Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T22:39:54.752896Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T22:39:54.752896Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-10T04:53:12.913999Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-10T11:10:09.862507Z
74 of 74 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 12d3b875-6684-4847-8f29-522e34cfaf1f · outbound
Diffeomorphic Neural Operator Learning Deep learning
Reference 1
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Observation 6a4d6709-c4c6-470d-b72b-9b1bfe7dc9df · outbound
Diffeomorphic Neural Operator Learning Imagenet classification with deep convolutional neural networks
Reference 2
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Observation 84642d4d-7037-4e18-9de1-6398cc09a274 · outbound
Diffeomorphic Neural Operator Learning Language models are few-shot learners
Reference 3
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Unavailable: canonical work link unavailable.
Observation 43ae178d-3048-4350-9dbf-411c43afded1 · outbound
Diffeomorphic Neural Operator Learning The era5 global reanalysis
Reference 4
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Observation 6490efae-090d-4971-90d5-7d4d07433209 · outbound
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
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
Diffeomorphic Neural Operator Learning Learning skillful medium-range global weather forecasting
Reference 7
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Observation 6e118a58-1014-44b3-919c-9173afe3aa24 · outbound
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
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
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
Diffeomorphic Neural Operator Learning Convolutional neural operators
Reference 11
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Observation f9c51162-d252-4d06-ae2f-8eddaef646cb · outbound
Diffeomorphic Neural Operator Learning Kernel methods are competitive for operator learning
Reference 12
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Observation 7856fb1b-4732-4132-ba28-bde24ce2c0bb · outbound
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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Observation 833ccb53-8190-4107-8354-ceaf962ce8c1 · outbound
Diffeomorphic Neural Operator Learning Unresolved cited work
Reference 14
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Observation b048ecae-9b88-42b5-b5e2-4671d49813cf · outbound
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
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
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
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
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
Diffeomorphic Neural Operator Learning Incorporating Symmetry into Deep Dynamics Models for Improved Generalization
Reference 20
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Unavailable: canonical work link unavailable.
Observation c1cb9a25-1147-43ed-898d-623551190d78 · outbound
Diffeomorphic Neural Operator Learning Geometric deep learning: going beyond euclidean data
Reference 21
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Observation 72befe50-c993-43ae-bb73-1fc2e27d9032 · outbound
Diffeomorphic Neural Operator Learning The Parametric Complexity of Operator Learning
Reference 22
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Observation 353d31c3-8e2d-4ed1-9f23-9c74eddae936 · outbound
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
Diffeomorphic Neural Operator Learning Data Complexity Estimates for Operator Learning
Reference 24
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Observation 9753f0e8-1282-4b94-9cd9-d831f8f0948e · outbound
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
Diffeomorphic Neural Operator Learning Approximation of high-dimensional parametric pdes
Reference 26
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Observation c401f115-6ddc-4a65-8920-d28f3af5b608 · outbound
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
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
Diffeomorphic Neural Operator Learning Structure-Preserving Operator Learning
Reference 29
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Observation 8b5ab3a3-81f2-4d77-8a69-952f4ac8f554 · outbound
Diffeomorphic Neural Operator Learning Finite element exterior calculus
Reference 30
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Observation cef1b088-1205-40b1-a136-861bb38530ce · outbound
Diffeomorphic Neural Operator Learning Lagrangian Flow Networks for Conservation Laws
Reference 31
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Observation bc1d0b5e-fdee-4df2-a999-ab927b75bfae · outbound
Diffeomorphic Neural Operator Learning Synthetic lagrangian turbulence by generative diffusion models
