Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T00:41:10.302928Z
Paper Citation Record · LEDGER
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators
As of 7 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.13120.
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 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
15 of 15 outbound references displayed
- verified exact0
- verified fuzzy4
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e1e8eca5-61e3-4429-a8c3-866d7c84adc3 · outbound
This paper cites Physical Design using Differentiable Learned Simulators.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Physical Design using Differentiable Learned Simulators
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:41:08.926300Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39bb1070-20ae-4a3a-8292-ef0239a47c90 · outbound
This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Fourier Neural Operator for Parametric Partial Differential Equations
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:41:09.352339Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4906564-1283-43ca-b89b-2cecee75a9a1 · outbound
This paper cites Dataset and Dataloader C.1.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Dataset and Dataloader C.1
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:41:10.949443Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8ce6597d-879f-4657-afbb-8049a9000c1f · outbound
This paper cites Neural Operators with Localized Integral and Differential Kernels.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Neural Operators with Localized Integral and Differential Kernels
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:41:09.540636Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f11a5806-a012-4cae-a96b-3c51b30a0606 · outbound
This paper cites Fast PDE-constrained optimization via self-supervised operator learning.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Fast PDE-constrained optimization via self-supervised operator learning
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:41:09.851287Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f2fbcd9-b17e-46c6-b7a1-538a326cfc71 · outbound
This paper cites Drone (a) (b) Figure 10: (a) The optimized density ε filtered by a threshold.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Drone (a) (b) Figure 10: (a) The optimized density ε filtered by a threshold
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:41:10.781911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5d0096e4-c1d7-44cc-95d0-e585223b0773 · outbound
This paper cites The only field variable of interest is displacement.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators The only field variable of interest is displacement
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:41:10.614666Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 354a0c76-e7da-40ec-8d3e-b3d9e119f5aa · outbound
This paper cites Factorized Fourier Neural Operators.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Factorized Fourier Neural Operators
Reference 1987
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:41:09.771304Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cf72d1fc-5674-4e89-84c6-24f49a831cfd · outbound
This paper cites Learning Neural PDE Solvers with Convergence Guarantees.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Learning Neural PDE Solvers with Convergence Guarantees
Reference 2016
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:41:09.122251Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b1eb490-8dee-41e0-b06b-faf913f93993 · outbound
This paper cites an unresolved cited work.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Unresolved cited work
Reference 2018
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:41:11.125261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 00031610-2122-43bd-8e6a-b0468ea6e71e · outbound
This paper cites Transformer for Partial Differential Equations' Operator Learning.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Transformer for Partial Differential Equations' Operator Learning
Reference 2020
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:41:09.463817Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0b56b4f-083f-4711-92f0-e0049760f787 · outbound
This paper cites Transolver: A Fast Transformer Solver for PDEs on General Geometries.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Transolver: A Fast Transformer Solver for PDEs on General Geometries
Reference 2021
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:41:09.932136Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4d81c443-2757-4020-af1b-d030bb8e4162 · outbound
This paper cites and Eberhart, R.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators and Eberhart, R
Reference 2022
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:41:11.303989Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c836b491-6bda-4852-9b85-e4b0f3816a2b · outbound
This paper cites Gaussian Error Linear Units (GELUs).
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Gaussian Error Linear Units (GELUs)
Reference 2023
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:41:09.006715Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eafd6cb0-bd98-46b0-9b3b-69f90fe2eaeb · outbound
This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.
Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
Reference 2024
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:41:09.672636Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.