Paper Citation Record · LEDGER

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion

As of 11 August 2026, this Paper Citation Record lists 100 of 101 outbound references and 4 inbound Pith citation observations for arXiv:2502.00264.

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

pith.paper-citation-record.v1
2502.00264 v2

Coverage vector

measured 100 of 101 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T19:44:21.097412Z

measured 104 of 104 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:34:51.331297Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T10:39:45.071517Z

Reference resolution

100 of 101 outbound references displayed

verified exact2
verified fuzzy41
unresolved57
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ecfa3128-87f4-474c-b522-0da9ec074888 · outbound

This paper cites Git re-basin: Merging models modulo permutation symmetries.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Git re-basin: Merging models modulo permutation symmetries

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.564384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b0e67e0-61d5-49ce-aff7-1cf04660f678 · outbound

This paper cites and Jodoin, P.-M.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion and Jodoin, P.-M

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.569562Z

Source-reported events for the cited work

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Observation cd7a5b1d-3355-41a5-b063-ce45dd141fed · outbound

This paper cites Ensemble of averages: Improving model selection and boosting performance in domain generalization.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Ensemble of averages: Improving model selection and boosting performance in domain generalization

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.575225Z

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Observation e27fa703-33d8-4ce7-8913-5806fb98916b · outbound

This paper cites Layer Normalization.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Layer Normalization

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.580106Z

Source-reported events for the cited work

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Observation 7331a746-94f5-48f0-b9f4-01a8e2d9d90b · outbound

This paper cites Symmetry-invariant optimization in deep networks.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Symmetry-invariant optimization in deep networks

Reference 5

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Source-reported events for the cited work

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Observation bad5ec29-e458-4316-9fde-286b2f8efe07 · outbound

This paper cites an unresolved cited work.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.592107Z

Source-reported events for the cited work

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Observation 561633e0-644c-494c-95ab-4d0a19569666 · outbound

This paper cites and Klinger, R.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion and Klinger, R

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.598186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c81f3d45-98b9-4b92-b846-a09c76a88315 · outbound

This paper cites Weight-space symmetry in deep networks gives rise to permutation saddles, connected by equal-loss valleys across the loss landscape.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Weight-space symmetry in deep networks gives rise to permutation saddles, connected by equal-loss valleys across the loss landscape

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.603005Z

Source-reported events for the cited work

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Observation f6604e74-1511-4393-aad4-7a46b40889db · outbound

This paper cites D., Dhariwal, P., Neelakantan, A., Shyam, P., Sastry, G., Askell, A., et al.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion D., Dhariwal, P., Neelakantan, A., Shyam, P., Sastry, G., Askell, A., et al

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.609457Z

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Observation 76a104ee-c481-4e5d-97d4-3aeca706bc4d · outbound

This paper cites an unresolved cited work.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.614564Z

Source-reported events for the cited work

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Observation 50c2b045-cab7-46d6-b0a8-bb09fe4643ea · outbound

This paper cites Swad: Domain generalization by seeking flat minima.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Swad: Domain generalization by seeking flat minima

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.618979Z

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Observation 865c329d-5439-4f9e-a640-63e5e7e8f7b1 · outbound

This paper cites Fusing finetuned models for better pretraining.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Fusing finetuned models for better pretraining

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.624731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea87dcfa-bd53-4f38-a11b-54412b942bb2 · outbound

This paper cites V., and Manning, C.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion V., and Manning, C

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.629756Z

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Observation 35c3441f-dc36-46bc-b424-d8514ca8020a · outbound

This paper cites an unresolved cited work.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.634237Z

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Observation 8cf6c8da-b1e3-40e2-90b6-745a7e538d94 · outbound

This paper cites Bert: Pre-training of deep bidirectional transformers for language understanding.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Bert: Pre-training of deep bidirectional transformers for language understanding

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.638635Z

Source-reported events for the cited work

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Observation 7e9fec02-e709-4acf-bb95-d1d3ee4b3005 · outbound

