Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:18:20.824254Z
Paper Citation Record · LEDGER
On the Stability of the Jacobian Matrix in Deep Neural Networks
As of 15 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 3 inbound Pith citation observations for arXiv:2506.08764.
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 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-04T01:11:42.073993Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-04T01:19:20.335405Z
Reference resolution
13 of 13 outbound references displayed
- verified exact1
- verified fuzzy4
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4af56b97-2e9c-499f-8943-95f49c0cb3d7 · outbound
This paper cites On spectral outliers of inhomogeneous symmetric random matrices.
On the Stability of the Jacobian Matrix in Deep Neural Networks On spectral outliers of inhomogeneous symmetric random matrices
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:18:21.057363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 07e3121f-ed1b-42cc-ba76-bbb287b8f68b · outbound
This paper cites Measuring the Intrinsic Dimension of Objective Landscapes.
On the Stability of the Jacobian Matrix in Deep Neural Networks Measuring the Intrinsic Dimension of Objective Landscapes
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:18:19.896320Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bfd35b00-d22f-442a-a6b9-b8119e254891 · outbound
This paper cites All you need is a good init.
On the Stability of the Jacobian Matrix in Deep Neural Networks All you need is a good init
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:18:20.055035Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85d40705-a005-4746-ac8e-fdbfbe8bb160 · outbound
This paper cites Pennington, S.
On the Stability of the Jacobian Matrix in Deep Neural Networks Pennington, S
Reference 110
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:18:21.747381Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 59159679-eeee-4227-a5e6-eef9eb37ae43 · outbound
This paper cites Elementary inequalities for Mills’ ratio.
On the Stability of the Jacobian Matrix in Deep Neural Networks Elementary inequalities for Mills’ ratio
Reference 1995
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:18:21.905632Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation aa3833bf-7fcf-44b6-bd98-90b79a8a9561 · outbound
This paper cites an unresolved cited work.
On the Stability of the Jacobian Matrix in Deep Neural Networks Unresolved cited work
Reference 2011
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:18:21.529581Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 89182360-af73-4590-987d-c56808dfab30 · outbound
This paper cites Brailovskaya and R.
On the Stability of the Jacobian Matrix in Deep Neural Networks Brailovskaya and R
Reference 2013
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:18:22.594796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9c6f984c-8e36-41a5-b552-3ee51e790823 · outbound
This paper cites an unresolved cited work.
On the Stability of the Jacobian Matrix in Deep Neural Networks Unresolved cited work
Reference 2016
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:18:21.297806Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6d4e829b-39cb-4a4c-9019-36e1c79d3e98 · outbound
This paper cites Exact solutions to the nonlinear dynamics of learning in deep linear neural networks.
On the Stability of the Jacobian Matrix in Deep Neural Networks Exact solutions to the nonlinear dynamics of learning in deep linear neural networks
Reference 2017
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:18:20.455650Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e012a80-9395-47d9-a031-3d75ea8ccd43 · outbound
This paper cites LeCun, Y.
On the Stability of the Jacobian Matrix in Deep Neural Networks LeCun, Y
Reference 2018
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:18:22.075096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation dd39dac2-b5be-4486-80d9-dbd4f0469b40 · outbound
This paper cites an unresolved cited work.
On the Stability of the Jacobian Matrix in Deep Neural Networks Unresolved cited work
Reference 2019
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:18:22.315644Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4dfb54e9-3d68-49a6-90be-c86fb8172e14 · outbound
This paper cites Tensor Programs I: Wide Feedforward or Recurrent Neural Networks of Any Architecture are Gaussian Processes.
On the Stability of the Jacobian Matrix in Deep Neural Networks Tensor Programs I: Wide Feedforward or Recurrent Neural Networks of Any Architecture are Gaussian Processes
Reference 2020
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:18:20.824254Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58702b47-c3ab-4668-b910-93f8bc872581 · outbound
This paper cites Adam: A Method for Stochastic Optimization.
On the Stability of the Jacobian Matrix in Deep Neural Networks Adam: A Method for Stochastic Optimization
Reference 2021
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:18:19.647546Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 1f50e07d-5b69-44e4-a45b-8a442468f7ee · inbound
Geometric Asymmetry in MoE Specialization: Functional Decorrelation and Representational Overlap cites this paper.
Geometric Asymmetry in MoE Specialization: Functional Decorrelation and Representational Overlap On the Stability of the Jacobian Matrix in Deep Neural Networks
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-06-19T17:10:43.390603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c1a056dc-6fe0-4081-a84c-d6a0bd88f822 · inbound
Omni-DuplexEval: Evaluating Real-time Duplex Omni-modal Interaction cites this paper.
Omni-DuplexEval: Evaluating Real-time Duplex Omni-modal Interaction On the Stability of the Jacobian Matrix in Deep Neural Networks
Reference 43
- Resolution
- verified exact
- arxiv_id, observed 2026-06-19T17:10:43.390603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4843378e-a512-4f2c-b6fd-853c1e06426a · inbound
Omni-DuplexEval: Evaluating Real-time Duplex Omni-modal Interaction cites this paper.
Omni-DuplexEval: Evaluating Real-time Duplex Omni-modal Interaction On the Stability of the Jacobian Matrix in Deep Neural Networks
Reference 43
- Resolution
- verified exact
- local_arxiv, observed 2026-07-04T01:19:20.337313Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.