Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T19:32:41.691787Z
Paper Citation Record · LEDGER
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
As of 14 August 2026, this Paper Citation Record lists 100 of 150 outbound references and 3 inbound Pith citation observations for arXiv:2501.09987.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T22:23:51.649226Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-18T12:32:36.182118Z
Reference resolution
100 of 150 outbound references displayed
- verified exact5
- verified fuzzy5
- unresolved89
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b7bca62b-ff72-458e-90cf-8e1358220663 · outbound
This paper cites Krizhevsky, I.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Krizhevsky, I
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.205821Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 498b7d0a-8513-4ac2-9a12-77fd57be80f3 · outbound
This paper cites Hinton, L.
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.211652Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3957457e-a4bd-4d3c-a41d-5018f70cc5ef · outbound
This paper cites LeCun, L.
Reference 3
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d53054f5-42f9-4d3f-95d6-62334b48ba01 · outbound
This paper cites Bengio, et al., Learning deep architectures for ai, Foundations and trends® in Machine Learning 2 (1) (2009) 1–127.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Bengio, et al., Learning deep architectures for ai, Foundations and trends® in Machine Learning 2 (1) (2009) 1–127
Reference 4
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c7bc0f58-1b84-44f7-9639-a708cdbad3f8 · outbound
This paper cites LeCun, Y.
Reference 5
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a76711f-37b9-46bb-a35d-37a9051bee4c · outbound
This paper cites E, Machine learning and computational mathematics, Communi- cations in Computational Physics 28 (5) (2020) 1639–1670.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs E, Machine learning and computational mathematics, Communi- cations in Computational Physics 28 (5) (2020) 1639–1670
Reference 6
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 620f6caf-bfce-4a39-bad7-622b332d5391 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 7
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a2e6dc1-692e-42d0-89c6-399991eb6a46 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 8
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0fa0415b-bb34-41bc-a9d8-fd75583ffe41 · outbound
This paper cites Hermann, Z.
Reference 9
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9370f7db-8d57-4b88-a690-6e621a966aed · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 10
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06b1a1f9-1b43-4666-aaa1-cce574e863fd · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 11
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b69c645e-9456-4c94-851e-92afeb68e16b · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 12
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0970c349-0bf1-42d9-be2a-9810d72434b6 · outbound
This paper cites Cai, Computational Methods for Electromagnetic Phenomena: electrostatics in solvation, scattering, and electron transport, Cam- bridge University Press, 2013.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Cai, Computational Methods for Electromagnetic Phenomena: electrostatics in solvation, scattering, and electron transport, Cam- bridge University Press, 2013
Reference 13
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e7421c9-6bf5-4a49-ac63-48d67f350ad1 · outbound
This paper cites Raissi, P.
Reference 14
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e13bef4-52fb-45b3-aa89-5db1277f8a99 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 15
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2bf8b0c5-c426-4d25-9743-d2699512dbae · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 16
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97b7fd3e-405c-4b94-9b7c-b22f13dca7ad · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 17
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cd6959ce-4f80-4b70-ba1e-740e50eb145d · outbound
This paper cites Ciarlet, The finite element method for elliptic problems, Society for Industrial and Applied Mathematics, 2002.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Ciarlet, The finite element method for elliptic problems, Society for Industrial and Applied Mathematics, 2002
Reference 18
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 280bd8e9-bdb9-4cf9-8e00-de2bb52b875b · outbound
This paper cites Zienkiewicz, R.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Zienkiewicz, R
Reference 19
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac9a084d-7b54-4d78-9ad3-f233a7860216 · outbound
This paper cites Jiang, The least-squares finite element method: theory and appli- cations in computational fluid dynamics and electromagnetics, Springer Science & Business Media, 1998.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Jiang, The least-squares finite element method: theory and appli- cations in computational fluid dynamics and electromagnetics, Springer Science & Business Media, 1998
Reference 20
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c7d72a4-c606-4354-9aac-642e046c0bc2 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 21
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e87102c-08ad-45f9-be51-99095bf8293d · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 22
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 174171a7-7060-42bd-8f7c-04ae566e1442 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 23
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d7851060-a011-4fef-a905-beefdc4c837e · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 24
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 289bcaf8-e449-4651-8820-d4d8d8f978c1 · outbound
This paper cites Hackbusch, The integral equation method, Birkh¨ auser Basel, 1995.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Hackbusch, The integral equation method, Birkh¨ auser Basel, 1995
Reference 25
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2e4d4590-0b83-4c00-a02f-641d3817ad12 · outbound
This paper cites Tennekes, J.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Tennekes, J
Reference 26
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f83ff30c-c783-44b7-b112-2d4f9e116931 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 27
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45168b30-10f0-4de8-81d1-f6d227b3f5f0 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 28
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2e58d33d-7a84-4299-aabd-3d499d03ae66 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 29
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b80a9714-1aba-4728-b276-3e3536c64dc9 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 30
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a0d31ea-26ca-4e0a-ab05-8a6062d02747 · outbound
This paper cites Rammer, Quantum transport theory, CRC Press, 2018.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Rammer, Quantum transport theory, CRC Press, 2018
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.350617Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6317d9a7-fe3b-401e-8f72-e7b561a9cf78 · outbound
This paper cites Zhang, Y.
