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Paper Citation Record · LEDGER

On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2501.09987.

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

pith.paper-citation-record.v1
2501.09987 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:23:51.649226Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T12:32:36.182118Z

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 08b69060-4500-4011-aef3-cf2b25a921ef · inbound

A Greedy PDE Router for Blending Neural Operators and Classical Methods cites this paper.

A Greedy PDE Router for Blending Neural Operators and Classical Methods On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-18T12:32:36.185433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-18T12:32:13.577474Z digest=sha256:c09c70659186861f85ba9cf511cfe7aec1e7d16154dfd75e8b463ed06806adbc

Observation 289179aa-29c7-4ffd-ba23-8775cefd29d8 · inbound

SUPER Module for Detail-Sensitive and Cost-Efficient U-Net Variant Decoders cites this paper.

SUPER Module for Detail-Sensitive and Cost-Efficient U-Net Variant Decoders On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-03T22:23:51.649226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:23:51.649226Z digest=sha256:66295b00f0eb5689c40ff24df19a397a9e20989aca7f6a665ecbb802dfb614a7

Observation c16cf52b-7a8c-40cc-984f-92951f13f01f · inbound

On the Convergence Behavior of Preconditioned Gradient Descent Toward the Rich Learning Regime cites this paper.

On the Convergence Behavior of Preconditioned Gradient Descent Toward the Rich Learning Regime On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-16T17:23:09.967086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-16T17:21:48.237907Z digest=sha256:12d530e40dea4e6c1bba5ccec0ee4a8ce94b332d4d2219fa523bd3fa3d6d5d17