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Paper Citation Record · LEDGER

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products

As of 17 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2506.13523.

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

pith.paper-citation-record.v1
2506.13523 v2

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:09:26.240315Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:12:35.298125Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

50 of 50 outbound references displayed

  • verified exact4
  • verified fuzzy18
  • unresolved27
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f8505641-5256-40c1-ada6-7d39b9e0f6fc · outbound

This paper cites write newline.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products write newline

Reference 1

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Observation c2be7c20-5f45-4851-8473-e9bef0c933a3 · outbound

This paper cites and Xia, T.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products and Xia, T

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 48f3e3df-a6eb-404d-86f0-b748d1ccae77 · outbound

This paper cites and Isard, M.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products and Isard, M

Reference 3

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Observation b5228dac-79c5-44ac-b159-0eb935f7ac84 · outbound

This paper cites P., Simm, G.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products P., Simm, G

Reference 4

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Observation c19f0a83-0c8a-479d-b159-02eeaf966513 · outbound

This paper cites P., Kornbluth, M., Molinari, N., Smidt, T.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products P., Kornbluth, M., Molinari, N., Smidt, T

Reference 5

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Observation a868c687-127a-4f1b-98eb-6ba7fe807992 · outbound

This paper cites an unresolved cited work.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Unresolved cited work

Reference 6

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 56bb0332-ee57-4c30-8360-70bc8f2dac28 · outbound

This paper cites An Efficient Sparse Kernel Generator for O(3)-Equivariant Deep Networks.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products An Efficient Sparse Kernel Generator for O(3)-Equivariant Deep Networks

Reference 7

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Observation 2d65a324-7851-4e6a-bdf5-c0858784c88f · outbound

This paper cites J., Leary, C., Maclaurin, D., Necula, G., Paszke, A., Vander P las, J., Wanderman- M ilne, S., and Zhang, Q.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products J., Leary, C., Maclaurin, D., Necula, G., Paszke, A., Vander P las, J., Wanderman- M ilne, S., and Zhang, Q

Reference 8

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Observation 7971295b-9ca9-4e29-ac02-b9c5a80e8cf4 · outbound

This paper cites Does equivariance matter at scale?.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Does equivariance matter at scale?

Reference 9

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Observation f950c2d0-e9f4-44ea-8826-4bd59548055f · outbound

This paper cites Are high-degree representations really unnecessary in equivariant graph neural networks? In The Thirty-eighth Annual Conference on Neural Information Processing Systems.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Are high-degree representations really unnecessary in equivariant graph neural networks? In The Thirty-eighth Annual Conference on Neural Information Processing Systems

Reference 10

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation e6c83358-6196-45e4-a3b6-2db14275c1eb · outbound

This paper cites On the role of gradients for machine learning of molecular energies and forces.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products On the role of gradients for machine learning of molecular energies and forces

Reference 11

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Observation 69e92b62-4b00-4751-a090-def7067eec84 · outbound

This paper cites G., Mavor-Parker, A.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products G., Mavor-Parker, A

Reference 12

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 4b0a7157-b181-40da-ab39-7a0d8989e5a2 · outbound

This paper cites S., Dresselhaus, G., and Jorio, A.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products S., Dresselhaus, G., and Jorio, A

Reference 13

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 03f625b2-6e5e-44b8-a7f2-fdcc2683133f · outbound

This paper cites Optimizing Data Distribution and Kernel Performance for Efficient Training of Chemistry Foundation Models: A Case Study with MACE.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Optimizing Data Distribution and Kernel Performance for Efficient Training of Chemistry Foundation Models: A Case Study with MACE

Reference 14

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Observation 1b9ebe59-4091-422b-9a88-1469212644d6 · outbound

This paper cites T., and Muller, K.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products T., and Muller, K

Reference 15

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation c3f858c0-335c-492f-aae9-124ac2af0cdb · outbound

This paper cites C., Soklaski, R., Axelrod, S., Samsi, S., Gómez-Bombarelli, R., Coley, C.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products C., Soklaski, R., Axelrod, S., Samsi, S., Gómez-Bombarelli, R., Coley, C

Reference 16

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Observation 18c79903-a73b-4935-88b2-4f227edbadd5 · outbound

This paper cites A recipe for charge density prediction, 2024.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products A recipe for charge density prediction, 2024

Reference 17

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Observation ed580dcd-d246-4a23-9133-b732a5dd1d6b · outbound

This paper cites an unresolved cited work.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Unresolved cited work

Reference 18

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Observation 9d9efbf8-c552-4c9c-b3d1-b3a2d6225d85 · outbound

This paper cites e3nn: Euclidean Neural Networks.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products e3nn: Euclidean Neural Networks

Reference 19

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Observation dde1d890-f28f-4886-bf41-d94649871a17 · outbound

This paper cites M., Rockmore, D.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products M., Rockmore, D

Reference 20

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 6ae865ec-70fa-4212-90b5-3af14f4303e8 · outbound

