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Paper Citation Record · LEDGER

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications

As of 8 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2511.00366.

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pith.paper-citation-record.v1
2511.00366 v2

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measured 56 of 56 reference resolution

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56 of 56 outbound references displayed

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Outbound references

Observation a58dfc93-7da8-4e66-bf18-2ef44c857691 · outbound

This paper cites Reengi- neering aircraft structural life prediction using a digital twin.International Journal of Aerospace Engineering, 2011(1):154798, 2011.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Reengi- neering aircraft structural life prediction using a digital twin.International Journal of Aerospace Engineering, 2011(1):154798, 2011

Reference 1

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Observation a19a51ab-7a13-4d7b-b3eb-0a9f123ea75c · outbound

This paper cites The digital twin paradigm for future nasa and us air force vehicles.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications The digital twin paradigm for future nasa and us air force vehicles

Reference 2

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Observation df49120e-97c7-4021-a609-b71b30f1c3db · outbound

This paper cites Grieves.Digital Twins: Past, Present, and Future, pages 97–121.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Grieves.Digital Twins: Past, Present, and Future, pages 97–121

Reference 3

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Observation e35ffdc9-722d-4d9e-ab93-9fcfdcc829e3 · outbound

This paper cites Data-driven physics-based digital twins via a library of component-based reduced-order models.International Journal for Numerical Methods in Engineering, 123(13):2986–3003, 2022.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Data-driven physics-based digital twins via a library of component-based reduced-order models.International Journal for Numerical Methods in Engineering, 123(13):2986–3003, 2022

Reference 4

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Observation 46297ff8-92e4-4aac-ba39-796e7b523f18 · outbound

This paper cites On the effects of modeling as-manufactured geometry: Toward digital twin.International Journal of Aerospace Engineering, 2014(1):439278, 2014.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications On the effects of modeling as-manufactured geometry: Toward digital twin.International Journal of Aerospace Engineering, 2014(1):439278, 2014

Reference 5

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A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Unresolved cited work

Reference 6

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Observation a10e1733-6488-420d-95e4-702bfd2b9e91 · outbound

This paper cites Advisory Circular 25.571-1D: Damage Tolerance and Fatigue Evaluation of Structure.https://www.faa.gov/documentLibrary/media/ Advisory_Circular/AC_25_571-1D_.pdf, 2011.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Advisory Circular 25.571-1D: Damage Tolerance and Fatigue Evaluation of Structure.https://www.faa.gov/documentLibrary/media/ Advisory_Circular/AC_25_571-1D_.pdf, 2011

Reference 7

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Observation a7a596dd-642a-4906-adf8-e950fc0e2cd8 · outbound

This paper cites Airframe digital twin technology adaptability assessment and technology demonstration.Engineering Fracture Mechan- ics, 225:106793, 2020.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Airframe digital twin technology adaptability assessment and technology demonstration.Engineering Fracture Mechan- ics, 225:106793, 2020

Reference 8

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Observation a94ab607-a588-4a50-bb36-06b01431fe2c · outbound

This paper cites Probabilistic methods for risk assess- ment of airframe digital twin structures.Engineering Fracture Mechanics, 221:106674,.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Probabilistic methods for risk assess- ment of airframe digital twin structures.Engineering Fracture Mechanics, 221:106674,

Reference 9

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Observation c2a5a50f-9448-459d-9ad4-096fa708a860 · outbound

This paper cites McDowell.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications McDowell

Reference 10

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Observation 1ce5339a-d2c6-4765-a1f7-7d5bb2df021a · outbound

This paper cites Yeratapally, Patrick E.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Yeratapally, Patrick E

Reference 11

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This paper cites doi: https://doi.org/10.1016/j.engfracmech.2019.106673.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications doi: https://doi.org/10.1016/j.engfracmech.2019.106673

Reference 12

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Observation c010828a-bb47-4fdb-9301-190b127027fc · outbound

This paper cites Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes

Reference 13

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Observation 306919f2-3b77-47fd-bb4d-5e28d1ab6935 · outbound

This paper cites Solving High Frequency and Multi-Scale PDEs with Gaussian Processes.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Solving High Frequency and Multi-Scale PDEs with Gaussian Processes

Reference 14

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Observation 73a6d0d2-d8cb-4517-b542-de60bda47aeb · outbound

This paper cites Exploiting gradients and Hessians in Bayesian optimization and Bayesian quadrature.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Exploiting gradients and Hessians in Bayesian optimization and Bayesian quadrature

Reference 16

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Observation 63fc4eda-0139-483c-8b34-34fea08baed5 · outbound

