Pith. sign in

Paper Citation Record · LEDGER

Sparse Polynomial Matrix Optimization

As of 13 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 2 inbound Pith citation observations for arXiv:2411.15479.

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

pith.paper-citation-record.v1
2411.15479 v3

Coverage vector

measured 61 of 61 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:28:04.228320Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T15:34:21.141655Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T11:29:39.850153Z

Reference resolution

61 of 61 outbound references displayed

  • verified exact4
  • verified fuzzy55
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 871c98d9-d996-42b0-bb72-0c9d59cc1a3a · outbound

This paper cites AboutSections Polynomial Matrix Inequality and Semidefinite Representation,.

Sparse Polynomial Matrix Optimization AboutSections Polynomial Matrix Inequality and Semidefinite Representation,

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 9d2a1f9c-eb13-4341-a4a3-1f2da0e57b8b · outbound

This paper cites Linear matrix inequality representation of sets,.

Sparse Polynomial Matrix Optimization Linear matrix inequality representation of sets,

Reference 2

Resolution
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raw_fallback, observed 2026-08-12T14:28:05.094787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 7bcd34dc-c43a-447f-b8ad-cb0269b6e9ab · outbound

This paper cites Inner Approximations for Polynomial Matrix Inequalities and Robust Stability Regions,.

Sparse Polynomial Matrix Optimization Inner Approximations for Polynomial Matrix Inequalities and Robust Stability Regions,

Reference 3

Resolution
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raw_fallback, observed 2026-08-12T14:28:05.083398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 59c271f9-728b-4b8a-8f88-ee46441a7475 · outbound

This paper cites Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy,.

Sparse Polynomial Matrix Optimization Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy,

Reference 4

Resolution
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raw_fallback, observed 2026-08-12T14:28:05.072180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 5e3c81f7-12c8-4435-a417-92edf464f163 · outbound

This paper cites Frequency-domain identification of discrete-time systems using sum-of-rational optimization,.

Sparse Polynomial Matrix Optimization Frequency-domain identification of discrete-time systems using sum-of-rational optimization,

Reference 5

Resolution
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raw_fallback, observed 2026-08-12T14:28:05.060302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.002661Z digest=sha256:a49c8cce4478f1499797d2aca814783144a3f9ddd4ab18fce0ebe860d5310779

Observation 3c1698ae-c3ca-45e8-8439-ccfd6ad5cc4d · outbound

This paper cites Analysis of input-affine dynamical systems using parameterized robust coun- terparts,.

Sparse Polynomial Matrix Optimization Analysis of input-affine dynamical systems using parameterized robust coun- terparts,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:05.044198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 2cd443cb-69ab-4d76-a7db-3ae6eb354aaf · outbound

This paper cites LMI techniques for optimization over polynomials in control: a survey,.

Sparse Polynomial Matrix Optimization LMI techniques for optimization over polynomials in control: a survey,

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.011205Z digest=sha256:09f156b3fec1fa5f44194d0626255400e8ffc734135cacdde033649e2c3367fa

Observation dbc46ba5-394e-44ee-9e11-5802141be77a · outbound

This paper cites Some NP-complete problems in quadratic and nonlinear programming,.

Sparse Polynomial Matrix Optimization Some NP-complete problems in quadratic and nonlinear programming,

Reference 8

Resolution
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raw_fallback, observed 2026-08-12T14:28:05.020674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.014767Z digest=sha256:3fc999744aa26a70577efbc436809ac9d4dccd4e5ae36676f9c9567aec35a6d9

Observation 04c5a80b-0979-45f5-8c6b-a928213463df · outbound

This paper cites dReal: An SMT solver for nonlinear theories over the reals,.

Sparse Polynomial Matrix Optimization dReal: An SMT solver for nonlinear theories over the reals,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:05.009624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.018426Z digest=sha256:c5a58ec468993ec7764dd53e4646ccd536a66f8651290b8c362b5fa1874f68a6

Observation b85e0074-17f6-4d65-8c98-e9f81176f9b3 · outbound

This paper cites Blekherman, P.

Sparse Polynomial Matrix Optimization Blekherman, P

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.022255Z digest=sha256:ddf4fc7f10cf57a3f7b95e472e3599da892f9ed7fda68589772f2df01be4a0f4

Observation 66133412-3ee4-45e0-81af-6cf0e8db3abc · outbound

This paper cites There are Significantly More Nonnegative Polynomials than Sums of Squares,.