Reference 32
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Observation ef5cfd66-5220-4cb3-8e5b-cef1d2f2397d · outbound
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
Diffeomorphic Neural Operator Learning A characteristic mapping method for the two-dimensional incompressible euler equations
Reference 34
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Observation 8c3c916a-857e-416b-a078-57ad816ce2ef · outbound
Diffeomorphic Neural Operator Learning A characteristic mapping method for the three- dimensional incompressible euler equations
Reference 35
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Observation 5d0c23ac-7507-4de9-aa80-a111c84bde0f · outbound
Diffeomorphic Neural Operator Learning A projection-based characteristic mapping method for tracer transport on the sphere
Reference 36
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Observation 8ad2dc39-52a3-45be-a22d-dbd9ed14136e · outbound
Diffeomorphic Neural Operator Learning Infinite dimentional lie groups with applications to mathematical physics
Reference 37
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Observation b1bd9fa1-8c72-4538-9d96-9111c3c7f5ea · outbound
Diffeomorphic Neural Operator Learning An introduction to infinite-dimensional differential geometry, volume 202
Reference 38
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Observation 24f7b9b0-c48a-4c73-aa7a-72e6737b663d · outbound
Diffeomorphic Neural Operator Learning Neural operator: Learning maps between function spaces with applications to pdes
Reference 39
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Observation 32d6bcb4-b0e4-477d-b479-74fe9b9e594f · outbound
Diffeomorphic Neural Operator Learning Operator Learning: Algorithms and Analysis
Reference 40
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Observation 84ea3fcc-b171-4c5e-9d78-5af716e2ba8f · outbound
Diffeomorphic Neural Operator Learning Towards Stability of Autoregressive Neural Operators
Reference 41
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Observation 56070687-bbd3-4639-b305-9cb34485e7b8 · outbound
Diffeomorphic Neural Operator Learning Representation equivalent neural operators: a framework for alias-free operator learning
Reference 42
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Observation d12c3d83-24ea-43c6-af7a-47d22cc7bc9d · outbound
Diffeomorphic Neural Operator Learning Spectral neural operators
Reference 43
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Observation 26fdf88e-0f14-48be-b656-0b257fd88455 · outbound
Diffeomorphic Neural Operator Learning Super-resolution neural operator
Reference 44
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Observation 44f04ba7-34c1-4cf2-94b8-76a284a5d7c5 · outbound
Diffeomorphic Neural Operator Learning Discretization-invariance? on the discretization mis- match errors in neural operators
Reference 45
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Observation 3132eb1a-d8b4-4b3f-b188-e8cc23ca46a3 · outbound
Diffeomorphic Neural Operator Learning A characteristic mapping method for incompressible hydrodynamics on a rotating sphere
Reference 46
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Observation fd8f9774-59ca-43c0-b2d7-b8293653da8e · outbound
Diffeomorphic Neural Operator Learning A fully lagrangian advection scheme
Reference 47
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Observation 6ecd8b8a-04bf-42de-b392-4e9e743cbb31 · outbound
Diffeomorphic Neural Operator Learning Computational analysis of lddmm for brain mapping
Reference 48
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Observation 691ff3bf-e1a7-4cc1-b8eb-0133461c9e4a · outbound
Diffeomorphic Neural Operator Learning On the manifold structure of the space of brain images
Reference 49
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Observation 4b76f2ec-82bd-461e-a17b-f90cbdedd596 · outbound
Diffeomorphic Neural Operator Learning Diffeomorphisms groups and pattern matching in image analysis
Reference 50
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Observation a2f0e42c-885d-4f04-8996-f4d7c8328dfa · outbound
Diffeomorphic Neural Operator Learning Variational problems on flows of diffeomorphisms for image matching
Reference 51
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Observation 52fcc7e7-b21b-44ba-904c-1c29770f59b7 · outbound
Diffeomorphic Neural Operator Learning Geodesic shooting for computational anatomy
Reference 52
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Observation db32f7ef-68c9-4bc4-8c97-b3b5eaef39d1 · outbound
Diffeomorphic Neural Operator Learning Diffeomorphic registration using geodesic shooting and gauss–newton optimisation
Reference 53
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Observation 4670bd26-603e-4d4c-90cf-d8247a46f38d · outbound
