shu, Bin
Opublikowane w: 2023
Wydawca: CORNELL UNIVERSITY
DOI: 10.48550/ARXIV.2303.18065

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

Autorzy: Michela Lapenna, Francesco Faglioni, Keerthana Chand, Bardia Hejazi, Rita Fioresi, Giovanni Bruno
Opublikowane w: Additive Manufacturing Letters, Numer 14, 2026, ISSN 2772-3690
Wydawca: 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

Autorzy: Réamonn Ó Buachalla, Petr Somberg
Opublikowane w: Journal of Algebra, Numer 678, 2025, ISSN 0021-8693
Wydawca: Elsevier BV
DOI: 10.1016/J.JALGEBRA.2025.03.035

Generalized root systems

Autorzy: Dimitrov, Ivan; Fioresi, Rita
Opublikowane w: Transactions of the AMS, 2023
Wydawca: 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)

Autorzy: A. Tsamos, S. Evsevleev, R. Fioresi, F. Faglioni, G. Bruno
Opublikowane w: Computational Materials Science, Numer 223, 2024, ISSN 0927-0256
Wydawca: Elsevier BV
DOI: 10.1016/J.COMMATSCI.2023.112112

Other (2)

Levi-Civita connection on the irreducible quantum flag manifolds

Autorzy: J. Bhowmick, B. Ghosh, A. Krutov, R. Buachalla
Opublikowane w: 2024
Wydawca: arxiv
DOI: 10.48550/arXiv.2411.03102

CONFORMALLY COMPACT AND HIGHER CONFORMAL YANG–MILLS EQUATIONS

Autorzy: A. Rod Gover, Emanuele Latini, Andrew Waldron, Yongbing Zhang
Opublikowane w: 2024

Conference proceedings (1)

Gauge transformations on quantum principal bundles

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

Monographic books (1)

Geometric Science of Information

Opublikowane w: Lecture Notes in Computer Science, 2023
Wydawca: 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

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