Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:33:26.508062Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:33:26.508062Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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
57 of 57 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 7d90122f-aeab-413c-938d-28332f411f33 · outbound
Can neural operators always be continuously discretized? Neural operator: Learning maps between function spaces with applications to pdes
Reference 1
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.
Observation 68d06a8d-dfdd-4d81-882f-6ce54a28b251 · outbound
Can neural operators always be continuously discretized? Deep learning methods for flood mapping: a review of existing applications and future research directions
Reference 2
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.
Observation a7dbfd1c-fb13-4f6a-9f5b-7f3ed68e6142 · outbound
Can neural operators always be continuously discretized? Physics-informed deep neural operator networks
Reference 3
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.
Observation 1ec297b8-7246-492f-ab7f-00ca93a2f4aa · outbound
Can neural operators always be continuously discretized? Fourier neural operator with learned deformations for pdes on general geometries
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f8bdbb7-bc20-4112-809b-34cd76ea5860 · outbound
Can neural operators always be continuously discretized? Scientific discovery in the age of artificial intelligence
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54025cf5-5c11-4448-8e9d-5c5da083d366 · outbound
Can neural operators always be continuously discretized? Integrating scientific knowledge with machine learning for engineering and environmental systems
Reference 6
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.
Observation 7edb6dba-994a-45ce-bc2f-8b9611b65c09 · outbound
Can neural operators always be continuously discretized? The reversible residual network: Backpropagation without storing activations
Reference 7
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.
Observation 1a409fad-716a-438f-b9d2-950027474721 · outbound
Can neural operators always be continuously discretized? Universal approximation property of invertible neural networks
Reference 8
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.
Observation b02a8cde-51ca-4916-b6ed-de1028060605 · outbound
Can neural operators always be continuously discretized? Non-euclidean universal approximation
Reference 9
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.
Observation 162020ae-0bfa-4a41-9282-72a38c05fac9 · outbound
Can neural operators always be continuously discretized? Globally injective relu networks
Reference 10
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.
Observation d8524fcd-ede4-4290-899a-c7b32b428267 · outbound
Can neural operators always be continuously discretized? Coupling-based invertible neural networks are universal diffeomorphism approximators
Reference 11
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.
Observation 587306eb-cfa4-4b84-90b3-87235dda5411 · outbound
Can neural operators always be continuously discretized? Image style transfer using convolutional neural networks
Reference 12
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.
Observation 2befd339-0fff-4b90-9035-bf81097080dc · outbound
Can neural operators always be continuously discretized? Diffusion generative models in infinite dimensions
Reference 13
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.
Observation 233efb30-56a3-471b-aa39-95fd309dfeb9 · outbound
Can neural operators always be continuously discretized? Error estimates for deeponets: A deep learning framework in infinite dimensions
Reference 14
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.
Observation 701d97e5-7d99-40e6-b6e3-33dd34f4c1cd · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f2b5bb1-4c2f-4ec3-b22a-c11c1a293d30 · outbound
Can neural operators always be continuously discretized? Model reduction and neural networks for parametric pdes
Reference 16
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.
Observation bc3f3879-d205-4d84-9061-4f1b0f501bb9 · outbound
Can neural operators always be continuously discretized? The Cost-Accuracy Trade-Off In Operator Learning With Neural Networks
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16136c73-5fca-4497-8859-25a59cf68d0a · outbound
Can neural operators always be continuously discretized? Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces
Reference 18
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.
Observation 29c4a682-ad46-4907-844d-606a30e0115b · outbound
Can neural operators always be continuously discretized? Globally injective and bijective neural operators
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f0914a7-f387-4e1b-adb7-262bfd878bcb · outbound
Can neural operators always be continuously discretized? Discretization error of fourier neural operators
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7d493b81-20b6-41ff-be81-ca3c1692f0d8 · outbound
Can neural operators always be continuously discretized? Mathematical foundations of infinite-dimensional statistical models
Reference 21
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.
Observation e36e562a-8b6f-4593-a08a-fc93e40b4cdb · outbound
Can neural operators always be continuously discretized? a chter, Dmytro Perekrestenko, Philipp Grohs, and Helmut B \
Reference 22
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.
Observation d6d37f2f-fe0e-4412-8d49-fa3ceec62a2f · outbound
Can neural operators always be continuously discretized? Position: Categorical Deep Learning is an Algebraic Theory of All Architectures
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cbe41b55-2e14-4e91-b66f-b5d741809a5e · outbound
Can neural operators always be continuously discretized? On locking and robustness in the finite element method
Reference 24
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.
Observation 1e00cb27-97cf-4230-a596-7b39e8573b76 · outbound
Can neural operators always be continuously discretized? Locking effects in the finite element approximation of plate models
Reference 25
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.
Observation 531e7d67-ddd1-4591-b41b-b6fb00cd7189 · outbound
Can neural operators always be continuously discretized? Statistical and computational inverse problems, volume 160 of Applied Mathematical Sciences
Reference 26
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.
Observation 4ac39d44-ab68-49c8-a961-e855740dc471 · outbound
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
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.
