Cartan and differential geometry, Lie theory, quantum groups and non commutative geometry For novel and Innovative Applications to quantum algorithms and geometric deep learning

Información del proyecto

CaLiForNIA

Identificador del acuerdo de subvención: 101119552

DOI

10.3030/101119552

Fecha de la firma de la CE 5 Julio 2023

Fecha de inicio 1 Enero 2024

Fecha de finalización 31 Diciembre 2027

Financiado con arreglo a

• Marie Skłodowska-Curie Actions (MSCA)

Coste total

Sin datos

Aportación de la UE

€ 2 504 779,20

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

Websites, patent fillings, videos etc. (2)

Website

Creation of website

National and local public engagement events

National and local public engagementcoordination in synergy with UNIBOevents coordination

Documents, reports (1)

Recruitment

Advertisment on EURAXESS, websites,newsletters and Recruitment of PhDcandidates

Publicaciones

Other (21)

Algorithms in 4-manifold topology

Autores: A. Garcia-Rivas et al.
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2411.08775

Strongly invariant differential operators on parabolic geometries modelled on Gr(3,3)

Autores: J. Slovak, V. Soucek
Editor: Arxiv preprnt
DOI: 10.48550/ARXIV.2412.20369

BV Pushforward of Palatini-Cartan gravity

Autores: Giovanni Canepa, Alberto S. Cattaneo
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2507.06279

Gravity Coupled with Scalar, SU(n), and Spinor Fields on Manifolds with Null-Boundary

Autores: Alberto S. Cattaneo, Filippo Fila Robattino, Valentino Huang, Manuel Tecchiolli
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2401.09337

Levi-Civita connection on the irreducible quantum flag manifolds

Autores: Jyotishman Bhowmick, Bappa Ghosh, Andrey O. Krutov, Réamonn Ó Buachalla
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2411.03102

Quantized semisimple Lie groups

Autores: Fioresi, Rita; Yuncken, Robert
Publicado en: 2024, 2024
DOI: 10.48550/arxiv.2403.17180

Torsion-Free Bimodule Connections and the Maximal Prolongation of a First-Order Differential Calculus

Autores: Alessandro Carotenuto, Antonio Del Dono, Réamonn Ó Buachalla, Junaid Razzaq
DOI: 10.48550/ARXIV.2512.23579

On Fundamental Theorems of Invariant Theory for the Special Linear Supergroup

Autores: Junaid Razzaq, Rita Fioresi, Maria A. Lledo
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2504.07076

Variational noise mitigation in quantum circuits: the case of Quantum Fourier Transform

Autores: Rafael Gómez-Lurbe, Alexander Bernal, Armando Pérez, Bryan Zaldívar, J. Alberto Casas
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2511.05274

Controlled Generation with Equivariant Variational Flow Matching

Autores: Floor Eijkelboom, Heiko Zimmermann, Sharvaree Vadgama, Erik J Bekkers, Max Welling, Christian A. Naesseth, Jan-Willem van de Meent
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2506.18340

Noncommutative Complex Structures on Quantum Homogeneous Spaces

Autores: A. Carotenuto, R. Ó Buachalla, J. Razzaq
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2411.07767

Noncommutative complex structures for the full quantum flag manifold of Oq(SU(3))

Autores: Alessandro Carotenuto, Réamonn Ó Buachalla, Junaid Razzaq
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2411.07767

Conformally compact and higher conformal Yang-Mills equations

Autores: A. Rod Gover, Emanuele Latini, Andrew Waldron, Yongbing Zhang
Editor: Arxiv Preprint
DOI: 10.48550/ARXIV.2311.11458

Graph Homomorphism Distortion: A Metric to Distinguish Them All and in the Latent Space Bind Them

Autores: Martin Carrasco, Olga Zaghen, Kavir Sumaraj, Erik Bekkers, Bastian Rieck
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2511.03068

Geometric quantization and unitary highest weight Harish-Chandra supermodules

Autores: Meng-Kiat Chuah, Rita Fioresi
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2405.16251

Basic quasi-reductive root data and supergroups

Autores: Rita Fioresi, Bin Shu
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2303.18065

Surface Observables, -Knot Invariants, and Nonabelian Electric Fluxes

Autores: Alberto S. Cattaneo
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2511.13623

Compact Quantum Homogeneous Kähler Spaces

Autores: Biswarup Das, Réamonn Ó Buachalla, Petr Somberg
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.1910.14007

Effective normalization of sub-Riemannian connections

Autores: Erlend Grong, Jan Slovak
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2508.00108

Quantized semisimple Lie groups

Autores: Rita Fioresi, Robert Yuncken
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2403.17180

Variational quantum eigensolver for chemical molecules

Autores: Luca Ion, Adam Smith
Editor: Arxiv preprint
DOI: 10.48550/ARXIV.2512.22572

