Sparse Noncommutative Polynomial Optimization | Paper Citation Record

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This paper cites Anjos and Jean B.

Sparse Noncommutative Polynomial Optimization Anjos and Jean B

Reference 1

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This paper cites A course in convexity , volume 54 of Graduate Studies in Mathematics.

Sparse Noncommutative Polynomial Optimization A course in convexity , volume 54 of Graduate Studies in Mathematics

Reference 2

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This paper cites The tracial moment problem and trace-optimization of polynomials.

Sparse Noncommutative Polynomial Optimization The tracial moment problem and trace-optimization of polynomials

Reference 3

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Observation 264f41a7-6ee5-42eb-8bef-18b192194d08 · outbound

This paper cites Linear Matrix Inequalities in System and Control Theory , volume 15 of Studies in Applied Mathematics.

Sparse Noncommutative Polynomial Optimization Linear Matrix Inequalities in System and Control Theory , volume 15 of Studies in Applied Mathematics

Reference 4

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Observation 12b66af5-45d7-464e-9237-582bc2e23156 · outbound

This paper cites Optimization of polynomials in non-commuting variables.

Sparse Noncommutative Polynomial Optimization Optimization of polynomials in non-commuting variables

Reference 5

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Observation 18335f34-fc6f-4146-9ed1-9cc9d5a14693 · outbound

This paper cites Blackadar.

Sparse Noncommutative Polynomial Optimization Blackadar

Reference 6

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Observation e2fad07f-e88e-4953-9c37-ef6f3226b52f · outbound

This paper cites Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics.

Sparse Noncommutative Polynomial Optimization Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics

Reference 7

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This paper cites An introduction to central simple algebras and their applications to wireless communication , volume 191 of Mathematical Surveys and Monographs.

Sparse Noncommutative Polynomial Optimization An introduction to central simple algebras and their applications to wireless communication , volume 191 of Mathematical Surveys and Monographs

Reference 8

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Sparse Noncommutative Polynomial Optimization Unresolved cited work

Reference 9

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Observation feb754da-c46a-46c1-8448-0d0b7e404ec2 · outbound

This paper cites Introduction to noncommutative algebra.

Sparse Noncommutative Polynomial Optimization Introduction to noncommutative algebra

Reference 10

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Observation db2c301f-fa2c-418d-8003-4b6af3d7d81e · outbound

This paper cites Conn, Nicholas I.

Sparse Noncommutative Polynomial Optimization Conn, Nicholas I

Reference 11

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Observation 75c057ca-7a6e-47b9-8088-e5198a69ca96 · outbound

This paper cites N CSOS tools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials.

Sparse Noncommutative Polynomial Optimization N CSOS tools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials

Reference 12

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Observation 1c0c97e3-92e6-4a21-987a-6c59d884a719 · outbound

This paper cites Constrained polynomial optimization problems with noncommuting variables.

Sparse Noncommutative Polynomial Optimization Constrained polynomial optimization problems with noncommuting variables

Reference 13

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Observation 94336fb9-e52e-4820-a246-2d1c849f8082 · outbound

This paper cites Semialgebraic Optimization for Lipschitz Constants of ReLU Networks.

Sparse Noncommutative Polynomial Optimization Semialgebraic Optimization for Lipschitz Constants of ReLU Networks

Reference 14

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Observation 239114ed-ef1f-4678-bee0-527b89fbb5e2 · outbound

This paper cites Exploiting sparsity in semidefinite programming via matrix completion.

Sparse Noncommutative Polynomial Optimization Exploiting sparsity in semidefinite programming via matrix completion

Reference 15

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Observation 45d85f20-d8d8-4a1a-8313-d0708f03211b · outbound

This paper cites Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization.

Sparse Noncommutative Polynomial Optimization Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization

Reference 16

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Observation 6b03d9c7-f73b-4a58-956b-3d80b742ddbc · outbound

This paper cites Lower bounds on matrix factorization ranks via noncommutative polynomial optimization.

