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Paper Citation Record · LEDGER

Diffeomorphic Neural Operator Learning

As of 20 August 2026, this Paper Citation Record lists 74 of 74 outbound references and 1 inbound Pith citation observation for arXiv:2508.06690.

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

pith.paper-citation-record.v1
2508.06690 v1

Coverage vector

measured 74 of 74 reference resolution

Typed states for the displayed outbound observations.

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measured 75 of 75 standing notices

One-hop event checks from named stored sources.

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T04:53:12.913999Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T11:10:09.862507Z

Reference resolution

74 of 74 outbound references displayed

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  • verified fuzzy49
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External citation measurements

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Outbound references

Observation 12d3b875-6684-4847-8f29-522e34cfaf1f · outbound

This paper cites Deep learning.

Diffeomorphic Neural Operator Learning Deep learning

Reference 1

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This paper cites Imagenet classification with deep convolutional neural networks.

Diffeomorphic Neural Operator Learning Imagenet classification with deep convolutional neural networks

Reference 2

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This paper cites Language models are few-shot learners.

Diffeomorphic Neural Operator Learning Language models are few-shot learners

Reference 3

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This paper cites The era5 global reanalysis.

Diffeomorphic Neural Operator Learning The era5 global reanalysis

Reference 4

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Observation 6490efae-090d-4971-90d5-7d4d07433209 · outbound

This paper cites Accurate medium-range global weather forecasting with 3d neural networks.

Diffeomorphic Neural Operator Learning Accurate medium-range global weather forecasting with 3d neural networks

Reference 5

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Observation 997300d1-89c2-4bf0-90a6-895581cd2cfe · outbound

This paper cites Fourcastnet: Accelerating global high- resolution weather forecasting using adaptive fourier neural operators.

Diffeomorphic Neural Operator Learning Fourcastnet: Accelerating global high- resolution weather forecasting using adaptive fourier neural operators

Reference 6

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Observation f645a801-239a-4abb-bf47-bcd5d523a228 · outbound

This paper cites Learning skillful medium-range global weather forecasting.

Diffeomorphic Neural Operator Learning Learning skillful medium-range global weather forecasting

Reference 7

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Observation 6e118a58-1014-44b3-919c-9173afe3aa24 · outbound

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

Diffeomorphic Neural Operator Learning Model reduction and neural networks for parametric pdes

Reference 8

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Observation 0d3df99c-281b-4861-8a63-5b3f21f17ae3 · outbound

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

Diffeomorphic Neural Operator Learning Fourier Neural Operator for Parametric Partial Differential Equations

Reference 9

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Observation 05573fd5-a10e-4b6e-9e39-cd7ebd3512e7 · outbound

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

Diffeomorphic Neural Operator Learning Learning nonlinear operators via deeponet based on the universal approximation theorem of operators

Reference 10

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Observation 8f06aff4-bbc7-4dc6-bd39-d7014dc3b3eb · outbound

This paper cites Convolutional neural operators.

Diffeomorphic Neural Operator Learning Convolutional neural operators

Reference 11

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Observation f9c51162-d252-4d06-ae2f-8eddaef646cb · outbound

This paper cites Kernel methods are competitive for operator learning.

Diffeomorphic Neural Operator Learning Kernel methods are competitive for operator learning

Reference 12

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Observation 7856fb1b-4732-4132-ba28-bde24ce2c0bb · outbound

This paper cites Physics-informed machine learning: case studies for weather and climate modelling.Philosophical Transactions of the Royal Society A, 379(2194):20200093, 2021.

Diffeomorphic Neural Operator Learning Physics-informed machine learning: case studies for weather and climate modelling.Philosophical Transactions of the Royal Society A, 379(2194):20200093, 2021

Reference 13

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Diffeomorphic Neural Operator Learning Unresolved cited work

Reference 14

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Observation b048ecae-9b88-42b5-b5e2-4671d49813cf · outbound

This paper cites Achieving Conservation of Energy in Neural Network Emulators for Climate Modeling.

Diffeomorphic Neural Operator Learning Achieving Conservation of Energy in Neural Network Emulators for Climate Modeling

Reference 15

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Observation 1c795a30-a416-4e62-9e3e-45bbdb5b6ec0 · outbound

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

Diffeomorphic Neural Operator Learning Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 16

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Observation 2d928e9b-e4c1-4124-ab77-5d512789efea · outbound

This paper cites Physics-informed neural operator for learning partial differential equations.

