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Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 97 of 97 outbound references and 0 inbound Pith citation observations for arXiv:2607.13886.
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97 of 97 outbound references displayed
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Observation 5aa3c84b-88a9-48f1-8395-e3775d2fa3b9 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Martingale property and moment explosions in signature volatility models.arXiv Preprint: 2503.17103, 2025
Reference 1
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Observation 01105d8e-223b-4c97-8b8b-3ffa06a8824e · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Signature volatility models: pricing and hedging with Fourier.SIAM Journal on Financial Mathematics, 16(2):606–642, 2025
Reference 2
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Observation 1746e20f-0541-4cfc-a7f9-3fce6c43acd5 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Exponentially Fading Memory Signature
Reference 3
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Observation b00ce402-0ac0-49cc-959e-fff0fd2f12ca · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Cambridge University Press, 2019
Reference 4
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Observation 66cee82d-feb9-4050-bdf4-45a7630aef8d · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Agrachev and Yuri L
Reference 5
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Observation c66586dc-7632-4180-a8c7-06ad6c13afc0 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Rough differential equations containing path-dependent bounded variation terms.Journal of Theoretical Probability, 37(3):2130–2183, 2024
Reference 6
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Observation c8a6fb6e-5073-4650-8265-442ffb7f8765 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Aliprantis and Kim C
Reference 7
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Observation a698c8b5-45a8-47c6-9f49-40d848f63b59 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Rough differential equations with path-dependent coefficients.Annales Henri Lebesgue, 6:1–29, 2023
Reference 8
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Observation 4e9bee99-cdb6-46ac-9dfc-ecba662e25ad · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Path dependent equations driven by H¨ older processes.Stochastic Analysis and Applications, 37(3):480–498, 2019
Reference 9
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Observation 452360b9-a65f-45ca-91df-95d7ad139f5d · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Sig-SDEs model for quantitative finance
Reference 10
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Observation 37e5f422-8d35-4e92-a864-4cd8dcb69525 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Asmar and Loukas Grafakos.Complex Analysis with Applications
Reference 11
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Observation 05e32e50-8357-479a-bdcd-7ee4dc756bd4 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Baum and Ted Petrie
Reference 12
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Observation 92ad23dd-ba37-4402-805f-0da4c01c24da · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Hager, Sebastian Riedel, and John Schoenmakers
Reference 13
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Observation 72deafde-c704-4ed2-8c26-d27986bf23b6 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations An introduction to tensors for path signatures
Reference 14
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Observation e4f30556-0cab-4e96-8055-87b28cd6ac7f · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Friz, Sylvie Paycha, and Rosa Preiß
Reference 15
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Observation 454b91a2-83e2-4e69-b226-4c5d928f975b · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Delfour, and Sanjoy K
Reference 16
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Observation 22e6d94b-a0f5-45c6-9a84-6e5b921891cc · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations.Acta Mathematica Hungarica, 7(1):81–94, 1956
Reference 17
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Observation 1be4623c-7978-4df9-b2e3-c7e14795e5e9 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations SL2(R)-developments and signature asymptotics for planar paths with bounded variation.Rev
Reference 18
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Observation 9bd719d3-a9fc-4552-a100-8e635f730bca · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 19
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Observation 7486f98e-b85d-4eec-8c72-6042dfac38c7 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Zur Theorie der elastischen Nachwirkung.Sitzungsberichte der Kaiser- lichen Akademie der Wissenschaften, 70:275–306, 1874
Reference 20
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Observation 41b6ccb5-e9e6-48f7-a30b-0e7df1d9434b · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Brockett
Reference 21
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Observation a7984069-2624-4bff-9bd9-cbd903c25734 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 22
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Observation a2b3cf5a-0b67-4725-901f-0da3c91b9e3d · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Iterated integrals and exponential homomorphisms.Proceedings of the London Mathematical Society, 3(1):502–512, 1954
Reference 23
