Paper Citation Record · LEDGER

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks

As of 19 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:2501.11222.

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

pith.paper-citation-record.v1
2501.11222 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:37:42.809723Z

measured 53 of 53 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:55:55.785962Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T17:55:57.221287Z

Reference resolution

52 of 52 outbound references displayed

verified exact2
verified fuzzy12
unresolved38
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1507d92f-9f2c-4724-b087-fac154deb388 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 1

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Source-reported events for the cited work

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Observation 142cd9dd-81b4-476f-b7d6-9e2d18f681c5 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 2

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Observation be7e7b1e-c288-4142-8c74-d91d4f06bf0f · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 3

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Observation c92ee8f0-c76c-4f83-8541-76c5101e7b2f · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 4

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Observation 93a55c67-fdb2-43e8-ba46-ade4fc3cee47 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 5

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Observation 4828a335-36c8-41e7-b686-5e9d1246a2e5 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 6

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Observation f0b4b9c7-610c-4b4e-b1ed-cfa030907301 · outbound

This paper cites Vaswani, N.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Vaswani, N

Reference 7

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Observation e8d7367c-fab0-4fdf-9c67-4da3875fec1c · outbound

This paper cites LeCun, Y.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks LeCun, Y

Reference 8

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Observation 168d4bff-3b4c-4d12-b0ca-ba7750b8a086 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 9

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Observation c19e63d5-be60-43c2-8d26-039c8af73b25 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 10

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Observation 1bcbba41-e29a-453a-85e3-5fa63259e5a4 · outbound

This paper cites Sirignano, K.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Sirignano, K

Reference 11

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Observation 8202fd93-ca1d-4d3b-95c4-5650c7ef4b13 · outbound

This paper cites Weinan, B.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Weinan, B

Reference 12

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Observation aa882634-5d9d-41f4-bf9a-6e7caab5c594 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 13

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Observation 03a9fbcb-9bfe-4489-8d56-b4a7e3e5c901 · outbound

This paper cites Raissi, P.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Raissi, P

Reference 14

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Observation 122eb3c4-253e-4284-967d-b4b22eea6789 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 15

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Observation 7b00b3ed-6ba5-4dd9-85bf-8d7f088974d1 · outbound

This paper cites Raissi, A.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Raissi, A

Reference 16

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Observation 1c336f5a-8c9f-406d-a712-54116921ec19 · outbound

This paper cites Yazdani, L.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Yazdani, L

Reference 17

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Observation def5404f-a3ef-41d6-8a05-37879b4574c1 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 18

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Observation a924ae85-4b66-4e26-b965-526c29dc9ec5 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 19

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Observation 6fd02865-2fdc-4877-8824-43a7d7e20055 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 20

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Observation 90bfe2ab-54b8-4bb7-a5f2-ba425a7c5ae0 · outbound

This paper cites Zhang, L.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Zhang, L

Reference 21

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Observation e1e9f7e8-1cc9-4b34-a112-101bcf5fd558 · outbound

This paper cites Zheng, Y.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Zheng, Y

Reference 22

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Observation c2ab90d1-56ff-47c7-9e8b-ad3b3fe41ddf · outbound

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An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Huang, W

Reference 23

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Observation 10ee2efc-c3f4-4cae-a213-5f6a00198161 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 24

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Observation 200a2ec2-d1fa-4467-b3b6-155497c60964 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 25

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Observation cc026cff-c0ed-45b2-bde5-56d80ea31e1a · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 26

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An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 27

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Observation 06b7ac01-aba9-4938-906c-aee0906d265c · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 28

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An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 29

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Observation 7765bb13-ec7e-4e4d-b25a-b4c28e1af7d6 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 30

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Observation a5cea170-6a50-4dc2-91c5-2b6426301afc · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 31

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Observation 8fc2ba26-a0cf-4f25-839b-f7d2a7af70de · outbound

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An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 32

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This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 33

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Observation 6c735031-5442-4bd7-972a-31f80d507d07 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 34

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Observation 4af2149b-1c8f-480d-a990-d070c0b1a0fe · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 35

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Observation 1acb97db-1b6c-4be4-a4d5-025ef789a71b · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 36