Sparse Polynomial Matrix Optimization There are Significantly More Nonnegative Polynomials than Sums of Squares,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.986582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.025598Z digest=sha256:f34621ea67b77429ecd35f4778a5c0ffa69bb673d39abe52058198b1f4b326f2

Observation 14ee9632-9926-4c17-ba4c-ee89eeaad0dc · outbound

This paper cites Positive Polynomials on Compact Semi-algebraic Sets,.

Sparse Polynomial Matrix Optimization Positive Polynomials on Compact Semi-algebraic Sets,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.975487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.029792Z digest=sha256:2704e62caf6581771b54ee922612e5888d89501ab2df6bcea638ed7f5164de95

Observation 5e295d19-52b9-4cea-9155-95991113819c · outbound

This paper cites On the Effective Putinar’s Positivstellensatz and Moment Approximation,.

Sparse Polynomial Matrix Optimization On the Effective Putinar’s Positivstellensatz and Moment Approximation,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.964292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.033723Z digest=sha256:7639a99a2307ca9db0e9dcce89f6068b497b8a70cc5a489e5b902f5a6fac88d7

Observation 4ec098f4-c89b-486f-ace4-e85f5ab38c5d · outbound

This paper cites Sum of squares relaxations for robust polynomial semi-definite programs,.

Sparse Polynomial Matrix Optimization Sum of squares relaxations for robust polynomial semi-definite programs,

Reference 14

Resolution
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raw_fallback, observed 2026-08-12T14:28:04.953201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation adc80600-f5fc-4b71-b79f-bd5ea099d895 · outbound

This paper cites Exploiting Sparsity in Complex Polynomial Optimization,.

Sparse Polynomial Matrix Optimization Exploiting Sparsity in Complex Polynomial Optimization,

Reference 15

Resolution
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raw_fallback, observed 2026-08-12T14:28:04.941228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation acc8cbf0-dd89-4bb3-b764-5894e6deb873 · outbound

This paper cites “Positive.

Sparse Polynomial Matrix Optimization “Positive

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.930885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.046239Z digest=sha256:63eb5d437e3d80ec6b305f366c5150fd65d5d6b65de935d395e980ac812244ad

Observation a3bdc7a4-6af3-4fb4-b63c-d8a04199e1db · outbound

This paper cites Constrained Polynomial Optimization Problems with Noncommuting Variables,.

Sparse Polynomial Matrix Optimization Constrained Polynomial Optimization Problems with Noncommuting Variables,

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.050259Z digest=sha256:176656ff8d09c87f9dc62e8f0947f99c5554eef3cb230ea0a54fa7188475b481

Observation ad0e0cd6-fc30-4b24-9748-310e1acb1dea · outbound

This paper cites Symmetry in Tur´ an sums of squares polynomials from flag algebras,.

Sparse Polynomial Matrix Optimization Symmetry in Tur´ an sums of squares polynomials from flag algebras,

Reference 18

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raw_fallback, observed 2026-08-12T14:28:04.910133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.054389Z digest=sha256:b1414e1cd3a0f2adab21ba5d22eeab212d7d69216aa3eed8df1230a2f09d89fe

Observation c22f58a9-1107-4ba1-9a3f-a8f3df885ded · outbound

This paper cites an unresolved cited work.

Sparse Polynomial Matrix Optimization Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:28:04.900215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.058645Z digest=sha256:6c2bd349e9880d96c0a7f285ab3f4092761849ba230951d6106117ec96d95ecb

Observation e692a4fe-a380-4a3e-b6b8-3a70e2aa0fa9 · outbound

This paper cites Harmonic hierarchies for polynomial optimization,.

Sparse Polynomial Matrix Optimization Harmonic hierarchies for polynomial optimization,

Reference 20

Resolution
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raw_fallback, observed 2026-08-12T14:28:04.889794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.062486Z digest=sha256:02a0e676195256c97f1a7f67180970a40e0e3e8703e84f8820b630b1cfa81b77

Observation 195f0861-2614-4224-882c-ebed78ee4178 · outbound

This paper cites Magron and J.

Sparse Polynomial Matrix Optimization Magron and J

Reference 21

Resolution
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raw_fallback, observed 2026-08-12T14:28:04.877414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.066537Z digest=sha256:d4cdc60ee103c9ef8848876ebc3c23221c93e6eb92c175a5a960e2a991295ba9

Observation f3da2b5e-8caf-4c78-aa33-428c407c5aae · outbound

This paper cites Chordal and factor-width decompositions for scal- able semidefinite and polynomial optimization,.