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Observation c8ee0381-87e3-4d95-8f38-fd555a4afc7a · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula.Annals of Mathematics, 65(1):163–178, 1957
Reference 24
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Observation 0247519a-5fc5-44fb-b08a-d82731013c0e · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Iterated path integrals.Bulletin of the American Mathematical Society, 83(5):831–879, 1977
Reference 25
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Observation 93a1f7e2-9c3a-41bd-9edf-7f9756784dae · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations A primer on the signature method in machine learning.arXiv preprint arXiv:1603.03788, 2016
Reference 26
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Observation c8b93e86-da37-4a83-8e9e-4346a2eec6af · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Characteristic functions of measures on geometric rough paths.Ann
Reference 27
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Observation f0bc6b32-a349-41e0-a69e-f8202708d0d0 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Functional Itˆ o calculus and stochastic integral representation of martingales.Ann
Reference 28
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Observation c0827b1e-7ef4-4071-b232-8a856fb07b68 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations On the support of solutions to stochastic differential equations with path-dependent coefficients.Stochastic Processes Appl., 130(5):2639–2674, 2020
Reference 29
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Observation e41d44d1-2710-48e3-ad11-7be646c8afff · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Sur certaines ´ equations fonctionnelles de Volterra.Funkc
Reference 30
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Observation e1173459-60ab-4027-8ef2-391a92137835 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Joint calibration to SPX and VIX options with signature-based models.Mathematical Finance, 35(1):161–213, 2025
Reference 31
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Observation 0e13a27d-e5b1-4504-87f1-68a5146c7bad · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Signature-based models: theory and calibration.SIAM Journal on Financial Mathematics, 14(3):910–957, 2023
Reference 32
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Observation 909d9757-4cb9-46a7-97b0-e4d8d39fc8f1 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Signature methods in stochastic portfolio theory.SIAM Journal on Financial Mathematics, 16(4):1239–1303, 2025
Reference 33
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Observation d6b7ce73-c55e-4fcf-90e2-f8453f0be2e1 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Universal approximation theorems for continuous functions of c` adl` ag paths and L´ evy-type signature models.Finance and Stochastics, 29(2):289–342, 2025
Reference 34
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Observation eaf23109-01d8-4e5a-885c-c0debb76afe0 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Global universal approximation of functional input maps on weighted spaces.Constructive Approximation, pages 1–76, 2026
Reference 35
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Observation c3df1d73-01dd-4f53-87f8-46537c892e44 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Signature SDEs from an affine and polynomial perspective.forthcoming in the Electronic Journal of Probability, 2026
Reference 36
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Observation c2fd927e-9cf1-4b20-99b1-117a4467a26a · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations A Semigroup Point Of View On Splitting Schemes For Stochastic (Partial) Differential Equations
Reference 37
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Observation f2cdd95b-2e4f-4aae-a583-18a822988d42 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 38
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Observation 265495df-3784-4259-8c99-922261695b50 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Duffaut Espinosa, Kurusch Ebrahimi-Fard, W
Reference 39
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Observation 15ee8bcb-e13f-4ff5-8040-fe477572fc4f · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Functional Itˆ o calculus.Quantitative Finance, 19(5):721–729, 2019
Reference 40
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Observation a098e32d-f050-4303-a281-50a321726c63 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 41
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Observation 27f76106-e9aa-4923-be9b-0c37e5ded7ab · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Fonctionnelles causales non lin´ eaires et ind´ etermin´ ees non commutatives
Reference 42
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Observation 0effed3d-2f29-4265-8471-d55f0dc71f45 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 43
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Observation 741b0d47-b197-47cd-82fa-cfe578d3d11c · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Columbia University, 2010
Reference 44
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Observation 823ebe88-1494-4a00-bc7d-b2843e064e56 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Expected Signature Kernels for L\'evy Rough Paths
Reference 45
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Observation 5bc7efcf-a3e4-4067-a3c9-fe22de5d1f1c · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Friz and Martin Hairer.A Course on Rough Paths
Reference 46
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Observation 0dfb97a2-9f35-4ec1-a959-59112f813477 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Friz and Nicolas B
