Paper Citation Record · LEDGER

Data Augmentation and Regularization for Learning Group Equivariance

As of 10 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2502.06547.

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

pith.paper-citation-record.v1
2502.06547 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:12:22.635088Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T17:20:29.589792Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

18 of 18 outbound references displayed

verified exact2
verified fuzzy13
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 1f0706de-5ab4-44a3-92db-5fb57b24dd91 · outbound

This paper cites Highly accurate protein structure prediction with alphafold,.

Data Augmentation and Regularization for Learning Group Equivariance Highly accurate protein structure prediction with alphafold,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.634324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f45c7e55-a26d-499d-91f6-175dbca7d30e · outbound

This paper cites Group equivariant convolutional net- works,.

Data Augmentation and Regularization for Learning Group Equivariance Group equivariant convolutional net- works,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.619595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b5954f39-9156-4b18-8522-eacf13ad4dfd · outbound

This paper cites Steerable cnns,.

Data Augmentation and Regularization for Learning Group Equivariance Steerable cnns,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.181954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8c56c054-67ab-4ab0-a1d0-56e7dfd6bb63 · outbound

This paper cites A group-theoretic framework for data augmentation,.

Data Augmentation and Regularization for Learning Group Equivariance A group-theoretic framework for data augmentation,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.168061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 971b98d7-1492-4ccc-9e0b-068f6784d572 · outbound

This paper cites On the Benefits of Invariance in Neural Networks.

Data Augmentation and Regularization for Learning Group Equivariance On the Benefits of Invariance in Neural Networks

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-08T15:12:22.579251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd35e48f-47f9-472f-babd-926e816c94c0 · outbound

This paper cites Provably strict generalisation benefit for equivariant models,.

Data Augmentation and Regularization for Learning Group Equivariance Provably strict generalisation benefit for equivariant models,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.153555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6815f1fd-7374-401d-afe3-582a6dbad994 · outbound

This paper cites Implicit bias of linear equivariant networks,.

Data Augmentation and Regularization for Learning Group Equivariance Implicit bias of linear equivariant networks,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.139195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c4aefaf7-ffa9-4bbd-9ad9-37126b44c0bf · outbound

This paper cites On the implicit bias of linear equivariant steerable networks,.

Data Augmentation and Regularization for Learning Group Equivariance On the implicit bias of linear equivariant steerable networks,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.125077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4d304878-8f69-4b8a-bed0-2ac5db90d3df · outbound

This paper cites Accurate structure prediction of biomolecular interactions with alphafold 3,.

Data Augmentation and Regularization for Learning Group Equivariance Accurate structure prediction of biomolecular interactions with alphafold 3,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.110417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5ab3f808-f51d-47a1-91a0-eaf4f674eff3 · outbound

This paper cites Optimization Dynamics of Equivariant and Augmented Neural Networks.

Data Augmentation and Regularization for Learning Group Equivariance Optimization Dynamics of Equivariant and Augmented Neural Networks

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-08T15:12:23.002154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7c069c47-3aa8-4a1b-a195-8c12e9aa0367 · outbound

This paper cites Emergent equivariance in deep ensembles,.

Data Augmentation and Regularization for Learning Group Equivariance Emergent equivariance in deep ensembles,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.094369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2f191bb1-c923-4237-9422-b5f7764ab88f · outbound

This paper cites Symmetries in Overparametrized Neural Networks: A Mean-Field View.

Data Augmentation and Regularization for Learning Group Equivariance Symmetries in Overparametrized Neural Networks: A Mean-Field View

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-08T15:12:22.981359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 28952fd9-8bde-4a90-84c5-7530251d8852 · outbound

This paper cites Ensembles provably learn equivariance through data augmentation,.

Data Augmentation and Regularization for Learning Group Equivariance Ensembles provably learn equivariance through data augmentation,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-08T15:12:22.614222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63eafae9-24a4-40f8-81f8-edff9c5d8de9 · outbound

This paper cites Representation theory,.

Data Augmentation and Regularization for Learning Group Equivariance Representation theory,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.078603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2271da48-a3b7-408c-b827-b19bf73114d0 · outbound

This paper cites Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges.

Data Augmentation and Regularization for Learning Group Equivariance Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-08T15:12:22.622358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec1ba451-e589-4f69-b383-45776db29b5c · outbound

This paper cites Invariant and equivariant graph networks,.

Data Augmentation and Regularization for Learning Group Equivariance Invariant and equivariant graph networks,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.063774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 93e09819-5a0c-465f-a7a1-8ab7588ed05d · outbound

This paper cites A general theory of equivari- ant CNNs on homogeneous spaces,.

Data Augmentation and Regularization for Learning Group Equivariance A general theory of equivari- ant CNNs on homogeneous spaces,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.048694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation edcb82b3-3478-43f3-b177-9819b9b6468d · outbound

This paper cites A practical method for con- structing equivariant multilayer perceptrons for arbitrary matrix groups,.

Data Augmentation and Regularization for Learning Group Equivariance A practical method for con- structing equivariant multilayer perceptrons for arbitrary matrix groups,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:12:23.033878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation ae859af0-2e48-42e1-a080-720e8ac4c507 · inbound

Copositive Matrices with Ordered Off-Diagonal Entries cites this paper.

Copositive Matrices with Ordered Off-Diagonal Entries Data Augmentation and Regularization for Learning Group Equivariance

Reference 293

Resolution: verified exact; arxiv_id, observed 2026-05-20T17:23:36.218554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.