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Paper Citation Record · LEDGER

Automatic reproducing kernel and regularization for learning convolution kernels

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.

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pith.paper-citation-record.v1
2507.11944 v1

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50 of 50 outbound references displayed

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Outbound references

Observation a6b23299-16e9-4cdb-b761-aa99f28f347d · outbound

This paper cites Neural operator: Graph kernel network for partial differential equations.

Automatic reproducing kernel and regularization for learning convolution kernels Neural operator: Graph kernel network for partial differential equations

Reference 1

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This paper cites Lévy processes and stochastic calculus.

Automatic reproducing kernel and regularization for learning convolution kernels Lévy processes and stochastic calculus

Reference 2

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This paper cites Theory of reproducing kernels.Transactions of the American mathematical society, 68(3):337–404, 1950.

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

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This paper cites Application of a fractional advection-dispersion equation.

Automatic reproducing kernel and regularization for learning convolution kernels Application of a fractional advection-dispersion equation

Reference 4

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Observation 6b90730b-9e43-4a5b-8f04-374a64d8dc93 · outbound

This paper cites Image denoising methods.

Automatic reproducing kernel and regularization for learning convolution kernels Image denoising methods

Reference 5

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Observation be869a2a-8171-4c5c-be63-0464a6e367ac · outbound

This paper cites Aggregation-diffusion equations: dynamics, asymptotics, and singular limits.

Automatic reproducing kernel and regularization for learning convolution kernels Aggregation-diffusion equations: dynamics, asymptotics, and singular limits

Reference 6

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Observation 289e04de-f195-4886-8f1f-341e433285fb · outbound

This paper cites Convergence analysis of LSQR for compact operator equa- tions.

Automatic reproducing kernel and regularization for learning convolution kernels Convergence analysis of LSQR for compact operator equa- tions

Reference 7

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Observation bb690bb1-fd87-479b-807b-8b1fd5a0c942 · outbound

This paper cites A data-adaptive RKHS prior for Bayesian learning of kernels in operators.Journal of Machine Learning Research, 25(317):1–37, 2024.

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

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This paper cites Solving and learning nonlinear PDEs with gaussian processes.Journal of Computational Physics, 447:110668, 2021.

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

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This paper cites Heat kernels for non-symmetric non-local operators.Recent developments in nonlocal theory, pages 24–51, 2018.

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

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Observation b65c244e-70be-4488-9490-6c2599268e4a · outbound

This paper cites A weighted-GCV method for Lanczos- hybrid regularization.

Automatic reproducing kernel and regularization for learning convolution kernels A weighted-GCV method for Lanczos- hybrid regularization

Reference 11

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This paper cites On the mathematical foundations of learning.

Automatic reproducing kernel and regularization for learning convolution kernels On the mathematical foundations of learning

Reference 12

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Observation 7a88e8f8-a9cf-48d3-9f09-d44f3d9d4701 · outbound

This paper cites Learning theory: an approximation theory viewpoint, volume24.

Automatic reproducing kernel and regularization for learning convolution kernels Learning theory: an approximation theory viewpoint, volume24

Reference 13

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This paper cites One- shot learning of stochastic differential equations with data adapted kernels.Physica D: Nonlinear Phenomena, 444:133583, 2023.

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

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Observation 8953a6b4-8049-4553-b28c-485790846c1a · outbound

This paper cites Learningdynamicalsystemsfromdata: asimplecross-validationperspective, partii: nonparametric kernel flows.Physica D: Nonlinear Phenomena, 476:134641, 2025.

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

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Observation 00713798-ab2c-47a2-ba9e-3287ee7a4653 · outbound

This paper cites Nu- merical methods for nonlocal and fractional models.Acta Numerica, 29:1–124, 2020.

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

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Observation 44c780fe-e1fb-4ddc-ab94-64cb1f2f8e21 · outbound

This paper cites Analysis and approximation of nonlocal diffusion problems with volume constraints.SIAM review, 54(4):667–696, 2012.