Diffeomorphic Neural Operator Learning Physics-informed neural operator for learning partial differential equations

Reference 17

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Observation 80839f7e-f340-4f8a-a798-f9c1f1bd7a5a · outbound

This paper cites Embedding Hard Physical Constraints in Neural Network Coarse-Graining of 3D Turbulence.

Diffeomorphic Neural Operator Learning Embedding Hard Physical Constraints in Neural Network Coarse-Graining of 3D Turbulence

Reference 18

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Observation c76afee9-8be8-4fd7-ad52-8d6d0db9dd19 · outbound

This paper cites Enforcing physical constraints in cnns through differentiable pde layer.

Diffeomorphic Neural Operator Learning Enforcing physical constraints in cnns through differentiable pde layer

Reference 19

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Observation 7b46fbc2-6ddd-4c85-b98c-25b677fb39a9 · outbound

This paper cites Incorporating Symmetry into Deep Dynamics Models for Improved Generalization.

Diffeomorphic Neural Operator Learning Incorporating Symmetry into Deep Dynamics Models for Improved Generalization

Reference 20

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Observation c1cb9a25-1147-43ed-898d-623551190d78 · outbound

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Diffeomorphic Neural Operator Learning Geometric deep learning: going beyond euclidean data

Reference 21

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Observation 72befe50-c993-43ae-bb73-1fc2e27d9032 · outbound

This paper cites The Parametric Complexity of Operator Learning.

Diffeomorphic Neural Operator Learning The Parametric Complexity of Operator Learning

Reference 22

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Observation 353d31c3-8e2d-4ed1-9f23-9c74eddae936 · outbound

This paper cites Approximation of infinitely differentiable multivariate functions is intractable.

Diffeomorphic Neural Operator Learning Approximation of infinitely differentiable multivariate functions is intractable

Reference 23

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Observation a3861025-35b2-43fc-b11f-3840e480a0e3 · outbound

This paper cites Data Complexity Estimates for Operator Learning.

Diffeomorphic Neural Operator Learning Data Complexity Estimates for Operator Learning

Reference 24

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Observation 9753f0e8-1282-4b94-9cd9-d831f8f0948e · outbound

This paper cites Sparse polynomial approximation of high- dimensional functions, volume 25.

Diffeomorphic Neural Operator Learning Sparse polynomial approximation of high- dimensional functions, volume 25

Reference 25

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This paper cites Approximation of high-dimensional parametric pdes.

Diffeomorphic Neural Operator Learning Approximation of high-dimensional parametric pdes

Reference 26

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Observation c401f115-6ddc-4a65-8920-d28f3af5b608 · outbound

This paper cites Exponential convergence of deep operator networks for elliptic partial differential equations.

Diffeomorphic Neural Operator Learning Exponential convergence of deep operator networks for elliptic partial differential equations

Reference 27

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Observation 8c62fde8-1559-4520-ac0c-4a913d74ebc5 · outbound

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

Diffeomorphic Neural Operator Learning Error estimates for deeponets: A deep learning framework in infinite dimensions

Reference 28

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Observation 7954c0fc-b65b-4d98-8989-5c7c251ebaf2 · outbound

This paper cites Structure-Preserving Operator Learning.

Diffeomorphic Neural Operator Learning Structure-Preserving Operator Learning

Reference 29

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This paper cites Finite element exterior calculus.

Diffeomorphic Neural Operator Learning Finite element exterior calculus

Reference 30

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Observation cef1b088-1205-40b1-a136-861bb38530ce · outbound

This paper cites Lagrangian Flow Networks for Conservation Laws.

Diffeomorphic Neural Operator Learning Lagrangian Flow Networks for Conservation Laws

Reference 31

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Observation bc1d0b5e-fdee-4df2-a999-ab927b75bfae · outbound

This paper cites Synthetic lagrangian turbulence by generative diffusion models.

Diffeomorphic Neural Operator Learning Synthetic lagrangian turbulence by generative diffusion models

Reference 32

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Source-reported events for the cited work

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Observation ef5cfd66-5220-4cb3-8e5b-cef1d2f2397d · outbound

This paper cites Recent Advances on Machine Learning for Computational Fluid Dynamics: A Survey.

