Paper Citation Record · LEDGER

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants

As of 9 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.06888.

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

pith.paper-citation-record.v1
2507.06888 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:01:12.262403Z

measured 34 of 34 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

34 of 34 outbound references displayed

verified exact2
verified fuzzy26
unresolved6
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 01dcdbed-040d-47b1-8336-b4e0bcb393f5 · outbound

This paper cites Causal mechanisms in the social sciences.Annual review of sociology, 36(1):49–67, 2010.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Causal mechanisms in the social sciences.Annual review of sociology, 36(1):49–67, 2010

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.856945Z

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 87db141d-5030-440e-8650-2fe95fc1a189 · outbound

This paper cites Academic Press, 2014.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Academic Press, 2014

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.840925Z

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 cae0f3fe-8a01-4199-bb6b-57b72409de7e · outbound

This paper cites Prob- abilistic computational causal discovery for systems biology.Uncertainty in biology: a computa- tional modeling approach, pages 33–73, 2016.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Prob- abilistic computational causal discovery for systems biology.Uncertainty in biology: a computa- tional modeling approach, pages 33–73, 2016

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.825069Z

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 5ba2eaca-fdee-4117-847c-79cb1b317f83 · outbound

This paper cites Causal discovery analysis: A promising tool in advancing precision medicine for eating disorders.International Journal of Eating Disorders, 56(11):2012–2021, 2023.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Causal discovery analysis: A promising tool in advancing precision medicine for eating disorders.International Journal of Eating Disorders, 56(11):2012–2021, 2023

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.808443Z

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 81a156d9-c642-4351-a096-8f52e61728a2 · outbound

This paper cites FedDAG: Federated DAG Structure Learning.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants FedDAG: Federated DAG Structure Learning

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:12.353945Z

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 cbcadb8c-76d4-41d1-9393-1a4da36c2885 · outbound

This paper cites Federated causal discovery with missing data in a multicentric study on endometrial cancer.Available at SSRN 4998504, 2024.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Federated causal discovery with missing data in a multicentric study on endometrial cancer.Available at SSRN 4998504, 2024

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.791523Z

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 a4be9717-6dc6-4065-b564-39a4150bc5ea · outbound

This paper cites Towards practical federated causal structure learning.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Towards practical federated causal structure learning

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.776178Z

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 766e9772-d878-4920-9073-09242093e1cf · outbound

This paper cites Federated Causal Discovery from Heterogeneous Data.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Federated Causal Discovery from Heterogeneous Data

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:12.329979Z

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 d0e94359-1728-4164-974b-129a3ed5f3e5 · outbound

This paper cites an unresolved cited work.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:01:12.759171Z

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 8fd5465c-b436-4b31-a0f0-96b24d20ad0c · outbound

This paper cites Federated recommendation systems.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Federated recommendation systems

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.743195Z

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 c95252a9-445e-426b-ac68-e9247b9b1ed0 · outbound

This paper cites Federated Graph Learning -- A Position Paper.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Federated Graph Learning -- A Position Paper

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:12.146085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6be603e5-5b99-43cd-ae42-902506d4bf44 · outbound

This paper cites Hybrid federated learning for feature & sample heterogeneity: Algorithms and implementation.Transactions on Machine Learning Research, 2024.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Hybrid federated learning for feature & sample heterogeneity: Algorithms and implementation.Transactions on Machine Learning Research, 2024

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.726865Z

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 b82dc9f2-2e34-42d3-9168-e93dd0a2acef · outbound

This paper cites A survey on homomorphic encryption schemes: Theory and implementation.ACM Computing Surveys (Csur), 51(4):1–35, 2018.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants A survey on homomorphic encryption schemes: Theory and implementation.ACM Computing Surveys (Csur), 51(4):1–35, 2018

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:12.157879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 848454ff-40cb-4eb2-b1bd-7ce9c12445ca · outbound

This paper cites Causal discovery with latent confounders based on higher-order cumulants.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Causal discovery with latent confounders based on higher-order cumulants

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.700867Z

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 80e3db36-1226-4990-8f00-7e71b3725e18 · outbound

This paper cites Identification of causal structure with latent variables based on higher order cumulants.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Identification of causal structure with latent variables based on higher order cumulants

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.684643Z

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 ba3e1e88-a0de-483b-b895-96fd51104bb9 · outbound

This paper cites Towards federated bayesian network structure learning with con- tinuous optimization.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Towards federated bayesian network structure learning with con- tinuous optimization

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.666909Z

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 099df4c0-8995-4e4b-b814-bc97df6822b8 · outbound

This paper cites Federated causality learning with explainable adaptive optimization.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Federated causality learning with explainable adaptive optimization

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.647262Z

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 94051d4f-6233-4671-ab1c-752e271ce348 · outbound

This paper cites Federated learning of generalized linear causal networks.IEEE Transactions on Pattern Analysis and Machine Intelligence, 2024.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Federated learning of generalized linear causal networks.IEEE Transactions on Pattern Analysis and Machine Intelligence, 2024

