Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
On the Banach spaces associated with multi-layer ReLU networks: Function representation, approximation theory and gradient descent dynamics
As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2007.15623.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T18:41:00.671545Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T02:28:24.338817Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
24
pith, observed 2026-08-05T02:28:24.338817Z
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation f72d64a3-b50a-4e92-b202-d619de9f0f83 · inbound
Solving the Poisson Equation with Dirichlet data by shallow ReLU$^\alpha$-networks: A regularity and approximation perspective cites this paper.
Solving the Poisson Equation with Dirichlet data by shallow ReLU$^\alpha$-networks: A regularity and approximation perspective On the Banach spaces associated with multi-layer ReLU networks: Function representation, approximation theory and gradient descent dynamics
Reference 2022
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T18:41:00.671545Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dfb65e97-1ed1-4e44-9f18-5d8412006658 · inbound
Path Regularization: A Near-Complete and Optimal Nonasymptotic Generalization Theory for Multilayer Neural Networks and Double Descent Phenomenon cites this paper.
Path Regularization: A Near-Complete and Optimal Nonasymptotic Generalization Theory for Multilayer Neural Networks and Double Descent Phenomenon On the Banach spaces associated with multi-layer ReLU networks: Function representation, approximation theory and gradient descent dynamics
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T01:05:16.075357Z
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 5388eb5d-bc15-4a32-a8c9-000daecd68de · inbound
A First-Principles Theory of Slow Thinking and Active Perception cites this paper.
A First-Principles Theory of Slow Thinking and Active Perception On the Banach spaces associated with multi-layer ReLU networks: Function representation, approximation theory and gradient descent dynamics
Reference 51
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T11:37:03.107479Z
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 f4c45030-0b5e-4e89-b8cc-a101e9049788 · inbound
The Barron-Lipschitz Energy Gap and Depth Separation Phenomena in Scientific Machine Learning cites this paper.
The Barron-Lipschitz Energy Gap and Depth Separation Phenomena in Scientific Machine Learning On the Banach spaces associated with multi-layer ReLU networks: Function representation, approximation theory and gradient descent dynamics
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T01:22:49.046736Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.