Paper Citation Record · LEDGER

Beyond the Quadratic Approximation: the Multiscale Structure of Neural Network Loss Landscapes

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2204.11326.

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

pith.paper-citation-record.v1
2204.11326 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T18:24:51.234132Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T23:57:29.102032Z

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 f5136e04-f5ce-42ff-ab9b-3afe1d2fcd84 · inbound

Criteria and Bias of Parameterized Linear Regression under Edge of Stability Regime cites this paper.

Criteria and Bias of Parameterized Linear Regression under Edge of Stability Regime Beyond the Quadratic Approximation: the Multiscale Structure of Neural Network Loss Landscapes

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T18:24:51.234132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd1d3d06-85ea-4a2d-8503-0eb99370ce27 · inbound

From Logistic Regression to the Perceptron Algorithm: Exploring Gradient Descent with Large Step Sizes cites this paper.

From Logistic Regression to the Perceptron Algorithm: Exploring Gradient Descent with Large Step Sizes Beyond the Quadratic Approximation: the Multiscale Structure of Neural Network Loss Landscapes

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T18:02:14.689511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b0dce63-23c9-47c6-beab-03a4ba681c58 · inbound

On the Stability of Nonlinear Dynamics in GD and SGD: Beyond Quadratic Potentials cites this paper.

On the Stability of Nonlinear Dynamics in GD and SGD: Beyond Quadratic Potentials Beyond the Quadratic Approximation: the Multiscale Structure of Neural Network Loss Landscapes

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T23:10:23.605361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab6f59cc-c112-4727-888d-f4d0bf3f2361 · inbound

From Nonsmooth Minima to Smooth Branches via Heat Kernel Regularization cites this paper.

From Nonsmooth Minima to Smooth Branches via Heat Kernel Regularization Beyond the Quadratic Approximation: the Multiscale Structure of Neural Network Loss Landscapes

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-10T22:25:50.089981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 74323785-6718-47a2-9090-e46e88154b6b · inbound

Understanding Quantization-Aware Training: Gradients at Quantized Weights Bias to the Low-Loss Basin cites this paper.

Understanding Quantization-Aware Training: Gradients at Quantized Weights Bias to the Low-Loss Basin Beyond the Quadratic Approximation: the Multiscale Structure of Neural Network Loss Landscapes

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-02T23:57:29.103438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4195e5f4-50c2-4a5e-8115-da8e099762f5 · 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 Beyond the Quadratic Approximation: the Multiscale Structure of Neural Network Loss Landscapes

Reference 161

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.