Diffeomorphic Neural Operator Learning Diffeomorphic 3d image registration via geodesic shooting using an efficient adjoint calculation
Reference 54
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Observation 8f192f23-c600-472f-bdfb-9b2f21f3855f · outbound
Diffeomorphic Neural Operator Learning Shapes and diffeomorphisms, volume 171
Reference 55
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Observation 0f877441-1f7f-4ab6-af70-0d0f8587e5b2 · outbound
Diffeomorphic Neural Operator Learning Overview of the geometries of shape spaces and diffeomorphism groups
Reference 56
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Observation d242938b-5de3-4932-9144-25cafa141b17 · outbound
Diffeomorphic Neural Operator Learning Computing large deformation metric mappings via geodesic flows of diffeomorphisms
Reference 57
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Observation 61040906-ce7f-460b-8f74-cc67fd340b49 · outbound
Diffeomorphic Neural Operator Learning On completeness of groups of diffeomorphisms
Reference 58
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Observation 096851db-de86-4569-8c75-32ed458a2cd5 · outbound
Diffeomorphic Neural Operator Learning On universal approximation and error bounds for fourier neural operators
Reference 59
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Observation d7e655cd-a772-4db0-9744-cdb01097092b · outbound
Diffeomorphic Neural Operator Learning On the regularity of the composition of diffeomorphisms, volume 226
Reference 60
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Observation eea5f04e-e58e-46ee-bfa2-dad95a3dd252 · outbound
Diffeomorphic Neural Operator Learning Fredholm properties of riemannian exponential maps on diffeo- morphism groups
Reference 61
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Observation 27fb1464-db51-4499-98d4-2f3df7c8440d · outbound
Diffeomorphic Neural Operator Learning On the volume elements on a manifold
Reference 62
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Observation 2c79a67c-e437-4475-b85d-9a19fb6cac81 · outbound
Diffeomorphic Neural Operator Learning Wavelet neural operator: a neural operator for parametric partial differential equations
Reference 63
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Observation 79ae6815-d24e-48b4-84e0-1f545fb7ca46 · outbound
Diffeomorphic Neural Operator Learning Neural Operators with Localized Integral and Differential Kernels
Reference 64
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Diffeomorphic Neural Operator Learning Adam: A Method for Stochastic Optimization
Reference 65
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Observation 2569e0fd-f9ee-4d2e-b77b-51901c7f6958 · outbound
Diffeomorphic Neural Operator Learning The characteristic mapping method for the linear advection of arbitrary sets
Reference 66
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Observation 4f1a7409-e594-4b39-af69-690af21c1765 · outbound
Diffeomorphic Neural Operator Learning Two-dimensional turbulence.Reports on Progress in Physics, 43(5):547, 1980
Reference 67
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Observation 9c7449a4-e128-4d6e-a833-330a0aff285f · outbound
Diffeomorphic Neural Operator Learning Two-dimensional turbulence
Reference 68
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Observation 9347abac-4873-4fed-8a48-2ecfa0cd9f9e · outbound
Diffeomorphic Neural Operator Learning The measurement and analysis of shapes: An application of hydrody- namics and probability theory
Reference 69
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Observation a7fc94d9-d884-4f5e-88c8-e075d17cf493 · outbound
Diffeomorphic Neural Operator Learning Mixture of kernels and iterated semidirect product of diffeomorphisms groups
Reference 70
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Observation a3785f6d-5a81-460b-a7c2-1ffcd2262b59 · outbound
Diffeomorphic Neural Operator Learning The euler-poincar´e theory of metamorphosis
Reference 71
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Observation f48a43c7-3570-438a-965a-f558ec85f749 · outbound
Diffeomorphic Neural Operator Learning A remark on stirling’s formula
Reference 72
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Observation 2c7098d3-5c45-405e-9b42-314141eb0e1c · outbound
Diffeomorphic Neural Operator Learning Infinite dimensional analysis: a hitchhiker’s guide
Reference 73
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Observation 9b495817-711c-4bf2-9bfa-ab58d763f14a · outbound
Diffeomorphic Neural Operator Learning Nonlocality and Nonlinearity Implies Universality in Operator Learning
Reference 74
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Observation b516f759-15e0-48fd-9392-00ce21ef0d50 · inbound
Neural Shape Operator Surrogates -- Expression Rate Bounds Diffeomorphic Neural Operator Learning
Reference 59
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