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Paper Citation Record · LEDGER

On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2309.01753.

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

pith.paper-citation-record.v1
2309.01753 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:47:10.768370Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T08:49:42.358008Z

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 39c9b54b-6224-4cff-a86a-d5c8a4ef40a8 · inbound

A Nearly Optimal Single Loop Algorithm for Stochastic Bilevel Optimization under Unbounded Smoothness cites this paper.

A Nearly Optimal Single Loop Algorithm for Stochastic Bilevel Optimization under Unbounded Smoothness On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-10T23:47:10.768370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T23:47:10.768370Z digest=sha256:85dc5dbd5d29d27ea2b1bacee0f560f7ca3d9c28598fcde0b918045a28051f9a

Observation 2dcbc11d-e793-4583-90c3-c32ea1004636 · inbound

Beyond Two-Stage Training: Cooperative SFT and RL for LLM Reasoning cites this paper.

Beyond Two-Stage Training: Cooperative SFT and RL for LLM Reasoning On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-04T22:56:02.518758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T22:56:02.518758Z digest=sha256:a603baea418b6b3319a964d9b2dbc3ba0a635f468c8059d6cb1faf1b190af4fa

Observation 0c725faa-1879-4d54-86de-ea55fdf2b2a6 · inbound

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise cites this paper.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-04T16:23:19.284782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T16:23:19.284782Z digest=sha256:fea5013c65a3ede8f442839d2a34535f119be8364df289dc1d0637fd1cf3aaa4

Observation 6593323f-ad9a-4ee6-ad24-ff79e727ef54 · inbound

Second-Order Bilevel Optimization with Accelerated Convergence Rates cites this paper.

Second-Order Bilevel Optimization with Accelerated Convergence Rates On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-11T20:46:11.025487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-08T08:08:45.069685Z digest=sha256:dfa0c42aa3b1722dd0a03282a7a69e6acb6281d0b841a4f9d3af02bfd71394af

Observation 431ece44-ed2e-4245-9223-1e1e68ecb7da · inbound

BROS: Bias-Corrected Randomized Subspaces for Memory-Efficient Single-Loop Bilevel Optimization cites this paper.

BROS: Bias-Corrected Randomized Subspaces for Memory-Efficient Single-Loop Bilevel Optimization On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-12T05:56:26.497677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-12T04:47:04.868735Z digest=sha256:a2c40e7612095866483b103e6a3cd5224cc85680adc2d765bd88897838f205c1

Observation 3f20aff1-f0b2-4a51-a17b-34b9b843d380 · inbound

BROS: Bias-Corrected Randomized Subspaces for Memory-Efficient Single-Loop Bilevel Optimization cites this paper.

BROS: Bias-Corrected Randomized Subspaces for Memory-Efficient Single-Loop Bilevel Optimization On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-13T06:22:23.290073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-13T06:20:42.781613Z digest=sha256:3947e5f02695460f4e94d6d577ee3dfe3eece1bb22d66b21bdc07afd25d72ca0

Observation 66fe6240-dbec-4e8c-a9c3-e77d94ee901d · inbound

On the Nature of Regularity Assumptions in Bilevel Optimization with Constrained Lower-level Problem cites this paper.

On the Nature of Regularity Assumptions in Bilevel Optimization with Constrained Lower-level Problem On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

Reference 74

Resolution
verified exact
arxiv_id, observed 2026-05-15T01:58:28.996075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-05-15T01:57:37.847553Z digest=sha256:ec83fe6caf7a135debfed95a85dae4bdac8ffffac3dc768b28b5be892292b2ac

Observation 4f9585a1-d5a8-4765-b36a-e566f187fd3e · inbound

Escaping the Variance Trap: Jacobian-Free Dynamics for Root-Finding Bilevel Optimization cites this paper.

Escaping the Variance Trap: Jacobian-Free Dynamics for Root-Finding Bilevel Optimization On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-07-04T08:49:42.359911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-06-26T10:56:26.951886Z digest=sha256:214f0e00d76027917d3c5fa5913dd3ba52b993c9c844722e8e8735181bc7b735

Observation b8b0c433-88f8-4b7d-b868-cbc097d4b374 · inbound

Sharper Analysis of Single-Loop Methods for Bilevel Optimization cites this paper.

Sharper Analysis of Single-Loop Methods for Bilevel Optimization On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

Reference 39

Resolution
unresolved
no resolver link, observed 2026-07-14T13:04:23.482075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T13:04:23.482075Z digest=sha256:3a638c09b07b7144661babd992cc543c73acf7d8136d8f4a958bb31f16100cc1

Observation b23586e6-f3ee-408b-9a89-5c49d06f8c7b · inbound

Stochastic Dynamic Barrier Perturbed Gradient Methods for Nonconvex Simple Bilevel Optimization cites this paper.

Stochastic Dynamic Barrier Perturbed Gradient Methods for Nonconvex Simple Bilevel Optimization On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation

Reference 39

Resolution
unresolved
no resolver link, observed 2026-07-14T08:04:14.297636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T08:04:14.297636Z digest=sha256:6946bd6f99ce4ea3aed60c073431119ffc0db94ceac4d27e28d8624c2c801047