Sparse Polynomial Matrix Optimization Chordal and factor-width decompositions for scal- able semidefinite and polynomial optimization,

Reference 22

Resolution
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raw_fallback, observed 2026-08-12T14:28:04.866394Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.070399Z digest=sha256:ca2505b86d759f9f7bb70b835b916627d62bf11f0363ac1db63d72feaaa36cc0

Observation 4cb52c80-248f-4daa-8b68-d60b4ed8358d · outbound

This paper cites Sums of Squares and Semidefinite Program Re- laxations for Polynomial Optimization Problems with Structured Sparsity,.

Sparse Polynomial Matrix Optimization Sums of Squares and Semidefinite Program Re- laxations for Polynomial Optimization Problems with Structured Sparsity,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.855331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.074968Z digest=sha256:c46120466c44ba8f9f3531b64df760e95e81611b6f464cb6ef165238e5375b8b

Observation eaf6cdfa-3c0e-45ec-9426-17a6cdab0044 · outbound

This paper cites TSSOS: A moment-SOS hierarchy that exploits term sparsity,.

Sparse Polynomial Matrix Optimization TSSOS: A moment-SOS hierarchy that exploits term sparsity,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.844641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.079089Z digest=sha256:239d5dda10d4033604face45b0bacddca6e47921e8350e31cc88102d636d19cf

Observation 331a765e-8d3d-4d85-a601-dfee045f2bcd · outbound

This paper cites Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension,.

Sparse Polynomial Matrix Optimization Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.833969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.082543Z digest=sha256:4580454aa28406556c13b4b180011f078ef030143b57b5e735fffcd123443d5c

Observation 46942a52-c115-48c1-a3a1-91801d621abe · outbound

This paper cites Exploiting term sparsity in noncommutative polynomial optimization,.

Sparse Polynomial Matrix Optimization Exploiting term sparsity in noncommutative polynomial optimization,

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.823407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.085818Z digest=sha256:5758e72d768d8240a1168d4e6d4133a9732f83d387a84362b30e255c7a25463c

Observation eebd0d92-e215-443d-a47c-11680a211619 · outbound

This paper cites Extremal PSD forms with few terms,.

Sparse Polynomial Matrix Optimization Extremal PSD forms with few terms,

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.812755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.089151Z digest=sha256:705a0d5bd38e42cae9d7877c2ecfbc7c8d2c89f959678fb823c5219463d7038c

Observation 07638557-e36b-435e-a545-6422af05a357 · outbound

This paper cites Symmetry groups, semidefinite programs, and sums of squares,.

Sparse Polynomial Matrix Optimization Symmetry groups, semidefinite programs, and sums of squares,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.802074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.092925Z digest=sha256:ca9671fb51e3ab78a2fe12d8a5a0681bb8340ccf8b00b1559d391e6cf8fee261

Observation e4ce363b-9b82-44c9-aa87-dfa86c735e65 · outbound

This paper cites Pre-and post-processing sum-of-squares programs in practice,.

Sparse Polynomial Matrix Optimization Pre-and post-processing sum-of-squares programs in practice,

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.790527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.096575Z digest=sha256:88ac485ed1abc10215443a83c12a5be7cdb7d407dd8c1dcedfbd555d23daf79f

Observation ed3f8723-da72-471a-8268-d259ad775bbd · outbound

This paper cites Exploiting algebraic structure in sum of squares programs,.

Sparse Polynomial Matrix Optimization Exploiting algebraic structure in sum of squares programs,

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.779657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.100841Z digest=sha256:67f16e91038fa1b06d0ad167da0cc8782e4e1c6666ea2ace34b69590ab31dc96

Observation f7522583-cba0-4f8b-b33d-75e90e332c59 · outbound

This paper cites CS-TSSOS: Correlative and term sparsity for large-scale polynomial optimization,.

Sparse Polynomial Matrix Optimization CS-TSSOS: Correlative and term sparsity for large-scale polynomial optimization,

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.768305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.105012Z digest=sha256:f3993a600fb6f07c1e8e117fdda1858f93c708bafd75786b5b8b1af943829cf2

Observation 467efbb4-2e26-4f1f-bb02-d451a30edb27 · outbound

This paper cites Exploiting Sign Symmetries in Minimizing Sums of Rational Functions.

Sparse Polynomial Matrix Optimization Exploiting Sign Symmetries in Minimizing Sums of Rational Functions

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:28:04.467807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.109342Z digest=sha256:eec539db58f576ecba5d1b387a8de41a8ec137bec4210197d63f78e51166a3cb

Observation ad31d444-8489-47b2-9342-f3b930ac6722 · outbound

This paper cites Amoebas, nonnegative polynomials and sums of squares supported on circuits,.