This paper cites G., Vignac, C., and Welling, M.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products G., Vignac, C., and Welling, M

Reference 21

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Observation b5a5d4c1-741a-4642-83f8-46c7ca292c10 · outbound

This paper cites an unresolved cited work.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Unresolved cited work

Reference 22

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Observation 1f53d031-ddcb-4515-a686-14165123467a · outbound

This paper cites N-body Networks: a Covariant Hierarchical Neural Network Architecture for Learning Atomic Potentials.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products N-body Networks: a Covariant Hierarchical Neural Network Architecture for Learning Atomic Potentials

Reference 23

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Observation 15379a8d-c432-451e-8bbe-cc299fe4533e · outbound

This paper cites Clebsch-gordan nets: a fully fourier space spherical convolutional neural network.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Clebsch-gordan nets: a fully fourier space spherical convolutional neural network

Reference 24

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Observation daf3e0ec-5dd6-44bb-8152-13dd3d52e12f · outbound

This paper cites P., Oord, C.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products P., Oord, C

Reference 25

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Observation 0da9bbc3-6c54-4db2-8d9e-bb2c25efdf36 · outbound

This paper cites Fourcastnet: Accelerating global high-resolution weather forecasting using adaptive fourier neural operators.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Fourcastnet: Accelerating global high-resolution weather forecasting using adaptive fourier neural operators

Reference 26

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Observation e1bb1a95-bd28-4c25-9a7a-4ed580af0949 · outbound

This paper cites an unresolved cited work.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Unresolved cited work

Reference 27

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 758f8ed9-39f6-40d0-89af-5f8be3d99493 · outbound

This paper cites H., Yadollahpour, P., Watkins, A., Frey, N.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products H., Yadollahpour, P., Watkins, A., Frey, N

Reference 28

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation bbd7f727-845b-4f3a-b698-0e423e96734e · outbound

This paper cites and Smidt, T.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products and Smidt, T

Reference 29

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source=arxiv_source observed=2026-08-15T20:09:26.122454Z digest=sha256:1ce9ab17e2501e8556c43945b5ce5f406363975e7d7f1e2c396be08ef1abc00c

Observation 331cc980-eb81-456d-8926-5190b5966037 · outbound

This paper cites Enabling Efficient Equivariant Operations in the Fourier Basis via Gaunt Tensor Products.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Enabling Efficient Equivariant Operations in the Fourier Basis via Gaunt Tensor Products

Reference 30

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source=arxiv_source observed=2026-08-15T20:09:26.127732Z digest=sha256:e5485489c239d1aff39e28ad5105f49c5475f64acc7f0f0a54e4764d93d0c2d3

Observation aa2e3cb9-db61-4a63-a637-4fdd9f520820 · outbound

This paper cites Complete and Efficient Covariants for 3D Point Configurations with Application to Learning Molecular Quantum Properties.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Complete and Efficient Covariants for 3D Point Configurations with Application to Learning Molecular Quantum Properties

Reference 31

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local_arxiv, observed 2026-08-15T20:09:26.483896Z

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Observation 2f659a9d-df22-46e9-a220-0d6583d8ade8 · outbound

This paper cites an unresolved cited work.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Unresolved cited work

Reference 32

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 1f28ae15-324d-4fb6-aed8-d297824b6065 · outbound

This paper cites J., Kornbluth, M., and Kozinsky, B.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products J., Kornbluth, M., and Kozinsky, B

Reference 33

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source=arxiv_source observed=2026-08-15T20:09:26.146528Z digest=sha256:a98214ef13c208a8c13bfed95e9f8c021b2212b584956e667eaf517a6db4375d

Observation b3b9193d-5ec3-4df9-9380-922c43978e85 · outbound

This paper cites cuequivariance, 2024.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products cuequivariance, 2024

Reference 34

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 8bdf148f-2066-48ef-938f-c3d681bf119b · outbound

This paper cites J., Torrisi, S.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products J., Torrisi, S

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a08d13f6-cfec-46aa-9605-a3e160ee80a9 · outbound

This paper cites and Zitnick, C.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products and Zitnick, C

Reference 36

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 25807341-7960-4566-a017-0e554e3470dd · outbound

This paper cites A., Tecot, L., Geiger, M., and Smidt, T.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products A., Tecot, L., Geiger, M., and Smidt, T

Reference 37

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 7380825e-24f1-45aa-b3e8-c72f70899101 · outbound

This paper cites Xla : Compiling machine learning for peak performance, 2020.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Xla : Compiling machine learning for peak performance, 2020

Reference 38

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no resolver link, observed 2026-08-15T20:09:26.173807Z

Source-reported events for the cited work

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Observation c534d2a3-9272-4f05-a9ed-ed2c73e0f6f0 · outbound

This paper cites High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces

Reference 39

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 11d4623e-2530-46d7-a3fa-7862a2772842 · outbound

This paper cites Operator Fusion in XLA: Analysis and Evaluation.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Operator Fusion in XLA: Analysis and Evaluation