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

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This paper cites An introduction to stochastic dynamics, volume 51.

Automatic reproducing kernel and regularization for learning convolution kernels An introduction to stochastic dynamics, volume 51

Reference 18

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Observation aa89f2c2-ec08-448a-b5f5-876eef3e2cdc · outbound

This paper cites Using the l–curve for determining optimal regularization parameters.

Automatic reproducing kernel and regularization for learning convolution kernels Using the l–curve for determining optimal regularization parameters

Reference 19

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Observation 9bb6119f-54d4-474b-9b8a-50b67282de0c · outbound

This paper cites Regularization of inverse problems, volume 375.

Automatic reproducing kernel and regularization for learning convolution kernels Regularization of inverse problems, volume 375

Reference 20

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This paper cites Learning particle swarming models from data with gaussian processes.Mathematics of Computation, 93(349):2391–2437, 2024.

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

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Observation 1b9b5f7f-3d08-413f-8899-6a7b1f6d0b6f · outbound

This paper cites Nonlocaloperatorswithapplicationstoimageprocessing.

Automatic reproducing kernel and regularization for learning convolution kernels Nonlocaloperatorswithapplicationstoimageprocessing

Reference 22

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Observation af4f1bb1-901f-404d-95c9-2d8506c14331 · outbound

This paper cites Generalized cross-validation as a method for choosing a good ridge parameter.Technometrics, 21(2):215–223, 1979.

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

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Observation a579dc65-a552-4104-9884-2a859ab3d2bc · outbound

This paper cites A distribution-free theory of nonparametric regression.

Automatic reproducing kernel and regularization for learning convolution kernels A distribution-free theory of nonparametric regression

Reference 24

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Observation 8afae4a4-d443-4d0c-bf56-45ebdf44ef4f · outbound

This paper cites SIAM, 2010.

Automatic reproducing kernel and regularization for learning convolution kernels SIAM, 2010

Reference 25

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Observation 5c36c7a7-b354-4740-b9ae-a575a72c1dc5 · outbound

This paper cites Kernel methods for bayesian elliptic inverse problems on manifolds.SIAM/ASA Journal on Uncertainty Quantification, 8(4):1414–1445, 2020.

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

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This paper cites A general peridynamics model for multiphase transport of non-newtonian compressible fluids in porous media.Journal of Computational Physics, 402:109075, 2020.

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

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Observation 62d71727-c7d0-4d69-9827-fe932d476edc · outbound

This paper cites Choosing regularization parameters in iterative methods for ill-posed problems.SIAM J.

Automatic reproducing kernel and regularization for learning convolution kernels Choosing regularization parameters in iterative methods for ill-posed problems.SIAM J

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Observation 4b67f988-8993-42b7-bd37-377ab7ab5d81 · outbound

This paper cites Neural operator: Learning maps between function spaces with applications to pdes.Journal of Machine Learning Research, 24(89):1–97, 2023.

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

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Observation 3cb6eb17-c038-492e-963b-1b185f81ed55 · outbound

This paper cites Identifiability of interaction kernels in mean-field equations of interacting particles.

Automatic reproducing kernel and regularization for learning convolution kernels Identifiability of interaction kernels in mean-field equations of interacting particles

Reference 30

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Observation dd3a1f3c-f7aa-431d-b384-d4d9152cc24d · outbound

This paper cites Small noise analysis for Tikhonov and RKHS regularizations.

Automatic reproducing kernel and regularization for learning convolution kernels Small noise analysis for Tikhonov and RKHS regularizations

Reference 31

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Observation 1130a908-fa41-4c6a-b835-435fbf532a84 · outbound

This paper cites A preconditioned krylov subspace method for linear inverse problems with general-form tikhonov regularization.

