Paper Citation Record · LEDGER

Learning with Expected Signatures: Theory and Applications

As of 9 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2505.20465.

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

pith.paper-citation-record.v1
2505.20465 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:07:11.686603Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T19:28:16.659393Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-10T22:55:51.791695Z

Reference resolution

41 of 41 outbound references displayed

verified exact7
verified fuzzy11
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cc54ae28-f87d-4317-bbf1-20b1c92bb326 · outbound

This paper cites write newline.

Learning with Expected Signatures: Theory and Applications write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:07.357305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c76b4497-4598-41d4-8076-9d8b8f03c3d9 · outbound

This paper cites Deep Hedging: Learning to Remove the Drift under Trading Frictions with Minimal Equivalent Near-Martingale Measures.

Learning with Expected Signatures: Theory and Applications Deep Hedging: Learning to Remove the Drift under Trading Frictions with Minimal Equivalent Near-Martingale Measures

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:07.500432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82900f1e-a9d4-4e07-a1fa-8de8cb82989e · outbound

This paper cites L., Davis, B., and Gundy, R.

Learning with Expected Signatures: Theory and Applications L., Davis, B., and Gundy, R

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:07.611972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5fe918ae-a4e3-4c21-b067-486dafc1051c · outbound

This paper cites Iterated Integrals and Exponential Homomorphisms.

Learning with Expected Signatures: Theory and Applications Iterated Integrals and Exponential Homomorphisms

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:07.725428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49ab6ec5-f1e4-403f-8b7a-cccb61252501 · outbound

This paper cites and Lyons, T.

Learning with Expected Signatures: Theory and Applications and Lyons, T

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:16.786310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5ae5aa2f-fd4a-474d-99ad-4bda7103a2fe · outbound

This paper cites Signature moments to characterize laws of stochastic processes.

Learning with Expected Signatures: Theory and Applications Signature moments to characterize laws of stochastic processes

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:07.916882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25a74cda-2c58-4808-a223-2b516a1aaab4 · outbound

This paper cites and Qian, Z.

Learning with Expected Signatures: Theory and Applications and Qian, Z

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:08.008504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d8f7a52-c825-4e9e-8f7a-e50e19225ab4 · outbound

This paper cites Signature SDEs from an affine and polynomial perspective.

Learning with Expected Signatures: Theory and Applications Signature SDEs from an affine and polynomial perspective

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:08.151310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f492f5dd-1915-469d-9303-a31667df4033 · outbound

This paper cites an unresolved cited work.

Learning with Expected Signatures: Theory and Applications Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:07:16.626460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4f731b95-0c43-4a86-bcd5-7a72b27e893b · outbound

This paper cites Problems in stochastic analysis.

Learning with Expected Signatures: Theory and Applications Problems in stochastic analysis

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:16.468410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8e92178f-2036-49de-b4f5-e3ba0612cc8a · outbound

This paper cites Partial Differential Equations of Parabolic Type.

Learning with Expected Signatures: Theory and Applications Partial Differential Equations of Parabolic Type

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:16.336811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e7b91b7e-3221-4b9d-b3b4-7ed2aa3d75dd · outbound

This paper cites an unresolved cited work.

Learning with Expected Signatures: Theory and Applications Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:07:16.168842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ae5af2bf-057e-4d3e-b718-64e27453a414 · outbound

This paper cites K., Hager, P.

Learning with Expected Signatures: Theory and Applications K., Hager, P

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T14:07:12.730932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 40f1189e-2d85-4b69-ab43-e8c2432ed8dc · outbound

This paper cites On expected signatures and signature cumulants in semimartingale models.

Learning with Expected Signatures: Theory and Applications On expected signatures and signature cumulants in semimartingale models

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:08.831852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27f1aa0d-87cf-4b2e-b3c4-8719dadf9d9e · outbound

This paper cites Signature Trading: A Path-Dependent Extension of the Mean-Variance Framework with Exogenous Signals.

