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Paper Citation Record · LEDGER

Dimer-Enhanced Optimization: A First-Order Approach to Escaping Saddle Points in Neural Network Training

As of 21 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2507.19968.

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

pith.paper-citation-record.v1
2507.19968 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T13:54:28.588116Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

7 of 7 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3a2ac1b2-7b62-4483-afab-de8fe8c5a599 · outbound

This paper cites Identifying and attacking the saddle point problem in high-dimensional non-convex optimization.

Dimer-Enhanced Optimization: A First-Order Approach to Escaping Saddle Points in Neural Network Training Identifying and attacking the saddle point problem in high-dimensional non-convex optimization

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T13:54:28.563026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T13:54:28.563026Z digest=sha256:5e4924bb9044cf554072dd3aa288f435df99963f036a46108ffb00d4705e3e88

Observation 99e55d54-9d0a-4f34-8030-ad7490fc5161 · outbound

This paper cites an unresolved cited work.

Dimer-Enhanced Optimization: A First-Order Approach to Escaping Saddle Points in Neural Network Training Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T13:54:28.567361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T13:54:28.567361Z digest=sha256:abde37dfb63f7e6dcd2c77a1a8f8a3662177fe2865915d72a04d55dbb266333b

Observation 3207cbcb-0a02-4299-992f-f23813393914 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Dimer-Enhanced Optimization: A First-Order Approach to Escaping Saddle Points in Neural Network Training Adam: A Method for Stochastic Optimization

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T13:54:28.571352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T13:54:28.571352Z digest=sha256:f0ebd4a72cde69caa979dc27aba89b359ca17a781b7bef205c3960833e1b6d16

Observation 4d8d8047-05c9-42b0-b178-af2be0488025 · outbound

This paper cites Decoupled Weight Decay Regularization.

Dimer-Enhanced Optimization: A First-Order Approach to Escaping Saddle Points in Neural Network Training Decoupled Weight Decay Regularization

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T13:54:28.575630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T13:54:28.575630Z digest=sha256:0e998f6c0b7a86543bf30ce79f5819c24b190108743ffaa71f6875f0e25e4181

Observation 81e6fe73-e165-4f9f-8212-ef881e49dfac · outbound

This paper cites Enhancing Coherence of Extractive Summarization with Multitask Learning.

Dimer-Enhanced Optimization: A First-Order Approach to Escaping Saddle Points in Neural Network Training Enhancing Coherence of Extractive Summarization with Multitask Learning

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-06T13:54:28.631959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T13:54:28.579702Z digest=sha256:4c9e6c977d1a096b89899cee314124ecf11ea94438d995294be7ec53347aedd8

Observation 540ea6ac-6fad-4194-935f-1b62f0a5a3a0 · outbound

This paper cites an unresolved cited work.

Dimer-Enhanced Optimization: A First-Order Approach to Escaping Saddle Points in Neural Network Training Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T13:54:28.583940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T13:54:28.583940Z digest=sha256:d0e33a0ed1dd22762b1b4e7e9c74a47f62d6781f225a6ffa8a11abf2587e21f1

Observation 8c20d61c-dfe0-46f7-9131-dff48c7cab77 · outbound

This paper cites an unresolved cited work.

Dimer-Enhanced Optimization: A First-Order Approach to Escaping Saddle Points in Neural Network Training Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T13:54:28.809982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T13:54:28.588116Z digest=sha256:8efbf0d8d7d82a990f5344c42eb583adf728ad6bce7c28ff72bfe3988b0a7123

Pith citing papers

No inbound Pith citation observations are available.