Paper Citation Record · LEDGER

Regularized Learning for Fractional Brownian Motion via Path Signatures

As of 9 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.16156.

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

pith.paper-citation-record.v1
2506.16156 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:49:14.385578Z

measured 20 of 20 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

verified exact2
verified fuzzy13
unresolved4
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 666b77e4-a6a1-497d-b85e-633037cda1b6 · outbound

This paper cites Sharp inequalities for the beta function.Indagationes Mathematicae, 12 (1):15–21, 2001.

Regularized Learning for Fractional Brownian Motion via Path Signatures Sharp inequalities for the beta function.Indagationes Mathematicae, 12 (1):15–21, 2001

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:18.721882Z

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 6aa48b07-37c1-45a2-bc27-dad65f81c76c · outbound

This paper cites Operators associated with a stochastic differen- 9 Figure 2:Lasso regression comparing to signature regression for Air Quality data.

Regularized Learning for Fractional Brownian Motion via Path Signatures Operators associated with a stochastic differen- 9 Figure 2:Lasso regression comparing to signature regression for Air Quality data

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:18.416076Z

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 86b508b2-82bb-483b-be49-c664d509fb73 · outbound

This paper cites Estimating the hurst parameter.Statistical Inference for Stochastic Processes, 10(1):49–73, 2007.

Regularized Learning for Fractional Brownian Motion via Path Signatures Estimating the hurst parameter.Statistical Inference for Stochastic Processes, 10(1):49–73, 2007

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:18.127475Z

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 d5722f10-dd08-413a-966a-e70a4470017a · outbound

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

Regularized Learning for Fractional Brownian Motion via Path Signatures Integration of paths, geometric invariants and a generalized Baker– Hausdorff formula.Annals of Mathematics, 65(1):163–178, 1957

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:17.849850Z

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 3ad81c5c-fced-47fa-95bd-c7ca1bc43838 · outbound

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

Regularized Learning for Fractional Brownian Motion via Path Signatures Signature-based models: Theory and calibration.SIAM Journal on Financial Mathematics, 14(3):910–957, 2023

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:17.641885Z

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 0a26ba2e-645e-4472-a2c2-8d7a72327427 · outbound

This paper cites Functional linear regression with truncated signatures.Journal of Multivariate Analysis, 192:105031, 2022.

Regularized Learning for Fractional Brownian Motion via Path Signatures Functional linear regression with truncated signatures.Journal of Multivariate Analysis, 192:105031, 2022

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:17.396485Z

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 c3bcb042-3720-414d-b20c-29449383331e · outbound

This paper cites A basis for iterated stochastic integrals.Mathematics and Computers in Simulation, 38(1-3):7–11, 1995.

Regularized Learning for Fractional Brownian Motion via Path Signatures A basis for iterated stochastic integrals.Mathematics and Computers in Simulation, 38(1-3):7–11, 1995

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:17.124357Z

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 9a6041b1-4edc-423f-8ef1-1aa98361783c · outbound

This paper cites On consistency of signatures using lasso.

Regularized Learning for Fractional Brownian Motion via Path Signatures On consistency of signatures using lasso

Reference 8

Resolution: verified exact; raw_fallback, observed 2026-08-06T23:49:14.855825Z

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 8e35ecfb-f1fd-4b84-8b25-083b92605269 · outbound

This paper cites Detecting early signs of depressive and manic episodes in patients with bipolar disorder using the signature-based model.

Regularized Learning for Fractional Brownian Motion via Path Signatures Detecting early signs of depressive and manic episodes in patients with bipolar disorder using the signature-based model

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:49:14.601639Z

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 b55c752c-0a17-4826-b736-2bbd5818fb26 · outbound

This paper cites Signature Methods in Machine Learning.

Regularized Learning for Fractional Brownian Motion via Path Signatures Signature Methods in Machine Learning

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T23:49:13.161232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0900eae3-807e-4d26-bd7d-f9d760709f75 · outbound

This paper cites Springer, 2007.

Regularized Learning for Fractional Brownian Motion via Path Signatures Springer, 2007

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:16.855367Z

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 42d9754f-7f12-4d0d-b272-4f93727fbe27 · outbound

This paper cites A feature set for streams and an appli- cation to high-frequency financial tick data.

Regularized Learning for Fractional Brownian Motion via Path Signatures A feature set for streams and an appli- cation to high-frequency financial tick data

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:16.565584Z

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 d0bc74df-6852-4d2d-8c66-105afcd82e0e · outbound

This paper cites Springer, 2008.

Regularized Learning for Fractional Brownian Motion via Path Signatures Springer, 2008

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:16.336633Z

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 964e5b1f-b73f-48f2-8fa4-d786064b041d · outbound

This paper cites Springer, 2nd edition, 2006.

Regularized Learning for Fractional Brownian Motion via Path Signatures Springer, 2nd edition, 2006

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:16.144072Z

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 34db7cc9-075b-4bb8-8fb1-65715f047e7e · outbound

This paper cites A construction of the rough path above fractional brownian motion using volterra representation.

Regularized Learning for Fractional Brownian Motion via Path Signatures A construction of the rough path above fractional brownian motion using volterra representation

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:15.920028Z

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 7540be18-4068-4321-ad53-22a9dbb3be94 · outbound

This paper cites Regression shrinkage and selection via the lasso.Journal of the Royal Statistical Society Series B: Statistical Methodology, 58(1):267–288, 1996.

Regularized Learning for Fractional Brownian Motion via Path Signatures Regression shrinkage and selection via the lasso.Journal of the Royal Statistical Society Series B: Statistical Methodology, 58(1):267–288, 1996

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T23:49:13.895411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb31dc87-a484-47e5-9c11-a6f18eb98d39 · outbound

This paper cites Air Quality.

Regularized Learning for Fractional Brownian Motion via Path Signatures Air Quality

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T23:49:14.000317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da25a0c4-a547-433a-92eb-69dd830e418d · outbound

This paper cites Parameter estimation for fractional ornstein–uhlenbeck processes at discrete observation.Applied Mathematical Modelling, 35(9):4196–4207, 2011.

Regularized Learning for Fractional Brownian Motion via Path Signatures Parameter estimation for fractional ornstein–uhlenbeck processes at discrete observation.Applied Mathematical Modelling, 35(9):4196–4207, 2011

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:49:15.665155Z

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 11d44873-3710-4d0d-8a75-5f0a596f2d19 · outbound

This paper cites an unresolved cited work.

Regularized Learning for Fractional Brownian Motion via Path Signatures Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:49:15.360482Z

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 e38a3495-ef37-474e-be20-ed1542f657e6 · outbound

This paper cites On model selection consistency of lasso.Journal of Machine learning research, 7(Nov):2541–2563, 2006.

Regularized Learning for Fractional Brownian Motion via Path Signatures On model selection consistency of lasso.Journal of Machine learning research, 7(Nov):2541–2563, 2006

Reference 20

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T23:49:15.124797Z

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.

Pith citing papers

No inbound Pith citation observations are available.