Pith. sign in

Paper Citation Record · LEDGER

Dynamic Universal Approximation via Signature Controlled Differential Equations

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.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.13886 v1

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measured 97 of 97 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T03:40:22.217092Z

measured 97 of 97 standing notices

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97 of 97 outbound references displayed

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Outbound references

Observation 5aa3c84b-88a9-48f1-8395-e3775d2fa3b9 · outbound

This paper cites Martingale property and moment explosions in signature volatility models.arXiv Preprint: 2503.17103, 2025.

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

This paper cites Signature volatility models: pricing and hedging with Fourier.SIAM Journal on Financial Mathematics, 16(2):606–642, 2025.

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

This paper cites Exponentially Fading Memory Signature.

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

This paper cites Cambridge University Press, 2019.

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

This paper cites Agrachev and Yuri L.

Dynamic Universal Approximation via Signature Controlled Differential Equations Agrachev and Yuri L

Reference 5

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source=pdf_text observed=2026-08-02T03:40:12.866089Z digest=sha256:7a53856d48db54fdda8714e412492edc6bf2b73167a1b01cca4a8671fd19936c

Observation c66586dc-7632-4180-a8c7-06ad6c13afc0 · outbound

This paper cites Rough differential equations containing path-dependent bounded variation terms.Journal of Theoretical Probability, 37(3):2130–2183, 2024.

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

This paper cites Aliprantis and Kim C.

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

This paper cites Rough differential equations with path-dependent coefficients.Annales Henri Lebesgue, 6:1–29, 2023.

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

This paper cites Path dependent equations driven by H¨ older processes.Stochastic Analysis and Applications, 37(3):480–498, 2019.

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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source=pdf_text observed=2026-08-02T03:40:13.226155Z digest=sha256:1f5f3d584335caa0083eaa1b73c44477d988d0a97527fb6d74e2c7cbc9734377

Observation 452360b9-a65f-45ca-91df-95d7ad139f5d · outbound

This paper cites Sig-SDEs model for quantitative finance.

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

This paper cites Asmar and Loukas Grafakos.Complex Analysis with Applications.

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

This paper cites Baum and Ted Petrie.

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

This paper cites Hager, Sebastian Riedel, and John Schoenmakers.

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

This paper cites An introduction to tensors for path signatures.

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

This paper cites Friz, Sylvie Paycha, and Rosa Preiß.

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

This paper cites Delfour, and Sanjoy K.

Dynamic Universal Approximation via Signature Controlled Differential Equations Delfour, and Sanjoy K

Reference 16

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source=pdf_text observed=2026-08-02T03:40:14.181088Z digest=sha256:36ee73bfb75afa0355239693a1cef8d8d7bc8d10549d0d56df5a14583e650d97

Observation 22e6d94b-a0f5-45c6-9a84-6e5b921891cc · outbound

This paper cites A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations.Acta Mathematica Hungarica, 7(1):81–94, 1956.

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

This paper cites SL2(R)-developments and signature asymptotics for planar paths with bounded variation.Rev.

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

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Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work

Reference 19

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Observation 7486f98e-b85d-4eec-8c72-6042dfac38c7 · outbound

This paper cites Zur Theorie der elastischen Nachwirkung.Sitzungsberichte der Kaiser- lichen Akademie der Wissenschaften, 70:275–306, 1874.

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

This paper cites Brockett.

Dynamic Universal Approximation via Signature Controlled Differential Equations Brockett

Reference 21

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Observation a7984069-2624-4bff-9bd9-cbd903c25734 · outbound

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Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-02T03:40:14.811793Z digest=sha256:010ec26bd6102004bf78f96e0ace8069afa859edc7ff8d4a531176548bcd6e08

Observation a2b3cf5a-0b67-4725-901f-0da3c91b9e3d · outbound

This paper cites Iterated integrals and exponential homomorphisms.Proceedings of the London Mathematical Society, 3(1):502–512, 1954.

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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source=pdf_text observed=2026-08-02T03:40:14.920671Z digest=sha256:fbb75af4ad00cb77706b289856186e73a334515d13ab52e95350d5dd29159851

Observation c8ee0381-87e3-4d95-8f38-fd555a4afc7a · outbound

This paper cites Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula.Annals of Mathematics, 65(1):163–178, 1957.

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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source=pdf_text observed=2026-08-02T03:40:15.039497Z digest=sha256:6eccfa07a1373a02c1a367d1fb83bfbbec1425849142718d7e17ec3ad3138b32

Observation 0247519a-5fc5-44fb-b08a-d82731013c0e · outbound

This paper cites Iterated path integrals.Bulletin of the American Mathematical Society, 83(5):831–879, 1977.

