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Paper Citation Record · LEDGER

Sparse grids vs. random points for high-dimensional polynomial approximation

As of 17 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2506.24054.

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

pith.paper-citation-record.v1
2506.24054 v1

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

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measured 53 of 53 standing notices

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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

53 of 53 outbound references displayed

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External citation measurements

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Outbound references

Observation 25014864-2fe7-415a-82aa-a3d87df2925a · outbound

This paper cites Anderson, Z.

Sparse grids vs. random points for high-dimensional polynomial approximation Anderson, Z

Reference 1

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Observation 582e565f-e228-4dfb-85c6-9681ed618105 · outbound

This paper cites Bartel, M.

Sparse grids vs. random points for high-dimensional polynomial approximation Bartel, M

Reference 2

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Observation 3a438f9f-6c76-438f-8911-071bf64ab124 · outbound

This paper cites Barthelmann, E.

Sparse grids vs. random points for high-dimensional polynomial approximation Barthelmann, E

Reference 3

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This paper cites Bos, J.P.

Sparse grids vs. random points for high-dimensional polynomial approximation Bos, J.P

Reference 4

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This paper cites Bos, Fekete points as norming sets , Dolomites Research Notes on Approxi- mation, 11(4), 26-–34, 2018, doi: 10.14658/PUPJ-DRNA-2018-4-3.

Sparse grids vs. random points for high-dimensional polynomial approximation Bos, Fekete points as norming sets , Dolomites Research Notes on Approxi- mation, 11(4), 26-–34, 2018, doi: 10.14658/PUPJ-DRNA-2018-4-3

Reference 5

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This paper cites Bos, On optimal designs for a d-cube , Dolomites Research Notes on Ap- proximation, 15(4), 20–34, 2018, doi: 10.14658/PUPJ-DRNA-2022-4-3.

Sparse grids vs. random points for high-dimensional polynomial approximation Bos, On optimal designs for a d-cube , Dolomites Research Notes on Ap- proximation, 15(4), 20–34, 2018, doi: 10.14658/PUPJ-DRNA-2022-4-3

Reference 6

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Sparse grids vs. random points for high-dimensional polynomial approximation Unresolved cited work

Reference 7

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Observation 6f361cf6-9058-4789-aeae-cf6752e2ee93 · outbound

This paper cites Bungartz and M.

Sparse grids vs. random points for high-dimensional polynomial approximation Bungartz and M

Reference 8

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Observation 90eb6fff-110c-4117-bcc0-cb9a8be6880d · outbound

This paper cites Becker, O.

Sparse grids vs. random points for high-dimensional polynomial approximation Becker, O

Reference 9

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This paper cites Calvi and N.

Sparse grids vs. random points for high-dimensional polynomial approximation Calvi and N

Reference 10

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This paper cites Chkifa, A.

Sparse grids vs. random points for high-dimensional polynomial approximation Chkifa, A

Reference 11

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This paper cites Chkifa and M.

Sparse grids vs. random points for high-dimensional polynomial approximation Chkifa and M

Reference 12

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This paper cites Cohen, M.A.

Sparse grids vs. random points for high-dimensional polynomial approximation Cohen, M.A

Reference 13

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Sparse grids vs. random points for high-dimensional polynomial approximation Cohen, G

Reference 14

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This paper cites Coleman and S.

Sparse grids vs. random points for high-dimensional polynomial approximation Coleman and S

Reference 15

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Observation d400a516-6b27-4d74-9862-7d6a8f8f8200 · outbound

This paper cites Dolbeault and A.

Sparse grids vs. random points for high-dimensional polynomial approximation Dolbeault and A

Reference 16

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Sparse grids vs. random points for high-dimensional polynomial approximation Dolbeault, D

Reference 17

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Sparse grids vs. random points for high-dimensional polynomial approximation Dai and A

Reference 18

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Observation c84b04d3-7be2-436a-8cc4-30996bf6c93d · outbound

This paper cites D˜ ung, V.

Sparse grids vs. random points for high-dimensional polynomial approximation D˜ ung, V

Reference 19

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Observation 435bc0eb-82e0-4e67-9719-93c89267d6bf · outbound

This paper cites Ehlich and K.

Sparse grids vs. random points for high-dimensional polynomial approximation Ehlich and K

Reference 20

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Observation e875f42a-f685-4df8-b6d5-adf4a064bf00 · outbound

This paper cites Genz, Testing multidimensional integration routines, Proc.

Sparse grids vs. random points for high-dimensional polynomial approximation Genz, Testing multidimensional integration routines, Proc

Reference 21

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Reference 22

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Observation 190ed6b3-9deb-4202-bdf1-dd9c55295c5a · outbound

This paper cites Kernel interpolation on generalized sparse grids.

Sparse grids vs. random points for high-dimensional polynomial approximation Kernel interpolation on generalized sparse grids

Reference 23

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This paper cites Gr¨ ochenig, Sampling, Marcinkiewicz-Zygmund inequalities, approxima- tion, and quadrature rules , J.

