Pith. sign in

Paper Citation Record · LEDGER

Can neural operators always be continuously discretized?

As of 12 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:2412.03393.

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

pith.paper-citation-record.v1
2412.03393 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:33:26.508062Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

57 of 57 outbound references displayed

  • verified exact7
  • verified fuzzy25
  • unresolved24
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7d90122f-aeab-413c-938d-28332f411f33 · outbound

This paper cites Neural operator: Learning maps between function spaces with applications to pdes.

Can neural operators always be continuously discretized? Neural operator: Learning maps between function spaces with applications to pdes

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:28.142237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:24.820616Z digest=sha256:a4e27bc3b0235a673eaee7c69fcb4b4c4819f7311ff9d813fb7af1404909b4fe

Observation 68d06a8d-dfdd-4d81-882f-6ce54a28b251 · outbound

This paper cites Deep learning methods for flood mapping: a review of existing applications and future research directions.

Can neural operators always be continuously discretized? Deep learning methods for flood mapping: a review of existing applications and future research directions

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:28.034515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:24.854733Z digest=sha256:77836764c518fcdfdc7b9594c419c444bf1795847e618e54ab06b2bc7b67f384

Observation a7dbfd1c-fb13-4f6a-9f5b-7f3ed68e6142 · outbound

This paper cites Physics-informed deep neural operator networks.

Can neural operators always be continuously discretized? Physics-informed deep neural operator networks

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.967592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:24.874284Z digest=sha256:cf5f16f34d11807950cf48dbe779852bea4631627e4a7352cbe3ee458b82be18

Observation 1ec297b8-7246-492f-ab7f-00ca93a2f4aa · outbound

This paper cites Fourier neural operator with learned deformations for pdes on general geometries.

Can neural operators always be continuously discretized? Fourier neural operator with learned deformations for pdes on general geometries

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:24.914915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:24.914915Z digest=sha256:ae42b33b98fc0e27504fbdf4be7a2abf49f1368d1a51fe51817f0549fbec857c

Observation 1f8bdbb7-bc20-4112-809b-34cd76ea5860 · outbound

This paper cites Scientific discovery in the age of artificial intelligence.

Can neural operators always be continuously discretized? Scientific discovery in the age of artificial intelligence

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:24.959131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:24.959131Z digest=sha256:e80641729dee66b53359f30b7cd7024a861ce7efe0515716b41d39492336d53f

Observation 54025cf5-5c11-4448-8e9d-5c5da083d366 · outbound

This paper cites Integrating scientific knowledge with machine learning for engineering and environmental systems.

Can neural operators always be continuously discretized? Integrating scientific knowledge with machine learning for engineering and environmental systems

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.943355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:24.963469Z digest=sha256:a0877df665270b37d2521b2d93a26fa9776e1c284285e5c985779e45509673b3

Observation 7edb6dba-994a-45ce-bc2f-8b9611b65c09 · outbound

This paper cites The reversible residual network: Backpropagation without storing activations.

Can neural operators always be continuously discretized? The reversible residual network: Backpropagation without storing activations

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.931037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:24.973769Z digest=sha256:04720bd89e10df9e1c912d2571bbf30a8d6aada771522428f3297ab8b9c693e1

Observation 1a409fad-716a-438f-b9d2-950027474721 · outbound

This paper cites Universal approximation property of invertible neural networks.

Can neural operators always be continuously discretized? Universal approximation property of invertible neural networks

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.920016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:24.983303Z digest=sha256:7de88fc3376215b27358bd021130f574ca080775e91170eb74ffd0d0f08dab63

Observation b02a8cde-51ca-4916-b6ed-de1028060605 · outbound

This paper cites Non-euclidean universal approximation.

Can neural operators always be continuously discretized? Non-euclidean universal approximation

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.909254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:24.993354Z digest=sha256:17c9e77e791f4dc4150b437d24bea30b307a2f1ba53ab9354e1a3bf26edbe6e9

Observation 162020ae-0bfa-4a41-9282-72a38c05fac9 · outbound

This paper cites Globally injective relu networks.

Can neural operators always be continuously discretized? Globally injective relu networks

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.898347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.003148Z digest=sha256:ab1b3de2738bfea5e3b8dc22a60413ecc0ad1937e04babaf9faed0fbea3091c7

Observation d8524fcd-ede4-4290-899a-c7b32b428267 · outbound

This paper cites Coupling-based invertible neural networks are universal diffeomorphism approximators.

