Paper Citation Record · LEDGER

Gradient Descent as a Shrinkage Operator for Spectral Bias

As of 20 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2504.18207.

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

pith.paper-citation-record.v1
2504.18207 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:30:08.782584Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

verified exact0
verified fuzzy23
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a64816cf-7d4e-49ae-ae0d-fff2602b06f0 · outbound

This paper cites Stability and generalization of learning algorithms that converge to global 8 optima.

Gradient Descent as a Shrinkage Operator for Spectral Bias Stability and generalization of learning algorithms that converge to global 8 optima

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.237777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7e62e6ee-df9d-4423-8370-5fb33fda475b · outbound

This paper cites Approximation by superpositions of a sig- moidal function.

Gradient Descent as a Shrinkage Operator for Spectral Bias Approximation by superpositions of a sig- moidal function

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.220842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3f17f610-b158-4711-87cc-70b803b83544 · outbound

This paper cites an unresolved cited work.

Gradient Descent as a Shrinkage Operator for Spectral Bias Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:30:09.205413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 275765a5-b62b-49fa-950a-045e3250449f · outbound

This paper cites Spectral bias in practice: The role of function fre- quency in generalization.

Gradient Descent as a Shrinkage Operator for Spectral Bias Spectral bias in practice: The role of function fre- quency in generalization

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.191065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 03b91e58-7d81-4335-b7de-8c20535fb7ed · outbound

This paper cites Optimal shrinkage of singular values.

Gradient Descent as a Shrinkage Operator for Spectral Bias Optimal shrinkage of singular values

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.176075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d6e3c413-3e88-4406-af69-ec5a6682718d · outbound

This paper cites Stochastic training is not nec- essary for generalization.

Gradient Descent as a Shrinkage Operator for Spectral Bias Stochastic training is not nec- essary for generalization

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.161443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e7827710-4ece-4925-b0d4-cf1aaf6ee72c · outbound

This paper cites Train faster, generalize better: Stability of stochastic gradient descent.

Gradient Descent as a Shrinkage Operator for Spectral Bias Train faster, generalize better: Stability of stochastic gradient descent

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T10:30:08.685172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c064db6-6c01-4510-83e2-93626671bc41 · outbound

This paper cites How Implicit Regularization of ReLU Neural Networks Characterizes the Learned Function -- Part I: the 1-D Case of Two Layers with Random First Layer.

Gradient Descent as a Shrinkage Operator for Spectral Bias How Implicit Regularization of ReLU Neural Networks Characterizes the Learned Function -- Part I: the 1-D Case of Two Layers with Random First Layer

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T10:30:08.689978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7085e4ef-69a3-4ef5-9041-8a152ec5b8b6 · outbound

This paper cites Train longer, generalize better: closing the generalization gap in large batch training of neural networks.

Gradient Descent as a Shrinkage Operator for Spectral Bias Train longer, generalize better: closing the generalization gap in large batch training of neural networks

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.135875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 804cee8c-df77-4973-82e2-40e620a4951c · outbound

This paper cites Neu- ral tangent kernel: Convergence and generalization in neural networks.

Gradient Descent as a Shrinkage Operator for Spectral Bias Neu- ral tangent kernel: Convergence and generalization in neural networks

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.120819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 246ead73-152f-4e3e-a526-06accb66910e · outbound

This paper cites A note on the use of principal components in regression.

Gradient Descent as a Shrinkage Operator for Spectral Bias A note on the use of principal components in regression

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.105496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4b8a08c5-a0ac-435e-8c07-64521ec4d58d · outbound

This paper cites Imagenet classification with deep convolutional neural net- works.

Gradient Descent as a Shrinkage Operator for Spectral Bias Imagenet classification with deep convolutional neural net- works

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.090388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 16de50e3-24f9-4134-9008-f151f952bf4d · outbound

This paper cites Beyond lipschitz: Sharp generalization and excess risk bounds for full-batch gd.

Gradient Descent as a Shrinkage Operator for Spectral Bias Beyond lipschitz: Sharp generalization and excess risk bounds for full-batch gd

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.075503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8899c65a-dd3a-4ed3-874d-83e74c68e2ff · outbound

This paper cites Beyond periodicity: Towards a unifying framework for activations in coordinate- mlps.