Peer reviewed articles (23)

Cartan moving frames and the data manifolds

Autores: Eliot Tron, Rita Fioresi, Nicolas Couëllan, Stéphane Puechmorel
Publicado en: Information Geometry, Edición 7, 2025, ISSN 2511-2481
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S41884-024-00159-8

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

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

The geometry of quantum computing

Autores: E. Ercolessi, R. Fioresi, T. Weber
Publicado en: International Journal of Geometric Methods in Modern Physics, Edición 21, 2024, ISSN 0219-8878
Editor: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S0219887824400115

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

Quantum Circuit for Imputation of Missing Data

Autores: Claudio Sanavio, Simone Tibaldi, Edoardo Tignone, Elisa Ercolessi
Publicado en: IEEE Transactions on Quantum Engineering, Edición 5, 2025, ISSN 2689-1808
Editor: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/TQE.2024.3447875

Three-Phase Confusion Learning

Autores: Filippo Caleca, Simone Tibaldi, Elisa Ercolessi
Publicado en: Entropy, Edición 27, 2025, ISSN 1099-4300
Editor: MDPI AG
DOI: 10.3390/E27020199

Differential Calculi on Quantum Principal Bundles Over Projective Bases

Autores: P. Aschieri, R. Fioresi, E. Latini, T. Weber
Publicado en: Communications in Mathematical Physics, Edición 405, 2024, 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

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: Differential Geometry and its Applications, Edición 94, 2024, ISSN 0926-2245
Editor: Elsevier BV
DOI: 10.1016/j.difgeo.2024.102125

Generalized root systems

Autores: Ivan Dimitrov, Rita Fioresi
Publicado en: Transactions of the American Mathematical Society, Series B, Edición 11, 2024, ISSN 2330-0000
Editor: American Mathematical Society (AMS)
DOI: 10.1090/btran/214

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

The geometry of quantum computing

Autores: E. Ercolessi, R. Fioresi, T. Weber
Publicado en: International Journal of Geometric Methods in Modern Physics, Edición 21, 2024, ISSN 0219-8878
Editor: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S0219887824400115

Quantum natural gradient optimizer on noisy platforms: Quantum approximate optimization algorithm as a case study

Autores: Federico Dell'Anna, Rafael Gómez-Lurbe, Armando Pérez, Elisa Ercolessi
Publicado en: Physical Review A, Edición 112, 2025, ISSN 2469-9926
Editor: American Physical Society (APS)
DOI: 10.1103/62WX-TVK5

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

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

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

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

Autores: M. Lapenna, A. Tsamos, F. Faglioni, R. Fioresi, F. Zanchetta, G. Bruno
Publicado en: Discover Applied Sciences, Edición 6, 2024, ISSN 3004-9261
Editor: Springer Science and Business Media LLC
DOI: 10.1007/s42452-024-05985-0

Equivariant localization in Batalin-Vilkovisky formalism

Autores: Alberto S. Cattaneo, Shuhan Jiang
Publicado en: Differential Geometry and its Applications, Edición 100, 2025, ISSN 0926-2245
Editor: Elsevier BV
DOI: 10.1016/J.DIFGEO.2025.102265

Dirac quantum walk on tetrahedra

Autores: Ugo Nzongani, Nathanaël Eon, Iván Márquez-Martín, Armando Pérez, Giuseppe Di Molfetta, Pablo Arrighi
Publicado en: Physical Review A, Edición 110, 2024, ISSN 2469-9926
Editor: American Physical Society (APS)
DOI: 10.1103/PHYSREVA.110.042418

3D Supergravity in the Batalin–Vilkovisky Formalism

Autores: A. S. Cattaneo, N. Moshayedi, A. Smailovic Funcasta
Publicado en: Annales Henri Poincaré, 2025, ISSN 1424-0637
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S00023-025-01588-6

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

Approximate inverse measurement channel for shallow shadows

Autores: Riccardo Cioli, Elisa Ercolessi, Matteo Ippoliti, Xhek Turkeshi, Lorenzo Piroli
Publicado en: Quantum, Edición 9, 2025, ISSN 2521-327X
Editor: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
DOI: 10.22331/Q-2025-04-08-1698

Conference proceedings (3)

Sheaf Diffusion Goes Nonlinear: Enhancing GNNs with Adaptive Sheaf Laplacians

Autores: Olga Zaghen, Antonio Longa, Steve Azzolin, Lev Telyatnikov, Andrea Passerini, Pietro Liò
Editor: Proceedings of Machine Learning Research

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

Revisiting Random Walks for Learning on Graphs

Autores: Jinwoo Kim, Olga Zaghen, Ayhan Suleymanzade, Youngmin Ryou, Seunghoon Hong
Editor: ICLR 2025

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