This paper cites an unresolved cited work.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.642848Z

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Observation 357afd93-62e3-488d-82a0-8a1bdee5ac17 · outbound

This paper cites A survey on ensemble learning.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion A survey on ensemble learning

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.646846Z

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Observation 803eb7dd-fd0d-4719-9b12-00cb648cdd76 · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.651126Z

Source-reported events for the cited work

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Observation c248e0ac-9417-4d39-9487-15b899ec07ce · outbound

This paper cites S., Hu, W., and Lee, J.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion S., Hu, W., and Lee, J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.656356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eca5c0eb-8d8e-4bb6-a065-37b3437611f1 · outbound

This paper cites The role of permutation invariance in linear mode connectivity of neural networks.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion The role of permutation invariance in linear mode connectivity of neural networks

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.660861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3192bc5-47c0-472a-89b0-81c3acda4270 · outbound

This paper cites Proving linear mode connectivity of neural networks via optimal transport.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Proving linear mode connectivity of neural networks via optimal transport

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.665316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36f5355c-23ae-4563-b756-2712eb3a6353 · outbound

This paper cites and Amari, S.-i.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion and Amari, S.-i

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.669604Z

Source-reported events for the cited work

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Observation e762f9b6-44d8-4d0b-bfa2-b8ea75649f0c · outbound

This paper cites Deep sparse rectifier neural networks.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Deep sparse rectifier neural networks

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.673929Z

Source-reported events for the cited work

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Observation a2fcf8c6-d167-4fac-b8ac-4f592eefcf54 · outbound

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

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion On the symmetries of deep learning models and their internal representations

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.678361Z

Source-reported events for the cited work

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Observation 0d2048ed-740f-419e-a61b-87c105d22854 · outbound

This paper cites an unresolved cited work.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.682652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6893be8-47b3-48a8-a107-86869f133300 · outbound

This paper cites Hidden symmetries of relu networks.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Hidden symmetries of relu networks

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.686749Z

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Observation aef45f0c-ac87-47e1-8413-5994e00c8053 · outbound

This paper cites A., and DeCoste, D.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion A., and DeCoste, D

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.479580Z

Source-reported events for the cited work

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Observation 83528031-835f-4852-8f7b-96df32de7d7d · outbound

This paper cites Model merging and safety alignment: One bad model spoils the bunch.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Model merging and safety alignment: One bad model spoils the bunch

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.463257Z

Source-reported events for the cited work

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Observation c74957ab-fc47-48e3-8d6a-1542ab203651 · outbound

This paper cites Deep residual learning for image recognition.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Deep residual learning for image recognition

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.700299Z

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Observation 51106918-7806-4bff-8aa4-c02c09f84b82 · outbound

This paper cites Deberta: Decoding-enhanced bert with disentangled attention, 2021.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Deberta: Decoding-enhanced bert with disentangled attention, 2021

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.435906Z

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Observation cb74234e-05cd-4457-b399-05ddec109855 · outbound

This paper cites Explaining graph neural networks with large language models: A counterfactual perspective on molecule graphs.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Explaining graph neural networks with large language models: A counterfactual perspective on molecule graphs

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.417683Z

Source-reported events for the cited work

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Observation 4980425f-d01c-4ea4-945f-87ca22626206 · outbound

This paper cites On the algebraic structure of feedforward network weight spaces.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion On the algebraic structure of feedforward network weight spaces

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.399998Z

Source-reported events for the cited work

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Observation 25aeea0b-cb9e-4a4a-b71e-5b80a90b6634 · outbound

This paper cites O nto N otes: The 90 \ In Moore, R.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion O nto N otes: The 90 \ In Moore, R

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.382351Z

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Observation b58e1aae-219d-45da-bb54-99399d9adc48 · outbound

This paper cites Emr-merging: Tuning-free high-performance model merging.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Emr-merging: Tuning-free high-performance model merging

