Paper Citation Record · LEDGER

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines

As of 12 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2501.09395.

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

pith.paper-citation-record.v1
2501.09395 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:13:16.666626Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

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External citation measurements

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Outbound references

Observation 94a05eea-0465-44c1-9428-6968d00f2e22 · outbound

This paper cites Physics- informed machine learning.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Physics- informed machine learning

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.540447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13c561e5-7566-4ba6-9af3-be0bb1c5b40b · outbound

This paper cites Tackling the curse of dimensionality with physics-informed neural networks.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Tackling the curse of dimensionality with physics-informed neural networks

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:17.073300Z

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 a17e0c25-de10-4f5a-ac35-378feae5b90b · outbound

This paper cites Dgm: A deep learning algorithm for solving partial differential equations.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Dgm: A deep learning algorithm for solving partial differential equations

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:17.053529Z

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 11d4477f-e0b5-40b2-9c73-d577cd0d561f · outbound

This paper cites The deep minimizing movement scheme.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines The deep minimizing movement scheme

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:17.036483Z

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 3798c2d4-abfa-4c2b-a7c9-388ca361c73d · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.562842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61afb082-be15-46f0-9a21-6d680e3d7d33 · outbound

This paper cites Deepxde: A deep learning library for solving differential equations.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Deepxde: A deep learning library for solving differential equations

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.568122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8635b76-159f-408c-9517-c50f5b75d488 · outbound

This paper cites Physics-informed neural networks (pinns) for fluid mechanics: A review.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Physics-informed neural networks (pinns) for fluid mechanics: A review

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.573993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c828679b-a123-4ee9-a9dd-c3721168caa5 · outbound

This paper cites Deep neural network approach to forward-inverse problems.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Deep neural network approach to forward-inverse problems

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:16.977389Z

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 78a2f59b-a2ba-4449-86ce-be8d78b6d6f8 · outbound

This paper cites A pinn approach for identifying governing parameters of noisy thermoacoustic systems.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines A pinn approach for identifying governing parameters of noisy thermoacoustic systems

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:16.959473Z

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 32780854-f65f-4446-a3b7-a9128f1e9bcf · outbound

This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Learning nonlinear operators via deeponet based on the universal approximation theorem of operators

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.589689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30fca564-9fbe-4050-9b2c-dc922d5e95bc · outbound

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

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Neural operator: Learning maps between function spaces with applications to pdes

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.595592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b75c4ed-0c11-447d-a8c8-10788a5e834a · outbound

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

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Fourier Neural Operator for Parametric Partial Differential Equations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.601136Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e878a1b-1991-44ca-ad02-560ff2a89c6a · outbound

This paper cites Learning the solution operator of parametric partial differential equations with physics-informed deeponets.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Learning the solution operator of parametric partial differential equations with physics-informed deeponets

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.606742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42f88179-814b-4ae4-abe2-ba35198223c6 · outbound

This paper cites Physics-Informed Deep Inverse Operator Networks for Solving PDE Inverse Problems.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Physics-Informed Deep Inverse Operator Networks for Solving PDE Inverse Problems

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.611531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8eb56b76-458e-4497-bdda-0b95115e585c · outbound

This paper cites Variable-Input Deep Operator Networks.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Variable-Input Deep Operator Networks

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.616780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 454ba1fa-11de-4513-a776-22fadf61498a · outbound

This paper cites Finite Element Operator Network for Solving Elliptic-type parametric PDEs.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Finite Element Operator Network for Solving Elliptic-type parametric PDEs

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.622083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b86bcb7-61d4-43a3-8e08-2fa616430de9 · outbound

This paper cites Unsupervised legendre–galerkin neural network for solving partial differential equations.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Unsupervised legendre–galerkin neural network for solving partial differential equations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:16.905667Z

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 17d80aa1-7073-4f4b-a77c-f9168ccec5c3 · outbound

This paper cites Universal approximation using incremental constructive feedforward networks with random hidden nodes.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Universal approximation using incremental constructive feedforward networks with random hidden nodes

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:16.888319Z

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 11ba2996-4cbc-4121-baa5-7b08cfc3d4c5 · outbound

This paper cites Extreme learning machine and its applications.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Extreme learning machine and its applications

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:16.871209Z

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 0a2df36b-f9c4-4f03-a14d-c11d4abe5139 · outbound

This paper cites Trends in extreme learning machines: A review.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Trends in extreme learning machines: A review

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:16.853416Z

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 3cd654e2-0975-43b0-8915-3b1e8ea0120d · outbound

This paper cites A review on extreme learning machine.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines A review on extreme learning machine

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:16.836462Z

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 989c1d9b-e944-4676-85a9-560070d308d4 · outbound

This paper cites Physics informed extreme learning machine (pielm)–a rapid method for the numerical solution of partial differential equations.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Physics informed extreme learning machine (pielm)–a rapid method for the numerical solution of partial differential equations

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.651517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0ef2e3c-a667-474e-89c4-0c9b63b02f44 · outbound

This paper cites Augmented physics informed extreme learning machine to solve the biharmonic equations via fourier expansions.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Augmented physics informed extreme learning machine to solve the biharmonic equations via fourier expansions

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:16.808530Z

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 8dce53d2-657a-45c8-acaa-d13f792e9473 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Adam: A Method for Stochastic Optimization

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T20:13:16.661591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cc65f44-baf4-42f2-9c5e-301bc2b39f4e · outbound

This paper cites On stability and regularization for data-driven solution of parabolic inverse source problems.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines On stability and regularization for data-driven solution of parabolic inverse source problems

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:13:16.790964Z

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.

Pith citing papers

No inbound Pith citation observations are available.