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Paper Citation Record · LEDGER

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation

As of 14 August 2026, this Paper Citation Record lists 100 of 191 outbound references and 0 inbound Pith citation observations for arXiv:2607.23390.

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

pith.paper-citation-record.v1
2607.23390 v1

Coverage vector

measured 100 of 191 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-30T23:38:38.546981Z

measured 100 of 100 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

100 of 191 outbound references displayed

  • verified exact4
  • verified fuzzy0
  • unresolved95
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cdc71081-c8e6-42bd-a2a2-5d8419c903e1 · outbound

This paper cites Communications on Pure and Applied Mathematics , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Communications on Pure and Applied Mathematics , volume =

Reference 1

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source=arxiv_source observed=2026-07-30T23:38:38.205977Z digest=sha256:0bb1beafc00d5df36f3c47761b6e475dd67965c949dc6e3f8e0b999dcba1983b

Observation f4430ce4-b61a-4672-9e8e-e31751dd2bec · outbound

This paper cites SIAM Journal on Imaging Sciences , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation SIAM Journal on Imaging Sciences , volume =

Reference 2

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source=arxiv_source observed=2026-07-30T23:38:38.209746Z digest=sha256:e1502d2edeb4cfdacb131540deb7acc3160f41aabc40122c583e487afddb02a7

Observation e38dfb86-d66f-43fb-8e01-4308a477226f · outbound

This paper cites Proceedings of the 27th International Conference on Machine Learning , pages =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 27th International Conference on Machine Learning , pages =

Reference 3

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source=arxiv_source observed=2026-07-30T23:38:38.212965Z digest=sha256:a31c0fa9367edd2203e5e24a6ec5ff9e6c38fed89ea9b15f203d867e62ddc7df

Observation ad6ac486-79ea-4d29-8251-a93dec0719a3 · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Advances in Neural Information Processing Systems , volume =

Reference 4

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source=arxiv_source observed=2026-07-30T23:38:38.216185Z digest=sha256:ca6ad56faca84dc711d07050abc13e21b0045dbf116ac3db8cf74e70a2682e53

Observation f1f8ba4a-ae6b-4610-b710-972821158925 · outbound

This paper cites Eldar , title =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Eldar , title =

Reference 5

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source=arxiv_source observed=2026-07-30T23:38:38.219294Z digest=sha256:81cc78044dc344e1017c05de9cba7341b71355db26b3abc1af6119ba0f2e6777

Observation d54b2c5b-b7a3-450b-a9fe-c6e35c7aeb12 · outbound

This paper cites Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition , pages =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition , pages =

Reference 6

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source=arxiv_source observed=2026-07-30T23:38:38.222431Z digest=sha256:20480b35b78c83609cfcb4322ef47921a95447259871b2f534a9e2c3a8103fa7

Observation 2401c844-1ca7-4515-acbd-36386194f75e · outbound

This paper cites an unresolved cited work.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Unresolved cited work

Reference 7

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source=arxiv_source observed=2026-07-30T23:38:38.225627Z digest=sha256:c3f21f0461ad09e61be8d145600bef1b43b5e49ad73f5ea2a22fa4eb2ecbf3f6

Observation 5dcd2dae-ab35-4407-9568-263cd15cddcd · outbound

This paper cites Inverse Problems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Inverse Problems , volume =

Reference 8

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source=arxiv_source observed=2026-07-30T23:38:38.228934Z digest=sha256:6e76c3f9693b2081aecc098d122c71f409b6bf45dd0d0cc779aae5c2b322652e

Observation 9ca092ff-004a-44d4-a0df-01700b41170b · outbound

This paper cites Sander and Pierre Ablin and Gabriel Peyr.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Sander and Pierre Ablin and Gabriel Peyr

Reference 9

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Observation 13958a1c-bf14-4f98-a360-6e08a446c816 · outbound

This paper cites an unresolved cited work.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Unresolved cited work

