Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers | Paper Citation Record

Observation bf91a4e9-3303-480f-b3b3-cc43d0d2ed5d · outbound

This paper cites Uniform Approximation with Quadratic Neural Networks.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Uniform Approximation with Quadratic Neural Networks

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:09:10.492176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d71d3e06-786f-4f68-b684-c8a7b2dc77be · outbound

This paper cites Pseudo-differentialcalculusinanisotropic gelfand–shilov setting,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Pseudo-differentialcalculusinanisotropic gelfand–shilov setting,

Reference 2

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.470348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f4237a27-1451-4556-85f7-aa6b4757632d · outbound

This paper cites Liftings for ultra-modulation spaces, and one-parameter groups of gevrey-type pseudo-differential operators,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Liftings for ultra-modulation spaces, and one-parameter groups of gevrey-type pseudo-differential operators,

Reference 3

Resolution: malformed identifier; raw_fallback, observed 2026-08-11T00:09:11.076846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 580b8df8-4e6a-4d99-abb8-c88d260609dd · outbound

This paper cites Space-Time Approximation with Shallow Neural Networks in Fourier Lebesgue spaces.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Space-Time Approximation with Shallow Neural Networks in Fourier Lebesgue spaces

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.545369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 843e1dd0-5e29-447d-828f-6b3c44365f71 · outbound

This paper cites Weighted Sobolev Approximation Rates for Neural Networks on Unbounded Domains.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Weighted Sobolev Approximation Rates for Neural Networks on Unbounded Domains

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.550563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cea698c0-35f6-4dba-9c36-477f02bb98a3 · outbound

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

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Approximations with deep neural networks in sobolev time-space,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:11.063911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation eb864bbd-715d-4edd-81e5-3900f25448d0 · outbound

This paper cites Integral representations of shallow neural net- work with rectified power unit activation function,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Integral representations of shallow neural net- work with rectified power unit activation function,

Reference 7

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.429551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bb3f3cd0-4891-4e53-9e97-9190ae3772b1 · outbound

This paper cites The cauchy problem for 3- evolution equations with data in gelfand–shilov spaces,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers The cauchy problem for 3- evolution equations with data in gelfand–shilov spaces,

Reference 8

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.414424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ab1e94b5-623b-4140-ad37-966e4398cb2d · outbound

This paper cites Schrödinger-type equations in gelfand-shilov spaces,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Schrödinger-type equations in gelfand-shilov spaces,

Reference 9

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.399115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bfae2c23-1b21-44c3-a78e-4313c40075b7 · outbound

This paper cites Universal approximation bounds for superpositions of a sig- moidal function,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Universal approximation bounds for superpositions of a sig- moidal function,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.582148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e143ca44-8b2d-40ca-99a7-ac3a566ba293 · outbound

This paper cites Bateman and B.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Bateman and B

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:11.050478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e8fd5f43-c2f3-4db7-8e0f-e0b0a9103c9a · outbound

This paper cites Neuralnetworksinfréchetspaces,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Neuralnetworksinfréchetspaces,

Reference 12

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.374843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 03ca13fc-23a2-4378-aa5f-7da7bb9292af · outbound

This paper cites Optimal approximation with sparsely connected deep neural networks,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Optimal approximation with sparsely connected deep neural networks,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.596653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9f9cf77-03ba-4f2d-8123-b598b64a0695 · outbound

This paper cites A Mathematical Guide to Operator Learning.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers A Mathematical Guide to Operator Learning

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.601610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf8dbac3-4ab3-4bf2-9e75-9884d95eaab0 · outbound

This paper cites Calvello, N.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Calvello, N

Reference 15

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.333662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2ac349a8-590a-41e9-bd43-6b98c2dfda19 · outbound

This paper cites Propagation of exponential phase space sin- gularities for schrödinger equations with quadratic hamiltonians,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Propagation of exponential phase space sin- gularities for schrödinger equations with quadratic hamiltonians,

Reference 16

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.244140Z

Source-reported events for the cited work

correction dated 2021-04-08. Source: crossref record 10.1007/s00041-021-09824-3->10.1007/s00041-016-9478-6:correction, observed 2026-07-11T02:57:45.996244+00:00. This notice travels one citation hop only.

