Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T17:12:23.632495Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2507.11944.
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 2026-08-06T17:12:23.632495Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
50 of 50 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a6b23299-16e9-4cdb-b761-aa99f28f347d · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Neural operator: Graph kernel network for partial differential equations
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 96fd4c61-ce54-4ae7-8a68-cee1abc0c916 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Lévy processes and stochastic calculus
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 19bacbb8-97da-49bd-8d1e-74d10873177d · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Theory of reproducing kernels.Transactions of the American mathematical society, 68(3):337–404, 1950
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a129040-e94d-42e4-a9c3-24ac805cf923 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Application of a fractional advection-dispersion equation
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6b90730b-9e43-4a5b-8f04-374a64d8dc93 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Image denoising methods
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation be869a2a-8171-4c5c-be63-0464a6e367ac · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Aggregation-diffusion equations: dynamics, asymptotics, and singular limits
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 289e04de-f195-4886-8f1f-341e433285fb · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Convergence analysis of LSQR for compact operator equa- tions
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bb690bb1-fd87-479b-807b-8b1fd5a0c942 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels A data-adaptive RKHS prior for Bayesian learning of kernels in operators.Journal of Machine Learning Research, 25(317):1–37, 2024
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3fc2df67-eef9-43b9-9abd-8ee1e2674f2d · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Solving and learning nonlinear PDEs with gaussian processes.Journal of Computational Physics, 447:110668, 2021
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8bbfba20-d631-4cf9-a2d0-19b4f9bd385c · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Heat kernels for non-symmetric non-local operators.Recent developments in nonlocal theory, pages 24–51, 2018
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b65c244e-70be-4488-9490-6c2599268e4a · outbound
Automatic reproducing kernel and regularization for learning convolution kernels A weighted-GCV method for Lanczos- hybrid regularization
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9504819a-6b1e-4e5e-be9f-02db4bbba6d1 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels On the mathematical foundations of learning
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7a88e8f8-a9cf-48d3-9f09-d44f3d9d4701 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Learning theory: an approximation theory viewpoint, volume24
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dd89202a-bc40-41a4-a431-3be4cf620989 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels One- shot learning of stochastic differential equations with data adapted kernels.Physica D: Nonlinear Phenomena, 444:133583, 2023
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8953a6b4-8049-4553-b28c-485790846c1a · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Learningdynamicalsystemsfromdata: asimplecross-validationperspective, partii: nonparametric kernel flows.Physica D: Nonlinear Phenomena, 476:134641, 2025
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 00713798-ab2c-47a2-ba9e-3287ee7a4653 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Nu- merical methods for nonlocal and fractional models.Acta Numerica, 29:1–124, 2020
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 44c780fe-e1fb-4ddc-ab94-64cb1f2f8e21 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Analysis and approximation of nonlocal diffusion problems with volume constraints.SIAM review, 54(4):667–696, 2012
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2ceffe3b-b1df-453c-8ae8-40a4e29435c3 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels An introduction to stochastic dynamics, volume 51
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation aa89f2c2-ec08-448a-b5f5-876eef3e2cdc · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Using the l–curve for determining optimal regularization parameters
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9bb6119f-54d4-474b-9b8a-50b67282de0c · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Regularization of inverse problems, volume 375
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cb754077-7e9b-4ae4-bd96-2283de93f9eb · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Learning particle swarming models from data with gaussian processes.Mathematics of Computation, 93(349):2391–2437, 2024
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1b9b5f7f-3d08-413f-8899-6a7b1f6d0b6f · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Nonlocaloperatorswithapplicationstoimageprocessing
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation af4f1bb1-901f-404d-95c9-2d8506c14331 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Generalized cross-validation as a method for choosing a good ridge parameter.Technometrics, 21(2):215–223, 1979
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a579dc65-a552-4104-9884-2a859ab3d2bc · outbound
Automatic reproducing kernel and regularization for learning convolution kernels A distribution-free theory of nonparametric regression
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8afae4a4-d443-4d0c-bf56-45ebdf44ef4f · outbound
Automatic reproducing kernel and regularization for learning convolution kernels SIAM, 2010