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.365387Z

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Observation 1df5214a-177b-492d-84e0-a5dde93e8526 · outbound

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Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 35

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Observation 54ada3e8-aad8-4304-8268-fe673808f3bb · outbound

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Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 36

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Observation ba09ea98-c418-49ea-8286-6fdfd3becde1 · outbound

This paper cites Dataless knowledge fusion by merging weights of language models.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Dataless knowledge fusion by merging weights of language models

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.314485Z

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Observation ec03ee57-5a99-4b43-8329-3079635ae878 · outbound

This paper cites A solution for the best rotation to relate two sets of vectors.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion A solution for the best rotation to relate two sets of vectors

Reference 38

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This paper cites Scale equivariant graph metanetworks.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Scale equivariant graph metanetworks

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.287067Z

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Observation ea272075-6123-4ecb-a3fe-f0845d198249 · outbound

This paper cites Federated Learning: Strategies for Improving Communication Efficiency.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Federated Learning: Strategies for Improving Communication Efficiency

Reference 40

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This paper cites Learning multiple layers of features from tiny images.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Learning multiple layers of features from tiny images

Reference 41

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Observation aeefff41-056f-4cdd-95d1-56c318eefe3c · outbound

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Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 42

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Observation 969ef17a-e726-4461-9913-d0a901e9b91a · outbound

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Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion L., and Tanaka, H

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.248783Z

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Observation 371c50b8-749d-46a8-b485-6107c5470f10 · outbound

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Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Simple and scalable predictive uncertainty estimation using deep ensembles

Reference 44

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Observation 2846637c-4ac9-4992-8512-0f5e3ec07bae · outbound

This paper cites Bart: Denoising sequence-to-sequence pre-training for natural language generation, translation, and comprehension.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Bart: Denoising sequence-to-sequence pre-training for natural language generation, translation, and comprehension

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.221557Z

Source-reported events for the cited work

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Observation 62d684f1-e374-4a5c-bdbb-9920f3fc0207 · outbound

This paper cites A., and Zettlemoyer, L.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion A., and Zettlemoyer, L

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.205636Z

Source-reported events for the cited work

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Observation db70bbcc-cf4a-42a1-87dc-c12f63fd3890 · outbound

This paper cites Deep Model Fusion: A Survey.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Deep Model Fusion: A Survey

Reference 47

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Observation 4803c2e0-9745-44d8-bb24-5c793cd6d7c7 · outbound

This paper cites T., Lorraine, J., and Lucas, J.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion T., Lorraine, J., and Lucas, J

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.190758Z

Source-reported events for the cited work

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Observation 51be4c48-c9c6-4241-b788-cebd1eb03709 · outbound

This paper cites The empirical impact of neural parameter symmetries, or lack thereof.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion The empirical impact of neural parameter symmetries, or lack thereof

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.174166Z

Source-reported events for the cited work

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Observation f6070c8e-d5ab-4b3b-b190-ee528fd3c1db · outbound

This paper cites RoBERTa: A Robustly Optimized BERT Pretraining Approach.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion RoBERTa: A Robustly Optimized BERT Pretraining Approach

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.813200Z

Source-reported events for the cited work

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Observation 1ddfe28a-b692-47e2-adbf-ba74835d8cc8 · outbound

This paper cites Symmetry induces structure and constraint of learning.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Symmetry induces structure and constraint of learning

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.156242Z

Source-reported events for the cited work

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Observation 191b8c92-b467-4cc3-b0eb-6a053bcef2b7 · outbound

This paper cites Swin transformer: Hierarchical vision transformer using shifted windows.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Swin transformer: Hierarchical vision transformer using shifted windows

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.828517Z

Source-reported events for the cited work

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Observation 607ef03e-134f-49fa-8cbc-6a924ca5f869 · outbound

This paper cites S., Bigelow, E.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion S., Bigelow, E

