Paper Citation Record · LEDGER

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations

As of 20 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2606.07912.

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

pith.paper-citation-record.v1
2606.07912 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T19:46:44.753264Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact1
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fe1a4fce-6bf8-40ad-bf6f-bf18ccbc9d02 · outbound

This paper cites The wiener-askey polynomial chaos for stochastic differential equations.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations The wiener-askey polynomial chaos for stochastic differential equations

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a021906-c50d-4ca3-a456-d8f461730070 · outbound

This paper cites Polynomial chaos expansion for parametric problems in engineering systems: A review.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Polynomial chaos expansion for parametric problems in engineering systems: A review

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c88a0091-b960-43bc-ac3c-2fb14c781a75 · outbound

This paper cites Deshpande, and Raktim Bhattacharya.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Deshpande, and Raktim Bhattacharya

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d71881d8-a263-4a96-8500-893e9b62a014 · outbound

This paper cites Hover and Michael S.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Hover and Michael S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19f05d72-db75-435b-89f8-f4ca046ce8b9 · outbound

This paper cites Robust lqr design for systems with probabilistic uncertainty.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Robust lqr design for systems with probabilistic uncertainty

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbef923b-1665-4976-b1ca-5434576f3dd2 · outbound

This paper cites Modeling uncertainty in flow simulations via generalized polynomial chaos.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Modeling uncertainty in flow simulations via generalized polynomial chaos

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2391ed1-34cf-4b15-b9d2-ad112207f2bb · outbound

This paper cites Supersensitivity due to uncertain boundary conditions.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Supersensitivity due to uncertain boundary conditions

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b8a9052-52f6-4556-95db-668804012a66 · outbound

This paper cites Evaluation of non-intrusive approaches for wiener-askey generalized polynomial chaos.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Evaluation of non-intrusive approaches for wiener-askey generalized polynomial chaos

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5847545-836d-41df-a236-da943219ed06 · outbound

This paper cites Comparison of non-intrusive polynomial chaos and stochastic collocation methods for uncertainty quantification.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Comparison of non-intrusive polynomial chaos and stochastic collocation methods for uncertainty quantification

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36e0566d-fb09-4a49-93be-728262251ba5 · outbound

This paper cites Cameron and W.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Cameron and W

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 347fa186-904f-442b-acb7-e6a2725ab7a2 · outbound

This paper cites Semidefinite relaxations for quadratically constrained quadratic programming: A review and comparisons.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Semidefinite relaxations for quadratically constrained quadratic programming: A review and comparisons

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f08c6c7f-0f14-4dda-a784-68ad0b8553fe · outbound

This paper cites On convex relaxations for quadratically constrained quadratic programming.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations On convex relaxations for quadratically constrained quadratic programming

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 455922fc-c768-4ed2-9bc0-1a29fea9db02 · outbound

This paper cites General Heuristics for Nonconvex Quadratically Constrained Quadratic Programming.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations General Heuristics for Nonconvex Quadratically Constrained Quadratic Programming

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-07-02T21:27:24.325181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ebeb472d-f7f2-4b9f-b34e-f336259609b7 · outbound

This paper cites CVXPY: A Python-embedded modeling language for convex optimization.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations CVXPY: A Python-embedded modeling language for convex optimization

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34b57d4a-c778-4bbd-84de-4b2d89e6e767 · outbound

This paper cites A rewriting system for convex optimization problems.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations A rewriting system for convex optimization problems

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75628199-5c01-4f69-8a26-00fd3f6cff1c · outbound

This paper cites Towards stochastic fluid mechanics via polynomial chaos.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Towards stochastic fluid mechanics via polynomial chaos

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ed61b70-20da-41d5-aab5-d136b1adb91d · outbound

This paper cites Eﬀicient sampling for non-intrusive polynomial chaos applications with multiple uncertain input variables.

On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations Eﬀicient sampling for non-intrusive polynomial chaos applications with multiple uncertain input variables

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T19:46:44.753264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.