Paper Citation Record · LEDGER

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model

As of 9 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2607.04790.

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

pith.paper-citation-record.v1
2607.04790 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T13:28:44.453372Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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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

27 of 27 outbound references displayed

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External citation measurements

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Outbound references

Observation c3c5f199-a6d1-4b50-8407-28bcd2528c11 · outbound

This paper cites Aleatory or epistemic? does it matter?Structural safety, 31(2):105–112, 2009.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Aleatory or epistemic? does it matter?Structural safety, 31(2):105–112, 2009

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation be962e0f-d615-490d-9f05-ff61e05efe87 · outbound

This paper cites an unresolved cited work.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation b7912db6-69b2-4e02-9896-0743833bfa29 · outbound

This paper cites Uncertainty-based information.NATO SCIENCE SERIES SUB SERIES III COMPUTER AND SYSTEMS SCIENCES, 184:21–52, 2003.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Uncertainty-based information.NATO SCIENCE SERIES SUB SERIES III COMPUTER AND SYSTEMS SCIENCES, 184:21–52, 2003

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation e2a99f76-08a9-49d4-a758-c70ad7d5cf30 · outbound

This paper cites Number 4015.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Number 4015

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 82ae67ea-ab36-4719-b569-88f36184d505 · outbound

This paper cites Hybrid uncertainty propagation based on multi-fidelity surrogate model.Computers & Structures, 293:107267, 2024.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Hybrid uncertainty propagation based on multi-fidelity surrogate model.Computers & Structures, 293:107267, 2024

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 0c4f683b-38f4-4722-965a-b5f7893e991e · outbound

This paper cites Sensitivity estimates for nonlinear mathematical models.Math.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Sensitivity estimates for nonlinear mathematical models.Math

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 8b50c760-4684-4532-be35-08ee02a5b0b6 · outbound

This paper cites The probability integral transform and related results.SIAM review, 36(4):652–654, 1994.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model The probability integral transform and related results.SIAM review, 36(4):652–654, 1994

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 528d2259-46e5-49ae-948d-33a7ca472ebd · outbound

This paper cites Efficient global sensitivity analysis framework and approach for structures with hybrid uncertainties.Computer Methods in Applied Mechanics and Engineering, 436:117726, 2025.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Efficient global sensitivity analysis framework and approach for structures with hybrid uncertainties.Computer Methods in Applied Mechanics and Engineering, 436:117726, 2025

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 5d0588a2-7f70-4d22-82bd-eafa72817b11 · outbound

This paper cites an unresolved cited work.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation b419a9bd-ea3b-4ca2-9a87-1f7d82490ae8 · outbound

This paper cites Courier Corporation, 2003.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Courier Corporation, 2003

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 6927b11e-0629-48a3-acdc-1f0e7ac4ea68 · outbound

This paper cites Extending polynomial chaos to include interval analysis.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Extending polynomial chaos to include interval analysis

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation bcba339e-d5bb-4b31-9499-0a80803d7d50 · outbound

This paper cites an unresolved cited work.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation c4133b8d-5ea6-423e-9979-b5058e72a847 · outbound

This paper cites A novel dimension fusion based polynomial chaos approach for mixed aleatory-epistemic uncertainty quantification of carbon nanotube interconnects.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model A novel dimension fusion based polynomial chaos approach for mixed aleatory-epistemic uncertainty quantification of carbon nanotube interconnects

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 2bdc00fd-71d9-4b45-9527-9959b29277e5 · outbound

This paper cites The wiener–askey polynomial chaos for stochastic differential equations.SIAM journal on scientific computing, 24(2):619–644, 2002.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model The wiener–askey polynomial chaos for stochastic differential equations.SIAM journal on scientific computing, 24(2):619–644, 2002

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 69d7a8e1-2b9c-4a42-8dd1-c67ec69c3099 · outbound

This paper cites Separating the contributions of variability and parameter uncertainty in probability distributions.Reliability Engineering & System Safety, 112:187–199, 2013.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Separating the contributions of variability and parameter uncertainty in probability distributions.Reliability Engineering & System Safety, 112:187–199, 2013

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 45031813-0979-4f6c-9c22-cab2d1e91d95 · outbound

This paper cites Signal recovery from partial information via orthogonal matching pursuit.IEEE Trans.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Signal recovery from partial information via orthogonal matching pursuit.IEEE Trans

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 515926bc-7a46-472b-8dc8-df92ff6ee420 · outbound

This paper cites Adaptive sparse polynomial chaos expansion based on least angle regression.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Adaptive sparse polynomial chaos expansion based on least angle regression

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 67d9d355-13a9-4dc5-9f35-23aa59a52625 · outbound

This paper cites Bayesian sparse polynomial chaos expansion for global sensitivity analysis.Computer Methods in Applied Mechanics and Engineering, 318:474–496, 2017.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Bayesian sparse polynomial chaos expansion for global sensitivity analysis.Computer Methods in Applied Mechanics and Engineering, 318:474–496, 2017

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 4810d0d0-acbd-4852-a8e4-f9797d143c21 · outbound

This paper cites Bayesian adaptive polynomial chaos expansions.Stat, 15(1):e70151, 2026.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Bayesian adaptive polynomial chaos expansions.Stat, 15(1):e70151, 2026

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 6ed24288-0991-468a-9294-324c8170621e · outbound

This paper cites Statistical reasoning with imprecise probabilities.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Statistical reasoning with imprecise probabilities

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 33b54b11-9a9a-4725-8944-ba02bf4f5619 · outbound

This paper cites Global sensitivity analysis using polynomial chaos expansions.Reliability engineering & system safety, 93(7):964–979, 2008.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Global sensitivity analysis using polynomial chaos expansions.Reliability engineering & system safety, 93(7):964–979, 2008

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 9a0e14b7-d010-4b96-8c65-d4f1055d7c6b · outbound

This paper cites Princeton university press, 2010.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Princeton university press, 2010

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation cdef2e41-a021-49cf-b05a-c2539ba419ba · outbound

This paper cites Bass: An r package for fitting and performing sensitivity analysis of bayesian adaptive spline surfaces.Journal of Statistical Software, 94:1–36, 2020.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Bass: An r package for fitting and performing sensitivity analysis of bayesian adaptive spline surfaces.Journal of Statistical Software, 94:1–36, 2020

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 01fc3c4a-1485-4806-a0e9-a7a9eece76a5 · outbound

This paper cites A two-component g-prior for variable selection.Bayesian Analysis, 11(2):353, 2015.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model A two-component g-prior for variable selection.Bayesian Analysis, 11(2):353, 2015

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 4d425c83-0411-4ef8-8695-dd338c9273f3 · outbound

This paper cites On assessing prior distributions and bayesian regression analysis with g-prior distributions.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model On assessing prior distributions and bayesian regression analysis with g-prior distributions

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation a13befd8-0b1e-43cb-81f5-582cd7fa5bb0 · outbound

This paper cites Springer, 2009.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Springer, 2009

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Observation 1b98ff0b-72af-406e-95fa-0cd3069e4e05 · outbound

This paper cites Delayed rejection in reversible jump metropolis–hastings.Biometrika, 88(4):1035–1053, 2001.

Analytical Extraction of Conditional Aleatory Sensitivities Across Epistemic Space via a Single PCE Model Delayed rejection in reversible jump metropolis–hastings.Biometrika, 88(4):1035–1053, 2001

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-11T13:28:44.453372Z

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Pith citing papers

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