Can neural operators always be continuously discretized? Coupling-based invertible neural networks are universal diffeomorphism approximators

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.887261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.012173Z digest=sha256:2256e1f752e6a0c1c2ee393c2867c6ae64ce484adf3c2f6db391066d0194c483

Observation 587306eb-cfa4-4b84-90b3-87235dda5411 · outbound

This paper cites Image style transfer using convolutional neural networks.

Can neural operators always be continuously discretized? Image style transfer using convolutional neural networks

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.876519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.021754Z digest=sha256:d386fae2f5a7955616d36c693dc422efc462cd0605e7ead4b5916108a9c176d4

Observation 2befd339-0fff-4b90-9035-bf81097080dc · outbound

This paper cites Diffusion generative models in infinite dimensions.

Can neural operators always be continuously discretized? Diffusion generative models in infinite dimensions

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.866440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.033734Z digest=sha256:b07297ede38eb571bd584e439d0af19896b94e74811bbd5e4ce25a50405865e7

Observation 233efb30-56a3-471b-aa39-95fd309dfeb9 · outbound

This paper cites Error estimates for deeponets: A deep learning framework in infinite dimensions.

Can neural operators always be continuously discretized? Error estimates for deeponets: A deep learning framework in infinite dimensions

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.811276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.056036Z digest=sha256:3bf09d96e46404e26dbcd87e4e2949f6d0c61e2e23cf8cbe4937f83a0b97b9eb

Observation 701d97e5-7d99-40e6-b6e3-33dd34f4c1cd · outbound

This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

Can neural operators always be continuously discretized? DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:25.091989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:25.091989Z digest=sha256:25658af8f6e6f874446845e155d6cf40f92bec0136f0a4ea9d22774aefac280c

Observation 9f2b5bb1-4c2f-4ec3-b22a-c11c1a293d30 · outbound

This paper cites Model reduction and neural networks for parametric pdes.

Can neural operators always be continuously discretized? Model reduction and neural networks for parametric pdes

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.718352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.137222Z digest=sha256:5ab4e5f71787d1e8598e6fe6aacdae4e38bbfe880e1675e0f7bafa7d6f96e71c

Observation bc3f3879-d205-4d84-9061-4f1b0f501bb9 · outbound

This paper cites The Cost-Accuracy Trade-Off In Operator Learning With Neural Networks.

Can neural operators always be continuously discretized? The Cost-Accuracy Trade-Off In Operator Learning With Neural Networks

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:25.178328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:25.178328Z digest=sha256:5fb38b862e6e9c19d3345e230fcc2ce525dab3cc72cbba43b8fdaeed73888d4d

Observation 16136c73-5fca-4497-8859-25a59cf68d0a · outbound

This paper cites Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces.

Can neural operators always be continuously discretized? Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces

Reference 18

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T22:33:27.083729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.201209Z digest=sha256:2f3a5e11f602cff3e477d71ae1f2f42903a80ce7ef74b3137c17794990d82e93

Observation 29c4a682-ad46-4907-844d-606a30e0115b · outbound

This paper cites Globally injective and bijective neural operators.

Can neural operators always be continuously discretized? Globally injective and bijective neural operators

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:25.262964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:25.262964Z digest=sha256:641fdcd333eb4d9d22105e660a9c636db83a4fb904a88436b003dd064aa9f658

Observation 4f0914a7-f387-4e1b-adb7-262bfd878bcb · outbound

This paper cites Discretization error of fourier neural operators.

Can neural operators always be continuously discretized? Discretization error of fourier neural operators

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:25.312843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:25.312843Z digest=sha256:530f2f9d0600de3be0df248110de99e92ee7c2321ccd8d20bbc0fb9fae9e0401

Observation 7d493b81-20b6-41ff-be81-ca3c1692f0d8 · outbound

This paper cites Mathematical foundations of infinite-dimensional statistical models.

Can neural operators always be continuously discretized? Mathematical foundations of infinite-dimensional statistical models

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.555365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.327918Z digest=sha256:4164e71de40830bf31c1ca4cdb38dc44092a517bd8d8b4d3307d8352673e5a63

Observation e36e562a-8b6f-4593-a08a-fc93e40b4cdb · outbound

This paper cites a chter, Dmytro Perekrestenko, Philipp Grohs, and Helmut B \.

Can neural operators always be continuously discretized? a chter, Dmytro Perekrestenko, Philipp Grohs, and Helmut B \

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.493478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.345390Z digest=sha256:9745168ba0dbc13f11e1c48177c49d53e4d975d420e56596e09eca910dc5c7e6

Observation d6d37f2f-fe0e-4412-8d49-fa3ceec62a2f · outbound

This paper cites Position: Categorical Deep Learning is an Algebraic Theory of All Architectures.