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5c36c7a7-b354-4740-b9ae-a575a72c1dc5 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Kernel methods for bayesian elliptic inverse problems on manifolds.SIAM/ASA Journal on Uncertainty Quantification, 8(4):1414–1445, 2020
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 83c7a09e-624c-480b-bd59-0a94e78c807a · outbound
Automatic reproducing kernel and regularization for learning convolution kernels A general peridynamics model for multiphase transport of non-newtonian compressible fluids in porous media.Journal of Computational Physics, 402:109075, 2020
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 62d71727-c7d0-4d69-9827-fe932d476edc · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Choosing regularization parameters in iterative methods for ill-posed problems.SIAM J
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4b67f988-8993-42b7-bd37-377ab7ab5d81 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Neural operator: Learning maps between function spaces with applications to pdes.Journal of Machine Learning Research, 24(89):1–97, 2023
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3cb6eb17-c038-492e-963b-1b185f81ed55 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Identifiability of interaction kernels in mean-field equations of interacting particles
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dd3a1f3c-f7aa-431d-b384-d4d9152cc24d · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Small noise analysis for Tikhonov and RKHS regularizations
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1130a908-fa41-4c6a-b835-435fbf532a84 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels A preconditioned krylov subspace method for linear inverse problems with general-form tikhonov regularization
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 171c3d5c-e586-405e-9d9b-7c236b6a5c48 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Fourier Neural Operator for Parametric Partial Differential Equations
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c49fd56f-01db-4bf0-88d1-25bdfaf5c03e · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Image recovery via nonlocal operators
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6dd14e2d-b9aa-4634-b94e-259efaa4c6e5 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Nonparametric learning of kernels in nonlocal operators.Journal of Peridynamics and Nonlocal Modeling, pages 1–24, 2023
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cc0d5a42-0478-4012-ad5f-ea2505f8f37f · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Data adaptive RKHS Tikhonov regularization for learning kernels in operators.Proceedings of Mathematical and Scientific Machine Learning, PMLR 190:158- 172, 2022
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dedaaea3-683c-4443-85a6-a3b70d61a836 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels An adaptive RKHS regularization for the Fredholm integral equations
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 37cd561e-7dcf-4c52-84f7-f5fc2c176e49 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation edd4c822-68f0-40d1-ab06-177e35f8e7ff · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Kernel flows: From learning kernels from data into the abyss
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7eca4fb1-0b9a-4d96-9cbc-47c4b7997cd1 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels LSQR: An algorithm for sparse linear equations and sparse least squares.ACM Transactions on Mathematical Software (TOMS), 8(1):43–71, 1982
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d2ac9059-e163-4e73-a062-37b99febfcd4 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Peridynamic states and constitutive modeling.Journal of elasticity, 88:151–184, 2007
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 44d58b28-77ae-4420-a43c-3ee01f477649 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Convergence rates of certain approximate solutions to fredholm integral equations of the first kind.Journal of Approximation Theory, 7(2):167–185, 1973
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d34778cf-51b0-43da-b5a1-d6fe460dec9a · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Practical approximate solutions to linear operator equations when the data are noisy
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f145676-f438-4303-8561-e44cdf24acad · outbound
Automatic reproducing kernel and regularization for learning convolution kernels SIAM, 1990
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51705728-2700-4a09-a019-b48ac7595673 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Non-local neural networks
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a775a39-4776-4746-a52e-3cecf39bd6e1 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels A data-driven peridynamic continuum model for upscaling molecular dynamics.Computer Methods in Applied Mechanics and Engineering, 389:114400, 2022
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9368a3d7-1348-4a2a-9995-a4be9688eed3 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Nonlocal operator learning for homog- enized models: From high-fidelity simulations to constitutive laws.Journal of Peridynamics and Nonlocal Modeling, 6(4):709–724, 2024
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 57df9d30-36f0-45f5-ac1a-fcff17a2092a · outbound
Automatic reproducing kernel and regularization for learning convolution kernels A reproducing kernel Hilbert space approach to functional linear regression
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ebc099b4-e93e-4b94-86f3-ba96c35286d6 · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Estimating linear response statistics using orthogonal polynomials: An rkhs formulation.Foundations of Data Science, 2(4):443–485, 2020
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 07bd3e1f-9911-481c-9123-9b767c34739a · outbound
Automatic reproducing kernel and regularization for learning convolution kernels Minimax rates for learning kernels in operators
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.