Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:21:24.892199Z
Paper Citation Record · LEDGER
A posteriori analysis of neural network approximations
As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2507.06017.
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 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-26T15:56:53.406744Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T05:29:35.961875Z
Reference resolution
32 of 32 outbound references displayed
- verified exact2
- verified fuzzy26
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4164db2c-4e2c-4993-ac5b-eeb98fd52bc6 · outbound
This paper cites Aurada, M.
A posteriori analysis of neural network approximations Aurada, M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.669683Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 24e65089-3df6-4037-8cf1-b329f24e4591 · outbound
This paper cites Enforcing dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks.
A posteriori analysis of neural network approximations Enforcing dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.653261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation dc1e9e12-9df4-4e7f-8a0c-bbacb6debcd7 · outbound
This paper cites Bochev and Max D.
A posteriori analysis of neural network approximations Bochev and Max D
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.637757Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 34104b0e-995c-4556-9382-906186fa6356 · outbound
This paper cites Finite element interpolated neural networks for solving forward and inverse problems.
A posteriori analysis of neural network approximations Finite element interpolated neural networks for solving forward and inverse problems
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.622255Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3b036cb3-892d-4615-847a-25339ffbb802 · outbound
This paper cites Numerical solution of inverse problems by weak adversarial networks.
A posteriori analysis of neural network approximations Numerical solution of inverse problems by weak adversarial networks
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.599505Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9b3d3664-0012-409f-bbec-c949dd423804 · outbound
This paper cites Deep least-squares methods: An unsupervised learning-based numerical method for solving elliptic pdes.
A posteriori analysis of neural network approximations Deep least-squares methods: An unsupervised learning-based numerical method for solving elliptic pdes
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.583369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f07c2d21-0382-4717-998b-ae66f437cb66 · outbound
This paper cites A posteriori error control for DPG methods.
A posteriori analysis of neural network approximations A posteriori error control for DPG methods
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.565944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 95a093e8-90ef-4a04-ab71-aacae7617e65 · outbound
This paper cites Carstensen, L.
A posteriori analysis of neural network approximations Carstensen, L
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.549717Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7db17621-6b2e-426a-a410-d0b0fda5a791 · outbound
This paper cites Demkowicz and J.
A posteriori analysis of neural network approximations Demkowicz and J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.530808Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8306a96a-98ad-4b04-abfe-dfef82baf7c6 · outbound
This paper cites The discontinuous petrov–galerkin method.
A posteriori analysis of neural network approximations The discontinuous petrov–galerkin method
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.512890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 84ee0571-628c-4a28-a154-4014fb93e057 · outbound
This paper cites Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H( div ).
A posteriori analysis of neural network approximations Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H( div )
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.495812Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8df1ef56-a42e-4910-987b-5db616aabb9c · outbound
This paper cites A posteriori certification of PDE approximations with particular application to neural networks.
A posteriori analysis of neural network approximations A posteriori certification of PDE approximations with particular application to neural networks
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:21:25.147061Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3e858f29-ea35-48ca-bdd8-cda56c70786b · outbound
This paper cites Multilevel decompositions and norms for negative order S obolev spaces.
A posteriori analysis of neural network approximations Multilevel decompositions and norms for negative order S obolev spaces
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.478182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7794e2f2-5fce-4c85-a6f6-0a7e58fe4525 · outbound
This paper cites Hiptmair.
A posteriori analysis of neural network approximations Hiptmair
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.462600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 45f98d43-577f-45b9-9430-6840e2fc41e5 · outbound
This paper cites Characterizing possible failure modes in physics-informed neural networks.
A posteriori analysis of neural network approximations Characterizing possible failure modes in physics-informed neural networks
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.443600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f2994b91-9ea1-458d-8558-1e606b8f61e3 · outbound
This paper cites Variational Physics-Informed Neural Networks For Solving Partial Differential Equations.
A posteriori analysis of neural network approximations Variational Physics-Informed Neural Networks For Solving Partial Differential Equations
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:21:24.819465Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1003254-5e3b-4e0d-a7a3-05989069ef1d · outbound
This paper cites hp-vpinns: Variational physics-informed neural networks with domain decomposition.