Gradient Descent as a Shrinkage Operator for Spectral Bias Beyond periodicity: Towards a unifying framework for activations in coordinate- mlps

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.059660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6d80c98c-c76a-480b-8b7b-879c89d3bcd3 · outbound

This paper cites Smoothing by spline functions.

Gradient Descent as a Shrinkage Operator for Spectral Bias Smoothing by spline functions

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.044344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ebf585bc-e064-4ba7-851c-4c43f7732367 · outbound

This paper cites A sam- pling theory perspective on activations for implicit neural representations.

Gradient Descent as a Shrinkage Operator for Spectral Bias A sam- pling theory perspective on activations for implicit neural representations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.028413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bf5cbe57-aca4-476f-b1e7-20a4388b8456 · outbound

This paper cites Communication in the presence of noise.

Gradient Descent as a Shrinkage Operator for Spectral Bias Communication in the presence of noise

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:09.012544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f3818ca9-db27-4abb-8594-1e18f17e0c60 · outbound

This paper cites Implicit neural representa- tions with periodic activation functions.

Gradient Descent as a Shrinkage Operator for Spectral Bias Implicit neural representa- tions with periodic activation functions

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:08.997872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0f1ca6ee-a80f-4cca-acdd-874e94b1e2c3 · outbound

This paper cites The implicit bias of gradi- ent descent on separable data.

Gradient Descent as a Shrinkage Operator for Spectral Bias The implicit bias of gradi- ent descent on separable data

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:08.982521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f40c872c-3abf-42eb-82eb-2013630d03a3 · outbound

This paper cites Fourier features let networks learn high frequency functions in low dimen- sional domains.

Gradient Descent as a Shrinkage Operator for Spectral Bias Fourier features let networks learn high frequency functions in low dimen- sional domains

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:08.966584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ce5a93c3-d1f8-49dd-80ba-158bf239b339 · outbound

This paper cites Sampling-50 years after shannon.

Gradient Descent as a Shrinkage Operator for Spectral Bias Sampling-50 years after shannon

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:08.950853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 293fc9ca-a1a1-476a-a192-e08acdfd1ab9 · outbound

This paper cites Principles of risk minimization for learn- ing theory.

Gradient Descent as a Shrinkage Operator for Spectral Bias Principles of risk minimization for learn- ing theory

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T10:30:08.755297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efac4bde-15b1-4810-b270-3b77ad71aebe · outbound

This paper cites The “fourier” theory of the cardinal func- tion.

Gradient Descent as a Shrinkage Operator for Spectral Bias The “fourier” theory of the cardinal func- tion

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:08.922909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fcac2a27-0803-4445-96df-3fa10a2f270f · outbound

This paper cites Gradient dynamics of shallow univariate relu networks.

Gradient Descent as a Shrinkage Operator for Spectral Bias Gradient dynamics of shallow univariate relu networks

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:08.906664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 63c8ab11-0ec2-4135-a43c-222cc543b133 · outbound

This paper cites A mathematical analysis of the motion coherence theory.

Gradient Descent as a Shrinkage Operator for Spectral Bias A mathematical analysis of the motion coherence theory

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:08.890784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 36d36d9d-051b-4600-8722-3909c3b02f65 · outbound

This paper cites Understanding deep learning re- quires rethinking generalization.

Gradient Descent as a Shrinkage Operator for Spectral Bias Understanding deep learning re- quires rethinking generalization

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:08.875029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f6daf10a-7a06-43a9-9a18-0245d2be46de · outbound

This paper cites Rethinking Positional Encoding.

Gradient Descent as a Shrinkage Operator for Spectral Bias Rethinking Positional Encoding

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T10:30:08.777697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5595c28e-ea9a-4c7d-aec7-ee9ae904f157 · outbound

This paper cites Trading positional complexity vs deepness in coordinate networks.

Gradient Descent as a Shrinkage Operator for Spectral Bias Trading positional complexity vs deepness in coordinate networks

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:30:08.857993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.