Reference 32
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bd1386f1-ff05-425c-aab6-8f82491f3b37 · outbound
This paper cites Brandt, Multi-level adaptive solutions to boundary-value problems, Mathematics of computation 31 (138) (1977) 333–390.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Brandt, Multi-level adaptive solutions to boundary-value problems, Mathematics of computation 31 (138) (1977) 333–390
Reference 33
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03f7f692-c7f5-4761-8892-7ddbc6e6e004 · outbound
This paper cites Xu, Iterative methods by space decomposition and subspace correc- tion, SIAM review 34 (4) (1992) 581–613.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Xu, Iterative methods by space decomposition and subspace correc- tion, SIAM review 34 (4) (1992) 581–613
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.365610Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aa813cc2-0944-45af-873b-d8983041da5d · outbound
This paper cites Saad, Iterative methods for sparse linear systems, SIAM, 2003.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Saad, Iterative methods for sparse linear systems, SIAM, 2003
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.370439Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f76989ac-b97e-4f43-b9c5-ab9ad366d20f · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 36
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26b37800-a04b-4827-bc79-3b41ee07a4f9 · outbound
This paper cites Ciaramella, M.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Ciaramella, M
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.379734Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e43533e6-ccd2-4a5a-85d6-8a29beb025aa · outbound
This paper cites Olver, A.
Reference 38
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2dab6382-c130-4784-9226-bc94b2bb2762 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.389556Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa2ee9f4-edfd-4657-a872-0972d5a59314 · outbound
This paper cites Rahaman, A.
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.395471Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c7e2ff3-2b3c-4e88-8e46-461da0e93e6b · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 41
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5aae15f6-afae-4b6f-b9e9-92b27511eb8d · outbound
This paper cites Overview frequency principle/spectral bias in deep learning.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Overview frequency principle/spectral bias in deep learning
Reference 42
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.404863Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0193ad84-9ddc-4338-9155-80f64979b813 · outbound
This paper cites Cybenko, Approximation by superpositions of a sigmoidal function, Mathematics of control, signals and systems 2 (4) (1989) 303–314.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Cybenko, Approximation by superpositions of a sigmoidal function, Mathematics of control, signals and systems 2 (4) (1989) 303–314
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.410222Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06bf15ce-5491-4709-83ac-cde18de3ad98 · outbound
This paper cites Hornik, M.
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.415407Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 53f929dd-3b42-4a40-856f-a2dd552b6141 · outbound
This paper cites Hornik, Approximation capabilities of multilayer feedforward net- works, Neural networks 4 (2) (1991) 251–257.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Hornik, Approximation capabilities of multilayer feedforward net- works, Neural networks 4 (2) (1991) 251–257
Reference 45
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e434b9b6-40a9-4d0a-a0e8-491f888f054c · outbound
This paper cites Leshno, V.
Reference 46
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d09231f-6c12-48ce-98ac-d72531497d99 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 47
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.429890Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8bc1807-0c3b-46d8-9451-558d46153879 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 48
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.434735Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58119003-7830-4bc7-8f18-153f158b16b5 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 49
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.439637Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6432d0de-cda1-46cf-916c-f928b6fa42ed · outbound
This paper cites Dissanayake, N.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Dissanayake, N
Reference 50
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39df6010-95e9-4981-bdb1-9e98dc046edb · outbound
This paper cites Lagaris, A.