Can neural operators always be continuously discretized? Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:25.427496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:25.427496Z digest=sha256:0ec72d21c5f9e73a792c90a577bcee347dae2f6b7763a252e808f062a38947e0

Observation cbe41b55-2e14-4e91-b66f-b5d741809a5e · outbound

This paper cites On locking and robustness in the finite element method.

Can neural operators always be continuously discretized? On locking and robustness in the finite element method

Reference 24

Resolution
verified exact
doi, observed 2026-08-11T22:33:26.874578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.455265Z digest=sha256:3ea6aeedb85650919d770a350b1ddecd02e9115e51db4c79837b7e070b09aed9

Observation 1e00cb27-97cf-4230-a596-7b39e8573b76 · outbound

This paper cites Locking effects in the finite element approximation of plate models.

Can neural operators always be continuously discretized? Locking effects in the finite element approximation of plate models

Reference 25

Resolution
verified exact
doi, observed 2026-08-11T22:33:26.863461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.522155Z digest=sha256:41335df0f2875ad03ad3c62f3cde86f41c9aa9f14e171d79774b6dfa45590efb

Observation 531e7d67-ddd1-4591-b41b-b6fb00cd7189 · outbound

This paper cites Statistical and computational inverse problems, volume 160 of Applied Mathematical Sciences.

Can neural operators always be continuously discretized? Statistical and computational inverse problems, volume 160 of Applied Mathematical Sciences

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.483166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.544657Z digest=sha256:04d9314620d2a27ae0557c0ebb6c0799b14d70b5be76c9f35be34ec42eebba70

Observation 4ac39d44-ab68-49c8-a961-e855740dc471 · outbound

This paper cites Can one use total variation prior for edge-preserving bayesian inversion? Inverse problems, 20 0 (5): 0 1537, 2004.

Can neural operators always be continuously discretized? Can one use total variation prior for edge-preserving bayesian inversion? Inverse problems, 20 0 (5): 0 1537, 2004

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.473006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.626582Z digest=sha256:81e43a8dbd9cfe2d3e0f78e20f2ed7ec6c4a0031296766afc45d8a804b97ac4f

Observation 86d866a7-051f-4465-9183-6931c4bb9895 · outbound

This paper cites Inverse problems: a bayesian perspective.

Can neural operators always be continuously discretized? Inverse problems: a bayesian perspective

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.462218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.669899Z digest=sha256:000cc545d97719234c5600a612f9de831c60ecec4500096ed4ecf6f3bebffcfe

Observation 697e7aa7-0f08-41b7-a564-55a4b2cac388 · outbound

This paper cites Discretization-invariant Bayesian inversion and Besov space priors.

Can neural operators always be continuously discretized? Discretization-invariant Bayesian inversion and Besov space priors

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:25.675366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:25.675366Z digest=sha256:e5491d8d47371b8f1a4d6981242cb3cec383c85d4a26fea444eb9c76ebae2aec

Observation c863c5c3-80f2-418c-95be-34088276108a · outbound

This paper cites Besov priors for B ayesian inverse problems.

Can neural operators always be continuously discretized? Besov priors for B ayesian inverse problems

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:25.685598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:25.685598Z digest=sha256:d90e7e5bac6202420337d4b8d68fe11f2e750d56fc35a2b8b12ef6ea988b77d6

Observation 1311135a-b4c1-4282-a1ec-0cab13d250bc · outbound

This paper cites Linear inverse problems for generalised random variables.

Can neural operators always be continuously discretized? Linear inverse problems for generalised random variables

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.451622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.776578Z digest=sha256:23f7ec62adadf886b2b53b7b2104938572116803b34154c34cdf052533e4406e

Observation f70698f2-d325-4819-b2ec-7a961d357682 · outbound

This paper cites Bauschke and Patrick L.

Can neural operators always be continuously discretized? Bauschke and Patrick L

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:25.807880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:25.807880Z digest=sha256:b97a7b2735f69d2575bdb442fff9f953eebfd4ffe164aef6419d7e09e14cc68d

Observation df9c8ac6-8973-4477-aaec-12ebf04fdbe6 · outbound

This paper cites Nonlocality and Nonlinearity Implies Universality in Operator Learning.

Can neural operators always be continuously discretized? Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:25.819899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:25.819899Z digest=sha256:14c212b6158c27bb0c3349f019756072d936837a6240625dcb0ea2a6413abe1d

Observation 857376d1-1642-4b65-96eb-0132c655d658 · outbound

This paper cites The homotopy type of the unitary group of hilbert space.