Observation 3537b02a-61af-44f8-9b24-8b0138a74909 · outbound

This paper cites Universal approximation to nonlinear operators by neu- ralnetworkswitharbitraryactivationfunctionsanditsapplicationtodynamical systems,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Universal approximation to nonlinear operators by neu- ralnetworkswitharbitraryactivationfunctionsanditsapplicationtodynamical systems,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.616538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5fddd8c8-4ce0-44ac-9863-aa1b9b1c276e · outbound

This paper cites Characterizations of the gelfand-shilov spaces via fourier transforms,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Characterizations of the gelfand-shilov spaces via fourier transforms,

Reference 18

Resolution: malformed identifier; no resolver link, observed 2026-08-11T00:09:09.621767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce340c9c-54ec-4da6-a675-b2afc3fd9759 · outbound

This paper cites Approximation by superpositions of a sigmoidal function,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Approximation by superpositions of a sigmoidal function,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.626400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1176f8e7-acb6-461e-8549-0d55f4c1c48c · outbound

This paper cites Generic bounds on the approximation error for physics-informed (and) operator learning,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Generic bounds on the approximation error for physics-informed (and) operator learning,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:11.037300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7ee1e39a-3f0b-4564-b8c2-a681115fd481 · outbound

This paper cites The barron space and the flow-induced function spaces for neural network models,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers The barron space and the flow-induced function spaces for neural network models,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.635994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e0fd830-f914-4a8e-89d4-6dcd01a502fb · outbound

This paper cites Kolmogorov width decay and poor approximators in machine learning: Shallow neural networks, random feature models and neural tangent kernels,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Kolmogorov width decay and poor approximators in machine learning: Shallow neural networks, random feature models and neural tangent kernels,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:11.023579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 20643994-8a9f-4cd1-a88e-30b3137f41b6 · outbound

This paper cites an unresolved cited work.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:09:11.009912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e1ba9fde-03b8-49f0-be8e-6b8303632f85 · outbound

This paper cites Solving high-dimensional partial differential equations using deep learning,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Solving high-dimensional partial differential equations using deep learning,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:10.996416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 33271082-b2cd-4fc5-b659-410e68792f3f · outbound

This paper cites an unresolved cited work.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.173954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1a72e4f1-4200-4117-854c-3a98ddd0e29c · outbound

This paper cites an unresolved cited work.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.663679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 367adafb-391b-4978-bc3a-44d0153a1174 · outbound

This paper cites Berlin, Heidelberg: Springer Berlin Heidelberg, 2007.doi: 10.1007/978-3-540-49938-1.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Berlin, Heidelberg: Springer Berlin Heidelberg, 2007.doi: 10.1007/978-3-540-49938-1

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.668194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70a84acc-c050-44d7-8b15-7c5ee9b948a4 · outbound

This paper cites Approximation capabilities of multilayer feedforward networks,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Approximation capabilities of multilayer feedforward networks,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:10.982523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 87686903-ea2c-49e6-af6a-c7136d3e9783 · outbound

This paper cites Basis operator network: A neural network-based model for learning nonlinear operators via neural basis,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Basis operator network: A neural network-based model for learning nonlinear operators via neural basis,

Reference 29

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.138693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 17e7f156-4122-4335-8dca-63a240f3a6c8 · outbound

This paper cites An operator learning perspective on parameter-to-observable maps.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers An operator learning perspective on parameter-to-observable maps

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.683639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1f453bd-38d8-4bc4-9ee3-b983663b6ac8 · outbound

This paper cites MIONet: Learning multiple-input operators via tensor product,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers MIONet: Learning multiple-input operators via tensor product,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.689157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b86b73f-1e48-4280-a40e-ba96784f3d4e · outbound

This paper cites A characterization of real analytic functions,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers A characterization of real analytic functions,

Reference 32

Resolution: verified exact; raw_fallback, observed 2026-08-11T00:09:10.813278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 112f8a35-d0d8-423f-b40a-45205f9337a8 · outbound

This paper cites Two-layer neural networks with values in a banach space,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Two-layer neural networks with values in a banach space,

Reference 33

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.096912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 673b0490-5968-4051-8558-17041df0bf5a · outbound