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.127133Z

Source-reported events for the cited work

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Observation 78a583c7-4eec-4fbb-aa9a-73a5e863c71b · outbound

This paper cites and Toth, P.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion and Toth, P

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.108256Z

Source-reported events for the cited work

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Observation 2d236c43-0356-4414-9db1-d9fc58cd009f · outbound

This paper cites an unresolved cited work.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-09T19:44:22.090713Z

Source-reported events for the cited work

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Observation b0e08ec4-7a04-4667-aaa0-6f7f152fdcc1 · outbound

This paper cites an unresolved cited work.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-09T19:44:22.073467Z

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Observation 65d7c754-24f2-4d1e-bb15-ea86cfe2fbf4 · outbound

This paper cites G-sgd: Optimizing relu neural networks in its positively scale-invariant space.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion G-sgd: Optimizing relu neural networks in its positively scale-invariant space

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.055585Z

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Observation 74eb8375-a3c9-440e-9cd8-72ce113b6747 · outbound

This paper cites and Hinton, G.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion and Hinton, G

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.036300Z

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Observation 8ea15f1c-14c2-4c77-85b1-135485a789ea · outbound

This paper cites Equivariant architectures for learning in deep weight spaces.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Equivariant architectures for learning in deep weight spaces

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.019241Z

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Observation d5db7c16-b255-4417-8a21-d7b33c55bcac · outbound

This paper cites Equivariant deep weight space alignment.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Equivariant deep weight space alignment

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:22.002014Z

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Observation 34a13bb0-23bc-49e4-9e3e-36a7c90ed930 · outbound

This paper cites R., and Srebro, N.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion R., and Srebro, N

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.984608Z

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Observation 5aa6e507-018f-42ba-b478-ca5a1f3a2ebd · outbound

This paper cites How Do Vision Transformers Work?.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion How Do Vision Transformers Work?

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.891764Z

Source-reported events for the cited work

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Observation 2f001cf5-ba51-45d2-82e1-dc3e4283306e · outbound

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Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-09T19:44:21.970138Z

Source-reported events for the cited work

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Observation 1a354603-3f7b-42c4-9b2d-bf2518d058e4 · outbound

This paper cites W., Hallacy, C., Ramesh, A., Goh, G., Agarwal, S., Sastry, G., Askell, A., Mishkin, P., Clark, J., et al.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion W., Hallacy, C., Ramesh, A., Goh, G., Agarwal, S., Sastry, G., Askell, A., Mishkin, P., Clark, J., et al

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.901687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb8628fc-cc8b-48d7-99c3-c048c83f93d1 · outbound

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Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.908057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed9d6df6-2d37-45d8-98ef-5654a5200f08 · outbound

This paper cites Diverse weight averaging for out-of-distribution generalization.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Diverse weight averaging for out-of-distribution generalization

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.913377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed3eb8e6-0856-4baa-ab41-22b2f6bdb778 · outbound

This paper cites On permutation symmetries in bayesian neural network posteriors: a variational perspective.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion On permutation symmetries in bayesian neural network posteriors: a variational perspective

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.919579Z

Source-reported events for the cited work

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Observation f69471e5-12d3-4e0b-a958-4736ecf05449 · outbound

This paper cites and Rokach, L.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion and Rokach, L

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.925942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4fd53d7-e6f8-4d6d-83a1-ba9affa3f30e · outbound

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Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.932467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edc63e12-b8aa-40e6-9daa-cd5e8d8f810d · outbound

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

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Geometry of the loss landscape in overparameterized neural networks: Symmetries and invariances

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.881199Z

Source-reported events for the cited work

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Observation c8926e3a-6384-42d7-a627-7685154c5687 · outbound

This paper cites an unresolved cited work.

