Paper Citation Record · LEDGER

On Squared-Variable Formulations for Nonlinear Semidefinite programming

As of 22 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2502.02099.

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

pith.paper-citation-record.v1
2502.02099 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T13:26:58.018626Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

39 of 39 outbound references displayed

verified exact2
verified fuzzy34
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ab296ca-9589-4eba-a711-85b8ca889f31 · outbound

This paper cites Barvinok.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Barvinok

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.355695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d44ac5a2-c0ed-479a-aff0-9ac896ecd3d3 · outbound

This paper cites Smoothed analysis for low-rank solutions to semidefinite programs in quadratic penalty form.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Smoothed analysis for low-rank solutions to semidefinite programs in quadratic penalty form

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.347834Z

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Observation 08e2081f-9033-4c27-8bd5-5800f9c828d7 · outbound

This paper cites On the low-rank approach for semidefinite programs arising in synchronization and community detection.

On Squared-Variable Formulations for Nonlinear Semidefinite programming On the low-rank approach for semidefinite programs arising in synchronization and community detection

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.339630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 42343ad9-95b8-4dd9-b7cb-3d652c19aca1 · outbound

This paper cites an unresolved cited work.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-09T13:26:58.331489Z

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Observation 7bd59c4b-55b6-414c-b9a0-9d3f733acb81 · outbound

This paper cites A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization.

On Squared-Variable Formulations for Nonlinear Semidefinite programming A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.323744Z

Source-reported events for the cited work

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Observation 5578bf88-077e-4347-83fe-58b3af5549e7 · outbound

This paper cites Local minima and convergence in low-rank semidefinite programming.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Local minima and convergence in low-rank semidefinite programming

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.316689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation db8f8833-a865-4064-8a54-c980d668eb7f · outbound

This paper cites The non-convex Burer-Monteiro approach works on smooth semidefinite programs.

On Squared-Variable Formulations for Nonlinear Semidefinite programming The non-convex Burer-Monteiro approach works on smooth semidefinite programs

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.309701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2069ae87-ea4f-4afe-8a63-ede45de4175d · outbound

This paper cites Deterministic guarantees for Burer-Monteiro factorizations of smooth semidefinite programs.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Deterministic guarantees for Burer-Monteiro factorizations of smooth semidefinite programs

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.302733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 49fe0de9-01f1-4ed0-b6c4-213dfdef9f0b · outbound

This paper cites Harnessing structures in big data via guaranteed low-rank matrix estimation: Recent theory and fast algorithms via convex and nonconvex optimization.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Harnessing structures in big data via guaranteed low-rank matrix estimation: Recent theory and fast algorithms via convex and nonconvex optimization

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.295108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 00c1ee90-c91f-467b-8ffe-4e228d2dea53 · outbound

This paper cites Noisy matrix completion: Understanding statistical guarantees for convex relaxation via nonconvex optimization.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Noisy matrix completion: Understanding statistical guarantees for convex relaxation via nonconvex optimization

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.286885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 40a7090f-b835-4821-8a17-d5c6aa3c410b · outbound

This paper cites Nonconvex optimization meets low-rank matrix factorization: An overview.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Nonconvex optimization meets low-rank matrix factorization: An overview

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.278578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d9badebb-2f3c-465d-9cb4-bf1eff9ffb18 · outbound

This paper cites Polynomial time guarantees for the Burer-Monteiro method.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Polynomial time guarantees for the Burer-Monteiro method

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.270527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2d2df593-dd3b-4f23-a206-241b1c2acdbc · outbound

This paper cites Metric regularity, tangent sets, and second-order optimality conditions.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Metric regularity, tangent sets, and second-order optimality conditions

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.262645Z

Source-reported events for the cited work

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Observation f4831ab0-be81-45c2-ba6b-8db1ffed253d · outbound

This paper cites Tight oracle inequalities for low-rank matrix recovery from a minimal number of noisy random measurements.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Tight oracle inequalities for low-rank matrix recovery from a minimal number of noisy random measurements

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.254387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5a382f22-efdb-40da-ab12-53937b742614 · outbound

This paper cites On the simplicity and conditioning of low rank semidefinite programs.

On Squared-Variable Formulations for Nonlinear Semidefinite programming On the simplicity and conditioning of low rank semidefinite programs

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.246359Z

Source-reported events for the cited work

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Observation 58fe1020-601a-401f-9144-080aa921b041 · outbound

This paper cites On Squared-Variable Formulations.

On Squared-Variable Formulations for Nonlinear Semidefinite programming On Squared-Variable Formulations

Reference 16

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Source-reported events for the cited work

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Observation 53312bb4-0687-468a-8182-b6ca210186d3 · outbound

This paper cites Analysis on symmetric cones.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Analysis on symmetric cones

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.238461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0f903bc7-60b4-4ef7-b62c-436871a63d69 · outbound

This paper cites Nonlinear Programming: Sequential Unconstrained Minimization Techniques.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Nonlinear Programming: Sequential Unconstrained Minimization Techniques

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.230235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 904ff6a9-8148-4e45-9f62-776494bfcf32 · outbound

This paper cites Optimality conditions for nonconvex semidefinite programming.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Optimality conditions for nonconvex semidefinite programming

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.222260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5f091b86-c299-4e7c-8f08-a916f54fa1fa · outbound

This paper cites No spurious local minima in nonconvex low rank problems: A unified geometric analysis.