Sparse grids vs. random points for high-dimensional polynomial approximation Gr¨ ochenig, Sampling, Marcinkiewicz-Zygmund inequalities, approxima- tion, and quadrature rules , J

Reference 24

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Sparse grids vs. random points for high-dimensional polynomial approximation Unresolved cited work

Reference 25

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This paper cites Harris, K.J.Millman and S.

Sparse grids vs. random points for high-dimensional polynomial approximation Harris, K.J.Millman and S

Reference 26

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This paper cites Johnson, Why, when, and how biochemists should use least squares , Ana- lytical biochemistry, 206(2), 215-225, 1992, doi: 10.1016/0003-2697(92)90356-c.

Sparse grids vs. random points for high-dimensional polynomial approximation Johnson, Why, when, and how biochemists should use least squares , Ana- lytical biochemistry, 206(2), 215-225, 1992, doi: 10.1016/0003-2697(92)90356-c

Reference 27

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Reference 28

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This paper cites Kashin, S.

Sparse grids vs. random points for high-dimensional polynomial approximation Kashin, S

Reference 29

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This paper cites Kashin, E.

Sparse grids vs. random points for high-dimensional polynomial approximation Kashin, E

Reference 30

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Observation 8a402286-796d-4070-9d3c-33c6befbf0a2 · outbound

This paper cites Kro´ o,On optimal polynomial meshes, J.

Sparse grids vs. random points for high-dimensional polynomial approximation Kro´ o,On optimal polynomial meshes, J

Reference 31

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This paper cites Krieg, K.

Sparse grids vs. random points for high-dimensional polynomial approximation Krieg, K

Reference 32

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This paper cites Krieg, K.

Sparse grids vs. random points for high-dimensional polynomial approximation Krieg, K

Reference 33

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This paper cites Krieg, P.

Sparse grids vs. random points for high-dimensional polynomial approximation Krieg, P

Reference 34

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Observation b5c2a88b-c1c7-46b8-ab5a-570d5d4eae2c · outbound

This paper cites Krieg and M.

Sparse grids vs. random points for high-dimensional polynomial approximation Krieg and M

Reference 35

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Observation e6f79af7-b60d-430a-a71a-e167800ff657 · outbound

This paper cites Krieg and M.

Sparse grids vs. random points for high-dimensional polynomial approximation Krieg and M

Reference 36

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Observation 59842125-a01c-4ab5-99e1-d85f0104e2b7 · outbound

This paper cites Lines and S.

Sparse grids vs. random points for high-dimensional polynomial approximation Lines and S

Reference 37

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a73ea38e-189b-43d0-b4f3-e93327172af9 · outbound

This paper cites Migliorati, F.

Sparse grids vs. random points for high-dimensional polynomial approximation Migliorati, F

Reference 38

Resolution
verified exact
doi, observed 2026-08-06T21:32:19.932438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:32:17.487356Z digest=sha256:6b1b69ec1cf20b4b1e185b9789f018e40589e90b9ab970825a70a4184fa8d46f

Observation 98a4ef90-06a7-4ed3-82a1-22868c7fd841 · outbound

This paper cites A Christoffel function weighted least squares algorithm for collocation approximations.

Sparse grids vs. random points for high-dimensional polynomial approximation A Christoffel function weighted least squares algorithm for collocation approximations

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:32:23.228849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:32:17.626861Z digest=sha256:1f2a502c80c8cbe61ee2e6005a86987197319a585f0d2ffe386957fc2d8c7608

Observation e06c4d53-7156-45c9-8294-149af9d1de72 · outbound

This paper cites Novak and K.

Sparse grids vs. random points for high-dimensional polynomial approximation Novak and K

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-06T21:32:17.762149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:32:17.762149Z digest=sha256:e11067c6d64e56a39eba2c098f164b869a105f315c17df5c72833b913b7067bc

Observation 8382b0b7-0e11-4bc0-a1c4-749c0ebef1d0 · outbound

This paper cites Novak and K.

Sparse grids vs. random points for high-dimensional polynomial approximation Novak and K

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T21:32:17.869858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:32:17.869858Z digest=sha256:6f7a3c5136c2e2113e68f25f9b271260d064566b35a0aeca2b0d771e49a58556

Observation 4b021624-a027-4819-acd7-e2ffe59e6337 · outbound

This paper cites Narayan and Y.

Sparse grids vs. random points for high-dimensional polynomial approximation Narayan and Y

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-06T21:32:17.968675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:32:17.968675Z digest=sha256:df17cbc4b6d829de51c5f24d7d271a6ddfa20bb3de08953648d228acf52bca31

Observation cb195b3d-9c6c-4a4c-baf1-5f983f1abbcc · outbound

This paper cites Reichel On polynomial approximation in the uniform norm by the discrete least squares method , BIT, 26(3), 349–368, 1986, doi: 10.1007/BF01933715.