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Reference 71

Resolution: unresolved; raw_fallback, observed 2026-08-09T19:44:21.862291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ae0816ea-6a51-4a09-9bb5-756d17604229 · outbound

This paper cites Linear algebra and its applications.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Linear algebra and its applications

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.842973Z

Source-reported events for the cited work

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Observation 2472283c-a3ab-4e65-ba85-febb78481252 · outbound

This paper cites Optimizing mode connectivity via neuron alignment.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Optimizing mode connectivity via neuron alignment

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.823316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f56d2c87-f422-4603-9393-93270cd196e4 · outbound

This paper cites an unresolved cited work.

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Reference 74

Resolution: unresolved; raw_fallback, observed 2026-08-09T19:44:21.804484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 720cd743-1e63-4de8-b7a9-c37031b01c73 · outbound

This paper cites Equivariant Neural Functional Networks for Transformers.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Equivariant Neural Functional Networks for Transformers

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.965178Z

Source-reported events for the cited work

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Observation 36bacedd-111f-4a17-909b-31968b8dd84c · outbound

This paper cites Least-squares estimation of transformation parameters between two point patterns.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Least-squares estimation of transformation parameters between two point patterns

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.786496Z

Source-reported events for the cited work

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Observation f3d02690-0c53-489d-8116-2af6612ace53 · outbound

This paper cites N., Kaiser, ., and Polosukhin, I.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion N., Kaiser, ., and Polosukhin, I

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.973985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afae7838-30ee-4218-a397-b33c65cd9e17 · outbound

This paper cites an unresolved cited work.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 78

Resolution: unresolved; raw_fallback, observed 2026-08-09T19:44:21.755388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e99ea6f3-7a5b-429b-997d-b1a255a741f6 · outbound

This paper cites Federated learning with matched averaging.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Federated learning with matched averaging

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.736288Z

Source-reported events for the cited work

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Observation f06bcd4e-e559-4187-a971-562015a0f505 · outbound

This paper cites Are Large Language Models Good In-context Learners for Financial Sentiment Analysis?.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Are Large Language Models Good In-context Learners for Financial Sentiment Analysis?

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:20.986905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8dc10bf7-aba9-497e-a833-b3db92101ebc · outbound

This paper cites Y., Roelofs, R., Gontijo-Lopes, R., Morcos, A.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Y., Roelofs, R., Gontijo-Lopes, R., Morcos, A

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.718406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8ee08f16-d49d-4fbc-b897-01736d42c804 · outbound

This paper cites A., and Bansal, M.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion A., and Bansal, M

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.700705Z

Source-reported events for the cited work

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Observation ee850eac-1dd0-456a-9cc7-679ce73313e8 · outbound

This paper cites What Matters for Model Merging at Scale?.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion What Matters for Model Merging at Scale?

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:21.000924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c9c77ce-9f05-4986-81b5-ee7e7beff529 · outbound

This paper cites Adamerging: Adaptive model merging for multi-task learning.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Adamerging: Adaptive model merging for multi-task learning

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.683538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bfb6e827-ee3e-45db-a8d1-cc2981376bf1 · outbound

This paper cites an unresolved cited work.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:21.012079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbfe5df6-fc73-48ba-9276-074d01b8c087 · outbound

This paper cites Bayesian nonparametric federated learning of neural networks.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Bayesian nonparametric federated learning of neural networks

Reference 86

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.654577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 70a08bf3-1d5c-437b-abeb-77264473e109 · outbound

This paper cites Improving Learning to Optimize Using Parameter Symmetries.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Improving Learning to Optimize Using Parameter Symmetries

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:21.029402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03f28ef1-af54-48b2-b067-1a7a3d5fcf06 · outbound

This paper cites Resolving Editing-Unlearning Conflicts: A Knowledge Codebook Framework for Large Language Model Updating.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Resolving Editing-Unlearning Conflicts: A Knowledge Codebook Framework for Large Language Model Updating

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:21.036373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb7f9a1a-9620-4080-9db2-3f892cf68c52 · outbound

This paper cites Symmetry teleportation for accelerated optimization.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Symmetry teleportation for accelerated optimization