Sparse Polynomial Matrix Optimization Amoebas, nonnegative polynomials and sums of squares supported on circuits,

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.756960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.114039Z digest=sha256:efac2143c288d85db75f95f3f0b95b30614f674f4280b7320a65452d28ff8846

Observation cc2661a9-b0ff-4c7e-8a00-c112cf317395 · outbound

This paper cites Relative entropy relaxations for signomial optimization,.

Sparse Polynomial Matrix Optimization Relative entropy relaxations for signomial optimization,

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.745578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.117935Z digest=sha256:1e5ca766b1997536423a5c552f279f89c06cec7a00c0b6de88d56d6b5668f4d6

Observation 5eb0e78f-fcb5-4886-b319-5a179ada9de4 · outbound

This paper cites A second order cone characterization for sums of nonnegative circuits,.

Sparse Polynomial Matrix Optimization A second order cone characterization for sums of nonnegative circuits,

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.733932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.122079Z digest=sha256:82d74a1245f6a739cbe31cf2e9657c41f57b96f87830212e17af239aded0fb63

Observation 2f717ecc-6016-459a-ab85-6613fe12362a · outbound

This paper cites Sonc optimization and exact nonnegativity certificates via second-order cone programming,.

Sparse Polynomial Matrix Optimization Sonc optimization and exact nonnegativity certificates via second-order cone programming,

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.722800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.126278Z digest=sha256:75873590347be3bcbfcc8df964661b2d0d505cfc2d281a6e587160df04651a8d

Observation 7bd03e60-ce43-42ea-a72c-0090e0bd8c48 · outbound

This paper cites Kojima,Sums of squares relaxations of polynomial semidefinite programs.

Sparse Polynomial Matrix Optimization Kojima,Sums of squares relaxations of polynomial semidefinite programs

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.711688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.130368Z digest=sha256:2ba7884d6adb860e4d7e5bad4e075ccba3ede737541e12a0dcf0aafa329564d3

Observation f40e4ade-17b3-4840-a7e1-b0a341516980 · outbound

This paper cites Convergent relaxations of polynomial matrix inequalities and static output feedback,.

Sparse Polynomial Matrix Optimization Convergent relaxations of polynomial matrix inequalities and static output feedback,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.700639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.134551Z digest=sha256:c531082951d12e1e411ba32ca21512006489103a935768fdbbed79b62a887c7c

Observation e3a70f93-1e1b-4ed6-aeef-a5d3a65411bf · outbound

This paper cites Convergence rates of S.O.S. hierarchies for polynomial semidefinite pro- grams,.

Sparse Polynomial Matrix Optimization Convergence rates of S.O.S. hierarchies for polynomial semidefinite pro- grams,

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-12T14:28:04.138674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:28:04.138674Z digest=sha256:58d0825648bbac4376252875a08fd85a8d1abee449c5dfa1cec2ad1f53573024

Observation 6b3d9e47-5d15-47d6-87f1-c2a02f2ef946 · outbound

This paper cites Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization.

Sparse Polynomial Matrix Optimization Finite convergence of the Moment-SOS hierarchy for polynomial matrix optimization

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:28:04.380846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.143097Z digest=sha256:8efad2d89fda80d0ef6d844938eb86d300ff7d9a72c840c8079ab846486be082

Observation 88d1cb1e-428d-4db5-876c-cfa8c825b082 · outbound

This paper cites A Moment-Sum-of-Squares Hierarchy for Robust Polynomial Matrix Inequality Optimization with Sum-of-Squares Convexity,.

Sparse Polynomial Matrix Optimization A Moment-Sum-of-Squares Hierarchy for Robust Polynomial Matrix Inequality Optimization with Sum-of-Squares Convexity,

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.690493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.147381Z digest=sha256:081770039e9f4ae198e919ce770f2bb64bd2515d0ca871acdf88f3201020fa86

Observation cbe64d42-a88a-4bd1-9db4-6ced5c527896 · outbound

This paper cites Sum-of-squares chordal decomposition of polynomial matrix inequalities,.

Sparse Polynomial Matrix Optimization Sum-of-squares chordal decomposition of polynomial matrix inequalities,

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.680089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.152025Z digest=sha256:06257c4e1a3c665d0c6a48d47b712aac756abb4feeabd42049843af9ec7169d1

Observation 2b9f4b6a-7ede-4022-9c07-103c6d15672c · outbound

This paper cites A note on sparse SOS and SDP relaxations for polynomial optimization problems over symmetric cones,.