Reference 47
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Observation 235152b4-5ee1-48fe-a37c-b478654c8acf · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Kilbas, Francesco Mainardi, and Sergei V
Reference 48
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Observation 7cf7b7ec-d616-4dd2-8788-3214e94d6b40 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Hale and M.A
Reference 49
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Observation bce4b5f0-53ef-4914-b671-fd257f502197 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Hale and Sjoerd M
Reference 50
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Observation 75186a4c-bf41-464a-a01c-c8728b5a8038 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations A neural RDE approach for continuous- time non-Markovian stochastic control problems
Reference 51
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Observation 60c65ff7-9a1d-446a-8b1b-9a041eed2beb · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Evelyn Hutchinson
Reference 52
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Observation 41b5584a-0aeb-47d5-804c-4885c2c3fc3e · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Generalized ordinary differential equations in Banach spaces and applications to functional equations.Bol
Reference 53
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Observation 7ee268b5-15fc-4f98-9f01-788d3a09e293 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations A uniformly differentiable approximation scheme for delay systems using splines.Applied Mathematics and Optimization, 23(3):217–262, 1991
Reference 54
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Observation b99e6ba1-8a30-45a6-a1f6-ce0c429cac57 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Stephen Jones
Reference 55
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Observation adfc534c-c0a5-41b3-9441-5b2c60c4e43c · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 56
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Observation 45020cfa-364a-48ed-b984-e82bc9c12499 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Sussmann
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Observation cd3929b3-f8ba-4373-b8b2-44d37d6cbc87 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Littman, and Anthony R
Reference 58
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Observation 6e659d7b-777d-4a84-9b3b-e0edfefb0f8e · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 59
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Observation e61f23e8-51b7-46db-aba8-eefa2f906815 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Optimal execution with rough path signatures.SIAM Journal on Financial Mathematics, 11(2):470–493, 2020
Reference 60
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Observation 90ac025e-9ac2-430d-8868-64f3d3c8732e · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Spline approximation for retarded systems and the Riccati equation.SIAM Journal on Control and Optimization, 25(4):1082–1117, 1987
Reference 61
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Observation fe06d9f8-717e-49be-925f-f2bccfc34a05 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations On the stability properties of spline approximations for retarded systems.SIAM Journal on Control and Optimization, 27(2):407–431, 1989
Reference 62
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Observation 610e71d4-e24a-4b76-8037-8cdf429014ef · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations McKendrick
Reference 63
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Observation b59b1351-bbb6-45fc-941f-4d9c79e843b5 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Neural controlled differential equations for irregular time series
Reference 64
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Observation b139e409-5e77-41f8-a8c2-fddfa597ff50 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations I., volume 159 ofGrundlehren Math
Reference 65
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Observation 301b6dd9-c28c-406a-9147-848a0b5223da · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Optimal Estimation of Generic Dynamics by Path-Dependent Neural Jump ODEs
Reference 66
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Observation 2982686d-d3e8-4b17-8249-05524c33e7ce · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Kwossek, Andreas Neuenkirch, and David J
Reference 67
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Observation 65c34b0c-9891-474a-b6be-62b8b16d54c0 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 68
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Observation 1e997122-da66-474d-9183-d9efc4bd1d6d · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Space of signatures as inverse limits of Carnot groups
Reference 69
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Observation 832ee50c-00b0-4510-af21-dab24741f03d · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Lee.Introduction to Smooth Manifolds, volume 218 ofGraduate Texts in Mathe- matics
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Observation 3891eb61-b530-4802-8469-f828535fdd7a · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Oxford University Press, 2002
Reference 71
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Observation 46a81efb-3f70-4743-934d-c01f88f4aa7a · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Differential equations driven by rough signals.Revista Matem´ atica Iberoamer- icana, 14(2):215–310, 1998
Reference 72