Can neural operators always be continuously discretized? The homotopy type of the unitary group of hilbert space

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.440620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.847838Z digest=sha256:25e1465a02328f182958c48cf69e67f1dbf7c4ba2dc51ae1edf84b9b82a2d83e

Observation 51b04d5a-8804-4c4c-9e1d-99c15ef5ca42 · outbound

This paper cites Putnam and Aurel Wintner.

Can neural operators always be continuously discretized? Putnam and Aurel Wintner

Reference 35

Resolution
verified exact
doi, observed 2026-08-11T22:33:26.838257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:25.912581Z digest=sha256:a36dca18ce88b63015043fbeb7194cbbc15747a552ef6ab999c01ae1e0bf3144

Observation ea862c11-6163-40fa-a8c6-37641f0791e5 · outbound

This paper cites an unresolved cited work.

Can neural operators always be continuously discretized? Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:25.938351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:25.938351Z digest=sha256:2e5f8092fbe431f644ab4f88b74702e1292495e7bf7fef202d01d1ce016199f9

Observation 6b9bee99-ad3b-4d2b-be1e-bf0f3c58786c · outbound

This paper cites Tyrrell Rockafellar and Roger J.-B.

Can neural operators always be continuously discretized? Tyrrell Rockafellar and Roger J.-B

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:25.945822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:25.945822Z digest=sha256:f22e2fedb7f560aa96511d925fbc362257ab959efa066d7b9be980b83ecb2547

Observation b05f7cf4-70aa-4b2b-8f9e-d31684361c92 · outbound

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

Can neural operators always be continuously discretized? Fourier Neural Operator for Parametric Partial Differential Equations

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:26.000990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:26.000990Z digest=sha256:9facea91735a1c146fb492a662b8d6d510285cbb6967a0aeb006436143091862

Observation 02618044-75ac-42f6-ba9e-71169e1d1037 · outbound

This paper cites Sorting out lipschitz function approximation.

Can neural operators always be continuously discretized? Sorting out lipschitz function approximation

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.419147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:26.053642Z digest=sha256:8bdaeb5609fb373e7d3b026c38c51fc727d4b54949451cc232763bff5e93f3ae

Observation e920a798-27eb-4d60-90fd-25c84f20faf6 · outbound

This paper cites Error bounds for approximations with deep relu networks.

Can neural operators always be continuously discretized? Error bounds for approximations with deep relu networks

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:26.075272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:26.075272Z digest=sha256:8bb1675875ebaffaa746b0b5b09b08a2267c8c7ea2c088713685662a5847a91c

Observation a901d745-7ee3-41e5-ab46-ee3d58feab08 · outbound

This paper cites Error bounds for approximations with deep R e LU neural networks in W^ s,p norms.

Can neural operators always be continuously discretized? Error bounds for approximations with deep R e LU neural networks in W^ s,p norms

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:26.087336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:26.087336Z digest=sha256:6de828daa95aa92e928590ce7018e3b8806a4fda406c7493b11e94bdf1877650

Observation 5ba5ddc0-6351-4919-94ce-3a1a70b920c7 · outbound

This paper cites A nonlinear discretization theory.

Can neural operators always be continuously discretized? A nonlinear discretization theory

Reference 42

Resolution
verified exact
doi, observed 2026-08-11T22:33:26.798866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:26.135641Z digest=sha256:ac43fc945cfd0a8d9c01f76bd860bc33242ac69777a1f122868913f6e5db45cf

Observation 19982a57-69f2-437d-8300-6a5915f0cf8d · outbound

This paper cites an unresolved cited work.

Can neural operators always be continuously discretized? Unresolved cited work

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:26.179013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:26.179013Z digest=sha256:900e49455da8f727641714e7896d8e7007b408664219e1732256d80e35b66e20

Observation f517838d-9d79-4081-b509-b36c60eec557 · outbound

This paper cites Trudinger.

Can neural operators always be continuously discretized? Trudinger

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.389108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:26.225604Z digest=sha256:a3d710751157135a54bf1233cc3f12145c8b257637c87d915d1f6ca1aa40e40c

Observation 209360a4-7a8d-4d12-bd0c-e699bf71892c · outbound

This paper cites an unresolved cited work.

Can neural operators always be continuously discretized? Unresolved cited work

Reference 45

Resolution
verified exact
doi, observed 2026-08-11T22:33:26.729121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:26.234069Z digest=sha256:b457156217667e31c31a828bee1ffd505c1741fde2df60407216c641a35f6cc5

Observation e92d9973-2b2a-4e22-ae53-f7d29298f667 · outbound

This paper cites an unresolved cited work.

