Time-warping invariants of multidimensional time series J Diehl, K Ebrahimi-Fard, N Tapia Acta Applicandae Mathematicae 170, 265–290, 2020 | 30 | 2020 |
The geometry of the space of branched Rough Paths N Tapia, L Zambotti Proceedings of the London Mathematical Society 121 (2), 220-251, 2020 | 25 | 2020 |
Hopf-algebraic deformations of products and Wick polynomials K Ebrahimi-Fard, F Patras, N Tapia, L Zambotti International Mathematics Research Notices 2020 (24), 10064–10099, 2020 | 17 | 2020 |
Unified signature cumulants and generalized Magnus expansions PK Friz, PP Hager, N Tapia Forum of Mathematics, Sigma 10, e42, 2022 | 12 | 2022 |
Signatures in Shape Analysis: an Efficient Approach to Motion Identification E Celledoni, PE Lystad, N Tapia Geometric Science of Information. GSI 2019, 21-30, 2019 | 10 | 2019 |
Tropical time series, iterated-sums signatures and quasisymmetric functions J Diehl, K Ebrahimi-Fard, N Tapia SIAM Journal on Applied Algebra and Geometry 6 (4), 563-599, 2022 | 9 | 2022 |
Transport and continuity equations with (very) rough noise C Bellingeri, A Djurdjevac, PK Friz, N Tapia SN Partial Differential Equations and Applications 2, 49, 2021 | 9 | 2021 |
Generalized iterated-sums signatures J Diehl, K Ebrahimi-Fard, N Tapia Journal of Algera 632, 801-824, 2023 | 7 | 2023 |
Stability of Deep Neural Networks via Discrete Rough Paths C Bayer, PK Friz, N Tapia SIAM Journal on Mathematics of Data Science 5 (1), 50-76, 2023 | 7 | 2023 |
Wick polynomials in non-commutative proabability: a group-theoretical approach K Ebrahimi-Fard, F Patras, N Tapia, L Zambotti Canadian Journal of Mathematics, First View, 1-27, 2021 | 6 | 2021 |
The moving frame method for iterated-integrals: orthogonal invariants J Diehl, R Preiß, M Ruddy, N Tapia Foundations of Computational Mathematics 23 (4), 1273–1333, 2023 | 4 | 2023 |
Iterated-sums signature, quasisymmetric functions and time series analysis J Diehl, K Ebrahimi-Fard, N Tapia Séminaire Lotharingien de Combinatoire, Art. #86, 2020 | 4 | 2020 |
Shifted substitution in non-commutative multivariate power series with a view toward free probability K Ebrahimi-Fard, F Patras, N Tapia, L Zambotti SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 19 …, 2023 | 3 | 2023 |
The geometry of controlled rough paths MG Varzaneh, S Riedel, A Schmeding, N Tapia arXiv preprint:2203.05946, 2022 | 3 | 2022 |
A multiplicative surface signature through its Magnus expansion I Chevyrev, J Diehl, K Ebrahimi-Fard, N Tapia arXiv preprint arXiv:2406.16856, 2024 | 1 | 2024 |
Free generators and Hoffman's isomorphism for the two-parameter shuffle algebra L Schmitz, N Tapia arXiv preprint arXiv:2401.06691, 2024 | 1 | 2024 |
Branched Itô Formula and natural Itô-Stratonovich isomorphism C Bellingeri, E Ferrucci, N Tapia arXiv preprint arXiv:2312.04523, 2023 | 1 | 2023 |