Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T20:00:01.413267Z
Paper Citation Record · LEDGER
On Generalized Barron Spaces for Shallow Neural Networks
As of 12 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2608.06843.
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 2026-08-11T06:34:44.6726+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
37 of 37 outbound references displayed
- verified exact0
- verified fuzzy28
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9f0d443f-ff5a-409f-8fa0-bcbce96b1ea0 · outbound
This paper cites Weighted Sobolev Approximation Rates for Neural Networks on Unbounded Domains.
On Generalized Barron Spaces for Shallow Neural Networks Weighted Sobolev Approximation Rates for Neural Networks on Unbounded Domains
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T20:00:01.160630Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e5751f0-af9e-481f-b08f-2385bcfc677c · outbound
This paper cites Approximations with deep neural networks in Sobolev time-space.Anal.
On Generalized Barron Spaces for Shallow Neural Networks Approximations with deep neural networks in Sobolev time-space.Anal
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:02.216216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 34ae0e28-8c32-4bcd-979f-f2ff30b1472d · outbound
This paper cites Breaking the curse of dimensionality with convex neutral networks.J.
On Generalized Barron Spaces for Shallow Neural Networks Breaking the curse of dimensionality with convex neutral networks.J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:02.197100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e8d27bb1-82d4-4491-80fa-e2a0de5f07c3 · outbound
This paper cites an unresolved cited work.
On Generalized Barron Spaces for Shallow Neural Networks Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:00:02.178065Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 20d30bd2-1550-4f64-b36b-b1f9d29a3184 · outbound
This paper cites Analysis of Tikhonov regularization for function approximation by neural networks.Neural Networks, 16(1):79–90, 2003.
On Generalized Barron Spaces for Shallow Neural Networks Analysis of Tikhonov regularization for function approximation by neural networks.Neural Networks, 16(1):79–90, 2003
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:02.158298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e5cc8ce1-c38f-4d20-a03a-06012f39b931 · outbound
This paper cites A regularity theory for static Schrödinger equations onRd in spectral Barron spaces.SIAM J.
On Generalized Barron Spaces for Shallow Neural Networks A regularity theory for static Schrödinger equations onRd in spectral Barron spaces.SIAM J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:02.139870Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 514acb82-c015-4608-911f-502619594868 · outbound
This paper cites Functional analysis and partial differential equations in spectral Barron spaces.
On Generalized Barron Spaces for Shallow Neural Networks Functional analysis and partial differential equations in spectral Barron spaces
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T20:00:01.209020Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 67351a61-3bc9-4e8e-8e91-6be3a5588a48 · outbound
This paper cites Cohn.Measure theory.
On Generalized Barron Spaces for Shallow Neural Networks Cohn.Measure theory
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:02.118598Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 67a1f26c-f8f4-435a-bf3e-024d428f0234 · outbound
This paper cites Approximation by superpositions of a sigmoidal function.Math.
On Generalized Barron Spaces for Shallow Neural Networks Approximation by superpositions of a sigmoidal function.Math
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:02.098936Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a3436e75-a999-427f-900d-71c96540a037 · outbound
This paper cites Neural network approximation.Acta Numer., 30:327–444, 2021.
On Generalized Barron Spaces for Shallow Neural Networks Neural network approximation.Acta Numer., 30:327–444, 2021
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:02.078114Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d5664784-e7a1-40b7-8bc6-086be01493fb · outbound
This paper cites The Barron space and the flow-induced function spaces for neural network models.Constr.
On Generalized Barron Spaces for Shallow Neural Networks The Barron space and the flow-induced function spaces for neural network models.Constr
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:02.058699Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 479580c3-d1f6-4710-bdb3-3a7fbbda8073 · outbound
This paper cites Engl, Martin Hanke, and Andreas Neubauer.Regularization of inverse problems.
On Generalized Barron Spaces for Shallow Neural Networks Engl, Martin Hanke, and Andreas Neubauer.Regularization of inverse problems
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:02.040875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0a4639bd-f82b-451c-96ea-5521ad0676c9 · outbound
This paper cites Approximation spaces of deep neural networks.Constr.
On Generalized Barron Spaces for Shallow Neural Networks Approximation spaces of deep neural networks.Constr
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:02.024930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3dc86fbd-1474-4c55-8927-b51c9f917ae3 · outbound
This paper cites Schwenninger, and Christoph Brune.
On Generalized Barron Spaces for Shallow Neural Networks Schwenninger, and Christoph Brune
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:02.007954Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4219ae39-0d7d-4ec4-a8ad-381f625a815a · outbound
This paper cites Approximation capabilities of multilayer feedforward networks.Neural Networks, 4(2):251–257, 1991.
On Generalized Barron Spaces for Shallow Neural Networks Approximation capabilities of multilayer feedforward networks.Neural Networks, 4(2):251–257, 1991
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T20:00:01.267672Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58ccef6d-1b43-486d-bcf8-6246de01097a · outbound
This paper cites Deep neural networks with ReLU-sine-exponential activations break curse of dimensionality in approximation on Hölder class.SIAM J.
On Generalized Barron Spaces for Shallow Neural Networks Deep neural networks with ReLU-sine-exponential activations break curse of dimensionality in approximation on Hölder class.SIAM J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.977983Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cf467cef-c16b-4b7f-87af-218b2d486d72 · outbound
This paper cites Klusowski and Andrew R.