Reference 10

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source=arxiv_source observed=2026-07-30T23:38:38.235419Z digest=sha256:7435eea089adeb05cac61b1befe9350e2e68348dff42306dec88bbe2ededfdcd

Observation b4604e64-dcda-479c-a1de-449dc79cc2bd · outbound

This paper cites Young , title =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Young , title =

Reference 11

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source=arxiv_source observed=2026-07-30T23:38:38.238300Z digest=sha256:c572fe39e1e3b23c2c023696b50dd16eff0966e504c20d193d0b5fd2071ed244

Observation 3d9e8fce-680f-4044-872e-1d05e90fdd31 · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Advances in Neural Information Processing Systems , volume =

Reference 12

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Observation 6635cae5-a6c5-4e84-a071-2e378249af90 · outbound

This paper cites Journal of Machine Learning Research , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Journal of Machine Learning Research , volume =

Reference 13

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Observation badf9c2c-235c-418d-a86c-8ffea4c225f3 · outbound

This paper cites European Conference on Computer Vision , pages =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation European Conference on Computer Vision , pages =

Reference 14

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Observation 3d72eecc-9056-4fd0-adb6-c396dcc73445 · outbound

This paper cites International Conference on Learning Representations , year =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation International Conference on Learning Representations , year =

Reference 15

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Observation 7d6c673d-7394-4dd8-a8ba-ee6d259bbe93 · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Advances in Neural Information Processing Systems , volume =

Reference 16

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Observation 6406572c-4fb0-4d6b-8707-3a85abea9634 · outbound

This paper cites Journal of Machine Learning Research , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Journal of Machine Learning Research , volume =

Reference 18

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Observation 165905a6-9885-4495-91f6-b481c453460f · outbound

This paper cites International Conference on Learning Representations , year =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation International Conference on Learning Representations , year =

Reference 22

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Observation f28e8b5a-6aad-415f-927d-74404e8aa4d7 · outbound

This paper cites Annals of Mathematics , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Annals of Mathematics , volume =

Reference 23

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Observation fc363b6c-6286-4c43-8c62-8c4a44296f3e · outbound

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When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Unresolved cited work

Reference 24

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Observation 33284b68-717d-4507-b090-6737474e58ce · outbound

This paper cites IEEE Transactions on Information Theory , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation IEEE Transactions on Information Theory , volume =

Reference 25

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Observation 379c0f20-12d7-4cd5-8625-6d38d000a7eb · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Advances in Neural Information Processing Systems , volume =

Reference 26

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This paper cites Advances in Neural Information Processing Systems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Advances in Neural Information Processing Systems , volume =

Reference 28

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This paper cites Advances in Neural Information Processing Systems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Advances in Neural Information Processing Systems , volume =

Reference 29

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This paper cites Advances in Neural Information Processing Systems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Advances in Neural Information Processing Systems , volume =

Reference 30

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Observation 8071b206-a623-42c6-8eba-cbe2d0cabb8d · outbound

This paper cites Proceedings of the 43rd International Conference on Machine Learning , year =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 43rd International Conference on Machine Learning , year =

Reference 31

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Observation dd8f5345-41e6-4f08-9f38-a8a4cadc2baf · outbound

This paper cites Gomez and Lukasz Kaiser and Illia Polosukhin , title =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Gomez and Lukasz Kaiser and Illia Polosukhin , title =

Reference 32

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Observation 554a168f-3304-4d49-a5c7-cfa8ccae84b9 · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Advances in Neural Information Processing Systems , volume =

Reference 34

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Observation 84b411e6-7745-4654-8fb4-67315b6e118f · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Advances in Neural Information Processing Systems , volume =

Reference 35

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Observation abbaba80-f532-465a-8a38-4263edba1aff · outbound

This paper cites Bulletin of the American Mathematical Society , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Bulletin of the American Mathematical Society , volume =

Reference 36

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Observation 61676ffb-c136-43cf-bae1-6479ac036d82 · outbound

