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Paper Citation Record · LEDGER

Diffeomorphic Neural Operator Learning

As of 9 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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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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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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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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Observation 1b63232e-0f8a-4c05-97ce-110a04687d72 · outbound

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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Observation 8b5ab3a3-81f2-4d77-8a69-952f4ac8f554 · outbound

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

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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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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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

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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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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.637931Z digest=sha256:ab90fefea61a2958ad30aa71b210154446bc303b80f21a1f0207fcf4861bfa3e

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
unresolved
no resolver link, observed 2026-08-05T22:39:54.640928Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:39:54.640928Z digest=sha256:7020c346cd587373aa25cadbe326a33a084b64437ba0811cf7bedb38631f7009

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
unresolved
no resolver link, observed 2026-08-05T22:39:54.643991Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:39:54.643991Z digest=sha256:5e7b9497cde342bd53de4819f8565b9214a3d54c03c3f4ba95d9fd69918c4721

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
no resolver link, observed 2026-08-05T22:39:54.647322Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:39:54.647322Z digest=sha256:321161d911658eea86f6a1951aa37ecc24035bdfc0751e174d6202f22b8b542d

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.650514Z digest=sha256:934b7f88e8619840105670ea8c33cae12cd74699ac0f1a3d9748559be5a94b20

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.653454Z digest=sha256:62dd5282cfb528108023583f482ccad94602bc7f5249f70bec5e4ee6622a8c31

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=sha256:41f07ec940542ad7553572cb45e79dbe4ecd7a57083ae8d00696f2926e536567

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.659337Z digest=sha256:c643e70dd2e3e3a38a62aae5433b67d6a053cd93f7c12db9911c89e074f1e21b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.662202Z digest=sha256:4b78220d48ef3d6ad8a0da6a89f6e53ddde1e12381a96e30b6f902ba7ccb73fe

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.665299Z digest=sha256:d0a95c7c04a01206294df6afad672fed2eaa9b188937a35cdffb9e5bc7550851

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.668116Z digest=sha256:5ac0835263fd0333773b4ca10c592f8c28ab0e79cf6ee25a96afe064eb28fc8e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.671293Z digest=sha256:837596deee4b8a5d0786eaecc9bf4dbfb01cc4d3e34c4bb98feed08d8f9c2652

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.674213Z digest=sha256:2efa10e4c8c9db3914bf1bae8f4475c2d9f5d1b69d7292085fe1b8c4289d2060

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.677252Z digest=sha256:7fdcc1c1aeef03f8dc5be9c297c8e0c1b68e5853339d93d14718435442a1aa11

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.680211Z digest=sha256:800658e27f88046a4e2f048846d489563f518ffe58f8e95f7a7e4c15b04c6595

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.683590Z digest=sha256:cd289677e323fadcbb6b43362cf62b63630827261d74a9ca3594cad9b4e7eeaf

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.686699Z digest=sha256:91db2fc0dfce01020796898b4323986fc79525e691403144b475956720aa19d6

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.690541Z digest=sha256:4f18d4a6a28a46c377743b2d4d72b8c29d992e429ef9454f75f54e9a24bc50dc

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.693899Z digest=sha256:3211a67824f4406e28855f6f5913d4f07af81c0f36261e776e88eb45f00782ae

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.697365Z digest=sha256:7c5a1672edef13cc46a5525f898b98736110d4fc05c26542b428f98161032aba

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.700734Z digest=sha256:19ed187fb18d591a30fe9ac970f210cc959987450bcb05d571b1d8ac7a17bcaf

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.704407Z digest=sha256:df72d73cec92d18a7c5066904a7cc3ef8491f9956bf3be9747a8704f8e64d93f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.707828Z digest=sha256:b165a47a7b12731b85de5a165df3a6bd194a22b9f8bfad708611d03099377e45

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.711354Z digest=sha256:12fc9407e1d72c34215f71feb7bd128988c41d99fcde643802ff204289202c25

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.714409Z digest=sha256:88f8e36118fd98707c24077a4ff4b0c7efe6d912a509897fa880a20d8cbb230d

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=sha256:2df4275bee2231f1fb91b7b222736da03753351c16a2189e23c8ced8d8fe0777

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=sha256:154e88ac0b9f08cae7fa248c83e62f55be76c5abda7c96708b39a9fa56e54286

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:a3a9a1184ca268a7b49ed53428aea49777f0bbe2bd23ed996b8d1065b929487f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.728132Z digest=sha256:8192f504375de5754f01839d9cc507a978c9fba88c7aa902ff98aa1bab210b8d

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.731148Z digest=sha256:3cdf62cf9ffa61d9ba77491bb8625232b5532125729030ed4c8d05718f6c97bd

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.734404Z digest=sha256:e731bd97b3ec2d52d90fd081b6d62eb21c13ecc4828c7f43c4851f6ce57e601c

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.737376Z digest=sha256:82bc9d6c931b5a4d9bfc535d9717c9111f5920e40f253fff07121d5772af87c9

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.740474Z digest=sha256:234bf327e39064218abc9a0a5e5c7f4fed5a495958cee57f29b9e3162709d142

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.743469Z digest=sha256:b6a9e8507306a37e8726cb0674a7e0a850ef284486f3938c3772d7b089a60381

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.746525Z digest=sha256:8aa8b79371fd4935e594fa380053c913787dfdb4ab57d55d8a9c478041d3319e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T22:39:54.749738Z digest=sha256:43d56557b408b066b81ef0ec46b6058daa18d5c999fb2ce148dac24427c13c13

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:fa4b4323f320533d7503e27f29c43d277ba1f2e37dc4a32d3828a295f47ce2a3

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T04:53:12.913999Z digest=sha256:2718f0cb48aec7f86105f3f26923d8229a48ad391aa511d4670941333d02fdd7