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Paper Citation Record · LEDGER

Direction Matters: On the Implicit Bias of Stochastic Gradient Descent with Moderate Learning Rate

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2011.02538.

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

pith.paper-citation-record.v1
2011.02538 v2

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 2026-08-02T02:05:04.986651Z

measured 0 of 1 external citation measurements

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

Source: cited_works

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 6e080fac-f53c-4614-ac00-a21edd901d6b · inbound

Implicit Bias of SGD in Multivariate ReLU Networks: Effective Width Collapse cites this paper.

Implicit Bias of SGD in Multivariate ReLU Networks: Effective Width Collapse Direction Matters: On the Implicit Bias of Stochastic Gradient Descent with Moderate Learning Rate

Reference 297

Resolution
unresolved
no resolver link, observed 2026-07-12T01:11:50.444218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T01:11:50.444218Z digest=sha256:31d0cd2b2559554e4d42419db1349fcd87f76672c898ed57d8413b5a631fbd0d

Observation 6e2d6ee1-f40e-4f53-bb62-55ed31f1265f · inbound

Interleaved Noise Injection Improves Clean, Corrupted, and OOD Performance cites this paper.

Interleaved Noise Injection Improves Clean, Corrupted, and OOD Performance Direction Matters: On the Implicit Bias of Stochastic Gradient Descent with Moderate Learning Rate

Reference 2010

Resolution
unresolved
no resolver link, observed 2026-08-02T02:05:04.986651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:05:04.986651Z digest=sha256:ec31f2c8d870a87627dc5c64f341d57698c80c3884ca4a179e83feeb63229f53