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

This paper cites A primer on the signature method in machine learning.arXiv preprint arXiv:1603.03788, 2016.

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

This paper cites Characteristic functions of measures on geometric rough paths.Ann.

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

This paper cites Functional Itˆ o calculus and stochastic integral representation of martingales.Ann.

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

This paper cites On the support of solutions to stochastic differential equations with path-dependent coefficients.Stochastic Processes Appl., 130(5):2639–2674, 2020.

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

This paper cites Sur certaines ´ equations fonctionnelles de Volterra.Funkc.

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

This paper cites Joint calibration to SPX and VIX options with signature-based models.Mathematical Finance, 35(1):161–213, 2025.

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

This paper cites Signature-based models: theory and calibration.SIAM Journal on Financial Mathematics, 14(3):910–957, 2023.

Dynamic Universal Approximation via Signature Controlled Differential Equations Signature-based models: theory and calibration.SIAM Journal on Financial Mathematics, 14(3):910–957, 2023

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Observation 909d9757-4cb9-46a7-97b0-e4d8d39fc8f1 · outbound

This paper cites Signature methods in stochastic portfolio theory.SIAM Journal on Financial Mathematics, 16(4):1239–1303, 2025.

Dynamic Universal Approximation via Signature Controlled Differential Equations Signature methods in stochastic portfolio theory.SIAM Journal on Financial Mathematics, 16(4):1239–1303, 2025

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source=pdf_text observed=2026-08-02T03:40:16.070398Z digest=sha256:2564c0e31d5332bfe7659324629e8cbf621f4211ff0372eeeea21743cd40909d

Observation d6b7ce73-c55e-4fcf-90e2-f8453f0be2e1 · outbound

This paper cites 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.

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

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Observation eaf23109-01d8-4e5a-885c-c0debb76afe0 · outbound

This paper cites Global universal approximation of functional input maps on weighted spaces.Constructive Approximation, pages 1–76, 2026.

Dynamic Universal Approximation via Signature Controlled Differential Equations Global universal approximation of functional input maps on weighted spaces.Constructive Approximation, pages 1–76, 2026

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Observation c3df1d73-01dd-4f53-87f8-46537c892e44 · outbound

This paper cites Signature SDEs from an affine and polynomial perspective.forthcoming in the Electronic Journal of Probability, 2026.

Dynamic Universal Approximation via Signature Controlled Differential Equations Signature SDEs from an affine and polynomial perspective.forthcoming in the Electronic Journal of Probability, 2026

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Observation c2fd927e-9cf1-4b20-99b1-117a4467a26a · outbound

This paper cites A Semigroup Point Of View On Splitting Schemes For Stochastic (Partial) Differential Equations.

Dynamic Universal Approximation via Signature Controlled Differential Equations A Semigroup Point Of View On Splitting Schemes For Stochastic (Partial) Differential Equations

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Observation 265495df-3784-4259-8c99-922261695b50 · outbound

This paper cites Duffaut Espinosa, Kurusch Ebrahimi-Fard, W.

Dynamic Universal Approximation via Signature Controlled Differential Equations Duffaut Espinosa, Kurusch Ebrahimi-Fard, W

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Observation 15ee8bcb-e13f-4ff5-8040-fe477572fc4f · outbound

This paper cites Functional Itˆ o calculus.Quantitative Finance, 19(5):721–729, 2019.

Dynamic Universal Approximation via Signature Controlled Differential Equations Functional Itˆ o calculus.Quantitative Finance, 19(5):721–729, 2019

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Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work

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This paper cites Fonctionnelles causales non lin´ eaires et ind´ etermin´ ees non commutatives.

Dynamic Universal Approximation via Signature Controlled Differential Equations Fonctionnelles causales non lin´ eaires et ind´ etermin´ ees non commutatives

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Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work

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This paper cites Columbia University, 2010.

Dynamic Universal Approximation via Signature Controlled Differential Equations Columbia University, 2010

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Observation 823ebe88-1494-4a00-bc7d-b2843e064e56 · outbound

This paper cites Expected Signature Kernels for L\'evy Rough Paths.

Dynamic Universal Approximation via Signature Controlled Differential Equations Expected Signature Kernels for L\'evy Rough Paths

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Observation 5bc7efcf-a3e4-4067-a3c9-fe22de5d1f1c · outbound

This paper cites Friz and Martin Hairer.A Course on Rough Paths.

