Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:36:20.666328Z
Paper Citation Record · LEDGER
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification
As of 9 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2507.05533.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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
Reference resolution
19 of 19 outbound references displayed
- verified exact0
- verified fuzzy5
- unresolved14
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7a2ac66f-d9d4-410d-a706-63b8c7f364de · outbound
This paper cites ‖‖CDn W+W0 WXan−CDn W+W0 (W+W 0)Xan ‖‖ 2≤ ~O (√s√mτw∥A∥1 + √ kσw∥A∥1 ) (29).
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification ‖‖CDn W+W0 WXan−CDn W+W0 (W+W 0)Xan ‖‖ 2≤ ~O (√s√mτw∥A∥1 + √ kσw∥A∥1 ) (29)
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:36:21.179924Z
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 1555f1c3-6a69-41b5-9b38-e4b15efb9b23 · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:21.054730Z
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 ddca0e72-ee4a-49a8-b15d-879752d69245 · outbound
This paper cites ‖‖Dn V(0)−Dn V+V0 ‖‖ 0≤O ( (τv σv )2/3m ) (31).
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification ‖‖Dn V(0)−Dn V+V0 ‖‖ 0≤O ( (τv σv )2/3m ) (31)
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:36:21.144582Z
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 10ef93d0-bcc5-4292-8c04-8f4af8f67acf · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:21.004651Z
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 4665cbbd-e2f9-4800-b923-349b7df31b4f · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:21.107445Z
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 3cd82a5c-4f13-460b-9830-79974ce6cd34 · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:21.084204Z
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 a10171dd-b5eb-444e-bd15-5659aa3101bb · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:21.031036Z
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 67363432-6d39-4124-84f1-8d1b1cb52f18 · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:20.977236Z
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 29299cdf-a134-4b0a-a759-edd9d590362f · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:20.940552Z
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 e07c217a-b610-4eba-ba2d-e352b79d4047 · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:20.920894Z
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 2002e6c7-e86b-48d1-8777-c63c3109c58e · outbound
This paper cites En∈V,(X,yn)∼D [‖‖CDn W0+W(W∗−W)Xa n−(Fn(X,A)−out 1 n(X,A)) ‖‖ 2 ] ≤~α2∥A∥1 (45) Proof:.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification En∈V,(X,yn)∼D [‖‖CDn W0+W(W∗−W)Xa n−(Fn(X,A)−out 1 n(X,A)) ‖‖ 2 ] ≤~α2∥A∥1 (45) Proof:
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:36:20.895037Z
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 a25a4f60-73ee-4f56-90e5-6b20486131a9 · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:20.870976Z
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 8b0e056c-26e8-4dcc-b9d0-d3cd193a6a7a · outbound
This paper cites 3.∥W ∗Xan∥2 ≤O(∥W ∗∥F∥Xan∥2)≤O(τ w∥A∥1).
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification 3.∥W ∗Xan∥2 ≤O(∥W ∗∥F∥Xan∥2)≤O(τ w∥A∥1)
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:36:20.847581Z
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 0605fa19-481d-43e9-a3ae-c6d9f9d4ea02 · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:20.828838Z
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 1c27a755-549a-485f-b522-98d97c5b4142 · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:20.811807Z
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 6e97aa33-872b-413e-8071-d71ce24a294a · outbound
This paper cites 25 Published in Transactions on Machine Learning Research (June/2025).
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification 25 Published in Transactions on Machine Learning Research (June/2025)
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:36:20.794146Z
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 12743e66-fdcc-4874-a25f-a160d29f8279 · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:20.767600Z
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 7ef9749b-c578-438d-821f-157de8afda3f · outbound
This paper cites an unresolved cited work.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:36:20.747072Z
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 90431217-3237-4bda-8600-f6ebd509baf4 · outbound
This paper cites Graph Neural Networks Exponentially Lose Expressive Power for Node Classification.
Theoretical Learning Performance of Graph Neural Networks: The Impact of Jumping Connections and Layer-wise Sparsification Graph Neural Networks Exponentially Lose Expressive Power for Node Classification
Reference 2023
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:36:20.539582Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.