Sparse Polynomial Matrix Optimization A note on sparse SOS and SDP relaxations for polynomial optimization problems over symmetric cones,

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.668462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.155879Z digest=sha256:0643844789b1026ed5d88b425052d909e3617be00bf518ff802b6edc5b559fcf

Observation d1069753-996f-4fd0-84d0-4a9e598f712d · outbound

This paper cites Sparse polynomial optimization with matrix constraints,.

Sparse Polynomial Matrix Optimization Sparse polynomial optimization with matrix constraints,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.656287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.159718Z digest=sha256:9795e9377a4fe332e80fbe4e0bda427dcb389b1e69f0ecbe12749b57f0972ee6

Observation aec29841-eae7-45ed-b83f-8431d5f8352e · outbound

This paper cites Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion,.

Sparse Polynomial Matrix Optimization Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion,

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.644190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.167320Z digest=sha256:41048c8732504e0865c6697b06bb32c54721528b91c9fdbfb3d77e413a425dde

Observation f8320398-a256-432e-84ed-f5df12b2447d · outbound

This paper cites Term-sparse polynomial optimization for the design of frame structures.

Sparse Polynomial Matrix Optimization Term-sparse polynomial optimization for the design of frame structures

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:28:04.266616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.170991Z digest=sha256:016110eea827d459a123c240a639af1840ff656cb7a542f103751e9734c13353

Observation 760e8a6a-1c5a-4dcf-8ee9-5cdd66243031 · outbound

This paper cites Matrix Sum-of-Squares Relaxations for Robust Semi-Definite Programs,.

Sparse Polynomial Matrix Optimization Matrix Sum-of-Squares Relaxations for Robust Semi-Definite Programs,

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.633136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.174777Z digest=sha256:8b476fba65f5de8f5f06b86aad4fd4caa95e33c87093b20b52bc2f5f4aba870e

Observation cb69fcc2-68c1-4c19-a8f6-d18513734d30 · outbound

This paper cites Closures of Quadratic Modules,.

Sparse Polynomial Matrix Optimization Closures of Quadratic Modules,

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.622409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.179069Z digest=sha256:c44b73fffe6ebb872af981be8a0e7b6a2e60b4b60f859dc4b2f32bfde4b3a763

Observation 61783a0e-aead-446a-9320-a2000106d1f4 · outbound

This paper cites On the complexity of Putinar’s Positivstellensatz,.

Sparse Polynomial Matrix Optimization On the complexity of Putinar’s Positivstellensatz,

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.611186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.183444Z digest=sha256:00f2df26f310c29e7f26bc2e48a2b6edaf27e6d0fca611a263f620cef587aad3

Observation ff935272-2df8-459d-ab8f-4b5b0a75b498 · outbound

This paper cites Minimum-weight triangulation is NP-hard,.

Sparse Polynomial Matrix Optimization Minimum-weight triangulation is NP-hard,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.600138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.187311Z digest=sha256:b6242777d477774095ce050c7ec76d2722f3264487ac591c5cc7b3359c732013

Observation 60b6b5ba-c775-4297-b666-9dd66ea85645 · outbound

This paper cites Treewidth computations I. upper bounds,.

Sparse Polynomial Matrix Optimization Treewidth computations I. upper bounds,

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.588858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.191725Z digest=sha256:29332f194f69d80f819e19213f1832a72fc31dfaf188bac4ec772a64a52d4361

Observation e8dce250-1724-4d0e-9a8c-9b2c3d04e32a · outbound

This paper cites Positive semidefinite matrices with a given sparsity pattern,.

Sparse Polynomial Matrix Optimization Positive semidefinite matrices with a given sparsity pattern,

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.577473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.195366Z digest=sha256:a068cca04a4ca3dcf34cc41ea59dce8281790f5ba6553bc62fbfa4b49eb4957d

Observation 038410cc-0785-4762-835c-1ed1491a1508 · outbound

This paper cites Positive definite completions of partial hermitian matrices,.

Sparse Polynomial Matrix Optimization Positive definite completions of partial hermitian matrices,

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.565325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.199438Z digest=sha256:8b4959b4de20b5aa5c8663944ba871d35fbccd3a8749ad1ed47fa5a262f8c94a

Observation 148fb17c-69e8-4382-af7e-05a90cb26476 · outbound

This paper cites L¨ ofberg,Block diagonalization of matrix-valued sum-of-squares programs.

