Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
A Convergence Analysis of Gradient Descent for Deep Linear Neural Networks
As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:1810.02281.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T17:34:47.155168Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T20:28:55.691977Z
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 556a6891-bb41-464b-97e6-d99aa37af2a7 · inbound
Intrinsic Strain-Driven Topological Evolution in SrRuO3 via Flexural Strain Engineering cites this paper.
Intrinsic Strain-Driven Topological Evolution in SrRuO3 via Flexural Strain Engineering A Convergence Analysis of Gradient Descent for Deep Linear Neural Networks
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T17:34:47.155168Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f7ad0784-5859-42c2-8174-5ccb4cfee4c0 · inbound
Geodesics in the Deep Linear Network cites this paper.
Geodesics in the Deep Linear Network A Convergence Analysis of Gradient Descent for Deep Linear Neural Networks
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T16:51:38.204481Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 053a4bbb-6c8e-4b8c-9d3a-3a594ce5c65d · inbound
EmergentBridge: Improving Zero-Shot Cross-Modal Transfer in Unified Multimodal Embedding Models cites this paper.
EmergentBridge: Improving Zero-Shot Cross-Modal Transfer in Unified Multimodal Embedding Models A Convergence Analysis of Gradient Descent for Deep Linear Neural Networks
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T09:41:01.982909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 8f5047d6-6ab9-412d-a1cd-d3f072b02b71 · inbound
EmergentBridge: Improving Zero-Shot Cross-Modal Transfer in Unified Multimodal Embedding Models cites this paper.
EmergentBridge: Improving Zero-Shot Cross-Modal Transfer in Unified Multimodal Embedding Models A Convergence Analysis of Gradient Descent for Deep Linear Neural Networks
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T07:17:28.675255Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f7aad59b-0808-4ea6-8266-932c849b1a75 · inbound
The Implicit Bias of Depth: From Neural Collapse to Softmax Codes cites this paper.
The Implicit Bias of Depth: From Neural Collapse to Softmax Codes A Convergence Analysis of Gradient Descent for Deep Linear Neural Networks
Reference 61
- Resolution
- verified exact
- arxiv_id, observed 2026-05-25T05:26:38.876950Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 0854d5c6-788d-464e-9bbf-cab7aa89dd91 · inbound
Conservation Laws for Modern Neural Architectures cites this paper.
Conservation Laws for Modern Neural Architectures A Convergence Analysis of Gradient Descent for Deep Linear Neural Networks
Reference 2
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-03T20:08:55.235673Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 884a32d0-aa9f-499c-97dc-876e8ff502b2 · inbound
Monotonic Kolmogorov-Arnold Networks: A Theoretical and Empirical Study of Monotonicity as an Inductive Bias cites this paper.
Monotonic Kolmogorov-Arnold Networks: A Theoretical and Empirical Study of Monotonicity as an Inductive Bias A Convergence Analysis of Gradient Descent for Deep Linear Neural Networks
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T20:28:55.693580Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 8f421669-c9b0-4bb9-96e3-7a41559a4b0c · inbound
How are linear representations learned? Exact solutions to the dynamics of abstraction cites this paper.
How are linear representations learned? Exact solutions to the dynamics of abstraction A Convergence Analysis of Gradient Descent for Deep Linear Neural Networks
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-07-13T06:19:30.027337Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c3025be4-ec25-4bc6-842e-3d5785ca882a · inbound
Differentiable Approximations for Distance Queries cites this paper.
Differentiable Approximations for Distance Queries A Convergence Analysis of Gradient Descent for Deep Linear Neural Networks
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T01:34:29.562169Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.