This paper cites Explicit Estimation of Derivatives from Data and Differential Equations by Gaussian Process Regression.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Explicit Estimation of Derivatives from Data and Differential Equations by Gaussian Process Regression

Reference 17

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Observation afe6527b-6c29-42d4-9316-40d95c22320b · outbound

This paper cites Derivative Observations in Gaussian Process Models of Dynamic Systems.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Derivative Observations in Gaussian Process Models of Dynamic Systems

Reference 18

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Observation 4568f19f-e014-45df-bfbd-bf5759455033 · outbound

This paper cites Scaling Gaussian Processes with Derivative Information Using Variational Inference.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Scaling Gaussian Processes with Derivative Information Using Variational Inference

Reference 19

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Observation 6fb8a659-d210-4752-989e-1c9f86047fc0 · outbound

This paper cites DGP-LVM: Derivative Gaussian process latent variable models.Statistics and Computing, 35(5):120, October.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications DGP-LVM: Derivative Gaussian process latent variable models.Statistics and Computing, 35(5):120, October

Reference 20

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Observation 9266dca5-1f73-422e-8bb9-16ca047bf1bd · outbound

This paper cites Scaling Gaussian Process Regression with Derivatives.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Scaling Gaussian Process Regression with Derivatives

Reference 21

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Observation d268015a-9158-4d2a-8a74-3082a77f57bd · outbound

This paper cites Hoerl and Robert W.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Hoerl and Robert W

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Observation 9197014c-1df2-4882-b9a0-189bd2bcac75 · outbound

This paper cites Critical current of a Josephson junction containing a conical magnet.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Critical current of a Josephson junction containing a conical magnet

Reference 23

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This paper cites When Gaussian Process Meets Big Data: A Review of Scalable GPs.IEEE Transactions on Neural Networks and Learning Systems, 31(11):4405–4423, November 2020.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications When Gaussian Process Meets Big Data: A Review of Scalable GPs.IEEE Transactions on Neural Networks and Learning Systems, 31(11):4405–4423, November 2020

Reference 24

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Observation 7aeab75e-bf98-458f-8144-6dd7a2be3bc5 · outbound

This paper cites Hida-matérn kernel hida-matérn kernel.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Hida-matérn kernel hida-matérn kernel

Reference 25

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Observation 40c04ae3-76fa-460a-bf48-3560aff195bc · outbound

This paper cites Recursive Sampling for the Nystr\"om Method.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Recursive Sampling for the Nystr\"om Method

Reference 26

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This paper cites Epperly, Joel A.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Epperly, Joel A

Reference 27

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A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Unresolved cited work

Reference 28

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This paper cites Heaton, Abhirup Datta, Andrew O.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Heaton, Abhirup Datta, Andrew O

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This paper cites Finley, and Alan E.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Finley, and Alan E

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This paper cites Finley, Nicholas A.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Finley, Nicholas A

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This paper cites Sparse greedy gaussian process regression.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Sparse greedy gaussian process regression

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This paper cites Covariance Tapering for Interpolation of Large Spatial Datasets.Journal of Computational and Graphical Statistics, 15(3):502–523, September 2006.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Covariance Tapering for Interpolation of Large Spatial Datasets.Journal of Computational and Graphical Statistics, 15(3):502–523, September 2006

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This paper cites Random Features for Large-Scale Kernel Machines.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Random Features for Large-Scale Kernel Machines

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This paper cites A unifying view of sparse ap- proximate gaussian process regression.Journal of Machine Learning Research, 6(65): 1939–1959, 2005.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications A unifying view of sparse ap- proximate gaussian process regression.Journal of Machine Learning Research, 6(65): 1939–1959, 2005

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Observation 484f9a9d-e865-4944-8034-f424d7463309 · outbound

This paper cites Stein, Zhiyi Chi, and Leah J.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Stein, Zhiyi Chi, and Leah J

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Observation 06976181-6d32-4d48-be38-fc29f867d673 · outbound

This paper cites Variational sparse inverse Cholesky approximation for latent Gaussian processes via double Kullback-Leibler minimization.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Variational sparse inverse Cholesky approximation for latent Gaussian processes via double Kullback-Leibler minimization

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Observation c42692a7-a9ef-40ce-9c48-a1e8c5efcf8d · outbound

This paper cites Scaled Vecchia approximation for fast computer-model emulation.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Scaled Vecchia approximation for fast computer-model emulation

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Observation e52ee6db-2cea-4b75-ac27-67b26335d4be · outbound

This paper cites Sparse inverse Cholesky factorization of dense kernel matrices by greedy conditional selection.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Sparse inverse Cholesky factorization of dense kernel matrices by greedy conditional selection