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

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Neural operator: Learning maps between function spaces with applications to PDEs,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:10.969319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a81cfcb1-c92b-4c1c-827e-fd5387fe8f0f · outbound

This paper cites Operator Learning: Algorithms and Analysis.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Operator Learning: Algorithms and Analysis

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.710251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8138be5-ec44-47bb-8d55-07ddd9234a0f · outbound

This paper cites Operator learning with PCA-net: Upper and lower complexity bounds,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Operator learning with PCA-net: Upper and lower complexity bounds,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:10.956133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7e2a1e55-768f-41e2-a990-7a6037ce6e1b · outbound

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

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.720682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9aa56cac-03cc-4032-bfb5-d2872523e05a · outbound

This paper cites ErrorestimatesforDeepONets: A deep learning framework in infinite dimensions,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers ErrorestimatesforDeepONets: A deep learning framework in infinite dimensions,

Reference 38

Resolution: malformed identifier; no resolver link, observed 2026-08-11T00:09:09.725690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ba01555-a3d8-4b4b-a2cb-604cfd330db7 · outbound

This paper cites Multilayer feedforward net- works with a nonpolynomial activation function can approximate any function,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Multilayer feedforward net- works with a nonpolynomial activation function can approximate any function,

Reference 39

Resolution: malformed identifier; no resolver link, observed 2026-08-11T00:09:09.731096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5595689-b174-4a70-b340-6896b60b6171 · outbound

This paper cites Two-layer networks with the ReLU$^k$ activation function: Barron spaces and derivative approximation,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Two-layer networks with the ReLU$^k$ activation function: Barron spaces and derivative approximation,

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.736183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39439483-aef3-497b-9f58-3b19e4631823 · outbound

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

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Fourier Neural Operator for Parametric Partial Differential Equations

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.741739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8516be05-5e7d-4f6d-bcac-526566e25eb7 · outbound

This paper cites A priori generalization error analysis of two-layer neural net- works for solving high dimensional schrödinger eigenvalue problems,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers A priori generalization error analysis of two-layer neural net- works for solving high dimensional schrödinger eigenvalue problems,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:10.942888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 310f844e-9de0-4c90-b9e5-1e34328c4b3e · outbound

This paper cites Deepnetworkapproximationforsmooth functions,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Deepnetworkapproximationforsmooth functions,

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.757610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 207c90ad-aff0-4bdb-ad14-b9dcd20eb130 · outbound

This paper cites Learning nonlinear operators via DeepONet based on the universal approximation theorem of op- erators,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Learning nonlinear operators via DeepONet based on the universal approximation theorem of op- erators,

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.762241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bdcda89-b14c-42d6-a049-f5e4b9ec2685 · outbound

This paper cites an unresolved cited work.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Unresolved cited work

Reference 45

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.024240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a6264dbb-cb4b-48c8-a475-2db79a3f2b4d · outbound

This paper cites Uniform approximation rates and metric en- tropyofshallowneuralnetworks,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Uniform approximation rates and metric en- tropyofshallowneuralnetworks,

Reference 46

Resolution: verified exact; doi, observed 2026-08-11T00:09:09.990227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 25c18513-b619-41fd-90b2-6fbab4e98e05 · outbound

This paper cites Uniform approximation by neural networks,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Uniform approximation by neural networks,

Reference 47

Resolution: malformed identifier; no resolver link, observed 2026-08-11T00:09:09.776229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e95dbadf-660b-4661-9cc4-a173a9e92ae2 · outbound

This paper cites Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.766953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f489ce4-baa5-425a-aa6d-980694a99538 · outbound

This paper cites Approximation by superposition of sigmoidal and radial basis functions,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Approximation by superposition of sigmoidal and radial basis functions,

Reference 49

Resolution: verified exact; doi, observed 2026-08-11T00:09:09.959036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 80970d3c-0745-4b93-ae7d-ec7f5c98d770 · outbound

This paper cites Deep ReLU networks overcome the curse of dimensionality for generalized bandlimited functions,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Deep ReLU networks overcome the curse of dimensionality for generalized bandlimited functions,

Reference 50

Resolution: malformed identifier; raw_fallback, observed 2026-08-11T00:09:10.929255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f2b71caa-f233-42b5-a101-9b92e2b82c29 · outbound