Reference 89

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.637323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 98d08a92-c47d-4bcf-a809-7f2d133602ae · outbound

This paper cites Symmetries, flat minima, and the conserved quantities of gradient flow.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Symmetries, flat minima, and the conserved quantities of gradient flow

Reference 90

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.617970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b2df3498-708c-4978-9d4f-304f5dfe5c6a · outbound

This paper cites M., Walters, R., and Yu, R.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion M., Walters, R., and Yu, R

Reference 91

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.600381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ff369662-499a-4e15-a2b8-2603b7f7024f · outbound

This paper cites Kg-cf: Knowledge graph completion with context filtering under the guidance of large language models.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Kg-cf: Knowledge graph completion with context filtering under the guidance of large language models

Reference 92

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.580366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 545009ac-b744-4f56-8b15-cfdeafe08949 · outbound

This paper cites Z., and Finn, C.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Z., and Finn, C

Reference 93

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.563455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 185c6655-9073-4723-aaea-2296deaa3f74 · outbound

This paper cites Z., and Finn, C.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Z., and Finn, C

Reference 94

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.547437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 067597fd-4b15-496f-9c0b-d25859eedc3d · outbound

This paper cites Informer: Beyond efficient transformer for long sequence time-series forecasting.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Informer: Beyond efficient transformer for long sequence time-series forecasting

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-09T19:44:21.073290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40ab675f-b508-4d53-bc4b-465568d6ca67 · outbound

This paper cites Metagpt: Merging large language models using model exclusive task arithmetic.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Metagpt: Merging large language models using model exclusive task arithmetic

Reference 96

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.517844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6bcdefde-c566-408c-ade8-d30141e4ef8b · outbound

This paper cites Going beyond linear mode connectivity: The layerwise linear feature connectivity.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Going beyond linear mode connectivity: The layerwise linear feature connectivity

Reference 97

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.500599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6a64bd47-9210-4357-b495-6616f4bc3ff5 · outbound

This paper cites Understanding and modeling job marketplace with pretrained language models.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Understanding and modeling job marketplace with pretrained language models

Reference 98

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T19:44:21.483677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 21e6b31d-3a23-4642-a575-be8cb59cc88d · outbound

This paper cites Parameter Symmetry and Noise Equilibrium of Stochastic Gradient Descent.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Parameter Symmetry and Noise Equilibrium of Stochastic Gradient Descent

Reference 99

Resolution: verified exact; local_arxiv, observed 2026-08-09T19:44:21.162695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4438b30b-57d9-4240-be78-4d459683e9c8 · outbound

This paper cites an unresolved cited work.

Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion Unresolved cited work

Reference 100

Resolution: unresolved; raw_fallback, observed 2026-08-09T19:44:21.466746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 999f6865-8981-4881-994f-036a435c3c1c · inbound

Model Unmerging: Making Your Models Unmergeable for Secure Model Sharing cites this paper.

Model Unmerging: Making Your Models Unmergeable for Secure Model Sharing Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-05T12:34:51.331297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36999521-1e43-46e9-be31-df60daa5319b · inbound

Toward Manifest Relationality in Transformers via Symmetry Reduction cites this paper.

Toward Manifest Relationality in Transformers via Symmetry Reduction Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T21:52:35.599649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 752686b6-30a3-4a13-8832-0cb96d4e8d4e · inbound

Anomalies in Neural Network Field Theory cites this paper.

Anomalies in Neural Network Field Theory Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:27:12.018657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 519922d3-bf63-4a5c-82fb-efba22ea5a52 · inbound

Scaling Linear Mode Connectivity and Merging to Billion Parameter Pretrained Transformers cites this paper.

Scaling Linear Mode Connectivity and Merging to Billion Parameter Pretrained Transformers Beyond the Permutation Symmetry of Transformers: The Role of Rotation for Model Fusion

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-04T10:39:45.073485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.