On Squared-Variable Formulations for Nonlinear Semidefinite programming No spurious local minima in nonconvex low rank problems: A unified geometric analysis

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.214232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ba76f6c3-cf2f-4092-874b-4a10b490fcf2 · outbound

This paper cites How to escape saddle points efficiently.

On Squared-Variable Formulations for Nonlinear Semidefinite programming How to escape saddle points efficiently

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.206319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5c2efe98-26ec-463c-869a-874aec329c1d · outbound

This paper cites Optimality conditions for nonlinear semidefinite programming via squared slack variables.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Optimality conditions for nonlinear semidefinite programming via squared slack variables

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.199350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation aa430e07-55b6-4444-b532-b2a4130ebe26 · outbound

This paper cites The effect of smooth parametrizations on nonconvex optimization landscapes.

On Squared-Variable Formulations for Nonlinear Semidefinite programming The effect of smooth parametrizations on nonconvex optimization landscapes

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.192030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ed31d252-5869-43f4-9054-b89e68342f36 · outbound

This paper cites From the simplex to the sphere: Faster constrained optimization using the Hadamard parametrization.

On Squared-Variable Formulations for Nonlinear Semidefinite programming From the simplex to the sphere: Faster constrained optimization using the Hadamard parametrization

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-09T13:26:58.059518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation faca8f9f-ed00-492b-9e6f-bc9496d4eae9 · outbound

This paper cites Gradient descent only converges to minimizers.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Gradient descent only converges to minimizers

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.185018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4e287d1a-a67f-49c0-91e7-45e1fcb15c2c · outbound

This paper cites Linear and nonlinear programming second edition.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Linear and nonlinear programming second edition

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.177391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4f023951-898c-4206-9d35-439899089c6e · outbound

This paper cites Nocedal and S.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Nocedal and S

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.168882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1594f392-88e7-4089-9f12-5c4b5e59450e · outbound

This paper cites The Burer-Monteiro sdp method can fail even above the Barvinok-Pataki bound.

On Squared-Variable Formulations for Nonlinear Semidefinite programming The Burer-Monteiro sdp method can fail even above the Barvinok-Pataki bound

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.160091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bd7acbe2-ba15-407d-81a1-202bcde772e3 · outbound

This paper cites On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues.

On Squared-Variable Formulations for Nonlinear Semidefinite programming On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.151564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6e34071c-b7fd-4a46-9204-5713ae07f1fe · outbound

This paper cites An inexact augmented lagrangian framework for nonconvex optimization with nonlinear constraints.

On Squared-Variable Formulations for Nonlinear Semidefinite programming An inexact augmented lagrangian framework for nonconvex optimization with nonlinear constraints

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.143083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9b337a2c-b164-4b01-b9fa-00973dd88bfd · outbound

This paper cites First and second order analysis of nonlinear semidefinite programs.

On Squared-Variable Formulations for Nonlinear Semidefinite programming First and second order analysis of nonlinear semidefinite programs

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.134574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d74b21fb-19b7-4ea1-838f-35d6283aff1b · outbound

This paper cites Similarity and other spectral relations for symmetric cones.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Similarity and other spectral relations for symmetric cones

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.125982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3a6ac124-39d8-4d1c-8f00-d41093509cf4 · outbound

This paper cites High-dimensional statistics: A non-asymptotic viewpoint , volume 48.

On Squared-Variable Formulations for Nonlinear Semidefinite programming High-dimensional statistics: A non-asymptotic viewpoint , volume 48

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-09T13:26:58.001349Z

Source-reported events for the cited work

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Observation 089f2c7e-3348-48c5-b702-b1f785a2e3d1 · outbound

This paper cites Characterization of the subdifferential of some matrix norms.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Characterization of the subdifferential of some matrix norms

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.111861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 05a9e5ee-e33f-428b-b3d9-b89f2b96f38d · outbound

This paper cites Rank optimality for the Burer-Monteiro factorization.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Rank optimality for the Burer-Monteiro factorization

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.102981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e5ba9f41-ebc8-43f9-a62d-dddd5c4803a2 · outbound

This paper cites Complexity of proximal augmented lagrangian for nonconvex optimization with nonlinear equality constraints.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Complexity of proximal augmented lagrangian for nonconvex optimization with nonlinear equality constraints

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.093485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 019470f5-cb0e-4e3b-bb95-59c2667e6fde · outbound

This paper cites A useful variant of the davis--kahan theorem for statisticians.

On Squared-Variable Formulations for Nonlinear Semidefinite programming A useful variant of the davis--kahan theorem for statisticians

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.084759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8f864de9-1e9e-4ee9-9ba0-310248826e16 · outbound

This paper cites Improved Global Guarantees for the Nonconvex Burer--Monteiro Factorization via Rank Overparameterization.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Improved Global Guarantees for the Nonconvex Burer--Monteiro Factorization via Rank Overparameterization

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-09T13:26:58.048115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 69283cf9-e0fe-4e3e-a466-0cefb032c792 · outbound

This paper cites Global optimality in low-rank matrix optimization.

On Squared-Variable Formulations for Nonlinear Semidefinite programming Global optimality in low-rank matrix optimization

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:26:58.076342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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