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Paper Citation Record · LEDGER

Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2209.15130.

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

pith.paper-citation-record.v1
2209.15130 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:55:23.937293Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T04:47:33.504933Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 4287f720-b81a-40cb-86fe-8e2c46342194 · inbound

A primal-dual interior point trust region method for second-order stationary points of Riemannian inequality-constrained optimization problems cites this paper.

A primal-dual interior point trust region method for second-order stationary points of Riemannian inequality-constrained optimization problems Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-07-21T00:19:48.031947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-23T04:46:32.982006Z digest=sha256:191bc5a1a2fc932f1e5c39ac2b9cade3a60a6d8f648e3c782bbc0aeed9aa46e4

Observation df1f0fbf-0a08-4d04-a2af-0cf45036ca60 · inbound

A High-Dimensional Statistical Theory for Convex and Nonconvex Matrix Sensing cites this paper.

A High-Dimensional Statistical Theory for Convex and Nonconvex Matrix Sensing Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-06T22:55:23.937293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:55:23.937293Z digest=sha256:1375dac7b2e2da2297b1eb10d0911f023c1984471b13f3ada4e52846714b2a70