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Observation c1336e33-aca4-47c2-98f9-9440e5d10b90 · outbound

This paper cites Permutation and Grouping Methods for Sharpening Gaussian Process Approximations.Technometrics, 60(4):415–429, October 2018.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Permutation and Grouping Methods for Sharpening Gaussian Process Approximations.Technometrics, 60(4):415–429, October 2018

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Observation 660886fd-5606-478f-878d-9de68552e1c3 · outbound

This paper cites an unresolved cited work.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Unresolved cited work

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Observation 6ae3d2d5-a0a7-4a4e-b1b7-8a70764c5d60 · outbound

This paper cites A General Framework for Vec- chia Approximations of Gaussian Processes.Statistical Science, 36(1), Febru- ary 2021.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications A General Framework for Vec- chia Approximations of Gaussian Processes.Statistical Science, 36(1), Febru- ary 2021

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Observation b60b18b3-1c29-4890-9e83-60ba5e16f96a · outbound

This paper cites Sparse Recovery of Elliptic Solvers from Matrix- Vector Products.SIAM Journal on Scientific Computing, 46(2):A998–A1025, April 2024.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Sparse Recovery of Elliptic Solvers from Matrix- Vector Products.SIAM Journal on Scientific Computing, 46(2):A998–A1025, April 2024

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Observation c597929a-24dc-4ae6-b782-9ced8c4a2afb · outbound

This paper cites Sparse Cholesky Factorization by Kullback–Leibler Minimization.SIAM Journal on Scientific Computing, 43(3):A2019– A2046, January 2021.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Sparse Cholesky Factorization by Kullback–Leibler Minimization.SIAM Journal on Scientific Computing, 43(3):A2019– A2046, January 2021

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Observation 2422990e-b674-4208-b2f3-2c7f719da540 · outbound

This paper cites Solving and Learning Nonlinear PDEs with Gaussian Processes.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Solving and Learning Nonlinear PDEs with Gaussian Processes

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Observation d1b90ec7-63f9-434d-8757-7992ac54e471 · outbound

This paper cites Correlation-based sparse inverse Cholesky factorization for fast Gaussian-process inference.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Correlation-based sparse inverse Cholesky factorization for fast Gaussian-process inference

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Observation d9daadf9-b559-4331-ac3a-78fb61504ac4 · outbound

This paper cites Davis and William W.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Davis and William W

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Observation 41d01532-f65a-4ad4-9a8e-4f080356d9da · outbound

This paper cites Leser, James E.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Leser, James E

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Observation cc056af1-c91c-49f9-a3d5-e03b8fc078f4 · outbound

This paper cites Computational fracture mechanics.Encyclopedia of computational mechanics, 2004.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Computational fracture mechanics.Encyclopedia of computational mechanics, 2004

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Observation 4c658907-9d8c-499f-a15b-103f1ab82284 · outbound

This paper cites an unresolved cited work.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Unresolved cited work

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Observation e48bfd2d-ed9c-411e-9ca2-5f3af56a4426 · outbound

This paper cites an unresolved cited work.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Unresolved cited work

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Observation 0a5f3e5c-42ef-42fc-a175-87fa60e2940a · outbound

This paper cites point-wise ordering algorithm 2.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications point-wise ordering algorithm 2

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Observation b7ed2e52-3636-46b9-98d5-ff730219adbb · outbound

This paper cites Kirby, and Jacob Hochhalter.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications Kirby, and Jacob Hochhalter

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Observation 2c95e0a7-f693-485d-a4b2-6180c60a02a3 · outbound

This paper cites point-wise ordering algorithm 2.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications point-wise ordering algorithm 2

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source=pdf_text observed=2026-08-04T00:38:19.391460Z digest=sha256:a22d9e30dab12b2e6b4909a2e063cda804bdfd66e1fa0dbce695b8ce109f73c8

Observation 11eb4e8f-0653-47f8-825f-1c7d5fb4d18a · outbound

This paper cites DGP-LVM: Derivative Gaussian process latent variable models.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications DGP-LVM: Derivative Gaussian process latent variable models

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Observation f77bbd50-6a04-463d-b8c3-72dcfb5d8934 · outbound

This paper cites URLhttp://arxiv.org/abs/1609.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications URLhttp://arxiv.org/abs/1609

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Observation dfb89a30-13ec-41ab-a760-61a6e105d7ce · outbound

This paper cites URLhttps://www.

A Streaming Sparse Cholesky Method for Derivative-Informed Gaussian Process Surrogates Within Digital Twin Applications URLhttps://www

Reference 7944

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