Paper Citation Record · LEDGER

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates

As of 9 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2607.22927.

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

pith.paper-citation-record.v1
2607.22927 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:13:36.954559Z

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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T04:26:01.477422Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T06:16:17.936174Z

Reference resolution

14 of 14 outbound references displayed

verified exact0
verified fuzzy0
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 030f0212-09f3-4fcf-a400-0e37a7f9ae96 · outbound

This paper cites Proceedings of the 49th Annual Meeting of the Association for Computational Linguistics: Human Language Technologies , pages=.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Proceedings of the 49th Annual Meeting of the Association for Computational Linguistics: Human Language Technologies , pages=

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:34.277408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c292809-d523-45a6-8e6a-fba7fc19b269 · outbound

This paper cites Neural Computation , volume=.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Neural Computation , volume=

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:34.660570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6b0fe7b-ba3c-4c06-ba86-3e0ad17ae812 · outbound

This paper cites Natural gradient works efficiently in learning.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Natural gradient works efficiently in learning

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:35.445569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd53821f-ff1a-4c94-9cfb-f1d3dd9cb716 · outbound

This paper cites Layer Normalization.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Layer Normalization

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:35.553019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af7495fd-f978-47f7-8adc-93e2fd2354d1 · outbound

This paper cites The affine divergence: Aligning activation updates beyond normalisation.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates The affine divergence: Aligning activation updates beyond normalisation

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:35.685211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c89bb107-4a74-4da9-85e9-54f0c9ed3db2 · outbound

This paper cites Natural Neural Networks.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Natural Neural Networks

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:35.811113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34177eb4-f840-4373-b1ea-fb8b7925d3fd · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Adam: A Method for Stochastic Optimization

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:35.956895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b6551bb-5ff9-4ec0-9b14-dc0d77642b5b · outbound

This paper cites Linearly Constrained Weights: Reducing Activation Shift for Faster Training of Neural Networks.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Linearly Constrained Weights: Reducing Activation Shift for Faster Training of Neural Networks

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:36.073795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02ce315e-2ace-4d5a-9e2b-3d90b867e09f · outbound

This paper cites Muon is Scalable for LLM Training.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Muon is Scalable for LLM Training

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:36.237337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2aabbd9c-2c0e-42df-b4a3-12cc61c64ba4 · outbound

This paper cites Decoupled Weight Decay Regularization.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Decoupled Weight Decay Regularization

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:36.374236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6310739-c25a-4987-a9a0-cc43b95173ce · outbound

This paper cites Maas, Raymond E.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Maas, Raymond E

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:36.543297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9275b8f9-8b57-443a-8a9b-c95423581b68 · outbound

This paper cites Optimizing Neural Networks with Kronecker-factored Approximate Curvature.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Optimizing Neural Networks with Kronecker-factored Approximate Curvature

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:36.729478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3427efe-cb83-4a03-ba55-0f4b82049191 · outbound

This paper cites Attention Is All You Need.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Attention Is All You Need

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:36.850446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3984f255-1259-4673-b55d-f8716771a73b · outbound

This paper cites Gradient Centralization: A New Optimization Technique for Deep Neural Networks.

Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates Gradient Centralization: A New Optimization Technique for Deep Neural Networks

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T04:13:36.954559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation cc07025b-f382-4791-b9d2-1fecd819a3fe · inbound

Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon cites this paper.

Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates

Reference 8

Resolution: metadata mismatch; local_arxiv, observed 2026-08-08T04:26:01.549187Z

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.