Diffeomorphic Neural Operator Learning Recent Advances on Machine Learning for Computational Fluid Dynamics: A Survey

Reference 33

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Unavailable: canonical work link unavailable.

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Observation 6db00894-7525-4fec-b46b-af9a8720d11b · outbound

This paper cites A characteristic mapping method for the two-dimensional incompressible euler equations.

Diffeomorphic Neural Operator Learning A characteristic mapping method for the two-dimensional incompressible euler equations

Reference 34

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8c3c916a-857e-416b-a078-57ad816ce2ef · outbound

This paper cites A characteristic mapping method for the three- dimensional incompressible euler equations.

Diffeomorphic Neural Operator Learning A characteristic mapping method for the three- dimensional incompressible euler equations

Reference 35

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Source-reported events for the cited work

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Observation 5d0c23ac-7507-4de9-aa80-a111c84bde0f · outbound

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Diffeomorphic Neural Operator Learning A projection-based characteristic mapping method for tracer transport on the sphere

Reference 36

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Source-reported events for the cited work

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Observation 8ad2dc39-52a3-45be-a22d-dbd9ed14136e · outbound

This paper cites Infinite dimentional lie groups with applications to mathematical physics.

Diffeomorphic Neural Operator Learning Infinite dimentional lie groups with applications to mathematical physics

Reference 37

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.634827Z digest=sha256:6978065c046501f0f210b74057d7c97912c21f91a74249b4eaba5bfd06319f1a

Observation b1bd9fa1-8c72-4538-9d96-9111c3c7f5ea · outbound

This paper cites An introduction to infinite-dimensional differential geometry, volume 202.

Diffeomorphic Neural Operator Learning An introduction to infinite-dimensional differential geometry, volume 202

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.269903Z

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source=pdf_text observed=2026-08-05T22:39:54.637931Z digest=sha256:d435d57bb834c1007ea2761f32462b45241e2368c39c1ca98e44bc2e56adfc6f

Observation 24f7b9b0-c48a-4c73-aa7a-72e6737b663d · outbound

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

Diffeomorphic Neural Operator Learning Neural operator: Learning maps between function spaces with applications to pdes

Reference 39

Resolution
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source=pdf_text observed=2026-08-05T22:39:54.640928Z digest=sha256:4ef8c77d0b487a2e26f69e60af7238627bd8d4206b41f70a079fe10b23aa4ae0

Observation 32d6bcb4-b0e4-477d-b479-74fe9b9e594f · outbound

This paper cites Operator Learning: Algorithms and Analysis.

Diffeomorphic Neural Operator Learning Operator Learning: Algorithms and Analysis

Reference 40

Resolution
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source=pdf_text observed=2026-08-05T22:39:54.643991Z digest=sha256:9cae39d48f5ae2a12f0c52f5351b71f6831a3e6948b618659d9f230f03bbb1c2

Observation 84ea3fcc-b171-4c5e-9d78-5af716e2ba8f · outbound

This paper cites Towards Stability of Autoregressive Neural Operators.

Diffeomorphic Neural Operator Learning Towards Stability of Autoregressive Neural Operators

Reference 41

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:39:54.647322Z digest=sha256:20135e07887da471834561183b0f5d02fdc05ea14dd7747e4cf978073ff09af2

Observation 56070687-bbd3-4639-b305-9cb34485e7b8 · outbound

This paper cites Representation equivalent neural operators: a framework for alias-free operator learning.

Diffeomorphic Neural Operator Learning Representation equivalent neural operators: a framework for alias-free operator learning

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.253812Z

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source=pdf_text observed=2026-08-05T22:39:54.650514Z digest=sha256:be349a6fa1fb2ad1187d7c3a3596616ef0409cd982be3c9fcc38618319e47461

Observation d12c3d83-24ea-43c6-af7a-47d22cc7bc9d · outbound

This paper cites Spectral neural operators.

Diffeomorphic Neural Operator Learning Spectral neural operators

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.244201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.653454Z digest=sha256:d2ed4b821749f57a3dc62d2414040b949d98cdaaf955eb4affcb99c317080a07

Observation 26fdf88e-0f14-48be-b656-0b257fd88455 · outbound

This paper cites Super-resolution neural operator.