Sparse Noncommutative Polynomial Optimization Lower bounds on matrix factorization ranks via noncommutative polynomial optimization

Reference 17

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

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

Reference 18

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Observation f3ad6e1d-aa63-405e-9df5-78b7d6ba8f03 · outbound

This paper cites William Helton.

Sparse Noncommutative Polynomial Optimization William Helton

Reference 19

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Observation c7a0d673-00ac-4eb7-89ac-501aa89f2257 · outbound

This paper cites William Helton, Igor Klep, and Scott McCullough.

Sparse Noncommutative Polynomial Optimization William Helton, Igor Klep, and Scott McCullough

Reference 20

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Observation f6b656ff-4b9d-4bc9-930a-b747870f843c · outbound

This paper cites Glopti P oly 3: moments, optimization and semidefinite programming.

Sparse Noncommutative Polynomial Optimization Glopti P oly 3: moments, optimization and semidefinite programming

Reference 21

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Observation bcb45692-a52b-4ebe-9ac1-b9afbeb6cebb · outbound

This paper cites Approximate volume and integration for basic semialgebraic sets.

Sparse Noncommutative Polynomial Optimization Approximate volume and integration for basic semialgebraic sets

Reference 22

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This paper cites William Helton and Scott A.

Sparse Noncommutative Polynomial Optimization William Helton and Scott A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.643061Z

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This paper cites Ordered linear spaces.

Sparse Noncommutative Polynomial Optimization Ordered linear spaces

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.634403Z

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Observation 41fceda2-7071-4ede-8f09-6cfa45364515 · outbound

This paper cites Application of polynomial optimization to electricity transmission networks.

Sparse Noncommutative Polynomial Optimization Application of polynomial optimization to electricity transmission networks

Reference 25

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This paper cites Anneaux pr\' e ordonn\' e s.

Sparse Noncommutative Polynomial Optimization Anneaux pr\' e ordonn\' e s

Reference 26

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Observation 6e68922f-2e5b-47a2-92e2-5b9e22b4f599 · outbound

This paper cites Sums of H ermitian squares and the BMV conjecture.

Sparse Noncommutative Polynomial Optimization Sums of H ermitian squares and the BMV conjecture

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.606306Z

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Observation 1f8abbd2-cccf-49fa-ac17-83aa7dfedbe7 · outbound

This paper cites A first course in noncommutative rings , volume 131.

Sparse Noncommutative Polynomial Optimization A first course in noncommutative rings , volume 131

Reference 28

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Observation b188db02-e866-4483-8d63-1cedc96cc48d · outbound

This paper cites Global optimization with polynomials and the problem of moments.

Sparse Noncommutative Polynomial Optimization Global optimization with polynomials and the problem of moments

Reference 29

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Observation a0774bfa-87a6-4334-8d24-823ae213e6ff · outbound

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

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

Reference 30

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This paper cites Matrix completion problems.

Sparse Noncommutative Polynomial Optimization Matrix completion problems

Reference 31

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Observation 01755f40-c89a-449b-afd0-df5985d8ecd9 · outbound

This paper cites Sums of squares, moment matrices and optimization over polynomials.

Sparse Noncommutative Polynomial Optimization Sums of squares, moment matrices and optimization over polynomials

Reference 32

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Sparse Noncommutative Polynomial Optimization Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:58:57.553274Z

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This paper cites Semidefinite programming and integer programming.

Sparse Noncommutative Polynomial Optimization Semidefinite programming and integer programming

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.543663Z

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This paper cites Lieb and Robert Seiringer.

Sparse Noncommutative Polynomial Optimization Lieb and Robert Seiringer

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.536417Z

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This paper cites A bounded degree SOS hierarchy for polynomial optimization.

Sparse Noncommutative Polynomial Optimization A bounded degree SOS hierarchy for polynomial optimization

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.527784Z

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Observation 37abd350-b421-4737-9423-9ab6bc47c86d · outbound

This paper cites Interval Enclosures of Upper Bounds of Roundoff Errors Using Semidefinite Programming.

