Paper Citation Record · LEDGER

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors

As of 9 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.18422.

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

pith.paper-citation-record.v1
2607.18422 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:35:25.936760Z

measured 15 of 15 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 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

15 of 15 outbound references displayed

verified exact0
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5e63aa1f-f676-45b0-8a7e-0acb0f9824dc · outbound

This paper cites Understanding and inverse design of implicit bias in stochastic learning: a geometric perspective.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors Understanding and inverse design of implicit bias in stochastic learning: a geometric perspective

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:24.756492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bba359f4-e947-4753-9606-1fc1a34c5940 · outbound

This paper cites Parameter Symmetry Potentially Unifies Deep Learning Theory.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors Parameter Symmetry Potentially Unifies Deep Learning Theory

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:24.823836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e9e472c-d231-4930-b956-4efe3faa8b09 · outbound

This paper cites Some pac-bayesian theorems.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors Some pac-bayesian theorems

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:24.908390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96130cd1-79ec-4e4d-903f-ef6c2f2545ab · outbound

This paper cites A PAC-Bayesian Tutorial with A Dropout Bound.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors A PAC-Bayesian Tutorial with A Dropout Bound

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:24.979316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4f827f3-4962-4ce7-b145-a346ea952806 · outbound

This paper cites PAC-Bayesian stochastic model selection.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors PAC-Bayesian stochastic model selection

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:25.136960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a135caa6-032e-4e9b-9cd9-606d602acc77 · outbound

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

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors On the Benefits of Invariance in Neural Networks

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:25.250224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5d3ab07-ebb5-4a90-81e0-5fd8823f49fb · outbound

This paper cites PAC-Bayesian generalisation error boundsforGaussianprocessclassification.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors PAC-Bayesian generalisation error boundsforGaussianprocessclassification

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:25.328253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c838f53c-dcc0-4b4d-b761-d8dca99ebf00 · outbound

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

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors Pac-Bayesian Supervised Classification: The Thermodynamics of Statistical Learning

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:25.411820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6678b2e2-be3e-4664-a134-022c79e14a5c · outbound

This paper cites On the properties of variational approximations of Gibbs posteriors.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors On the properties of variational approximations of Gibbs posteriors

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:25.486471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f54d1269-b11c-4bee-b03b-19b59d49a310 · outbound

This paper cites Improved PAC-Bayesian bounds for linear regression.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors Improved PAC-Bayesian bounds for linear regression

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:25.571818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13b5412d-6cee-48d7-8720-2d3ccf0b8172 · outbound

This paper cites Symmetry in neural network parameter spaces.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors Symmetry in neural network parameter spaces

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:25.627734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27cbe6cc-3b1e-4900-b7fe-ef4c44e80a2f · outbound

This paper cites Geometry of the loss landscape in overparameterized neural networks: Symmetries and invariances.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors Geometry of the loss landscape in overparameterized neural networks: Symmetries and invariances

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:25.716523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 327017e2-4b98-4a40-aa0f-8d33065c11d2 · outbound

This paper cites Improving convergence and general- ization using parameter symmetries.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors Improving convergence and general- ization using parameter symmetries

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:25.784286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40f6e9ae-ac59-4f48-9c37-242115a065f3 · outbound

This paper cites On the symmetries of deep learning models and their internal representations.

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors On the symmetries of deep learning models and their internal representations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:25.867649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Symmetries in PAC-Bayesian Learning.

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.

Pith citing papers

No inbound Pith citation observations are available.