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Paper Citation Record · LEDGER

On Second-Order Methods for Bilevel Optimization

As of 7 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2606.20534.

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

pith.paper-citation-record.v1
2606.20534 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T15:48:40.038340Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

12 of 12 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved5
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 61c6b65b-4838-46b2-8db2-db5a5e0ea960 · outbound

This paper cites arXiv preprint arXiv:2502.09074 , year=.

On Second-Order Methods for Bilevel Optimization arXiv preprint arXiv:2502.09074 , year=

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-04T05:39:40.070639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:9731f525032fd90db5d866558bfa100a3951642c40e30b6b758c41466e5e35ff

Observation cb07fb2e-ed56-4aa3-9615-37898e2bd341 · outbound

This paper cites Colson, P.

On Second-Order Methods for Bilevel Optimization Colson, P

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-26T15:48:40.038340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:fc44fe70cef4f601238774477eba2c55438293e3000c7b023d3772546929377f

Observation ecf5e4c5-6320-4d59-840a-d052f3a6fba1 · outbound

This paper cites an unresolved cited work.

On Second-Order Methods for Bilevel Optimization Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T15:48:40.038340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:7fe9680234ac3a14d177a44dd45a3f4c48ba89d00fe8c66a33aaea40f147d778

Observation 0b155246-cf0d-4a4f-aeda-d2cf18d8163b · outbound

This paper cites Franceschi, P.

On Second-Order Methods for Bilevel Optimization Franceschi, P

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T15:48:40.038340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:53714d799377b3287e6194c49789fc16fa7f6747b54dd4adf217f5b5249a3b91

Observation bb7a8d71-4229-49a9-856d-578d2b518989 · outbound

This paper cites Approximation Methods for Bilevel Programming.

On Second-Order Methods for Bilevel Optimization Approximation Methods for Bilevel Programming

Reference 5

Resolution
malformed identifier
local_arxiv, observed 2026-07-04T05:39:40.067308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:a52d8296758231871b8958977f4a24c030292115ad884d76eb0639a89cd77f36

Observation 639de219-19c7-4de2-bfb9-1f0c03dd60f1 · outbound

This paper cites First-order penalty methods for bilevel optimization.

On Second-Order Methods for Bilevel Optimization First-order penalty methods for bilevel optimization

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-04T05:39:40.079712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:9f6dd6d301cacdebaecdc8340682d979e8c40cbdf3b4ec4a27d5afe3f8cd561d

Observation 42b85254-28a6-4a03-aa58-af164187b7f6 · outbound

This paper cites SEUF: Is unlearning one expert enough for mixture-of-experts LLMs?.

On Second-Order Methods for Bilevel Optimization SEUF: Is unlearning one expert enough for mixture-of-experts LLMs?

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-04T05:39:40.082750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:39960177c3352a39afd0942caea9473abf064cde8111b111ed3f260623266b24

Observation 201ee38a-e169-43eb-b9cb-9eeaccd278f7 · outbound

This paper cites On Penalty-based Bilevel Gradient Descent Method.

On Second-Order Methods for Bilevel Optimization On Penalty-based Bilevel Gradient Descent Method

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-04T05:39:40.076392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:d4969bce6381582db61b3fa6dcdafbd96949120f0f5dfdf1fdc8243956fba849

Observation 0beef29a-2a69-4a06-8700-1f0612a79028 · outbound

This paper cites Tripuraneni, M.

On Second-Order Methods for Bilevel Optimization Tripuraneni, M

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-26T15:48:40.038340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:48dc7d1cbe268cf347e840e788384c5d685dc904554270bb9d8f5a9feddc2872

Observation 8191f828-12bf-4380-a336-5229df7c14aa · outbound

This paper cites A Note on Inexact Condition for Cubic Regularized Newton's Method.

On Second-Order Methods for Bilevel Optimization A Note on Inexact Condition for Cubic Regularized Newton's Method

Reference 10

Resolution
malformed identifier
local_arxiv, observed 2026-07-04T05:39:40.064264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:eecaef07c2cb833c42d4ff88be04d84fc2975670a3955bde9ec2a6634e2e70f5

Observation 72a08019-ec6d-4bd6-b2d4-282f9aeac8fc · outbound

This paper cites DRSOM: A Dimension Reduced Second-Order Method.

On Second-Order Methods for Bilevel Optimization DRSOM: A Dimension Reduced Second-Order Method

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-07-04T05:39:40.073650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:f4a39ea38eb25b65ebbed58ec86035566fdfae9e6411147925fe215957430855

Observation b559de96-45dc-4a04-8452-74ccbbc6e56a · outbound

This paper cites By the residual stopping criterion and the µg-strong convexity of g(xk,· ), we have ∥yk,Nk −y ∗(xk)∥ ≤ 1 µg ∥∇yg(xk, yk,Nk)∥ ≤δ k.

On Second-Order Methods for Bilevel Optimization By the residual stopping criterion and the µg-strong convexity of g(xk,· ), we have ∥yk,Nk −y ∗(xk)∥ ≤ 1 µg ∥∇yg(xk, yk,Nk)∥ ≤δ k

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-26T15:48:40.038340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T15:48:40.038340Z digest=sha256:eeae40ea00758f58e05640919dd1d87d5911feccfc416d10d87336e2bbe62367

Pith citing papers

No inbound Pith citation observations are available.