Automatic reproducing kernel and regularization for learning convolution kernels A preconditioned krylov subspace method for linear inverse problems with general-form tikhonov regularization

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 171c3d5c-e586-405e-9d9b-7c236b6a5c48 · outbound

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

Automatic reproducing kernel and regularization for learning convolution kernels Fourier Neural Operator for Parametric Partial Differential Equations

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Observation c49fd56f-01db-4bf0-88d1-25bdfaf5c03e · outbound

This paper cites Image recovery via nonlocal operators.

Automatic reproducing kernel and regularization for learning convolution kernels Image recovery via nonlocal operators

Reference 34

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raw_fallback, observed 2026-08-06T17:12:25.234609Z

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.

source=pdf_text observed=2026-08-06T17:12:22.446010Z digest=sha256:92bfaec2857573f3150c6524f10bc33d717d7abe62e20164e5728192809ee0bf

Observation 6dd14e2d-b9aa-4634-b94e-259efaa4c6e5 · outbound

This paper cites Nonparametric learning of kernels in nonlocal operators.Journal of Peridynamics and Nonlocal Modeling, pages 1–24, 2023.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:25.160553Z

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.

source=pdf_text observed=2026-08-06T17:12:22.523224Z digest=sha256:88d402e6461488e5443d67504a1e74ab6f332ce6ccfcfebecde93ad9244a4049

Observation cc0d5a42-0478-4012-ad5f-ea2505f8f37f · outbound

This paper cites Data adaptive RKHS Tikhonov regularization for learning kernels in operators.Proceedings of Mathematical and Scientific Machine Learning, PMLR 190:158- 172, 2022.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:25.047429Z

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.

source=pdf_text observed=2026-08-06T17:12:22.615309Z digest=sha256:9e85dc507b6edda98c47352f8e43162e3cf3d0b9112cfa8121c87268687d515b

Observation dedaaea3-683c-4443-85a6-a3b70d61a836 · outbound

This paper cites An adaptive RKHS regularization for the Fredholm integral equations.

Automatic reproducing kernel and regularization for learning convolution kernels An adaptive RKHS regularization for the Fredholm integral equations

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:24.923913Z

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.

source=pdf_text observed=2026-08-06T17:12:22.706715Z digest=sha256:e047fb6e98a6a6c7a9f4ffb76f037f49bbbab81d913d109a2d118bd3eb178f6e

Observation 37cd561e-7dcf-4c52-84f7-f5fc2c176e49 · outbound

This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

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

Resolution
unresolved
no resolver link, observed 2026-08-06T17:12:22.784595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:12:22.784595Z digest=sha256:487a2eb19a723447993f57d10cdb1d7f25b50359944726b545c8f1b1a12446b9

Observation edd4c822-68f0-40d1-ab06-177e35f8e7ff · outbound

This paper cites Kernel flows: From learning kernels from data into the abyss.

Automatic reproducing kernel and regularization for learning convolution kernels Kernel flows: From learning kernels from data into the abyss

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:24.759479Z

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.

source=pdf_text observed=2026-08-06T17:12:22.841301Z digest=sha256:4d4ef304a8c73c2caf82ef2713fb0a53c816f67476e051e305956772eaba78b0

Observation 7eca4fb1-0b9a-4d96-9cbc-47c4b7997cd1 · outbound

This paper cites LSQR: An algorithm for sparse linear equations and sparse least squares.ACM Transactions on Mathematical Software (TOMS), 8(1):43–71, 1982.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:24.668037Z

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.

source=pdf_text observed=2026-08-06T17:12:22.909562Z digest=sha256:96467608668bacee8a44faf4fbd0b283575a544b15d338e7a19f32ff1d77e789

Observation d2ac9059-e163-4e73-a062-37b99febfcd4 · outbound

This paper cites Peridynamic states and constitutive modeling.Journal of elasticity, 88:151–184, 2007.