Diffeomorphic Neural Operator Learning Super-resolution neural operator

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-05T22:39:54.656451Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:39:54.656451Z digest=sha256:2ccfb6d49e89da5eb100efc61773d55f1444cbfb05fba672330f8b47ea028ab2

Observation 44f04ba7-34c1-4cf2-94b8-76a284a5d7c5 · outbound

This paper cites Discretization-invariance? on the discretization mis- match errors in neural operators.

Diffeomorphic Neural Operator Learning Discretization-invariance? on the discretization mis- match errors in neural operators

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.227604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.659337Z digest=sha256:804bcd4c503009f424a8f08e01cd3b77cf61c099a603c4f4bd30ed2fe838556d

Observation 3132eb1a-d8b4-4b3f-b188-e8cc23ca46a3 · outbound

This paper cites A characteristic mapping method for incompressible hydrodynamics on a rotating sphere.

Diffeomorphic Neural Operator Learning A characteristic mapping method for incompressible hydrodynamics on a rotating sphere

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:39:54.838462Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.662202Z digest=sha256:05672dbffc22cf6355d4f6b8f6152dc19d6754b001ddc08aa15567de983355da

Observation fd8f9774-59ca-43c0-b2d7-b8293653da8e · outbound

This paper cites A fully lagrangian advection scheme.

Diffeomorphic Neural Operator Learning A fully lagrangian advection scheme

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.217954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.665299Z digest=sha256:a350b628f2a37859dc777e3c1f0971e349db48941ac76537c87c123e10f12fac

Observation 6ecd8b8a-04bf-42de-b392-4e9e743cbb31 · outbound

This paper cites Computational analysis of lddmm for brain mapping.

Diffeomorphic Neural Operator Learning Computational analysis of lddmm for brain mapping

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.208243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.668116Z digest=sha256:3abf244924d6dd4888f20218088c802c205f7fc6bd37450464f32810b452bf51

Observation 691ff3bf-e1a7-4cc1-b8eb-0133461c9e4a · outbound

This paper cites On the manifold structure of the space of brain images.

Diffeomorphic Neural Operator Learning On the manifold structure of the space of brain images

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.198642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.671293Z digest=sha256:68213295f31bd03fc26e017e4e87d8b33bf3f7924d36bb6e0210fb5a7ccd810b

Observation 4b76f2ec-82bd-461e-a17b-f90cbdedd596 · outbound

This paper cites Diffeomorphisms groups and pattern matching in image analysis.

Diffeomorphic Neural Operator Learning Diffeomorphisms groups and pattern matching in image analysis

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.189034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.674213Z digest=sha256:d94182fa1dcd8486d2760b7fcf0cccee66ca3a7e60365b885855be046324518a

Observation a2f0e42c-885d-4f04-8996-f4d7c8328dfa · outbound

This paper cites Variational problems on flows of diffeomorphisms for image matching.

Diffeomorphic Neural Operator Learning Variational problems on flows of diffeomorphisms for image matching

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.178409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.677252Z digest=sha256:a9054dcc3739961d6bbcea935bf717da905240d750238efdc61ca832073904f3

Observation 52fcc7e7-b21b-44ba-904c-1c29770f59b7 · outbound

This paper cites Geodesic shooting for computational anatomy.

Diffeomorphic Neural Operator Learning Geodesic shooting for computational anatomy

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.169340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.680211Z digest=sha256:067fc3b713ba68b85bd7a0a32c48132f7bbf9ad49a808b5055b32c70ab3cfbc6

Observation db32f7ef-68c9-4bc4-8c97-b3b5eaef39d1 · outbound

This paper cites Diffeomorphic registration using geodesic shooting and gauss–newton optimisation.

Diffeomorphic Neural Operator Learning Diffeomorphic registration using geodesic shooting and gauss–newton optimisation

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.160563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.683590Z digest=sha256:8e24a0996b9d11cfac58673f87c5770154338dbeb018935c3f0f676df97c9a01

Observation 4670bd26-603e-4d4c-90cf-d8247a46f38d · outbound

This paper cites Diffeomorphic 3d image registration via geodesic shooting using an efficient adjoint calculation.

Diffeomorphic Neural Operator Learning Diffeomorphic 3d image registration via geodesic shooting using an efficient adjoint calculation

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.151161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.686699Z digest=sha256:d5d5a85e73ba38ef6476475b360112fc839dd93688e7e4c57be220d74e6949d0

Observation 8f192f23-c600-472f-bdfb-9b2f21f3855f · outbound

This paper cites Shapes and diffeomorphisms, volume 171.