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Observation 147d57a8-abbc-4378-a1cd-b6f06d7b607e · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Lyons, Michael J
Reference 73
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Observation ff16e974-0ddd-428d-85a5-15a692fdb60a · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations On Lipschitz vector fields and the Cauchy problem in homogeneous groups.Communications in Contemporary Mathematics, 20(05):1750057, 2018
Reference 74
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Observation 5e6545f4-4d02-4c5f-bd0c-d40e0cc1740d · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations edition, 2007
Reference 75
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Observation 0d814fc5-8e05-4a09-b63a-645bfc1a7d62 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 76
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Observation 234f5da5-856d-4b61-b2e8-fb5a042ed278 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Directional stability of automatically steered bodies.Journal of the American Society for Naval Engineers, 34(2):280–309, 1922
Reference 77
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Observation 60c32850-12d5-4b63-b96f-00dfa26d680d · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 78
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Observation 8b1f3931-becf-4198-8a82-36817fd868f1 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Neural rough differential equations for long time series
Reference 79
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Observation 85418bc3-b22e-4811-b725-85ca821bcf58 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Munkres.Topology.Upper Saddle River, NJ: Prentice Hall, 2nd edition, 2000
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Observation 619ca9c5-db23-4e22-bcf1-7cc107d8955a · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 81
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Observation e62e94fe-0b5d-41bb-a85a-86e6df5d4756 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Parameter estimation for rough differential equations.Ann
Reference 82
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Observation f642c91e-9114-4e49-bfaf-466498c748a8 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Learning non-Markovian dynamical systems with signature-based encoders
Reference 83
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Observation 123e492a-79e3-4d15-a8ab-f0403dba20e2 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Protter.Stochastic Integration and Differential Equations, volume 21 ofAppl
Reference 84
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Observation 139ab887-35ae-48ce-b621-8f2222a78aeb · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Lie elements and an algebra associated with shuffles.Annals of Mathematics, 68(2):210–220, 1958
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Observation ce7bd7cf-36ea-4a16-911f-e69b39d0064e · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Oxford University Press, 1993
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Observation 96164e7e-58a6-413d-95fc-559d0fb2595e · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work
Reference 87
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Observation c1d931ee-0072-4b10-91d6-8bff747c7f12 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Der Fixpunktsatz in Funktionalra¨ umen.Studia Mathematica, 2(1):171–180, 1930
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Observation 03e38489-70b3-4268-a661-0990993e5a2c · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Cambridge University Press, 2022
Reference 89
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Observation 90e32072-6a4e-4c83-bc3f-f7126d44eb16 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Path-Dependent SDEs: Solutions and Parameter Estimation
Reference 90
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Observation 190c77df-45ba-4d63-8903-0ddaae462f6e · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Sussmann
Reference 91
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Observation 0028be5f-be89-45a3-a007-badc6e624c3c · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Sutton and Andrew G
Reference 92
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Observation d35c8a3d-b6f9-4397-86b4-88c94f8dc90b · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Cambridge University Press, 2022
Reference 93
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Observation 3fa41243-5ff4-404f-ad25-318569fde2d9 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Sulle equazioni integro-differenziali della theoria dell’elasticit` a.Atti Reale Accad
Reference 94
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Observation b745219a-cb40-44a2-908b-20afffd2a0b5 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Gauthier-Villars, 1913
Reference 95
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Observation 8b85650a-da76-430c-9c1f-f7afd2929d93 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Sur la th´ eorie math´ ematique des ph´ enom` enes h´ er´ editaires.Journal de math´ ematiques pures et appliqu´ ees, 7:249–298, 1928
Reference 96
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Observation 1ebbf110-0983-4a21-8894-d8f7a6882994 · outbound
Dynamic Universal Approximation via Signature Controlled Differential Equations Log neural controlled differential equations: The Lie brackets make a difference
Reference 97
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No inbound Pith citation observations are available.