Dynamic Universal Approximation via Signature Controlled Differential Equations Friz and Martin Hairer.A Course on Rough Paths

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Observation 0dfb97a2-9f35-4ec1-a959-59112f813477 · outbound

This paper cites Friz and Nicolas B.

Dynamic Universal Approximation via Signature Controlled Differential Equations Friz and Nicolas B

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Observation 235152b4-5ee1-48fe-a37c-b478654c8acf · outbound

This paper cites Kilbas, Francesco Mainardi, and Sergei V.

Dynamic Universal Approximation via Signature Controlled Differential Equations Kilbas, Francesco Mainardi, and Sergei V

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This paper cites Hale and M.A.

Dynamic Universal Approximation via Signature Controlled Differential Equations Hale and M.A

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This paper cites Hale and Sjoerd M.

Dynamic Universal Approximation via Signature Controlled Differential Equations Hale and Sjoerd M

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Observation 75186a4c-bf41-464a-a01c-c8728b5a8038 · outbound

This paper cites A neural RDE approach for continuous- time non-Markovian stochastic control problems.

Dynamic Universal Approximation via Signature Controlled Differential Equations A neural RDE approach for continuous- time non-Markovian stochastic control problems

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Observation 60c65ff7-9a1d-446a-8b1b-9a041eed2beb · outbound

This paper cites Evelyn Hutchinson.

Dynamic Universal Approximation via Signature Controlled Differential Equations Evelyn Hutchinson

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Observation 41b5584a-0aeb-47d5-804c-4885c2c3fc3e · outbound

This paper cites Generalized ordinary differential equations in Banach spaces and applications to functional equations.Bol.

Dynamic Universal Approximation via Signature Controlled Differential Equations Generalized ordinary differential equations in Banach spaces and applications to functional equations.Bol

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Observation 7ee268b5-15fc-4f98-9f01-788d3a09e293 · outbound

This paper cites A uniformly differentiable approximation scheme for delay systems using splines.Applied Mathematics and Optimization, 23(3):217–262, 1991.

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

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Observation b99e6ba1-8a30-45a6-a1f6-ce0c429cac57 · outbound

This paper cites Stephen Jones.

Dynamic Universal Approximation via Signature Controlled Differential Equations Stephen Jones

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Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work

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This paper cites Sussmann.

Dynamic Universal Approximation via Signature Controlled Differential Equations Sussmann

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Observation cd3929b3-f8ba-4373-b8b2-44d37d6cbc87 · outbound

This paper cites Littman, and Anthony R.

Dynamic Universal Approximation via Signature Controlled Differential Equations Littman, and Anthony R

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Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work

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Observation e61f23e8-51b7-46db-aba8-eefa2f906815 · outbound

This paper cites Optimal execution with rough path signatures.SIAM Journal on Financial Mathematics, 11(2):470–493, 2020.

Dynamic Universal Approximation via Signature Controlled Differential Equations Optimal execution with rough path signatures.SIAM Journal on Financial Mathematics, 11(2):470–493, 2020

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Observation 90ac025e-9ac2-430d-8868-64f3d3c8732e · outbound

This paper cites Spline approximation for retarded systems and the Riccati equation.SIAM Journal on Control and Optimization, 25(4):1082–1117, 1987.

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

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Observation fe06d9f8-717e-49be-925f-f2bccfc34a05 · outbound

This paper cites On the stability properties of spline approximations for retarded systems.SIAM Journal on Control and Optimization, 27(2):407–431, 1989.

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

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Observation 610e71d4-e24a-4b76-8037-8cdf429014ef · outbound

This paper cites McKendrick.

Dynamic Universal Approximation via Signature Controlled Differential Equations McKendrick

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Observation b59b1351-bbb6-45fc-941f-4d9c79e843b5 · outbound

This paper cites Neural controlled differential equations for irregular time series.

Dynamic Universal Approximation via Signature Controlled Differential Equations Neural controlled differential equations for irregular time series

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Observation b139e409-5e77-41f8-a8c2-fddfa597ff50 · outbound

This paper cites I., volume 159 ofGrundlehren Math.

Dynamic Universal Approximation via Signature Controlled Differential Equations I., volume 159 ofGrundlehren Math

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Observation 301b6dd9-c28c-406a-9147-848a0b5223da · outbound

This paper cites Optimal Estimation of Generic Dynamics by Path-Dependent Neural Jump ODEs.