Sparse Noncommutative Polynomial Optimization Interval Enclosures of Upper Bounds of Roundoff Errors Using Semidefinite Programming

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.516276Z

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Observation d862ba6d-4e0f-4d4a-a04e-2e7414da9ba1 · outbound

This paper cites Factorization of operator-valued polynomials in several non-commuting variables.

Sparse Noncommutative Polynomial Optimization Factorization of operator-valued polynomials in several non-commuting variables

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.505855Z

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This paper cites Certified roundoff error bounds using semidefinite programming.

Sparse Noncommutative Polynomial Optimization Certified roundoff error bounds using semidefinite programming

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.495491Z

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This paper cites A numerical algorithm for block-diagonal decomposition of matrix * -algebras with application to semidefinite programming.

Sparse Noncommutative Polynomial Optimization A numerical algorithm for block-diagonal decomposition of matrix * -algebras with application to semidefinite programming

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.485895Z

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Observation 05c2013c-87ae-46dd-be59-cc5422b23243 · outbound

This paper cites A sparse version of Reznick's Positivstellensatz.

Sparse Noncommutative Polynomial Optimization A sparse version of Reznick's Positivstellensatz

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:58:57.265021Z

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This paper cites http://www.mosek.com/.

Sparse Noncommutative Polynomial Optimization http://www.mosek.com/

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.476710Z

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Observation 6a5ad9a9-5766-4cc2-a52a-cee2c7246502 · outbound

This paper cites Noncommutative sums of squares.

Sparse Noncommutative Polynomial Optimization Noncommutative sums of squares

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.468757Z

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Observation 2e365db1-e63b-4f06-b6e7-d8298497bfdf · outbound

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Sparse Noncommutative Polynomial Optimization Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:58:57.459395Z

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Observation 2d4281b1-3b43-495c-8cd2-2a2dbe42d5f4 · outbound

This paper cites Exploiting sparsity in semidefinite programming via matrix completion.

Sparse Noncommutative Polynomial Optimization Exploiting sparsity in semidefinite programming via matrix completion

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.450854Z

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Observation 02155f16-ad2f-43fe-b6aa-4b19fe5825c0 · outbound

This paper cites The A -truncated K -moment problem.

Sparse Noncommutative Polynomial Optimization The A -truncated K -moment problem

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-14T05:58:57.126506Z

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Observation a76c9c20-bbc9-4dfc-85d4-c2c00b1c0679 · outbound

This paper cites A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations.

Sparse Noncommutative Polynomial Optimization A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.437407Z

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Observation e0947594-7d52-44b6-a968-27a4e3b5d0d2 · outbound

This paper cites Hyperbolic polynomials and generalized C lifford algebras.

Sparse Noncommutative Polynomial Optimization Hyperbolic polynomials and generalized C lifford algebras

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.427014Z

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Observation 0c16c32f-226f-47e3-be11-f2b470a42aa5 · outbound

This paper cites Convergent relaxations of polynomial optimization problems with noncommuting variables.

Sparse Noncommutative Polynomial Optimization Convergent relaxations of polynomial optimization problems with noncommuting variables

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.418644Z

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Observation a85fd626-79ce-4acc-acac-04fa4d770551 · outbound

This paper cites Positive polynomials on compact semi-algebraic sets.

Sparse Noncommutative Polynomial Optimization Positive polynomials on compact semi-algebraic sets

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.411127Z

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Observation fdc7a8d0-7db4-4ff8-a2a6-d5ad167a13db · outbound

This paper cites P\' a l and Tam\' a s V\' e rtesi.

Sparse Noncommutative Polynomial Optimization P\' a l and Tam\' a s V\' e rtesi

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.403940Z

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Observation 9716a52a-165d-41b6-b639-929a6d311932 · outbound

This paper cites Extremal PSD forms with few terms.

Sparse Noncommutative Polynomial Optimization Extremal PSD forms with few terms

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.396431Z

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Observation 2ba335fb-9ab4-45ee-a867-55027b2296f8 · outbound

This paper cites Exploiting symmetries in SDP -relaxations for polynomial optimization.