Learning with Expected Signatures: Theory and Applications Signature Trading: A Path-Dependent Extension of the Mean-Variance Framework with Exogenous Signals

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:08.925177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ced5659-5ddf-4189-b3fd-1c86335b1ea9 · outbound

This paper cites Sparse arrays of signatures for online character recognition.

Learning with Expected Signatures: Theory and Applications Sparse arrays of signatures for online character recognition

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:09.039169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9cd7eea-12c7-46d0-a92d-e0da1aef871f · outbound

This paper cites and Lyons, T.

Learning with Expected Signatures: Theory and Applications and Lyons, T

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:15.937255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9c2e301a-8e29-4fbb-bbb8-307d379344ac · outbound

This paper cites an unresolved cited work.

Learning with Expected Signatures: Theory and Applications Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:09.319040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b07ec02-bb52-412f-ac5c-fb11da745f66 · outbound

This paper cites On a Formula for the Product-Moment Coefficient of any Order of a Normal Frequency Distribution in any Number of Variables.

Learning with Expected Signatures: Theory and Applications On a Formula for the Product-Moment Coefficient of any Order of a Normal Frequency Distribution in any Number of Variables

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:09.431670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a30b597-c33d-44d1-872a-713047cd796f · outbound

This paper cites and Shiryaev, A.

Learning with Expected Signatures: Theory and Applications and Shiryaev, A

Reference 20

Resolution: verified exact; doi, observed 2026-08-07T14:07:12.499997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 15d00abe-0ddc-43be-ab84-6a7204327ca8 · outbound

This paper cites Foundations of Modern Probability.

Learning with Expected Signatures: Theory and Applications Foundations of Modern Probability

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:15.720092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3ba781c4-a6d2-4334-ac35-6f0192617b63 · outbound

This paper cites an unresolved cited work.

Learning with Expected Signatures: Theory and Applications Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:07:15.581080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d2c8a1da-b66d-4441-b77d-a6bfc9753e4b · outbound

This paper cites Ergodic Behavior of Markov Processes.

Learning with Expected Signatures: Theory and Applications Ergodic Behavior of Markov Processes

Reference 23

Resolution: verified exact; doi, observed 2026-08-07T14:07:12.304651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 987e8d34-ceb6-4b25-a0ba-c1ddff30b850 · outbound

This paper cites A stochastic sewing lemma and applications.

Learning with Expected Signatures: Theory and Applications A stochastic sewing lemma and applications

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:09.981351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51b27883-8215-42a0-a381-6b0ce4be266f · outbound

This paper cites V., and Lyons, T.

Learning with Expected Signatures: Theory and Applications V., and Lyons, T

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:15.366183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f6b314ad-6b08-406f-a7a0-65967927e34f · outbound

This paper cites Learning from the past, predicting the statistics for the future, learning an evolving system.

Learning with Expected Signatures: Theory and Applications Learning from the past, predicting the statistics for the future, learning an evolving system

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:10.195825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b8bccef-6afc-45d1-823d-2b15ef2c9fb7 · outbound

This paper cites Estimation and Inference for Multivariate Continuous-time Autoregressive Processes.

Learning with Expected Signatures: Theory and Applications Estimation and Inference for Multivariate Continuous-time Autoregressive Processes

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:07:13.761775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 16e7fad3-342f-4ac9-a488-742e04beb8e4 · outbound

This paper cites Signature Methods in Machine Learning.

Learning with Expected Signatures: Theory and Applications Signature Methods in Machine Learning

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:10.548836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff5bd2f0-4ef0-47b5-8d22-2928be2571b3 · outbound

This paper cites Differential Equations Driven by Rough Paths: \'E cole D' \'e t \'e de Probabilit \'e s de Saint-Flour XXXIV-2004.

Learning with Expected Signatures: Theory and Applications Differential Equations Driven by Rough Paths: \'E cole D' \'e t \'e de Probabilit \'e s de Saint-Flour XXXIV-2004

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:15.204750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 22dcbb79-3760-4ef9-99fe-c82c875997f9 · outbound

This paper cites Non-parametric pricing and hedging of exotic derivatives.