Dynamic Universal Approximation via Signature Controlled Differential Equations Optimal Estimation of Generic Dynamics by Path-Dependent Neural Jump ODEs

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Observation 2982686d-d3e8-4b17-8249-05524c33e7ce · outbound

This paper cites Kwossek, Andreas Neuenkirch, and David J.

Dynamic Universal Approximation via Signature Controlled Differential Equations Kwossek, Andreas Neuenkirch, and David J

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Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work

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Observation 1e997122-da66-474d-9183-d9efc4bd1d6d · outbound

This paper cites Space of signatures as inverse limits of Carnot groups.

Dynamic Universal Approximation via Signature Controlled Differential Equations Space of signatures as inverse limits of Carnot groups

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Observation 832ee50c-00b0-4510-af21-dab24741f03d · outbound

This paper cites Lee.Introduction to Smooth Manifolds, volume 218 ofGraduate Texts in Mathe- matics.

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

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Dynamic Universal Approximation via Signature Controlled Differential Equations Oxford University Press, 2002

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Observation 46a81efb-3f70-4743-934d-c01f88f4aa7a · outbound

This paper cites Differential equations driven by rough signals.Revista Matem´ atica Iberoamer- icana, 14(2):215–310, 1998.

Dynamic Universal Approximation via Signature Controlled Differential Equations Differential equations driven by rough signals.Revista Matem´ atica Iberoamer- icana, 14(2):215–310, 1998

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Observation 147d57a8-abbc-4378-a1cd-b6f06d7b607e · outbound

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Dynamic Universal Approximation via Signature Controlled Differential Equations Lyons, Michael J

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Observation ff16e974-0ddd-428d-85a5-15a692fdb60a · outbound

This paper cites On Lipschitz vector fields and the Cauchy problem in homogeneous groups.Communications in Contemporary Mathematics, 20(05):1750057, 2018.

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

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Observation 5e6545f4-4d02-4c5f-bd0c-d40e0cc1740d · outbound

This paper cites edition, 2007.

Dynamic Universal Approximation via Signature Controlled Differential Equations edition, 2007

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Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work

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source=pdf_text observed=2026-08-02T03:40:21.043141Z digest=sha256:9369b9b93e95dde5e4add8724002b33eec86764216c60b81f3de73939402aaf4

Observation 234f5da5-856d-4b61-b2e8-fb5a042ed278 · outbound

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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

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Observation 60c32850-12d5-4b63-b96f-00dfa26d680d · outbound

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Observation 8b1f3931-becf-4198-8a82-36817fd868f1 · outbound

This paper cites Neural rough differential equations for long time series.

Dynamic Universal Approximation via Signature Controlled Differential Equations Neural rough differential equations for long time series

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Observation 85418bc3-b22e-4811-b725-85ca821bcf58 · outbound

This paper cites Munkres.Topology.Upper Saddle River, NJ: Prentice Hall, 2nd edition, 2000.

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

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Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work

Reference 81

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Observation e62e94fe-0b5d-41bb-a85a-86e6df5d4756 · outbound

This paper cites Parameter estimation for rough differential equations.Ann.

Dynamic Universal Approximation via Signature Controlled Differential Equations Parameter estimation for rough differential equations.Ann

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Observation f642c91e-9114-4e49-bfaf-466498c748a8 · outbound

This paper cites Learning non-Markovian dynamical systems with signature-based encoders.

Dynamic Universal Approximation via Signature Controlled Differential Equations Learning non-Markovian dynamical systems with signature-based encoders

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Observation 123e492a-79e3-4d15-a8ab-f0403dba20e2 · outbound

This paper cites Protter.Stochastic Integration and Differential Equations, volume 21 ofAppl.

Dynamic Universal Approximation via Signature Controlled Differential Equations Protter.Stochastic Integration and Differential Equations, volume 21 ofAppl

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source=pdf_text observed=2026-08-02T03:40:21.312470Z digest=sha256:2ab4f154a6a81841634cd432a14c53a4910fccd02840ce95417663cf8c3d8ed9

Observation 139ab887-35ae-48ce-b621-8f2222a78aeb · outbound

This paper cites Lie elements and an algebra associated with shuffles.Annals of Mathematics, 68(2):210–220, 1958.

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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source=pdf_text observed=2026-08-02T03:40:21.358442Z digest=sha256:cd7beafc588c8b9c1840a3acd85cf1fa79d480b115022ff9e0d9dffdd20b0279

Observation ce7bd7cf-36ea-4a16-911f-e69b39d0064e · outbound

This paper cites Oxford University Press, 1993.

