Paper Citation Record · LEDGER

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation

As of 8 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 2 inbound Pith citation observations for arXiv:2512.09165.

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

pith.paper-citation-record.v1
2512.09165 v2

Coverage vector

measured 66 of 66 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T17:33:57.097195Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T14:57:17.751127Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

66 of 66 outbound references displayed

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External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation e84060a3-bffa-4280-9807-b8833fcea84c · outbound

This paper cites an unresolved cited work.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T17:33:49.595185Z

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Observation fd612880-3888-46af-b5c2-371e8279852d · outbound

This paper cites Gottlieb, S.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Gottlieb, S

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T17:33:49.644935Z

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Observation 7a91da6a-05a4-452a-814d-882d77542a73 · outbound

This paper cites an unresolved cited work.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 3

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Observation 2922bcbe-bd89-4107-b5d5-325935bcb521 · outbound

This paper cites Cybenko, Approximation by superpositions of a sigmoidal function, Mathematics of Control, Signals and Systems 2 (4) (1989) 303–314.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Cybenko, Approximation by superpositions of a sigmoidal function, Mathematics of Control, Signals and Systems 2 (4) (1989) 303–314

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T17:33:49.799606Z

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Observation 26cf0161-01c7-411c-b380-9fd8291ee662 · outbound

This paper cites Hornik, M.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Hornik, M

Reference 5

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Observation d7dffb2b-f00d-41b4-ab18-88fd18ba1a9a · outbound

This paper cites Poggio, F.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Poggio, F

Reference 6

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Observation 1fbd75c9-d788-47c3-b97a-f9d63dc489c2 · outbound

This paper cites an unresolved cited work.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 7

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Observation da9f8fe7-934e-46e9-ae5e-7048646a20ad · outbound

This paper cites Sirovich, Turbulence and the dynamics of coherent structures, Quarterly of Applied Mathematics 45 (3) (1987) 561–571.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Sirovich, Turbulence and the dynamics of coherent structures, Quarterly of Applied Mathematics 45 (3) (1987) 561–571

Reference 8

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Observation 07f8418d-c580-49b2-b42b-975421008dba · outbound

This paper cites Berkooz, P.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Berkooz, P

Reference 9

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Observation c72a0aa7-bf59-409f-887f-8372cdc6c8dc · outbound

This paper cites an unresolved cited work.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 10

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 11

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Observation 9ec53da1-e0f0-4491-bf83-261bd2cc15f4 · outbound

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 12

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Observation 588b8e35-eeb2-42f3-99c5-a919d9370edc · outbound

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 13

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Observation b32f2894-52c8-4587-a74a-5d07175c46e7 · outbound

This paper cites Kovachki, Z.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Kovachki, Z

Reference 14

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Observation 4ed44c78-291e-4ff4-8f7d-2e2c698daccc · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Fourier Neural Operator for Parametric Partial Differential Equations

Reference 15

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Observation d4507886-a9ad-463c-ac18-bd617347a817 · outbound

This paper cites Tripura, S.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Tripura, S

Reference 16

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Observation 20c700a3-4e71-4661-8cc0-d9b8278f18b7 · outbound

This paper cites Gupta, X.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Gupta, X

Reference 17

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Observation a75580c1-d189-44dc-8888-24cf679b25d6 · outbound

This paper cites Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs

Reference 18

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Observation c449a8d5-ba93-4b79-b7c1-94425dda99a5 · outbound

This paper cites MgFNO: Multi-grid Architecture Fourier Neural Operator for Parametric Partial Differential Equations.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation MgFNO: Multi-grid Architecture Fourier Neural Operator for Parametric Partial Differential Equations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T17:33:52.189961Z

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Observation d9ea03fd-2e0c-4e46-b720-f32da67d6484 · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T17:33:52.394065Z

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Observation 52ff3fa1-b952-4cef-bedb-9e8cb2ab2033 · outbound

This paper cites Multipole Graph Neural Operator for Parametric Partial Differential Equations.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Multipole Graph Neural Operator for Parametric Partial Differential Equations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T17:33:52.601491Z

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This paper cites an unresolved cited work.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 22

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Observation 7156b8fa-4da3-4355-aa66-93af258c386e · outbound

This paper cites an unresolved cited work.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 23

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Observation 23098224-bdb9-4482-a155-0fbc0c9b50ea · outbound

This paper cites Huang, K.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Huang, K

Reference 24

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Observation 47c1234c-dcf6-4bcb-8bb0-b8011c940ea0 · outbound

This paper cites an unresolved cited work.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 25

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Observation e8540f74-17ab-41b8-91ab-82e0271d5a10 · outbound

This paper cites an unresolved cited work.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 26

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Observation 0e062406-a767-41c5-9164-194ff7ca0ef9 · outbound

This paper cites Batlle, M.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Batlle, M

Reference 27

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Observation a4d9314b-2d65-4531-891f-2f40db2d8b26 · outbound

This paper cites Kumar, R.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Kumar, R

Reference 28

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This paper cites an unresolved cited work.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 29

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Observation b474e4dd-e7b0-4b84-9810-47a1f1027e4f · outbound

This paper cites O’Leary-Roseberry, Y.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation O’Leary-Roseberry, Y

Reference 30

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 31

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 32

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

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This paper cites Huang, Y.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Huang, Y

Reference 35

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 36

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Jafarzadeh, S

Reference 39

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

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This paper cites Bahmani, S.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Bahmani, S

Reference 41

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Zhong, H

Reference 43

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Physics-Informed Deep Neural Operator Networks

Reference 45

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation On the coupling instability of a gas jet impinging on a liquid film

Reference 46

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Learning to Describe for Predicting Zero-shot Drug-Drug Interactions

Reference 47

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Impact of QCD sum rules coupling constants on neutron stars structure

Reference 48

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Designing gradient coils with the shape derivative and the closed B-spline curves

Reference 49

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Tensor Decomposition Meets RKHS: Efficient Algorithms for Smooth and Misaligned Data

Reference 50

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Using Constraints to Discover Sparse and Alternative Subgroup Descriptions

Reference 51

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Huang, R

Reference 54

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation On the Spectral Bias of Neural Networks

Reference 56

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains

Reference 57

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

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Observation 5b2529f4-3639-4e8f-9657-e71af2032ce9 · outbound

This paper cites FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning

Reference 59

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Chebyshev Spectral Neural Networks for Solving Partial Differential Equations

Reference 63

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This paper cites Huang, H.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Huang, H

Reference 64

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Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Unresolved cited work

Reference 65

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This paper cites Zhang, Y.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Zhang, Y

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-03T17:33:56.907898Z

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Observation 25e66ecf-4336-4afe-9302-95c90f32607e · outbound

This paper cites Chebyshev Feature Neural Network for Accurate Function Approximation.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Chebyshev Feature Neural Network for Accurate Function Approximation

Reference 67

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This paper cites near-orthogonality.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation near-orthogonality

Reference 68

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Pith citing papers

Observation 21d0a9df-7dee-42ea-ad2e-9df1222b1165 · inbound

The impact of observation density on Bayesian inversion of latent dynamics in shock-dominated flows cites this paper.

The impact of observation density on Bayesian inversion of latent dynamics in shock-dominated flows Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-06-30T02:16:12.155947Z

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Observation b8c158fa-b067-41fb-a14c-d16f2ab58c8d · inbound

WLNO: Wavelet-Laplace Neural Operator for Solving Partial Differential Equations cites this paper.

WLNO: Wavelet-Laplace Neural Operator for Solving Partial Differential Equations Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-06-30T15:04:46.390671Z

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