Sparse Noncommutative Polynomial Optimization Exploiting symmetries in SDP -relaxations for polynomial optimization

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.387564Z

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Observation 53cd61d2-205f-4d03-b17b-d1d4bfefac9f · outbound

This paper cites Skelton, Tetsuya Iwasaki, and Karolos M.

Sparse Noncommutative Polynomial Optimization Skelton, Tetsuya Iwasaki, and Karolos M

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.378939Z

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Observation f7da88a9-5a1d-45b3-847b-a22553f38317 · outbound

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Sparse Noncommutative Polynomial Optimization Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:58:57.369927Z

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Observation b6cd7dff-2ebd-41b5-8f14-830a16b7e322 · outbound

This paper cites an unresolved cited work.

Sparse Noncommutative Polynomial Optimization Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:58:57.361131Z

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Observation db4af9a4-8185-4bb5-b4e4-d5f6425f5c3d · outbound

This paper cites Theory of operator algebras.

Sparse Noncommutative Polynomial Optimization Theory of operator algebras

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.352002Z

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Observation 3ece4c44-83a7-4423-8255-9ac1ea80a837 · outbound

This paper cites u t\" u nc\.

Sparse Noncommutative Polynomial Optimization u t\" u nc\

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.345235Z

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Observation dd23551a-37db-4642-a66d-aae12234ebfe · outbound

This paper cites Exploiting Sparsity for Semi-Algebraic Set Volume Computation.

Sparse Noncommutative Polynomial Optimization Exploiting Sparsity for Semi-Algebraic Set Volume Computation

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:58:57.252617Z

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Observation 927911cf-5f74-45a1-b654-e69ebe80b87d · outbound

This paper cites Dykema, and Alexandru Nica.

Sparse Noncommutative Polynomial Optimization Dykema, and Alexandru Nica

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.336907Z

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Observation e265b0d9-d934-4161-8ade-6cb77e219833 · outbound

This paper cites Symmetries of some reduced free product C^ -algebras.

Sparse Noncommutative Polynomial Optimization Symmetries of some reduced free product C^ -algebras

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.329496Z

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Observation 31e8fe84-6c86-4ee5-bce9-ae3247fc2f7b · outbound

This paper cites Algorithm 950: N cpol2sdpa-sparse semidefinite programming relaxations for polynomial optimization problems of noncommuting variables.

Sparse Noncommutative Polynomial Optimization Algorithm 950: N cpol2sdpa-sparse semidefinite programming relaxations for polynomial optimization problems of noncommuting variables

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.320809Z

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Observation 18ec9286-7fe4-4093-b5a6-a8289b728994 · outbound

This paper cites Algorithm 883: sparse POP ---a sparse semidefinite programming relaxation of polynomial optimization problems.

Sparse Noncommutative Polynomial Optimization Algorithm 883: sparse POP ---a sparse semidefinite programming relaxation of polynomial optimization problems

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.311311Z

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Observation b8a97461-df87-4c6c-aabd-c778e66c7ad0 · outbound

This paper cites Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity.

Sparse Noncommutative Polynomial Optimization Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.302697Z

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Observation 1ba916e8-13e1-46fc-ad95-54f572182096 · outbound

This paper cites Sparse- BSOS : a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity.

Sparse Noncommutative Polynomial Optimization Sparse- BSOS : a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.294488Z

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Observation 1485340f-8eeb-4526-8f85-977d23a588f4 · outbound

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

Sparse Noncommutative Polynomial Optimization TSSOS: A Moment-SOS hierarchy that exploits term sparsity

Reference 66

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:58:57.240667Z

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Observation 7df30b9b-e49b-4493-bfac-954c6dea4be1 · outbound

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

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

Reference 67

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:58:57.229411Z

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Observation 417d72c3-01dc-4b5c-9d8f-2afbadf31497 · outbound

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

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

Reference 68

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:58:57.217344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bf2501db-bc45-4db3-a634-5cf046750b96 · outbound

This paper cites Implementation and evaluation of SDPA 6.0 (semidefinite programming algorithm 6.0).

Sparse Noncommutative Polynomial Optimization Implementation and evaluation of SDPA 6.0 (semidefinite programming algorithm 6.0)

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:58:57.286650Z

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