Paper Citation Record · LEDGER

Symmetries in PAC-Bayesian Learning

As of 9 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2510.17303.

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

pith.paper-citation-record.v1
2510.17303 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:11:51.685855Z

measured 31 of 31 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 2026-08-01T15:35:25.936760Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

verified exact4
verified fuzzy0
unresolved22
parse uncertain0
malformed identifier4
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e7012f35-038f-4011-baa2-fd1f9b1f84d0 · outbound

This paper cites User-Friendly Introduction to PAC-Bayes Bounds.

Symmetries in PAC-Bayesian Learning User-Friendly Introduction to PAC-Bayes Bounds

Reference 1

Resolution: verified exact; doi, observed 2026-08-04T09:13:21.217302Z

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 2305d756-f32a-428d-96c1-e1fb1c4082e8 · outbound

This paper cites Stronger Generalization Bounds for Deep Nets via a Compression Approach.

Symmetries in PAC-Bayesian Learning Stronger Generalization Bounds for Deep Nets via a Compression Approach

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:49.352944Z

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Observation d284019c-8ddd-4d32-ba1f-0f7d9812d073 · outbound

This paper cites Convolutional Neural Networks Are Not Invariant to Translation, but They Can Learn to Be.

Symmetries in PAC-Bayesian Learning Convolutional Neural Networks Are Not Invariant to Translation, but They Can Learn to Be

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:49.427212Z

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Observation 6ef19916-81fe-464e-ab4c-cc28edb1a866 · outbound

This paper cites Probabilistic symmetries and invariant neural networks.

Symmetries in PAC-Bayesian Learning Probabilistic symmetries and invariant neural networks

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:49.452374Z

Source-reported events for the cited work

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Observation a3ea4adc-c5dd-4ce4-9ca1-a2d934e9126f · outbound

This paper cites PAC-Bayesian Supervised Classification: The Thermodynamics of Statistical Learning.

Symmetries in PAC-Bayesian Learning PAC-Bayesian Supervised Classification: The Thermodynamics of Statistical Learning

Reference 5

Resolution: verified exact; doi, observed 2026-08-04T09:13:20.975920Z

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 391d5bd5-5f90-4e2e-94cc-022dc15050d2 · outbound

This paper cites Group Equivariant Convolutional Networks.

Symmetries in PAC-Bayesian Learning Group Equivariant Convolutional Networks

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:49.584206Z

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Observation c71d6cdf-b08c-45c8-8920-be03d7bbfe97 · outbound

This paper cites A General Theory of Equivariant CNNs on Homoge- neous Spaces.

Symmetries in PAC-Bayesian Learning A General Theory of Equivariant CNNs on Homoge- neous Spaces

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:49.649653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83d7a6a3-d340-423a-9146-32aa6becd7a4 · outbound

This paper cites Steerable CNNs.

Symmetries in PAC-Bayesian Learning Steerable CNNs

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:49.699708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b44a72c-d1a1-4fd1-90e2-b1f9700e3278 · outbound

This paper cites Computing Nonvacuous Generalization Bounds for Deep (Stochastic) Neural Networks with Many More Parameters than Training Data.

Symmetries in PAC-Bayesian Learning Computing Nonvacuous Generalization Bounds for Deep (Stochastic) Neural Networks with Many More Parameters than Training Data

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:49.780212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e680cbd9-a3cd-490c-a56f-d4745d770179 · outbound

This paper cites Group Symmetry in PAC Learning.

Symmetries in PAC-Bayesian Learning Group Symmetry in PAC Learning

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:49.834169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25419129-3fbb-487d-94b2-7d0afcb10293 · outbound

This paper cites Provably Strict Generalisation Benefit for Equivariant Models.

Symmetries in PAC-Bayesian Learning Provably Strict Generalisation Benefit for Equivariant Models

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:49.892147Z

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Unavailable: canonical work link unavailable.

Observation 7ed595b3-9246-4232-9779-1c10ab6f33dd · outbound

This paper cites PAC-Bayesian Learning of Linear Classifiers.

Symmetries in PAC-Bayesian Learning PAC-Bayesian Learning of Linear Classifiers

Reference 12

Resolution: malformed identifier; no resolver link, observed 2026-08-04T09:11:49.912939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c189d4d4-ccd0-4750-bd6d-fdc52469299e · outbound

This paper cites an unresolved cited work.

Symmetries in PAC-Bayesian Learning Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:49.938577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 627eb787-2e62-4450-abd0-ab4a573cc5d3 · outbound

This paper cites Kechris.Classical Descriptive Set Theory.

Symmetries in PAC-Bayesian Learning Kechris.Classical Descriptive Set Theory

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:49.966002Z

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Observation 4bfc3a88-8acb-46d7-881c-ae8b25044bda · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Symmetries in PAC-Bayesian Learning Adam: A Method for Stochastic Optimization

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:50.035447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d8b9293-25b9-49d0-af7e-24854340fd38 · outbound

This paper cites On the Generalization of Equivariance and Convolution in Neu- ral Networks to the Action of Compact Groups.