Reference 51
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1db1397-e017-43df-8ba4-440d0e7ccddb · outbound
This paper cites Lagaris, A.
Reference 52
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.455153Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e35e81eb-aed4-41bd-9770-6d73b801869e · outbound
This paper cites Sirignano, K.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Sirignano, K
Reference 53
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.459723Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91724a60-7b9d-4e62-b151-a0694d608701 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 54
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.464516Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 085c107e-4c3b-4bb8-b0f5-a8eaec572e75 · outbound
This paper cites Kharazmi, Z.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Kharazmi, Z
Reference 55
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.469140Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a63bd2f7-9abd-4d43-80dc-78293ded69a0 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 56
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.473631Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3d406df-775e-49dd-9403-e9c2d9c0a007 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 57
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.478274Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 19515d4b-5351-45e8-ad0d-5f179caa304d · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 58
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.483172Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4fc3de2-a96f-442f-bf56-7bb851d78144 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 59
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.487915Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14c1d39d-bcb6-4f97-90ed-3d7a9dc3ac75 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 60
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 430af68d-ec06-4974-b36e-a79cddb4af0c · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 61
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4fef6d16-ca24-4d51-b3f3-61fd1748f12c · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 62
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T19:32:41.502355Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5fd3effa-c31c-4d68-b099-54060259a325 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 63
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b44f502-6662-49c5-b8b4-27c0206400ce · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 64
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7052b385-ab89-4c32-88e4-97dfec66020a · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 65
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e9817c1-b433-47e7-bacf-ee59e084dea8 · outbound
This paper cites Zhang, T.
Reference 66
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 743c9657-d3fb-480e-9f27-75796965f05f · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 67
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2675fca7-2946-419e-be3a-fec83e04778f · outbound
This paper cites Bordelon, A.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Bordelon, A
Reference 68
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bafbb9ca-96ae-4003-b313-671026519e74 · outbound
This paper cites Axelsson, Iterative solution methods, Cambridge university press, 1996.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Axelsson, Iterative solution methods, Cambridge university press, 1996
Reference 69
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0ecca34-1bb8-4009-b5c6-800b7fbbedfb · outbound
This paper cites Frequency Principle in Deep Learning Beyond Gradient-descent-based Training.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Frequency Principle in Deep Learning Beyond Gradient-descent-based Training
Reference 70
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 94471594-50dc-4cfc-bcc9-cb46b83d76b5 · outbound
This paper cites Understanding training and generalization in deep learning by Fourier analysis.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Understanding training and generalization in deep learning by Fourier analysis
Reference 71
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06fff390-6c56-402a-a6c4-0ae645077c44 · outbound
This paper cites Biland, V.
Reference 72
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1b3bef62-4106-4e52-a733-2fc7a8bb6c2a · outbound
This paper cites Jacot, F.
Reference 73
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e04b0e5a-970c-4ccc-90cd-3d13df28656d · outbound
This paper cites Luo, Z.-Q.
Reference 74
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6c16d754-d0c7-400a-9705-56a398717e8a · outbound
This paper cites Ronen, D.
Reference 75
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6eb144e1-dcb9-4d9d-9eea-c45e6f03f5f3 · outbound
This paper cites Explicitizing an Implicit Bias of the Frequency Principle in Two-layer Neural Networks.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Explicitizing an Implicit Bias of the Frequency Principle in Two-layer Neural Networks
Reference 76
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e30ed7c1-b0b1-433b-a05d-b221906109ff · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 77
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f36454a6-0351-4c79-b376-89702ad27a38 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 78
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0da924f6-f9a9-4195-ae70-0258ac0b2a34 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 79
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 16046ccc-5adf-477c-a517-14d013331c45 · outbound
This paper cites Accelerating Physics-Informed Neural Network Training with Prior Dictionaries.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Accelerating Physics-Informed Neural Network Training with Prior Dictionaries
Reference 80
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7dbce4ab-c40c-4d5b-9851-aaf56213f7a4 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 81
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f3298660-ab82-480c-9ff8-b50223f211ad · outbound
This paper cites multi- scale deep neural network (mscalednn) for solving poisson-boltzmann equation in complex domains cicp, 28 (5): 1970–2001, 2020.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs multi- scale deep neural network (mscalednn) for solving poisson-boltzmann equation in complex domains cicp, 28 (5): 1970–2001, 2020
Reference 82
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 91f8f24f-0fba-43e0-8946-5c4e9e49f9a2 · outbound
This paper cites Tancik, P.