Diffeomorphic Neural Operator Learning Shapes and diffeomorphisms, volume 171

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.141883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.690541Z digest=sha256:48d65ed2ae03723fa310ffdd888a6bcecbf8b6cd04371c06c6b540cee4cd5b32

Observation 0f877441-1f7f-4ab6-af70-0d0f8587e5b2 · outbound

This paper cites Overview of the geometries of shape spaces and diffeomorphism groups.

Diffeomorphic Neural Operator Learning Overview of the geometries of shape spaces and diffeomorphism groups

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.132744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.693899Z digest=sha256:e39aa5b792acbbd30b529b00833a5d4567c0d24b6aebbb0d2d848f5964a347a7

Observation d242938b-5de3-4932-9144-25cafa141b17 · outbound

This paper cites Computing large deformation metric mappings via geodesic flows of diffeomorphisms.

Diffeomorphic Neural Operator Learning Computing large deformation metric mappings via geodesic flows of diffeomorphisms

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.123075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.697365Z digest=sha256:5d016d05bfa511c13819115739036e66c1897bf4e69823d3bc30b474bba4bc0d

Observation 61040906-ce7f-460b-8f74-cc67fd340b49 · outbound

This paper cites On completeness of groups of diffeomorphisms.

Diffeomorphic Neural Operator Learning On completeness of groups of diffeomorphisms

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.113837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.700734Z digest=sha256:4af1f1a5cac915c3011942b81be4fad9e29e9e7c485ae4b145ba9050a0402e9b

Observation 096851db-de86-4569-8c75-32ed458a2cd5 · outbound

This paper cites On universal approximation and error bounds for fourier neural operators.

Diffeomorphic Neural Operator Learning On universal approximation and error bounds for fourier neural operators

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.104727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.704407Z digest=sha256:f06a787deb3c7f0f380e8dd557d9119cf3db45ef0a1ac041179bdd54b36ca3dc

Observation d7e655cd-a772-4db0-9744-cdb01097092b · outbound

This paper cites On the regularity of the composition of diffeomorphisms, volume 226.

Diffeomorphic Neural Operator Learning On the regularity of the composition of diffeomorphisms, volume 226

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.095398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.707828Z digest=sha256:b6f40d8f83be9af23413b0255a172c73029ac7ba12d7e499718784bedf01809b

Observation eea5f04e-e58e-46ee-bfa2-dad95a3dd252 · outbound

This paper cites Fredholm properties of riemannian exponential maps on diffeo- morphism groups.

Diffeomorphic Neural Operator Learning Fredholm properties of riemannian exponential maps on diffeo- morphism groups

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.085872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.711354Z digest=sha256:71a74eb66dc5dfed63538f98f988a81a28b141ffc1a3ceca86e95a147395f8c3

Observation 27fb1464-db51-4499-98d4-2f3df7c8440d · outbound

This paper cites On the volume elements on a manifold.

Diffeomorphic Neural Operator Learning On the volume elements on a manifold

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.076438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.714409Z digest=sha256:c5ca67a05be31b00bf00d4d1dc2007cb264305588270e3387f88290268020b6d

Observation 2c79a67c-e437-4475-b85d-9a19fb6cac81 · outbound

This paper cites Wavelet neural operator: a neural operator for parametric partial differential equations.

Diffeomorphic Neural Operator Learning Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-05T22:39:54.717580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:39:54.717580Z digest=sha256:cb3d1f82fb4a35d4a206f529473fecac683a3407eeeeafa1cc0de4a614e60d95

Observation 79ae6815-d24e-48b4-84e0-1f545fb7ca46 · outbound

This paper cites Neural Operators with Localized Integral and Differential Kernels.

Diffeomorphic Neural Operator Learning Neural Operators with Localized Integral and Differential Kernels

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-05T22:39:54.720872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:39:54.720872Z digest=sha256:d594868b5dfccd7bd54767b8ec6c60d41d3445dbbcc1e3e91289a88d10229322

Observation 11853f91-4c5c-4f62-a43a-49ec74c9d3aa · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Diffeomorphic Neural Operator Learning Adam: A Method for Stochastic Optimization

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-05T22:39:54.724700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:39:54.724700Z digest=sha256:f4ef0d8773e0200e8a79bfc0a75079288195bd32024cc357a0860004b686b015

Observation 2569e0fd-f9ee-4d2e-b77b-51901c7f6958 · outbound

This paper cites The characteristic mapping method for the linear advection of arbitrary sets.

