Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-25T08:30:15.509880Z
Paper Citation Record · LEDGER
Spectral-inspired Operator Learning with Limited Data and Unknown Physics
As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2505.21573.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:30:46.877124Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-16T00:30:47.000713Z
Reference resolution
16 of 16 outbound references displayed
- verified exact3
- verified fuzzy10
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8737ff09-c091-4595-9349-7c0ab923b5cb · outbound
This paper cites Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing.
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-05-25T08:30:31.466693Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 73cca18f-da52-4a7c-a7a9-db2419cf1360 · outbound
This paper cites Unisolver: PDE-Conditional Transformers Towards Universal Neural PDE Solvers.
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Unisolver: PDE-Conditional Transformers Towards Universal Neural PDE Solvers
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-25T08:30:31.459826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 92d5636b-7055-4ef2-9c7a-6f561af9d2ef · outbound
This paper cites Dmitrii Kochkov, Jamie A Smith, Ayya Alieva, Qing Wang, Michael P Brenner, and Stephan Hoyer.
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Dmitrii Kochkov, Jamie A Smith, Ayya Alieva, Qing Wang, Michael P Brenner, and Stephan Hoyer
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T08:30:32.304553Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5b46b1e5-9914-4fe4-9370-fd235a871715 · outbound
This paper cites doi:10.1016/j.jcp.2019.108925.
Spectral-inspired Operator Learning with Limited Data and Unknown Physics doi:10.1016/j.jcp.2019.108925
Reference 4
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-25T08:30:30.987279Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d98c6009-0fa1-44a8-b6c2-e9c118578c6c · outbound
This paper cites Recent Advances on Machine Learning for Computational Fluid Dynamics: A Survey.
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Recent Advances on Machine Learning for Computational Fluid Dynamics: A Survey
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-05-25T08:30:31.472817Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e344693b-3cb1-46f4-b5e5-9a1aff90806c · outbound
This paper cites Gen.” denotes the resolution/time step used for generating high-fidelity data with spectral solvers. “DOL.
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Gen.” denotes the resolution/time step used for generating high-fidelity data with spectral solvers. “DOL
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T08:30:32.300094Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 15581d61-9020-4c1d-9288-087a10f95630 · outbound
This paper cites In particular, the NSE dataset was generated using an open-source implementation from (Li et al., 2021).
Spectral-inspired Operator Learning with Limited Data and Unknown Physics In particular, the NSE dataset was generated using an open-source implementation from (Li et al., 2021)
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T08:30:32.311606Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a9163b1d-07a9-45e5-a028-1becedb4c3ac · outbound
This paper cites an unresolved cited work.
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-05-25T08:30:32.307699Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 928c6b3a-3501-4d37-a97b-cbc6a84b9e98 · outbound
This paper cites Details of baseline models are provided as follows: Fourier Neural Operator (FNO)(Li et al., 2021).
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Details of baseline models are provided as follows: Fourier Neural Operator (FNO)(Li et al., 2021)
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T08:30:32.269148Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cacfebfa-9d41-45ac-a92b-3621993c8af6 · outbound
This paper cites Factorized Fourier Neural Operator (FFNO)(Tran et al., 2023).
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Factorized Fourier Neural Operator (FFNO)(Tran et al., 2023)
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T08:30:32.289176Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e96d984e-320a-4637-88e1-5e788490ed67 · outbound
This paper cites CNext(Liu et al., 2022; Ohana et al., 2024).
Spectral-inspired Operator Learning with Limited Data and Unknown Physics CNext(Liu et al., 2022; Ohana et al., 2024)
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T08:30:32.292522Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 83a00cbd-0906-4dc2-9fff-9e304b560e10 · outbound
This paper cites Cross-Resolution Operator-learning Pipeline (CROP)(Gao et al., 2025).
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Cross-Resolution Operator-learning Pipeline (CROP)(Gao et al., 2025)
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T08:30:32.280908Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 801326c8-21b4-4bb6-9f4f-6d42197da693 · outbound
This paper cites Physics-embedded Recurrent-Convolutional Neural Network (PeRCNN)(Rao et al., 2023).
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Physics-embedded Recurrent-Convolutional Neural Network (PeRCNN)(Rao et al., 2023)
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T08:30:32.273149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation eb3b26dd-7afb-4abd-92b1-ced7fc00ec44 · outbound
This paper cites Physics-encoded Spectral Attention Network (PeSANet)(Wan et al., 2025).
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Physics-encoded Spectral Attention Network (PeSANet)(Wan et al., 2025)
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T08:30:32.277053Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8efb9029-cd27-4201-ba57-fff2664cdcbe · outbound
This paper cites For hyperparameter tuning, we searched over the network width (32, 64.
Spectral-inspired Operator Learning with Limited Data and Unknown Physics For hyperparameter tuning, we searched over the network width (32, 64
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T08:30:32.285497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 948eb151-8e2f-4571-970e-d7cd82389e37 · outbound
This paper cites an unresolved cited work.
Spectral-inspired Operator Learning with Limited Data and Unknown Physics Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-05-25T08:30:32.295878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
Observation 23bf282c-ee4f-4911-a4c9-323620545542 · inbound
Distillation of Foundation Models for Time-dependent PDEs cites this paper.
Distillation of Foundation Models for Time-dependent PDEs Spectral-inspired Operator Learning with Limited Data and Unknown Physics
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T00:30:47.006902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.