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Paper Citation Record · LEDGER

Machine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2110.06897.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2110.06897 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:02:56.695388Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-08T08:54:48.820886Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d742f177-91c1-4d92-8f10-1ce7ffb62676 · inbound

Unifying Learning Dynamics and Generalization in Transformers Scaling Law cites this paper.

Unifying Learning Dynamics and Generalization in Transformers Scaling Law Machine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-03T14:02:56.695388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:02:56.695388Z digest=sha256:ab8d5adf8c2b7c5c50b485c62598fcd2b9cb173dc6e856e0549ed4c5b60c6c04

Observation 144b2457-b578-4186-9373-6790c9178cdf · inbound

Posterior Concentration of Bayesian Physics-Informed Neural Networks for Elliptic PDEs cites this paper.

Posterior Concentration of Bayesian Physics-Informed Neural Networks for Elliptic PDEs Machine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-12T08:06:28.639356Z

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.

source=pdf_text observed=2026-05-12T01:19:06.747356Z digest=sha256:a3fd73d54cefa45f0e00e83847c8263e9b64f68c541674f8e3f9a67538de528f

Observation 52e38138-a066-4e1a-942e-59a1e76c9c2a · inbound

Concentration Inequalities for Sample Cross-Covariances cites this paper.

Concentration Inequalities for Sample Cross-Covariances Machine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality

Reference 295

Resolution
verified exact
arxiv_id, observed 2026-05-19T20:27:48.955192Z

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.

source=arxiv_source observed=2026-05-19T20:27:05.833494Z digest=sha256:9377caa795fbe5beaf2583f9bc344c2b3e1e9ebb2b5d4d0f199f4619fcd374b2

Observation 8fe8e3ce-7509-4d1a-a9ca-202fad28ab0b · inbound

Feature Learning for the High Dimensional Stationary Sch\"odinger Equation with Deep Ritz Method cites this paper.

Feature Learning for the High Dimensional Stationary Sch\"odinger Equation with Deep Ritz Method Machine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality

Reference 33

Resolution
metadata mismatch
local_arxiv, observed 2026-07-08T08:54:48.822967Z

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.

source=pdf_text observed=2026-07-08T08:53:58.014772Z digest=sha256:d22572d9f2193bedf9966936aafb343489fd4df2afb6822e43f6c0b4d7c04460

Observation 728abed7-90df-4a3e-81d3-1e02294adef1 · inbound

Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method cites this paper.

Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method Machine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-07-31T01:28:50.918033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T01:28:50.918033Z digest=sha256:845a9de3928ada3350a62dbf502ff58171219b2d9043c135cb6e6c96f2617637