Learning with Expected Signatures: Theory and Applications Non-parametric pricing and hedging of exotic derivatives

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:15.035138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7cecbf0e-984c-4598-9108-e7bf12eca3a2 · outbound

This paper cites an unresolved cited work.

Learning with Expected Signatures: Theory and Applications Unresolved cited work

Reference 31

Resolution: verified exact; raw_fallback, observed 2026-08-07T14:07:13.552469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d4187cc2-ce2e-480c-a923-af107e219ae4 · outbound

This paper cites and Stelzer, R.

Learning with Expected Signatures: Theory and Applications and Stelzer, R

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:10.938652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2c40589-1a3c-41b6-b6b1-295ce02aa7e6 · outbound

This paper cites an unresolved cited work.

Learning with Expected Signatures: Theory and Applications Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:07:14.864468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5292b066-dc5a-4085-b142-1f788d0567a1 · outbound

This paper cites The expected signature of a stochastic process.

Learning with Expected Signatures: Theory and Applications The expected signature of a stochastic process

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:14.700645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 036134a4-c117-4cbb-afcf-dbb762a8f70d · outbound

This paper cites On the signature and cubature of the fractional Brownian motion for H>1/2.

Learning with Expected Signatures: Theory and Applications On the signature and cubature of the fractional Brownian motion for H>1/2

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:11.204589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db3e2a7d-d444-40a4-bdcd-3b12295f47aa · outbound

This paper cites M., Geddes, J.

Learning with Expected Signatures: Theory and Applications M., Geddes, J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:14.527039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2fa4259e-0238-49ab-9306-c3f13fa23f2c · outbound

This paper cites The Signature Kernel Is the Solution of a Goursat PDE.

Learning with Expected Signatures: Theory and Applications The Signature Kernel Is the Solution of a Goursat PDE

Reference 37

Resolution: verified exact; doi, observed 2026-08-07T14:07:12.065536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 61197335-2149-41c0-b9fe-5f7619a25f5f · outbound

This paper cites and Oberhauser, H.

Learning with Expected Signatures: Theory and Applications and Oberhauser, H

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:14.346553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7db82a79-c10f-48b1-9e88-744d1747ce1c · outbound

This paper cites and Romito, M.

Learning with Expected Signatures: Theory and Applications and Romito, M

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:11.531330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ec8d479-c096-4ed6-9ce7-7fa4e99cd7b6 · outbound

This paper cites an unresolved cited work.

Learning with Expected Signatures: Theory and Applications Unresolved cited work

Reference 40

Resolution: verified exact; doi, observed 2026-08-07T14:07:11.878674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 49892c51-86ca-4240-906a-a80efa85f075 · outbound

This paper cites Learning Spatial-Semantic Context with Fully Convolutional Recurrent Network for Online Handwritten Chinese Text Recognition.

Learning with Expected Signatures: Theory and Applications Learning Spatial-Semantic Context with Fully Convolutional Recurrent Network for Online Handwritten Chinese Text Recognition

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:11.686603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 1311cc44-4422-43d9-a96e-a8ea20116bb9 · inbound

Anticipatory Reinforcement Learning: From Generative Path-Laws to Distributional Value Functions cites this paper.

Anticipatory Reinforcement Learning: From Generative Path-Laws to Distributional Value Functions Learning with Expected Signatures: Theory and Applications

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-10T22:55:49.988242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 801f5c23-8fd2-4934-9876-b6ef1faa40b9 · inbound

Generative Path-Law Jump-Diffusion: Sequential MMD-Gradient Flows and Generalisation Bounds in Marcus-Signature RKHS cites this paper.

Generative Path-Law Jump-Diffusion: Sequential MMD-Gradient Flows and Generalisation Bounds in Marcus-Signature RKHS Learning with Expected Signatures: Theory and Applications

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-10T22:55:51.795798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.