Can neural operators always be continuously discretized? Unresolved cited work

Reference 46

Resolution
verified exact
doi, observed 2026-08-11T22:33:26.689690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:26.259972Z digest=sha256:cfb6d6425ee765cc423ed0990b6a4bfe1e002ac3d926c5e119761031597dd6ff

Observation de830a73-0439-4ba3-8657-aa36c07bd76f · outbound

This paper cites Numerical methods for nonlinear elliptic differential equations.

Can neural operators always be continuously discretized? Numerical methods for nonlinear elliptic differential equations

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:26.347796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:26.347796Z digest=sha256:86c97384b32845cf9d18b9836bc44eb3538878b3ef8044d2ef60da892a94920b

Observation 9e56b942-d17e-4838-9231-19228e9ab984 · outbound

This paper cites Putnam and Aurel Wintner.

Can neural operators always be continuously discretized? Putnam and Aurel Wintner

Reference 48

Resolution
verified exact
doi, observed 2026-08-11T22:33:26.667461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:26.373708Z digest=sha256:3e6b3d2205d331c7e5c3cccae55bb1e80c6618a14556028a7da337d911f23871

Observation 321f8482-96b6-4f47-b37f-f988dfd6a59d · outbound

This paper cites Topological degree theory and applications, volume 10 of Series in Mathematical Analysis and Applications.

Can neural operators always be continuously discretized? Topological degree theory and applications, volume 10 of Series in Mathematical Analysis and Applications

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:26.377983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:26.377983Z digest=sha256:d7cef165e0ebc7e53279d4873142cefb42beb25ee44dc7c8396fa0b3fc4b7d1b

Observation 92cc485b-4b04-45d0-a8b3-ac0aae27102a · outbound

This paper cites an unresolved cited work.

Can neural operators always be continuously discretized? Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:33:27.339892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:26.381783Z digest=sha256:90acafd00114fc4108222db4ea7856ef0d3ad76b5f5e0da3694fd38a54421688

Observation afc74a02-75c4-4cee-83a9-e04eef6c7872 · outbound

This paper cites an unresolved cited work.

Can neural operators always be continuously discretized? Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:33:27.304348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:26.388276Z digest=sha256:fba1395be79c8b1dfdba0f2b3f8d9486be545498b6a2d32d93d84fb8e1c00d79

Observation 5386c1c5-a6d0-4f85-9386-22fca4a5778d · outbound

This paper cites Set theory.

Can neural operators always be continuously discretized? Set theory

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:26.393658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:26.393658Z digest=sha256:b780d09dcb69d4205e645a72c4fb91e26fa9a7cc2f6330c9ed321247ab866adc

Observation 365e9f2c-c750-4c07-a575-95fde0d07f06 · outbound

This paper cites Michor and David Mumford.

Can neural operators always be continuously discretized? Michor and David Mumford

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:26.398383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:26.398383Z digest=sha256:ff66c29f180ea8f16c81232279801fb4fdaf9b64546c4a225fdfab1aa839a382

Observation 9198e1ef-8e8d-45a8-9d95-0051ef6ca939 · outbound

This paper cites Martin and Patrizio Neff.

Can neural operators always be continuously discretized? Martin and Patrizio Neff

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.208104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:26.403044Z digest=sha256:234ca63bde530cf419fd99269cd1d10ea9a8ac91aa15691b604924abae923300

Observation 02268b97-bf61-4f33-9a41-543901c14f2c · outbound

This paper cites Geometric methods and applications, volume 38 of Texts in Applied Mathematics.

Can neural operators always be continuously discretized? Geometric methods and applications, volume 38 of Texts in Applied Mathematics

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-11T22:33:26.420738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T22:33:26.420738Z digest=sha256:0869c759c1bd4d55beee36ff3471b9dd8796ab655131690706bf3eb4ceb7a997

Observation 73a1fd72-7095-4fbc-8c95-7548871b13b5 · outbound

This paper cites Error bounds for approximations with deep relu neural networks in w s, p norms.

Can neural operators always be continuously discretized? Error bounds for approximations with deep relu neural networks in w s, p norms

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.150817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:26.460740Z digest=sha256:ccc0633ae5d654ce57dd64cedf7c2c78c42dc36ee2634a55c6d930256e26a00a

Observation 6638b033-e404-4f3a-a2ad-6b5101bb9d1c · outbound

This paper cites Approximations with deep neural networks in sobolev time-space.

Can neural operators always be continuously discretized? Approximations with deep neural networks in sobolev time-space

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:33:27.118468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T22:33:26.508062Z digest=sha256:14ea69e8bc5fc9fc459e34bb6fd198b2c35b130bd78581dd58a3410ee57fe60f

Pith citing papers

No inbound Pith citation observations are available.