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Paper Citation Record · LEDGER

The merged-staircase property: a necessary and nearly sufficient condition for SGD learning of sparse functions on two-layer neural networks

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2202.08658.

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

pith.paper-citation-record.v1
2202.08658 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:17:37.001723Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T00:45:12.038820Z

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 a0e59c41-770d-4f7d-951f-88d18a6a2832 · inbound

Feature learning is decoupled from generalization in high capacity neural networks cites this paper.

Feature learning is decoupled from generalization in high capacity neural networks The merged-staircase property: a necessary and nearly sufficient condition for SGD learning of sparse functions on two-layer neural networks

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T14:17:37.001723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T14:17:37.001723Z digest=sha256:ee316e591a89b2d8a771e831a9ecec56489aeb983d16dee7009335de8a24d1cb

Observation 6f38898a-8768-424c-8fd2-e4a19fb80ca6 · inbound

A Theory of Saddle Escape in Deep Nonlinear Networks cites this paper.

A Theory of Saddle Escape in Deep Nonlinear Networks The merged-staircase property: a necessary and nearly sufficient condition for SGD learning of sparse functions on two-layer neural networks

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-11T16:51:05.785136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-09T14:54:47.763122Z digest=sha256:86f730fd781695c3d36aa5ba7cb2461f14dc1a4a7842d36c45f1c01b5fc43938

Observation 141806b5-0c36-4873-a22c-67b8d13cf1ad · inbound

A Theory of Saddle Escape in Deep Nonlinear Networks cites this paper.

A Theory of Saddle Escape in Deep Nonlinear Networks The merged-staircase property: a necessary and nearly sufficient condition for SGD learning of sparse functions on two-layer neural networks

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-11T02:25:54.645643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-11T02:22:38.751375Z digest=sha256:64e117228b3dc42fee49a62addd860e5c76f09c0fba36a81a94361434c26db43

Observation ae5a0ef9-d857-401e-bc88-04c06703a9e0 · inbound

A Theory of Saddle Escape in Deep Nonlinear Networks cites this paper.

A Theory of Saddle Escape in Deep Nonlinear Networks The merged-staircase property: a necessary and nearly sufficient condition for SGD learning of sparse functions on two-layer neural networks

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-01T00:45:12.041148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T00:37:16.364388Z digest=sha256:d30d3f433c2c59dbc8267756df20cd764e24c1c2df657aaa5451462a44e9e0b7