Symmetries in PAC-Bayesian Learning On the Generalization of Equivariance and Convolution in Neu- ral Networks to the Action of Compact Groups

Reference 16

Resolution: malformed identifier; no resolver link, observed 2026-08-04T09:11:50.127941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcaf88e6-9d92-4c7b-a092-2949daa627cf · outbound

This paper cites PAC-Bayes & Margins.

Symmetries in PAC-Bayesian Learning PAC-Bayes & Margins

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:50.212971Z

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Observation 3086d3a9-a682-4125-9d17-eda1751dc4ab · outbound

This paper cites An Empirical Evaluation of Deep Architectures on Problems with Many Factors of Variation.

Symmetries in PAC-Bayesian Learning An Empirical Evaluation of Deep Architectures on Problems with Many Factors of Variation

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:50.314652Z

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Unavailable: canonical work link unavailable.

Observation b0fcdae5-2128-4657-a599-3b792151a047 · outbound

This paper cites An Analysis of the Effect of Invariance on Generalization in Neural Networks.

Symmetries in PAC-Bayesian Learning An Analysis of the Effect of Invariance on Generalization in Neural Networks

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:50.469788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b837b52-5de0-4761-924d-3258f8ffe7d7 · outbound

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

Symmetries in PAC-Bayesian Learning On the Benefits of Invariance in Neural Networks

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:50.522993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17cfe287-2f44-4029-bc67-435e39ac53db · outbound

This paper cites A Note on the PAC-Bayesian Theorem.

Symmetries in PAC-Bayesian Learning A Note on the PAC-Bayesian Theorem

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:50.605498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07d2ae1e-63ff-478a-bab6-1897ee918fa2 · outbound

This paper cites Simplified PAC-Bayesian Margin Bounds.

Symmetries in PAC-Bayesian Learning Simplified PAC-Bayesian Margin Bounds

Reference 22

Resolution: malformed identifier; no resolver link, observed 2026-08-04T09:11:50.721911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20ff08d9-c338-48d6-aee0-847ee3c1e71c · outbound

This paper cites PAC-Bayesian Stochastic Model Selection.

Symmetries in PAC-Bayesian Learning PAC-Bayesian Stochastic Model Selection

Reference 23

Resolution: verified exact; doi, observed 2026-08-04T09:13:20.631113Z

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 539343d5-05b6-48dc-93f7-65a241e3e7c4 · outbound

This paper cites Some PAC-Bayesian Theorems.

Symmetries in PAC-Bayesian Learning Some PAC-Bayesian Theorems

Reference 24

Resolution: verified exact; doi, observed 2026-08-04T09:13:20.485146Z

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 ea35c54c-a062-4e6d-9935-ed6bc1f8b827 · outbound

This paper cites Ab initio Solution of the Many-Electron Schrödinger Equation with Deep Neural Networks.

Symmetries in PAC-Bayesian Learning Ab initio Solution of the Many-Electron Schrödinger Equation with Deep Neural Networks

Reference 25

Resolution: malformed identifier; no resolver link, observed 2026-08-04T09:11:51.043392Z

Source-reported events for the cited work

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Observation f17563b0-dc0d-4571-ae9c-d13deba1f40d · outbound

This paper cites PAC-Bayesian Generalisation Error Bounds for Gaussian Process Classification.

Symmetries in PAC-Bayesian Learning PAC-Bayesian Generalisation Error Bounds for Gaussian Process Classification

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:51.157008Z

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Observation 8438d68c-7184-4a8e-b657-2a91dda30cd6 · outbound

This paper cites PAC-Bayes–Empirical–Bernstein Inequality.

Symmetries in PAC-Bayesian Learning PAC-Bayes–Empirical–Bernstein Inequality

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:51.277810Z

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Observation c3549b18-279b-40b8-b4f1-b241163ef2bb · outbound

This paper cites General E(2)-Equivariant Steerable CNNs.

Symmetries in PAC-Bayesian Learning General E(2)-Equivariant Steerable CNNs

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:51.424784Z

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Observation 0c978d90-f183-4d12-aa62-a5d834cecc55 · outbound

This paper cites 3D Steerable CNNs: Learning Rotationally Equivariant Features in Volumetric Data.

Symmetries in PAC-Bayesian Learning 3D Steerable CNNs: Learning Rotationally Equivariant Features in Volumetric Data

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:51.531548Z

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Observation 56b2ef86-0e00-41da-97fd-bb5d6734734f · outbound

This paper cites Non-Vacuous Generalization Bounds at the ImageNet Scale: A PAC-Bayesian Com- pression Approach.

Symmetries in PAC-Bayesian Learning Non-Vacuous Generalization Bounds at the ImageNet Scale: A PAC-Bayesian Com- pression Approach

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T09:11:51.685855Z

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Pith citing papers

Observation 50a90510-6290-4940-abd3-6bfc49482b21 · inbound

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors cites this paper.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors Symmetries in PAC-Bayesian Learning

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:25.936760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.