A posteriori analysis of neural network approximations hp-vpinns: Variational physics-informed neural networks with domain decomposition
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.418207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b127a9d7-7f6d-4886-ae9b-be4fefa38f62 · outbound
This paper cites Deep learning.
A posteriori analysis of neural network approximations Deep learning
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.398242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c03d861e-50d6-49f1-89ca-d890ab8a3b6a · outbound
This paper cites Paddy Disease Detection and Classification Using Computer Vision Techniques: A Mobile Application to Detect Paddy Disease.
A posteriori analysis of neural network approximations Paddy Disease Detection and Classification Using Computer Vision Techniques: A Mobile Application to Detect Paddy Disease
Reference 19
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T19:21:25.096409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 610b7bc9-9b75-4b30-a2b8-25d5fdaa7394 · outbound
This paper cites Minimal residual methods in negative or fractional S obolev norms.
A posteriori analysis of neural network approximations Minimal residual methods in negative or fractional S obolev norms
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.379786Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fc5bc07e-0794-4852-beae-b4e423175ab6 · outbound
This paper cites Multilevel finite element approximation.
A posteriori analysis of neural network approximations Multilevel finite element approximation
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.363044Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f9614e1b-3475-4771-ac10-e9f635fb0682 · outbound
This paper cites Robust variational physics-informed neural networks.
A posteriori analysis of neural network approximations Robust variational physics-informed neural networks
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.346854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7d395cae-d985-43ed-b5da-ad79d7cec98c · outbound
This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.
A posteriori analysis of neural network approximations Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:21:24.852521Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b980d9ab-b18c-410d-8232-fbcae136dc15 · outbound
This paper cites Stephan and Thanh Tran.
A posteriori analysis of neural network approximations Stephan and Thanh Tran
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.306141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 74d0e47e-fb30-435c-9431-beaf484e8375 · outbound
This paper cites Uniform preconditioners for problems of negative order.
A posteriori analysis of neural network approximations Uniform preconditioners for problems of negative order
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.282258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation de5b71d1-1f0d-4047-adf3-02dc9940d7c5 · outbound
This paper cites Uniform preconditioners for problems of positive order.
A posteriori analysis of neural network approximations Uniform preconditioners for problems of positive order
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.261053Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b23fbc92-be0d-4893-a31c-d6a492c6b380 · outbound
This paper cites A deep fourier residual method for solving pdes using neural networks.
A posteriori analysis of neural network approximations A deep fourier residual method for solving pdes using neural networks
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.243372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 26ee1b2b-cfc9-4445-a8cb-679eff371370 · outbound
This paper cites Optimizing variational physics-informed neural networks using least squares.
A posteriori analysis of neural network approximations Optimizing variational physics-informed neural networks using least squares
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.219589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f559c938-5c74-4d17-9c22-140eef2fc189 · outbound
This paper cites Neural network methods for power series problems of perron-frobenius operators.
A posteriori analysis of neural network approximations Neural network methods for power series problems of perron-frobenius operators
Reference 29
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T19:21:25.071951Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8b557896-4ce4-4600-9774-f94c34a4b600 · outbound
This paper cites Verf\"urth.
A posteriori analysis of neural network approximations Verf\"urth
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.198417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 34fd85d4-8e98-4240-9092-0d3213d8d194 · outbound
This paper cites When and why pinns fail to train: A neural tangent kernel perspective.
A posteriori analysis of neural network approximations When and why pinns fail to train: A neural tangent kernel perspective
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:21:24.887870Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 247b1c16-6753-432a-899a-21ca6506fdc9 · outbound
This paper cites The deep ritz method: a deep learning-based numerical algorithm for solving variational problems.
A posteriori analysis of neural network approximations The deep ritz method: a deep learning-based numerical algorithm for solving variational problems
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:21:25.167055Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
Observation 09785a76-fec8-432e-a3fd-9fa5ec9a6b3a · inbound
Neural network approximation in discrete dual norms with adaptive test spaces cites this paper.
Neural network approximation in discrete dual norms with adaptive test spaces A posteriori analysis of neural network approximations
Reference 27
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T05:29:35.963688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.