Sparse Polynomial Matrix Optimization L¨ ofberg,Block diagonalization of matrix-valued sum-of-squares programs

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.552398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.204100Z digest=sha256:0aec5db51d648f3ae4c9781333195b8e352a2a279a940686c8b58ae6c5c7a639

Observation 4f40f948-5e43-48c4-bd47-8acdd74213c5 · outbound

This paper cites On matrix-valued monge–kantorovich optimal mass transport,.

Sparse Polynomial Matrix Optimization On matrix-valued monge–kantorovich optimal mass transport,

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.540556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.208148Z digest=sha256:7e5c151867bce7697841b20d9c6bfcbeffa35c6006f4de30be7b8918fdb5f3cf

Observation 03ce3767-84ad-4d1d-995d-f2729e9a9078 · outbound

This paper cites Convergent SDP-relaxations in polynomial optimization with sparsity,.

Sparse Polynomial Matrix Optimization Convergent SDP-relaxations in polynomial optimization with sparsity,

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.528810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.212167Z digest=sha256:a4963a6b5cfaa4c98cc46cb6bccf744ffe6b6e4cb45b50d0584df5da1a8662c0

Observation f2ad6ac1-afd7-4041-9161-ab26b8b9c37b · outbound

This paper cites A note on the representation of positive polynomials with structured sparsity,.

Sparse Polynomial Matrix Optimization A note on the representation of positive polynomials with structured sparsity,

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.516189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.216195Z digest=sha256:f2895c691fe1efda5910cc454759edf609b760c260aa686a401d32fd790873bb

Observation 44f70b3c-4da9-4dfd-8e6f-023c9de0321d · outbound

This paper cites TSSOS: a Julia library to exploit sparsity for large-scale polynomial opti- mization,.

Sparse Polynomial Matrix Optimization TSSOS: a Julia library to exploit sparsity for large-scale polynomial opti- mization,

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.504580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.220156Z digest=sha256:46529f82e34d1eb0c7837df6cbbc363589d7671c2fb1f2b63af7e6a19181c43f

Observation 370a7f9c-430c-4453-89df-fb757c2e0946 · outbound

This paper cites The Mosek Interior Point Optimizer for Linear Programming: An Implementation of the Homogeneous Algorithm,.

Sparse Polynomial Matrix Optimization The Mosek Interior Point Optimizer for Linear Programming: An Implementation of the Homogeneous Algorithm,

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.492088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.224525Z digest=sha256:0b373d8fc6bcf38061d6ca08325bf9cea9589fe0014e6d067154efce868fbec4

Observation 30d9f4aa-a6eb-4b04-bc03-6f65518a6ebe · outbound

This paper cites Chordal sparsity in control and optimization of large-scale systems,.

Sparse Polynomial Matrix Optimization Chordal sparsity in control and optimization of large-scale systems,

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:28:04.480640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.228320Z digest=sha256:95d88d5b3e8629575f77419e0b119f11cb61fe1aa0cf05095ce1177345eda27d

Observation 8d83d38c-5173-4382-9fa7-95f035cdf1fc · outbound

This paper cites Available: https://arxiv.org/abs/2411.18820.

Sparse Polynomial Matrix Optimization Available: https://arxiv.org/abs/2411.18820

Reference 2024

Resolution
verified exact
raw_fallback, observed 2026-08-12T14:28:04.363953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:28:04.163485Z digest=sha256:8a27def6313fe6be9c8a0b036aea64fa6b7038e04aea1a8a1ae83466f23b2357

Pith citing papers

Observation e3acf1b3-6652-4166-9fa1-7633f4c5fafc · inbound

Finite convergence and minimizer extraction in moment relaxations with correlative sparsity cites this paper.

Finite convergence and minimizer extraction in moment relaxations with correlative sparsity Sparse Polynomial Matrix Optimization

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-09T15:34:21.141655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:34:21.141655Z digest=sha256:ab4c869847be7b9a32015883c523975a3871f56d3817589fc7d50ad8fc8d0601

Observation a338a1d5-daf1-428a-9198-5a3fe2964b89 · inbound

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization cites this paper.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization Sparse Polynomial Matrix Optimization

Reference 18

Resolution
metadata mismatch
local_arxiv, observed 2026-08-05T11:29:39.964983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T11:29:35.289594Z digest=sha256:a8eae45d2be52846f7a430fc2391161576fc0ffed45dddf041b7f130dd2bb73b