On Generalized Barron Spaces for Shallow Neural Networks Klusowski and Andrew R
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.961068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9d150868-6019-4213-83e0-e059ffadd54f · outbound
This paper cites Deep learning.Nature, 521(7553):436–444, May 2015.
On Generalized Barron Spaces for Shallow Neural Networks Deep learning.Nature, 521(7553):436–444, May 2015
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T20:00:01.292305Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92e943c8-618b-4ae3-bd80-6aaea644507a · outbound
This paper cites Pereverzev.
On Generalized Barron Spaces for Shallow Neural Networks Pereverzev
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.933246Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1c8680ec-4914-431a-b56e-30dcab36a47e · outbound
This paper cites Spectral Barron space for deep neural network approximation.
On Generalized Barron Spaces for Shallow Neural Networks Spectral Barron space for deep neural network approximation
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.916868Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8170ec7e-c1ee-4aaa-a374-b8ef561bd1cc · outbound
This paper cites Interpolation and inverse problems in spectral Barron spaces.
On Generalized Barron Spaces for Shallow Neural Networks Interpolation and inverse problems in spectral Barron spaces
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T20:00:01.312423Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2beae09d-f5ea-4534-8e71-a43862fe5675 · outbound
This paper cites Pereverzev.Regularization theory for ill-posed problems, volume 58.
On Generalized Barron Spaces for Shallow Neural Networks Pereverzev.Regularization theory for ill-posed problems, volume 58
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.900574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3faaf871-ca4a-4e94-a34e-4990a9d1fd9e · outbound
This paper cites A logical calculus of the ideas immanent in nervous activity (1943).
On Generalized Barron Spaces for Shallow Neural Networks A logical calculus of the ideas immanent in nervous activity (1943)
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.880920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7c7aa1f8-f9b8-42d3-85a6-031966d44a03 · outbound
This paper cites A new function space from Barron class and application to neural network approximation.Commun.
On Generalized Barron Spaces for Shallow Neural Networks A new function space from Barron class and application to neural network approximation.Commun
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.865661Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7f22574c-2a5b-4f17-a381-96575048ca62 · outbound
This paper cites an unresolved cited work.
On Generalized Barron Spaces for Shallow Neural Networks Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:00:01.848768Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 05c1584e-7f2f-4f64-906f-d70d467bf543 · outbound
This paper cites an unresolved cited work.
On Generalized Barron Spaces for Shallow Neural Networks Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T20:00:01.831873Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4ad39eb6-084e-4146-ab47-0eb7278d28cc · outbound
This paper cites Longman Scientific & Technical, Harlow, 1993.
On Generalized Barron Spaces for Shallow Neural Networks Longman Scientific & Technical, Harlow, 1993
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.811896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 53219cb2-5348-4446-bb8c-4b09c2ef666d · outbound
This paper cites The perceptron: a probabilistic model for information storage and orga- nization (1958).
On Generalized Barron Spaces for Shallow Neural Networks The perceptron: a probabilistic model for information storage and orga- nization (1958)
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.791975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8f1f9d6e-c406-4a82-a9a2-44ff152598a7 · outbound
This paper cites Siegel and Jinchao Xu.
On Generalized Barron Spaces for Shallow Neural Networks Siegel and Jinchao Xu
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.772217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1569c073-242a-460c-8357-cd0efc995d9c · outbound
This paper cites Siegel and Jinchao Xu.
On Generalized Barron Spaces for Shallow Neural Networks Siegel and Jinchao Xu
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.754661Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 71744ada-ef9e-498d-afbc-0c490f6c9b8a · outbound
This paper cites Siegel and Jinchao Xu.
On Generalized Barron Spaces for Shallow Neural Networks Siegel and Jinchao Xu
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.735833Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 51b12a8c-bae7-45e6-8355-458fa47b9a11 · outbound
This paper cites Siegel and Jinchao Xu.
On Generalized Barron Spaces for Shallow Neural Networks Siegel and Jinchao Xu
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.717471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cd5ecba6-e2e6-404d-a08d-e1bab533308a · outbound
This paper cites Implicit neural representations with periodic activation functions.
On Generalized Barron Spaces for Shallow Neural Networks Implicit neural representations with periodic activation functions
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.691050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7ae1ae9f-13b9-4c93-96ed-41fbb2258786 · outbound
This paper cites Embedding inequalities for Barron-type spaces.J.
On Generalized Barron Spaces for Shallow Neural Networks Embedding inequalities for Barron-type spaces.J
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.667198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 396f2e50-09fe-4658-88bb-2226429af796 · outbound
This paper cites Finite neuron method and convergence analysis.Commun.
On Generalized Barron Spaces for Shallow Neural Networks Finite neuron method and convergence analysis.Commun
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.647085Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation edfd1d0d-71dc-4e53-a0eb-ee8bb91a3278 · outbound
This paper cites Error bounds for approximations with deep ReLU networks.Neural Networks, 94:103–114, 2017.
On Generalized Barron Spaces for Shallow Neural Networks Error bounds for approximations with deep ReLU networks.Neural Networks, 94:103–114, 2017
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T20:00:01.404048Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98703297-2cdf-499a-9fa1-6bbe89347188 · outbound
This paper cites Universality of deep convolutional neural networks.Appl.
On Generalized Barron Spaces for Shallow Neural Networks Universality of deep convolutional neural networks.Appl
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T20:00:01.615855Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
No inbound Pith citation observations are available.