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Observation 8f708113-934b-4c82-a595-ed661b5f911c · outbound

This paper cites Kov´ acs, An empirical comparison and evaluation of minority over- sampling techniques on a large number of imbalanced datasets, Applied Soft Computing 83 (2019) 105662.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Kov´ acs, An empirical comparison and evaluation of minority over- sampling techniques on a large number of imbalanced datasets, Applied Soft Computing 83 (2019) 105662

Reference 37

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Observation 32ca9e5f-640a-4d80-9d8f-a3ae393f5ca5 · outbound

This paper cites Evans, Partial differential equations, Vol.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Evans, Partial differential equations, Vol

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:43.291864Z

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Observation 0a4e8735-6ebe-44b6-93ec-dcc67ee5533e · outbound

This paper cites Abu-Mostafa, The vapnik-chervonenkis dimension: Information ver- sus complexity in learning, Neural Computation 1 (3) (1989) 312–317.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Abu-Mostafa, The vapnik-chervonenkis dimension: Information ver- sus complexity in learning, Neural Computation 1 (3) (1989) 312–317

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:43.269938Z

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Observation ca1647b2-ea0d-4270-9666-65805c1aab64 · outbound

This paper cites Optimal Approximation Rates for Deep ReLU Neural Networks on Sobolev and Besov Spaces.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Optimal Approximation Rates for Deep ReLU Neural Networks on Sobolev and Besov Spaces

Reference 40

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Observation 117c4e45-40b8-426a-8621-eb5aef55f041 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 41

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Observation 0e23520c-9d57-4e2d-b84e-48917ac133c7 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 42

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Observation 78fc962b-553b-4a00-ad9f-2a7028babc06 · outbound

This paper cites Nearly Optimal Approximation Rates for Deep Super ReLU Networks on Sobolev Spaces.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Nearly Optimal Approximation Rates for Deep Super ReLU Networks on Sobolev Spaces

Reference 43

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Observation e7b53a7a-d45f-45ac-b290-1f32d7855b9f · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:37:43.207711Z

Source-reported events for the cited work

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Observation 161c50b4-b6e4-481f-bb7b-b8a4652f7380 · outbound

This paper cites Pollard, Empirical processes: theory and applications, Ims, 1990.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Pollard, Empirical processes: theory and applications, Ims, 1990

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:43.186526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0775f836-a36b-4f07-8a35-9cc1195fb428 · outbound

This paper cites Schmidt-Hieber, Nonparametric regression using deep neural net- works with relu activation function (2020).

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Schmidt-Hieber, Nonparametric regression using deep neural net- works with relu activation function (2020)

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:43.164674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 721db7be-ed5a-4c5d-ad88-9cf889ac6863 · outbound

This paper cites Error Analysis of Deep Ritz Methods for Elliptic Equations.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Error Analysis of Deep Ritz Methods for Elliptic Equations

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:37:43.003608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5e4cdf3f-0792-4e95-9428-f4753253e3f5 · outbound

This paper cites Anthony, P.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Anthony, P

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:43.140170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d9149360-5ec8-4c08-828e-7e5e62a66df7 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:37:43.119086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4ffa71a8-b661-44cf-bf9e-5542c5c81dbc · outbound

This paper cites Bartlett, N.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Bartlett, N

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:43.096531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c58f1333-28c0-4b86-93d8-3fdda559dc88 · outbound

This paper cites Gy¨ orfi, M.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Gy¨ orfi, M

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:43.076956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0f2474aa-6141-4e38-acb6-27c66dc9ecc1 · outbound

This paper cites an unresolved cited work.

An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks Unresolved cited work

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-10T18:37:42.809723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation a0c13a41-c02f-4e11-8d44-313d26c0b843 · inbound

Energy Dissipation Rate Guided Adaptive Sampling for Physics-Informed Neural Networks: Resolving Surface-Bulk Dynamics in Allen-Cahn Systems cites this paper.

Energy Dissipation Rate Guided Adaptive Sampling for Physics-Informed Neural Networks: Resolving Surface-Bulk Dynamics in Allen-Cahn Systems An Imbalanced Learning-based Sampling Method for Physics-informed Neural Networks

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:55:57.282938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.