Reference 83
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 82dc4bd7-afc4-419b-b072-26ca968152db · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 84
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 30b054c0-cb99-4121-a11b-5d82c023b293 · outbound
This paper cites Multi-scale Deep Neural Networks for Solving High Dimensional PDEs.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Multi-scale Deep Neural Networks for Solving High Dimensional PDEs
Reference 85
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4422735-e86e-4e4d-be3b-3e5c83a31cda · outbound
This paper cites Huang, H.
Reference 86
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e64378df-60f7-40d6-91ef-c8e49386aa66 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 87
- Resolution
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- raw_fallback, observed 2026-08-10T19:32:43.264678Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c25b544e-11aa-4fe9-a5e9-b3a9d5a8d241 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 88
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 543b4589-2d26-4e17-8e18-c247b7880be2 · outbound
This paper cites Li, Z.-Q.
Reference 89
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0f9d206b-76f1-4f4c-be3e-748bb37d1321 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 90
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 54813a23-9337-471c-ad27-a192d4fa96ca · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 91
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 24704c30-1748-4e95-ab44-769e53389869 · outbound
This paper cites Linearized Learning Methods with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Linearized Learning Methods with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions
Reference 92
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation baa6b7cb-92c3-493f-a5d0-77570a000809 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 93
- Resolution
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- raw_fallback, observed 2026-08-10T19:32:43.179379Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b2e53d93-336e-4c91-bcdb-639fcd9bd5d0 · outbound
This paper cites Multiscale Physics-Informed Neural Networks for the Inverse Design of Hyperuniform Optical Materials.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Multiscale Physics-Informed Neural Networks for the Inverse Design of Hyperuniform Optical Materials
Reference 94
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:32:42.495327Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 93a9f8f1-3b5b-4ccf-9ea5-c35c242b9c74 · outbound
This paper cites On Spectral Bias Reduction of Multi-scale Neural Networks for Regression Problems.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs On Spectral Bias Reduction of Multi-scale Neural Networks for Regression Problems
Reference 95
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T19:32:42.471242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation dc2489c6-c373-470f-a32a-49c836487cc1 · outbound
This paper cites Frequency-adaptive Multi-scale Deep Neural Networks.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Frequency-adaptive Multi-scale Deep Neural Networks
Reference 96
- Resolution
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- no resolver link, observed 2026-08-10T19:32:41.671004Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 907b1bb6-9962-4d8f-a344-7280e9119913 · outbound
This paper cites Vaswani, N.
Reference 97
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a37bcd3e-a465-4370-895c-c3a71214b6c6 · outbound
This paper cites Mildenhall, P.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Mildenhall, P
Reference 98
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8ba0acf-7277-4eb4-95ef-860c5fa045e4 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 99
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 82f9d51a-e11d-4128-bd78-7a254ba6a6e5 · outbound
This paper cites an unresolved cited work.
On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs Unresolved cited work
Reference 100
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 08b69060-4500-4011-aef3-cf2b25a921ef · inbound
A Greedy PDE Router for Blending Neural Operators and Classical Methods cites this paper.
A Greedy PDE Router for Blending Neural Operators and Classical Methods On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
Reference 18
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 289179aa-29c7-4ffd-ba23-8775cefd29d8 · inbound
SUPER Module for Detail-Sensitive and Cost-Efficient U-Net Variant Decoders cites this paper.
SUPER Module for Detail-Sensitive and Cost-Efficient U-Net Variant Decoders On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
Reference 22
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c16cf52b-7a8c-40cc-984f-92951f13f01f · inbound
On the Convergence Behavior of Preconditioned Gradient Descent Toward the Rich Learning Regime cites this paper.
On the Convergence Behavior of Preconditioned Gradient Descent Toward the Rich Learning Regime On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
Reference 21
- Resolution
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- arxiv_id, observed 2026-05-16T17:23:09.967086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.