This paper cites Neural networks for functional approximation and system identification,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Neural networks for functional approximation and system identification,

Reference 51

Resolution: verified exact; doi, observed 2026-08-11T00:09:09.974896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 00a31aac-5c47-41c2-b9eb-13d7cbe0dadd · outbound

This paper cites Rudin, Real and complex analysis, 3rd ed.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Rudin, Real and complex analysis, 3rd ed

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:10.915381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e0f91b72-52a3-4628-90f0-2edb56ba9432 · outbound

This paper cites Rudin, Functional analysis(International series in pure and applied math- ematics), 2nd ed.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Rudin, Functional analysis(International series in pure and applied math- ematics), 2nd ed

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:10.900050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7a8119fb-c683-437a-ad8e-344a46801eb3 · outbound

This paper cites Variable-Input Deep Operator Networks.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Variable-Input Deep Operator Networks

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.796344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b01bcf0-0886-45c6-8298-0f1b6b6ccd1c · outbound

This paper cites Deep operator network approximation rates for lipschitz operators,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Deep operator network approximation rates for lipschitz operators,

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:10.872330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d4deae9f-adfb-4bb9-8573-e3e1d57382e8 · outbound

This paper cites Optimal approximation rates for deep ReLU neural networks on sobolev and besov spaces,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Optimal approximation rates for deep ReLU neural networks on sobolev and besov spaces,

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:10.858332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation aed33d81-fd6d-4635-89a1-d05a39eff6de · outbound

This paper cites Howdo infinitewidthbounded norm networks look in function space?.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Howdo infinitewidthbounded norm networks look in function space?

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:10.886296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3f261e31-1c89-4d59-be8a-ce6e85e0cb45 · outbound

This paper cites High-order approximation rates for shallow neural net- works with cosine and ReLU activation functions,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers High-order approximation rates for shallow neural net- works with cosine and ReLU activation functions,

Reference 58

Resolution: verified exact; doi, observed 2026-08-11T00:09:09.918400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 94a37a8f-16a4-438e-9cc0-0bbdc4f76261 · outbound

This paper cites Sharp bounds on the approximation rates, metric en- tropy, and n-widths of shallow neural networks,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Sharp bounds on the approximation rates, metric en- tropy, and n-widths of shallow neural networks,

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.833971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9c57595-9eea-46e1-b540-aec516d38754 · outbound

This paper cites Approximation rates for neural networks with general activation functions,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Approximation rates for neural networks with general activation functions,

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.824315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dee93db-be72-4110-bc80-af2f49f08455 · outbound

This paper cites Functional analytic characterizations of the gelfand-shilov spaces $s_\alpha^\beta$,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Functional analytic characterizations of the gelfand-shilov spaces $s_\alpha^\beta$,

Reference 61

Resolution: verified exact; doi, observed 2026-08-11T00:09:09.891713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e7ae20a6-462c-4515-95bd-4f34f660ae7d · outbound

This paper cites Near-optimal deep neural network approximation for ko- robov functions with respect to l p and h 1 norms,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Near-optimal deep neural network approximation for ko- robov functions with respect to l p and h 1 norms,

Reference 62

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T00:09:10.599853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1110c72d-f5cf-48ab-bc3d-c53c3fe5d054 · outbound

This paper cites Controlling Statistical, Discretization, and Truncation Errors in Learning Fourier Linear Operators.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Controlling Statistical, Discretization, and Truncation Errors in Learning Fourier Linear Operators

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.838587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11025acd-4cc1-4b88-a426-65fcbbe77fbb · outbound

This paper cites Optimal approximation of continuous functions by very deep ReLU networks,.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Optimal approximation of continuous functions by very deep ReLU networks,

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:09:10.844320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0156d91b-a17d-4919-bfd0-ff0bbdba9087 · outbound

This paper cites an unresolved cited work.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Unresolved cited work

Reference 2021

Resolution: verified exact; doi, observed 2026-08-11T00:09:10.189066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3874909e-eb11-4254-ab57-990910fec6de · outbound

This paper cites an unresolved cited work.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Unresolved cited work

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-11T00:09:09.560726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Coverage vector

Reference resolution

Outbound references

Pith citing papers