Paper Citation Record · LEDGER

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process

As of 7 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2507.22493.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.22493 v1

Coverage vector

measured 51 of 51 reference resolution

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One-hop event checks from named stored sources.

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

51 of 51 outbound references displayed

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External citation measurements

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Outbound references

Observation 402bf96c-2e5e-42e5-9e8c-91b17b5092fd · outbound

This paper cites an unresolved cited work.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 1

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Observation bc4601e6-f830-4ced-8a67-85063edf0a21 · outbound

This paper cites Willard, X.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Willard, X

Reference 2

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Observation 0670df8f-0cc4-44d5-9eb4-064893d64325 · outbound

This paper cites Machine Learning and Computational Mathematics.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Machine Learning and Computational Mathematics

Reference 3

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Observation c57687a6-756a-4192-9d43-87caf4c13e66 · outbound

This paper cites Raissi, P.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Raissi, P

Reference 4

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Reference 5

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Observation c65ae716-ea86-4a15-a9e8-dfa82d05d672 · outbound

This paper cites Sirignano, K.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Sirignano, K

Reference 6

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Observation a8a32523-7ed8-465d-a7de-e931f4ea82ea · outbound

This paper cites Wang, J.-L.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Wang, J.-L

Reference 7

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Observation c96054b3-a8bf-42d6-a786-516583044230 · outbound

This paper cites Raissi, A.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Raissi, A

Reference 8

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 9

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Observation 869a7d66-7599-4ff9-8b7c-e4eb0a66d66c · outbound

This paper cites Huang, H.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Huang, H

Reference 10

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 11

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 12

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 13

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Observation 2403a5b7-01fd-49f4-9a9d-c374f1262e9c · outbound

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

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Fourier Neural Operator for Parametric Partial Differential Equations

Reference 14

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Observation ec14c185-4ab6-409b-8dce-fda8cd451a9d · outbound

This paper cites Cao, Choose a transformer: Fourier or galerkin, Advances in neural information processing systems 34 (2021) 24924–24940.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Cao, Choose a transformer: Fourier or galerkin, Advances in neural information processing systems 34 (2021) 24924–24940

Reference 15

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Observation acd1999d-04e0-4e60-b3f9-9acdd31c21cb · outbound

This paper cites Kissas, J.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Kissas, J

Reference 16

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Reference 17

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 18

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Observation ab24c30f-bd56-41ea-9de7-be1e1204d13d · outbound

This paper cites Geneva, N.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Geneva, N

Reference 19

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 20

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This paper cites Raissi, P.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Raissi, P

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:54.811889Z

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Observation 85d562fa-a547-462f-9357-304ea9cde454 · outbound

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Kendall, Y

Reference 22

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 23

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Observation 93c88b9a-b1b0-4ce7-aae0-3e99b265e0c7 · outbound

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

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes

Reference 24

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 25

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Observation bacf2bf2-e841-4d1c-9761-3d9e0cfad1f9 · outbound

This paper cites Linka, A.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Linka, A

Reference 26

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Observation 41d1f643-9242-4f71-a182-5b475630e0a7 · outbound

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 27

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Observation 16cd453c-c9b3-40b8-9209-9631e8c0de46 · outbound

This paper cites Lotfi, P.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Lotfi, P

Reference 28

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Source-reported events for the cited work

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Observation 2cf0f56f-5ab2-4442-9d14-a3f1e83eface · outbound

This paper cites Lakshminarayanan, A.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Lakshminarayanan, A

Reference 29

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Observation 946022fc-54ce-413d-8b79-8ca975dae7d5 · outbound

This paper cites Deep Ensembles: A Loss Landscape Perspective.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Deep Ensembles: A Loss Landscape Perspective

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T11:44:48.317845Z

Source-reported events for the cited work

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Malinin, M

Reference 31

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 32

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Observation 75be38fa-5560-4905-b76c-8c813e64c02c · outbound

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Amini, W

Reference 33

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Observation 0c6364e2-88d5-4c77-8c9e-4f754e54939b · outbound

This paper cites DiffHybrid-UQ: Uncertainty Quantification for Differentiable Hybrid Neural Modeling.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process DiffHybrid-UQ: Uncertainty Quantification for Differentiable Hybrid Neural Modeling

Reference 34

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 35

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Observation 4c5025a7-3fc2-456f-b63d-305d97ec4110 · outbound

This paper cites IB-UQ: Information bottleneck based uncertainty quantification for neural function regression and neural operator learning.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process IB-UQ: Information bottleneck based uncertainty quantification for neural function regression and neural operator learning

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 98655691-957b-4c98-8123-a8ecaace0755 · outbound

This paper cites Bergna, S.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Bergna, S

Reference 37

Resolution: verified exact; raw_fallback, observed 2026-08-06T11:44:51.200846Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9070e7d0-f20e-4285-94aa-c1fccdd96c9b · outbound

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 38

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23f1b339-1df5-4800-b807-5f35385c8e9d · outbound

This paper cites NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:44:50.868623Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 703f70a6-8fce-4ca6-8c92-9bd52cb8856f · outbound

This paper cites Raissi, P.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Raissi, P

Reference 40

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 281e007f-ec64-4107-bd53-b6db2958b981 · outbound

This paper cites an unresolved cited work.

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Reference 41

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Observation b2b3c031-7557-42a3-8774-bc6e89bd561d · outbound

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

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Solving High Frequency and Multi-Scale PDEs with Gaussian Processes

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:44:50.693445Z

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Observation 0b56abdb-dbe0-490f-98e5-bc345c00a90b · outbound

This paper cites Zhong, H.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Zhong, H

Reference 43

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Observation 99e87f91-2d03-4595-9f71-15b77c879ae3 · outbound

This paper cites Neural Processes.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Neural Processes

Reference 44

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a870b53-a71a-405f-92a7-f9dd3c7889fd · outbound

This paper cites Cheng, O.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Cheng, O

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:52.855326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fd657376-77b0-437c-8c1f-b0ef6afeefc9 · outbound

This paper cites an unresolved cited work.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:52.641195Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 23b2352d-ea71-43fb-8018-3f73d27e1fd6 · outbound

This paper cites an unresolved cited work.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:52.482246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9935b37b-39a2-4bbf-b507-0ca690517803 · outbound

This paper cites Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-06T11:44:50.152455Z

Source-reported events for the cited work

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Observation 1d3d36b2-8e9a-4ae3-ac6e-ee05739dc2bb · outbound

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Unresolved cited work

Reference 49

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Observation 1a0940ec-32ec-4a72-96d8-6c8e82422356 · outbound

This paper cites Mish: A Self Regularized Non-Monotonic Activation Function.

LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Mish: A Self Regularized Non-Monotonic Activation Function

Reference 50

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Observation f9caac82-595c-4c24-8726-ae9fa7b25f42 · outbound

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LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Nobile, R

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:52.065041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.