Reference 40

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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-15T20:09:26.184769Z digest=sha256:fd4c32a9036f8916d5ddf84601eebfb68337c91e7a74d5d5dce6714d0c455217

Observation c5e19e01-c2d8-4d03-980f-e6ef5a15be94 · outbound

This paper cites High-performance training and inference for deep equivariant interatomic potentials.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products High-performance training and inference for deep equivariant interatomic potentials

Reference 41

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unresolved
no resolver link, observed 2026-08-15T20:09:26.190324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T20:09:26.190324Z digest=sha256:2ef4c9caf9794472e6c83f72741e629959ee54b792f74dcb02ad8a905a0d718c

Observation a7e2efa5-a5cd-47ef-9bb8-46fe7ac3f34d · outbound

This paper cites Why the compute throughputs value is different from the actual performance (peak performance)?, 2023.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Why the compute throughputs value is different from the actual performance (peak performance)?, 2023

Reference 42

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-15T20:09:26.195452Z digest=sha256:40092e9d4e340f1ea030b7e1f439621532a42595c9fc662340f1102799bb22ff

Observation fdc67726-0295-4562-8e98-511e971af13d · outbound

This paper cites Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds

Reference 43

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no resolver link, observed 2026-08-15T20:09:26.202025Z

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source=arxiv_source observed=2026-08-15T20:09:26.202025Z digest=sha256:d714aa0b53a272bf8eeba64a3b621bfba8ba34e6728f4f2217cbe7ee5e50e337

Observation 8ca94b6d-0d16-4a84-9e1e-e4fbde63432a · outbound

This paper cites E3x: $\mathrm{E}(3)$-Equivariant Deep Learning Made Easy.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products E3x: $\mathrm{E}(3)$-Equivariant Deep Learning Made Easy

Reference 44

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no resolver link, observed 2026-08-15T20:09:26.207377Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-15T20:09:26.207377Z digest=sha256:797e1e2a0164b9111acb8a4133d44ece7ca119f6f2e8b23e0cb91fa76ce80461

Observation 52ed86a1-d6a3-43bc-a602-616ef89d0a5e · outbound

This paper cites A., Moskalev, A.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products A., Moskalev, A

Reference 45

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-15T20:09:26.212547Z digest=sha256:ce04844f0d5175b44209b4e38d298a4d2a2e47dbefdb9130daade4ea5a958286

Observation 3575bed9-7d28-43a1-89ad-5fc6ba4fb44e · outbound

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

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products 3D Steerable CNNs: Learning Rotationally Equivariant Features in Volumetric Data

Reference 46

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unresolved
no resolver link, observed 2026-08-15T20:09:26.217674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T20:09:26.217674Z digest=sha256:dbbb553be2af43cdb78ed106037e982effbb9d43bb8e2a3996a45873f1799bf9

Observation 1cba824a-fcf4-4348-bab5-5b2096a1e803 · outbound

This paper cites Fast and accurate spherical harmonics products.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Fast and accurate spherical harmonics products

Reference 47

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-15T20:09:26.223104Z digest=sha256:09076c506901df37936b9f36d69a1b6950bb9b1cda46dae658384e8d0b375e35

Observation bd5555fc-fa39-45c8-977c-f59e01c9d24b · outbound

This paper cites Hierarchical Roofline Analysis: How to Collect Data using Performance Tools on Intel CPUs and NVIDIA GPUs.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Hierarchical Roofline Analysis: How to Collect Data using Performance Tools on Intel CPUs and NVIDIA GPUs

Reference 48

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-15T20:09:26.228339Z digest=sha256:19f9516e14ce30a70e8ee4ddf5d50ba086c740d0e58ec2262e285d6ea3c21a8b

Observation 98e40f6e-b193-47f8-86b8-017d3494306f · outbound

This paper cites Hierarchical Roofline Performance Analysis for Deep Learning Applications.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Hierarchical Roofline Performance Analysis for Deep Learning Applications

Reference 49

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T20:09:26.234552Z digest=sha256:d3d13736ed67959ef864d7f5000e9a2be970129c62408fbf20dcbb1b49d1dcdb

Observation 9c405fc0-9678-4785-9865-5846b810c0ae · outbound

This paper cites Higher-rank irreducible cartesian tensors for equivariant message passing.

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products Higher-rank irreducible cartesian tensors for equivariant message passing

Reference 50

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verified fuzzy
raw_fallback, observed 2026-08-15T20:09:26.863773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-15T20:09:26.240315Z digest=sha256:25c40b06c4b7d2af2373efc217c2d18710f6bc6ff51f4c33125ab16513605a5f

Pith citing papers

Observation 0b9c771d-c94f-42d9-9fea-a1f91c97e3c8 · inbound

Reconstructing local environments from concise atomistic representations cites this paper.

Reconstructing local environments from concise atomistic representations The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products

Reference 64

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Unavailable: canonical work link unavailable.

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