Dynamic Universal Approximation via Signature Controlled Differential Equations Oxford University Press, 1993

Reference 86

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source=pdf_text observed=2026-08-02T03:40:21.399633Z digest=sha256:33bdfa263d2ffc9d5832147068b30043a69ebaf7ca104e59e4ae128c2923e229

Observation 96164e7e-58a6-413d-95fc-559d0fb2595e · outbound

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Dynamic Universal Approximation via Signature Controlled Differential Equations Unresolved cited work

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source=pdf_text observed=2026-08-02T03:40:21.426101Z digest=sha256:22e1164c068a9d0ffde303f703e6cb3858e31d5f38c8e0e4e6a15f980b52387d

Observation c1d931ee-0072-4b10-91d6-8bff747c7f12 · outbound

This paper cites Der Fixpunktsatz in Funktionalra¨ umen.Studia Mathematica, 2(1):171–180, 1930.

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

This paper cites Cambridge University Press, 2022.

Dynamic Universal Approximation via Signature Controlled Differential Equations Cambridge University Press, 2022

Reference 89

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source=pdf_text observed=2026-08-02T03:40:21.522029Z digest=sha256:4a41ad372420e111bfbfd2d2385d8917856b1d2520690b586f2cf57a4a1fb53d

Observation 90e32072-6a4e-4c83-bc3f-f7126d44eb16 · outbound

This paper cites Path-Dependent SDEs: Solutions and Parameter Estimation.

Dynamic Universal Approximation via Signature Controlled Differential Equations Path-Dependent SDEs: Solutions and Parameter Estimation

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source=pdf_text observed=2026-08-02T03:40:21.607130Z digest=sha256:8948d5a46c047735a5b90380329b3b03d6f841242f466ddf52766ab331d406e8

Observation 190c77df-45ba-4d63-8903-0ddaae462f6e · outbound

This paper cites Sussmann.

Dynamic Universal Approximation via Signature Controlled Differential Equations Sussmann

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source=pdf_text observed=2026-08-02T03:40:21.696427Z digest=sha256:c4fe428c83640b84833032ab67b9d5a3e749d7a416d8cfbbca9d7c877b21d17d

Observation 0028be5f-be89-45a3-a007-badc6e624c3c · outbound

This paper cites Sutton and Andrew G.

Dynamic Universal Approximation via Signature Controlled Differential Equations Sutton and Andrew G

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Observation d35c8a3d-b6f9-4397-86b4-88c94f8dc90b · outbound

This paper cites Cambridge University Press, 2022.

Dynamic Universal Approximation via Signature Controlled Differential Equations Cambridge University Press, 2022

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source=pdf_text observed=2026-08-02T03:40:21.858095Z digest=sha256:69a3eb1f6d230ffd6b78938b34e9f446726949f3ec37a0fa94ff49f7225ef14e

Observation 3fa41243-5ff4-404f-ad25-318569fde2d9 · outbound

This paper cites Sulle equazioni integro-differenziali della theoria dell’elasticit` a.Atti Reale Accad.

Dynamic Universal Approximation via Signature Controlled Differential Equations Sulle equazioni integro-differenziali della theoria dell’elasticit` a.Atti Reale Accad

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source=pdf_text observed=2026-08-02T03:40:21.951225Z digest=sha256:ae7ee87bf3667630774cd9567ac1d46b583ad1ee17db0f63c29f18c4de3a3478

Observation b745219a-cb40-44a2-908b-20afffd2a0b5 · outbound

This paper cites Gauthier-Villars, 1913.

Dynamic Universal Approximation via Signature Controlled Differential Equations Gauthier-Villars, 1913

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source=pdf_text observed=2026-08-02T03:40:22.021303Z digest=sha256:2a87cef5ba76d09352311666787411032e7209b96e52b00a30c1a19ab275e070

Observation 8b85650a-da76-430c-9c1f-f7afd2929d93 · outbound

This paper cites 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.

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

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source=pdf_text observed=2026-08-02T03:40:22.120634Z digest=sha256:9854ea771cd18127f21bd7c0224fe031121a415bcf2e32f661be153e081badae

Observation 1ebbf110-0983-4a21-8894-d8f7a6882994 · outbound

This paper cites Log neural controlled differential equations: The Lie brackets make a difference.

Dynamic Universal Approximation via Signature Controlled Differential Equations Log neural controlled differential equations: The Lie brackets make a difference

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