Automatic reproducing kernel and regularization for learning convolution kernels Peridynamic states and constitutive modeling.Journal of elasticity, 88:151–184, 2007

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:24.520145Z

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.

source=pdf_text observed=2026-08-06T17:12:22.974556Z digest=sha256:d588a551f37ee095761711eaa0dd6eac19fe6535444d6a4c91a5cc10b278ffa5

Observation 44d58b28-77ae-4420-a43c-3ee01f477649 · outbound

This paper cites Convergence rates of certain approximate solutions to fredholm integral equations of the first kind.Journal of Approximation Theory, 7(2):167–185, 1973.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:24.393386Z

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.

source=pdf_text observed=2026-08-06T17:12:23.021782Z digest=sha256:1ac4a60d0364393cb529ceeeb51f52c56e0442e2ed2599cf1d776a1b7200cb2e

Observation d34778cf-51b0-43da-b5a1-d6fe460dec9a · outbound

This paper cites Practical approximate solutions to linear operator equations when the data are noisy.

Automatic reproducing kernel and regularization for learning convolution kernels Practical approximate solutions to linear operator equations when the data are noisy

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-06T17:12:23.095480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:12:23.095480Z digest=sha256:41278375295cd2a147e698b12b659cd2d6442ab833b12b154c8c3189b82a7b59

Observation 5f145676-f438-4303-8561-e44cdf24acad · outbound

This paper cites SIAM, 1990.

Automatic reproducing kernel and regularization for learning convolution kernels SIAM, 1990

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-06T17:12:23.185440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:12:23.185440Z digest=sha256:cded66688e55e828a14003be02ae6161646be5c3b8f893386f17fb26537ac840

Observation 51705728-2700-4a09-a019-b48ac7595673 · outbound

This paper cites Non-local neural networks.

Automatic reproducing kernel and regularization for learning convolution kernels Non-local neural networks

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T17:12:23.231901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:12:23.231901Z digest=sha256:01502967a12eedbff92352a3f4ecbb4804fb0c733624ed9643ebb7bc59555d11

Observation 4a775a39-4776-4746-a52e-3cecf39bd6e1 · outbound

This paper cites A data-driven peridynamic continuum model for upscaling molecular dynamics.Computer Methods in Applied Mechanics and Engineering, 389:114400, 2022.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:24.257818Z

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.

source=pdf_text observed=2026-08-06T17:12:23.320360Z digest=sha256:c3dfc5125b08b7af32110939c03fb4a53877f8ffcad2431089351c1c9bdbcb44

Observation 9368a3d7-1348-4a2a-9995-a4be9688eed3 · outbound

This paper cites 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.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:24.093418Z

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.

source=pdf_text observed=2026-08-06T17:12:23.399201Z digest=sha256:795e7fa6c7c31b4e3f3a19095cfab13cb48df635f178afca07cdc5191271f4c0

Observation 57df9d30-36f0-45f5-ac1a-fcff17a2092a · outbound

This paper cites A reproducing kernel Hilbert space approach to functional linear regression.

Automatic reproducing kernel and regularization for learning convolution kernels A reproducing kernel Hilbert space approach to functional linear regression

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:23.924000Z

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.

source=pdf_text observed=2026-08-06T17:12:23.498837Z digest=sha256:17ce0a721eba953317a931318b48f1af67706a0c5b92e2f548821825d5414e0d

Observation ebc099b4-e93e-4b94-86f3-ba96c35286d6 · outbound

This paper cites Estimating linear response statistics using orthogonal polynomials: An rkhs formulation.Foundations of Data Science, 2(4):443–485, 2020.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:23.789880Z

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.

source=pdf_text observed=2026-08-06T17:12:23.561175Z digest=sha256:c287e2c90476f37170d2411da8b882f25637167c0fb2525616d32dbf9e9eaca0

Observation 07bd3e1f-9911-481c-9123-9b767c34739a · outbound

This paper cites Minimax rates for learning kernels in operators.

Automatic reproducing kernel and regularization for learning convolution kernels Minimax rates for learning kernels in operators

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-06T17:12:23.632495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:12:23.632495Z digest=sha256:c2b449105c1b4d56dffed4f09f9aa122ee4ed19aa9474e9a9f97a995e35286d6

Pith citing papers

No inbound Pith citation observations are available.