Sparse grids vs. random points for high-dimensional polynomial approximation Reichel On polynomial approximation in the uniform norm by the discrete least squares method , BIT, 26(3), 349–368, 1986, doi: 10.1007/BF01933715

Reference 43

Resolution
verified exact
doi, observed 2026-08-06T21:32:19.750617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:32:18.049226Z digest=sha256:e54bf38f1822232a20bbb2c4a0543ef9b9de57f449c6ea99b6a44f24d6048e8a

Observation ab0bd6cb-9307-4b7b-b0d5-dbc34bc45898 · outbound

This paper cites Smolyak, Quadrature and interpolation formulas for tensor products of certain classes of functions , Dokl.

Sparse grids vs. random points for high-dimensional polynomial approximation Smolyak, Quadrature and interpolation formulas for tensor products of certain classes of functions , Dokl

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:32:23.936044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:32:18.124454Z digest=sha256:2321411152689a7badd05b2c7b3a12663abe6eb1b3ed0243361314c7e2b8042e

Observation 9da39065-d5a3-4dcf-aeb7-02f52e61e3ca · outbound

This paper cites Sonnleitner, M.

Sparse grids vs. random points for high-dimensional polynomial approximation Sonnleitner, M

Reference 45

Resolution
verified exact
doi, observed 2026-08-06T21:32:19.542153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:32:18.202893Z digest=sha256:b63e7a9a5ea1140bf9e999c067a62610a7b91b7fff5dc20b0dbd2f043e79d0e5

Observation 5a5e59b8-c48d-4262-834a-44a2d044f623 · outbound

This paper cites Stoyanov, User manual: TASMANIAN sparse grids , ORNL/TM- 2015/596, 2015.

Sparse grids vs. random points for high-dimensional polynomial approximation Stoyanov, User manual: TASMANIAN sparse grids , ORNL/TM- 2015/596, 2015

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:32:23.919287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:32:18.292454Z digest=sha256:d75d447299d21d8570658a3aedf5cb9e917c1d824152e10e84441b9679fa25c7

Observation 4d5405f4-c0db-4c22-859b-e8f23be3cd6d · outbound

This paper cites Stoyanov, D.

Sparse grids vs. random points for high-dimensional polynomial approximation Stoyanov, D

Reference 47

Resolution
verified exact
doi, observed 2026-08-06T21:32:19.350057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:32:18.383851Z digest=sha256:ad1c8915360c08e89c7cf4ecfc1e34c6fc2f223bc68e2fc49eef47aafe58f922

Observation 4d9f34ce-aeb3-409e-a508-a728248eadfd · outbound

This paper cites Surjanovic and D.

Sparse grids vs. random points for high-dimensional polynomial approximation Surjanovic and D

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:32:23.902315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:32:18.452456Z digest=sha256:7b96dd84b86fcae90fcbf6df06520f1de9eb83079e016a5b1117f32b3ca65920

Observation 600a6334-b585-4141-bcfe-98959baadba2 · outbound

This paper cites an unresolved cited work.

Sparse grids vs. random points for high-dimensional polynomial approximation Unresolved cited work

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-06T21:32:18.558785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:32:18.558785Z digest=sha256:ec06da727c66d3731835ee6ba0db517157dad4421875e767adaaf49e2f68bc99

Observation 55ca56da-9e4e-42cc-9eb7-3b103357ce20 · outbound

This paper cites Temlyakov, Approximation of periodic functions of several variables by trigonometric polynomials, and widths of some classes of functions , Math.

Sparse grids vs. random points for high-dimensional polynomial approximation Temlyakov, Approximation of periodic functions of several variables by trigonometric polynomials, and widths of some classes of functions , Math

Reference 50

Resolution
verified exact
doi, observed 2026-08-06T21:32:19.177002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:32:18.629233Z digest=sha256:3af9ecc02b6dd542e6d253736f9c7b26538a672e830f87cac758445b3ed916f7

Observation 7f04541a-8b98-4725-b19b-2dcdb922b93e · outbound

This paper cites Ullrich, On the worst-case error of least squares algorithms for L2- approximation with high probability , J.

Sparse grids vs. random points for high-dimensional polynomial approximation Ullrich, On the worst-case error of least squares algorithms for L2- approximation with high probability , J

Reference 51

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T21:32:23.031250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T21:32:18.742707Z digest=sha256:96582601640a87510233e2c01d91dd90e33e370a5d67a0ece4edd64d09fea3ce

Observation 21594010-7237-4172-9851-6cc50b48ff88 · outbound

This paper cites Virtanen, R.

Sparse grids vs. random points for high-dimensional polynomial approximation Virtanen, R

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-06T21:32:18.819626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:32:18.819626Z digest=sha256:913c8239089ddf06b3ad44763a86527816934a4353caa42ff012d982d6f359eb

Observation 3cdf8f70-9f48-4394-ad43-5ab4b576fd03 · outbound

This paper cites Wasilkowski and H.

Sparse grids vs. random points for high-dimensional polynomial approximation Wasilkowski and H

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-06T21:32:18.917792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:32:18.917792Z digest=sha256:9f60417ebd55b882a3eb0ef5597d1e998154b1560bf25d026aa8bd113f4109a0

Pith citing papers

No inbound Pith citation observations are available.