Diffeomorphic Neural Operator Learning The characteristic mapping method for the linear advection of arbitrary sets

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.067298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.728132Z digest=sha256:1364752c122af2a79199ac707075c125103ac4391039432706e2577f25f952d5

Observation 4f1a7409-e594-4b39-af69-690af21c1765 · outbound

This paper cites Two-dimensional turbulence.Reports on Progress in Physics, 43(5):547, 1980.

Diffeomorphic Neural Operator Learning Two-dimensional turbulence.Reports on Progress in Physics, 43(5):547, 1980

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.057566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.731148Z digest=sha256:239ccbd50a5ec45c7081b6efab85bcc162b8c140a7544b2d198044614f9b3b60

Observation 9c7449a4-e128-4d6e-a833-330a0aff285f · outbound

This paper cites Two-dimensional turbulence.

Diffeomorphic Neural Operator Learning Two-dimensional turbulence

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.047820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.734404Z digest=sha256:6b6a7fc53ce1b53d26a2e6570ace5fc984090c9206abd7df2a33de6fc903872a

Observation 9347abac-4873-4fed-8a48-2ecfa0cd9f9e · outbound

This paper cites The measurement and analysis of shapes: An application of hydrody- namics and probability theory.

Diffeomorphic Neural Operator Learning The measurement and analysis of shapes: An application of hydrody- namics and probability theory

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.036458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.737376Z digest=sha256:c95a3fba15dc3be69a7c11ae7f94076704dd8b80c942681851c6db4fff60772f

Observation a7fc94d9-d884-4f5e-88c8-e075d17cf493 · outbound

This paper cites Mixture of kernels and iterated semidirect product of diffeomorphisms groups.

Diffeomorphic Neural Operator Learning Mixture of kernels and iterated semidirect product of diffeomorphisms groups

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.024492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.740474Z digest=sha256:f85769103a0ad5130ce468dd4a441bbf3d1389df15625a5fd6f99437c700b4f7

Observation a3785f6d-5a81-460b-a7c2-1ffcd2262b59 · outbound

This paper cites The euler-poincar´e theory of metamorphosis.

Diffeomorphic Neural Operator Learning The euler-poincar´e theory of metamorphosis

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.011882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.743469Z digest=sha256:6ba746e1acea6b85adf529df99092eb573f05aa2f9d6debccfae4d65dc428a2e

Observation f48a43c7-3570-438a-965a-f558ec85f749 · outbound

This paper cites A remark on stirling’s formula.

Diffeomorphic Neural Operator Learning A remark on stirling’s formula

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:55.000716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.746525Z digest=sha256:9710c8e8fffe542576a302a29e57698217cdea0ed4f2dfc2d18ce8dc9c90429b

Observation 2c7098d3-5c45-405e-9b42-314141eb0e1c · outbound

This paper cites Infinite dimensional analysis: a hitchhiker’s guide.

Diffeomorphic Neural Operator Learning Infinite dimensional analysis: a hitchhiker’s guide

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:39:54.989707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T22:39:54.749738Z digest=sha256:da1c541a8ce91a4e9e78fdbf17e8ee85030832194434a97ef03a8fbc611b56cd

Observation 9b495817-711c-4bf2-9bfa-ab58d763f14a · outbound

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

Diffeomorphic Neural Operator Learning Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-05T22:39:54.752896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:39:54.752896Z digest=sha256:5fa04323b7f05686220bb59d1d3229b4614d82cd9ddad7be55265649c8ce758f

Pith citing papers

Observation b516f759-15e0-48fd-9392-00ce21ef0d50 · inbound

Neural Shape Operator Surrogates -- Expression Rate Bounds cites this paper.

Neural Shape Operator Surrogates -- Expression Rate Bounds Diffeomorphic Neural Operator Learning

Reference 59

Resolution
verified exact
arxiv_id, observed 2026-05-10T11:10:09.863834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-10T04:53:12.913999Z digest=sha256:0a7c5f9b3ce00c3e1ed91225c87fbd1d91def46b125656dfd6add18358dadbc0