Observation 86d866a7-051f-4465-9183-6931c4bb9895 · outbound
Can neural operators always be continuously discretized? Inverse problems: a bayesian perspective
Reference 28
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.
Observation 697e7aa7-0f08-41b7-a564-55a4b2cac388 · outbound
Can neural operators always be continuously discretized? Discretization-invariant Bayesian inversion and Besov space priors
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c863c5c3-80f2-418c-95be-34088276108a · outbound
Can neural operators always be continuously discretized? Besov priors for B ayesian inverse problems
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1311135a-b4c1-4282-a1ec-0cab13d250bc · outbound
Can neural operators always be continuously discretized? Linear inverse problems for generalised random variables
Reference 31
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.
Observation f70698f2-d325-4819-b2ec-7a961d357682 · outbound
Can neural operators always be continuously discretized? Bauschke and Patrick L
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df9c8ac6-8973-4477-aaec-12ebf04fdbe6 · outbound
Can neural operators always be continuously discretized? Nonlocality and Nonlinearity Implies Universality in Operator Learning
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 857376d1-1642-4b65-96eb-0132c655d658 · outbound
Can neural operators always be continuously discretized? The homotopy type of the unitary group of hilbert space
Reference 34
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.
Observation 51b04d5a-8804-4c4c-9e1d-99c15ef5ca42 · outbound
Can neural operators always be continuously discretized? Putnam and Aurel Wintner
Reference 35
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.
Observation ea862c11-6163-40fa-a8c6-37641f0791e5 · outbound
Can neural operators always be continuously discretized? Unresolved cited work
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b9bee99-ad3b-4d2b-be1e-bf0f3c58786c · outbound
Can neural operators always be continuously discretized? Tyrrell Rockafellar and Roger J.-B
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b05f7cf4-70aa-4b2b-8f9e-d31684361c92 · outbound
Can neural operators always be continuously discretized? Fourier Neural Operator for Parametric Partial Differential Equations
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02618044-75ac-42f6-ba9e-71169e1d1037 · outbound
Can neural operators always be continuously discretized? Sorting out lipschitz function approximation
Reference 39
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.
Observation e920a798-27eb-4d60-90fd-25c84f20faf6 · outbound
Can neural operators always be continuously discretized? Error bounds for approximations with deep relu networks
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a901d745-7ee3-41e5-ab46-ee3d58feab08 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ba5ddc0-6351-4919-94ce-3a1a70b920c7 · outbound
Can neural operators always be continuously discretized? A nonlinear discretization theory
Reference 42
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.
Observation 19982a57-69f2-437d-8300-6a5915f0cf8d · outbound
Can neural operators always be continuously discretized? Unresolved cited work
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f517838d-9d79-4081-b509-b36c60eec557 · outbound
Can neural operators always be continuously discretized? Trudinger
Reference 44
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.
Observation 209360a4-7a8d-4d12-bd0c-e699bf71892c · outbound
Can neural operators always be continuously discretized? Unresolved cited work
Reference 45
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.
Observation e92d9973-2b2a-4e22-ae53-f7d29298f667 · outbound
Can neural operators always be continuously discretized? Unresolved cited work
Reference 46
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.
Observation de830a73-0439-4ba3-8657-aa36c07bd76f · outbound
Can neural operators always be continuously discretized? Numerical methods for nonlinear elliptic differential equations
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e56b942-d17e-4838-9231-19228e9ab984 · outbound
Can neural operators always be continuously discretized? Putnam and Aurel Wintner
Reference 48
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.
Observation 321f8482-96b6-4f47-b37f-f988dfd6a59d · outbound
Can neural operators always be continuously discretized? Topological degree theory and applications, volume 10 of Series in Mathematical Analysis and Applications
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92cc485b-4b04-45d0-a8b3-ac0aae27102a · outbound
Can neural operators always be continuously discretized? Unresolved cited work
Reference 50
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.
Observation afc74a02-75c4-4cee-83a9-e04eef6c7872 · outbound
Can neural operators always be continuously discretized? Unresolved cited work
Reference 51
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.
Observation 5386c1c5-a6d0-4f85-9386-22fca4a5778d · outbound
Can neural operators always be continuously discretized? Set theory
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 365e9f2c-c750-4c07-a575-95fde0d07f06 · outbound
Can neural operators always be continuously discretized? Michor and David Mumford
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9198e1ef-8e8d-45a8-9d95-0051ef6ca939 · outbound
Can neural operators always be continuously discretized? Martin and Patrizio Neff
Reference 54
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.
Observation 02268b97-bf61-4f33-9a41-543901c14f2c · outbound
Can neural operators always be continuously discretized? Geometric methods and applications, volume 38 of Texts in Applied Mathematics
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 73a1fd72-7095-4fbc-8c95-7548871b13b5 · outbound
Can neural operators always be continuously discretized? Error bounds for approximations with deep relu neural networks in w s, p norms
Reference 56
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.
Observation 6638b033-e404-4f3a-a2ad-6b5101bb9d1c · outbound
Can neural operators always be continuously discretized? Approximations with deep neural networks in sobolev time-space
Reference 57
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.
No inbound Pith citation observations are available.