Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-09T15:21:40.298387Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2607.07286.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-09T15:21:40.298387Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
59 of 59 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9fe86a5b-7b59-4996-8bc3-e5cd3ea835da · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Analogously, the MSPE associated with prediction from X2 isR ∗ 2 =a 2(1−r 2
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e5d772a4-e610-40dd-beaa-142fb46af950 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Given thatE[Y] = 0, the relevant variance is defined asσ 2 Y =E[Y 2] = E[(aX1 +bX 2 +U) 2] =a 2 +b 2 + 2abr12 +σ 2 U by just exploiting the fact thatE[X1U] =E[X 2U] = 0
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 77d9cfd3-a891-4dbb-a23a-eee405db4802 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation aa182124-68ae-4064-a37a-9cffd9766eff · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Substituting these quantities into Eq
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c4d0f2fa-563f-43e3-8e28-aa3f3e1501dd · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 50192171-2792-45cc-8874-9d4703015264 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms 1(c), where the positive values of∆occur in the central region of ther12 domain, while negative values emerge as the source correlation increases in magnitude
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7a3ad478-3cbc-4b29-9eb8-b768086a38bf · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Graphs are maximally expressive for higher-order interactions
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5163d53c-acfb-495d-bc29-7543685fd06f · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Boccaletti, P
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fa2c2bac-1a32-463d-ad2f-580909c59f9a · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cc0f96ac-dbd4-4fd5-858c-efbe246a244a · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d02c6529-a0f3-41eb-89d7-8decfa5d0701 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Stramaglia, T
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a5b590ad-abbf-4d42-8ecc-3b397e0bf4d2 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Nonnegative Decomposition of Multivariate Information
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 659aafba-3045-466e-8de6-02f0a4ada95d · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Stramaglia, L
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4b62eed3-df9d-4534-8d62-321c8f452ff3 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5261d0d9-8056-466c-8cde-3ef1a6ed5c2d · outbound
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 80803ad2-5ab6-468a-b1fc-bbb48edec315 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b8962044-0f6b-47a4-9af5-be67f1bf56c3 · outbound
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e9b06b1e-f2f7-4099-aaa4-ecb60d6dae69 · outbound
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1a64477a-c22b-40e9-a276-e8f0631b5999 · outbound
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6395fce4-2212-4c76-ad99-7d33b75bf480 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 12828f06-12d6-4f2b-bacc-f0046cedc7d3 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2f7d2762-15ac-44a2-872b-a568cf47e7a0 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 304d8a43-e802-42bb-8287-e1b69abcb1a7 · outbound
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation af6aa47d-fd55-4863-969e-91f76d27e560 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 83f6f6ba-8408-4b08-9a6c-9291e0be2216 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Marinazzo, Physics18, 71 (2025)
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7030a22a-77e7-46d5-8b6d-021bf184811d · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d19e2df9-06fc-4f15-90e3-7772307f2d40 · outbound
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 88929d44-bfd2-4b65-9c35-ae649ef310c0 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Caprioglio, P
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 14c9eec7-05ef-499b-b210-1e785b12d459 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7d1a8dfe-5abd-4578-86b9-ddfbb28bd298 · outbound
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 51457479-7fec-4acd-badd-fbcbfa48ebe1 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Disentangling Interactions and Dependencies in Feature Attribution
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cf1b5cb7-d476-4cbb-b42b-e8d6991fdc9c · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms McGill, Transactions of the IRE Professional Group on Information Theory4, 93 (1954)
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a81966fd-cf86-4d8a-96a8-6cd35587eb09 · outbound
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 062a6c97-0343-47fb-bf53-8172f2955436 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9348c83e-a17d-4637-94c4-996cafa89823 · outbound
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c0452cc1-7a55-4473-bae4-947be2d2515c · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 724a9fa1-8472-44f6-99da-901bdc9cfb47 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Lütkepohl,Introduction to multiple time series anal- ysis(Springer Science & Business Media, 2013)
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2b4b2649-5073-4a82-9a36-1bf63d8d9198 · outbound
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1f4f903e-9def-4deb-801e-9d9805a72ef9 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Palus, Physics Letters A235, 341 (1997)
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4ac7a136-948d-4af6-bc58-ffe717f6905e · outbound
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cd3f7413-0e86-4195-9a57-1fa584dbec27 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Teräsvirta, D
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eed2dbd0-3c71-4b0e-b2a3-207a6f2d960e · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d85cfcf1-e419-4054-a2f4-6cd6a1720c3e · outbound
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ab921d77-0020-484f-b468-2abeca3ea244 · outbound
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 68681c69-8871-4b83-92fe-dce4c8ca2bf4 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms PhysioBank, PhysioToolkit, and PhysioNet: components of a new research resource for complex physiologic signals
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 37f76e13-5a28-4d35-a704-b159935792fd · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Delorme and S
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 34507694-ed80-4ec4-a4ab-acbf08591245 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Discrete, 3D distributed, linear imaging methods of electric neuronal activity. Part 1: exact, zero error localization
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f376722e-4098-4272-bc09-e46564ad5a86 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Mazziottaet al., Philosophical Transactions of the Royal Society of London
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a0252695-1de3-4662-8af6-4ffdd2b2ef69 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Pirovanoet al., IEEE Transactions on Neural Systems and Rehabilitation Engineering31, 4549 (2023)
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8a253c78-5b94-4b6d-a8c1-31971c962b34 · outbound
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 766675d0-5962-4452-8d5f-f9d409eab34b · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Van de Steen, L
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0937966b-0142-4383-92a2-140dd235c95c · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0d72e466-b02f-4984-a4be-c92f27f1c983 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ac9e84d0-174f-4e99-ad2f-26b86c3ac073 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a4c72d1f-e449-4678-ad41-9a6df5991898 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fa3bfbc7-6c72-4c6a-995f-e3a21e20142a · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 45f4efc5-cb91-4f00-9369-a893d12528ca · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms (A.7) Thus, σ2 Y =c 2(1 +r 2
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0f85d5fb-7fc2-4cf1-89e6-0f12daafbc87 · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms 2 2r 2 12 2r2 12 2 #
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1991f54c-b838-46ce-b520-a0e6acf94b3e · outbound
From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms (A.29) The minimum value of (A.19) is equal to the variance of Zminus the amount of variance explained by its opti- mal additive approximation
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
No inbound Pith citation observations are available.