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.629231Z

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 51011935-c530-45c9-b285-210288d9160a · outbound

This paper cites Nothing but regrets—privacy-preserving federated causal discovery.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Nothing but regrets—privacy-preserving federated causal discovery

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.610123Z

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 d13ae258-c735-4af6-b11d-21a4e4715ead · outbound

This paper cites Towards privacy-aware causal structure learning in federated setting.IEEE Transactions on Big Data, 9(6):1525–1535, 2023.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Towards privacy-aware causal structure learning in federated setting.IEEE Transactions on Big Data, 9(6):1525–1535, 2023

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.593148Z

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 64a4049d-ee28-478a-ab02-19b9fce18cb2 · outbound

This paper cites Enhancing causal discovery in federated settings with limited local samples.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Enhancing causal discovery in federated settings with limited local samples

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:12.198038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54f70372-834f-4198-8001-b20b7a0831f4 · outbound

This paper cites Fedcsl: A scalable and accurate approach to feder- ated causal structure learning.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Fedcsl: A scalable and accurate approach to feder- ated causal structure learning

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.564795Z

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 adc8dbef-5329-4bf8-bdf7-0c9290d961ef · outbound

This paper cites Sample quality heterogeneity-aware federated causal discovery through adaptive variable space selection.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Sample quality heterogeneity-aware federated causal discovery through adaptive variable space selection

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.548478Z

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 f42f5b90-367b-4a06-9abf-adff1541eacf · outbound

This paper cites Integrating locally learned causal structures with overlapping variables.Advances in Neural Information Processing Systems, 21, 2008.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Integrating locally learned causal structures with overlapping variables.Advances in Neural Information Processing Systems, 21, 2008

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.532357Z

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 4cfafe19-4b0f-4074-a3a8-fa4bbff94264 · outbound

This paper cites Constraint-based causal discovery from multiple in- terventions over overlapping variable sets.The Journal of Machine Learning Research, 16(1):2147– 2205, 2015.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Constraint-based causal discovery from multiple in- terventions over overlapping variable sets.The Journal of Machine Learning Research, 16(1):2147– 2205, 2015

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.514654Z

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 06005892-d025-4a32-8cf7-b5d74f5f6679 · outbound

This paper cites Causal discovery from multiple data sets with non-identical variable sets.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Causal discovery from multiple data sets with non-identical variable sets

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.497850Z

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 ff6fdcbd-13ce-448b-b2d4-be20991c61a7 · outbound

This paper cites Causal discovery from unknown interventional datasets over overlapping variable sets.IEEE Transactions on Knowledge and Data Engineering, 2024.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Causal discovery from unknown interventional datasets over overlapping variable sets.IEEE Transactions on Knowledge and Data Engineering, 2024

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.481026Z

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 01a99b1d-9458-43ed-8637-d4421cd42e99 · outbound

This paper cites A novel data enhancement approach to dag learning with small data samples.Applied Intelligence, 53(22):27589–27607, 2023.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants A novel data enhancement approach to dag learning with small data samples.Applied Intelligence, 53(22):27589–27607, 2023

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.463195Z

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 044670bb-f79c-4f5a-a800-5892611f946e · outbound

This paper cites Multi-target markov boundary discovery: Theory, algorithm, and application.IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(4):4964–4980, 2022.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Multi-target markov boundary discovery: Theory, algorithm, and application.IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(4):4964–4980, 2022

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.446681Z

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 253e560b-6d47-403e-bef5-7d6fb5d11a82 · outbound

This paper cites SIAM, 2001.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants SIAM, 2001

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:12.242566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f67914f1-2549-412f-adb4-320d0f21c2d1 · outbound

This paper cites Independent component analysis, adaptive and learning systems for signal processing, communications, and control.vol, 1:11–14, 2002.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Independent component analysis, adaptive and learning systems for signal processing, communications, and control.vol, 1:11–14, 2002

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.417546Z

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 2acaf9d0-83fb-4ee9-a3d3-366e3b30975d · outbound

This paper cites A linear non-gaussian acyclic model for causal discovery.Journal of Machine Learning Research, 7(10), 2006.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants A linear non-gaussian acyclic model for causal discovery.Journal of Machine Learning Research, 7(10), 2006

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.399898Z

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 252b8fdd-2c49-455e-9143-a82e6f91471c · outbound

This paper cites Directlingam: A direct method for learning a linear non-gaussian structural equation model.Journal of Machine Learning Research-JMLR, 12(Apr):1225–1248, 2011.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Directlingam: A direct method for learning a linear non-gaussian structural equation model.Journal of Machine Learning Research-JMLR, 12(Apr):1225–1248, 2011

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:12.257304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 005fc214-d7f2-4e28-ad7e-e950364d364f · outbound

This paper cites Secure multiparty computation.Communications of the ACM, 64(1):86–96, 2020.

Horizontal and Vertical Federated Causal Structure Learning via Higher-order Cumulants Secure multiparty computation.Communications of the ACM, 64(1):86–96, 2020

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.372756Z

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.