This paper cites Proceedings of the 38th International Conference on Machine Learning , series =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 38th International Conference on Machine Learning , series =

Reference 37

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Observation 86c94c24-f07b-4aef-ba95-38ea9d8e0a34 · outbound

This paper cites Proceedings of the 38th International Conference on Machine Learning , series =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 38th International Conference on Machine Learning , series =

Reference 38

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Observation 1bb2f33c-8902-4386-bd33-15b9be2fa609 · outbound

This paper cites How Smooth Is Attention? , booktitle =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation How Smooth Is Attention? , booktitle =

Reference 39

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Observation bc8bdd0a-6b1a-4e79-bb8e-0f51f4d35db8 · outbound

This paper cites Proceedings of the 38th International Conference on Machine Learning , series =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 38th International Conference on Machine Learning , series =

Reference 40

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Observation eebed188-9e62-40d2-af73-57102b2898df · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Advances in Neural Information Processing Systems , volume =

Reference 41

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Observation 58593e4c-79f6-4b03-bcff-9924462a31e4 · outbound

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When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Unresolved cited work

Reference 42

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Observation 800ffb66-7f87-4373-89d6-1c44c9c69013 · outbound

This paper cites Mahoney and Kurt Keutzer , title =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Mahoney and Kurt Keutzer , title =

Reference 43

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Observation d9d0024a-c450-4cac-977c-59da4b8ebaa1 · outbound

This paper cites Proceedings of the 40th International Conference on Machine Learning , series =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 40th International Conference on Machine Learning , series =

Reference 44

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Observation e1f41ca7-f251-4a9d-bb18-40f13da1db41 · outbound

This paper cites International Conference on Learning Representations , year =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation International Conference on Learning Representations , year =

Reference 45

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source=arxiv_source observed=2026-07-30T23:38:38.331450Z digest=sha256:89e3dc9486a45d884ac9f9e1922e5817b38b02bd41e6ce6e476b7931d1e54d9e

Observation a96e30fb-1921-420c-bdc4-cb39408a1b48 · outbound

This paper cites Proceedings of Machine Learning and Systems , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of Machine Learning and Systems , volume =

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source=arxiv_source observed=2026-07-30T23:38:38.334010Z digest=sha256:acdfba229aa7d27dc29f13f34bf3640936357c37359e0d81939713bea35acfab

Observation f5d5e9cb-20d3-4cc6-ab7b-61db2154614e · outbound

This paper cites Proceedings of the 41st International Conference on Machine Learning , series =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 41st International Conference on Machine Learning , series =

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source=arxiv_source observed=2026-07-30T23:38:38.336507Z digest=sha256:943dd4edbb175aa2242fbeb379d031fc4d8705801011ab92afa7c03ffb758341

Observation 96ee6585-0256-43b3-b284-4e3b0139a1d8 · outbound

This paper cites Proceedings of the 41st International Conference on Machine Learning , series =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 41st International Conference on Machine Learning , series =

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source=arxiv_source observed=2026-07-30T23:38:38.339130Z digest=sha256:332574e7cb347dfa0f3071b1d61781508a6f2911eeb6e1931f708593d8f88fb6

Observation 372e6d6f-11e8-4011-893c-2fcbbea514c0 · outbound

This paper cites Proceedings of the 41st International Conference on Machine Learning , series =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 41st International Conference on Machine Learning , series =

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source=arxiv_source observed=2026-07-30T23:38:38.341622Z digest=sha256:af5538f5c0742965a69f6d63f38e2902fb7675eacf0d6efc1213bbc91d3c9549

Observation c2c67cbd-e80a-4866-9a72-071e09a1b427 · outbound

This paper cites Lan and Wanzin Yazar and Tristan Webb and Sayeh Sharify and Xin Wang , title =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Lan and Wanzin Yazar and Tristan Webb and Sayeh Sharify and Xin Wang , title =

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source=arxiv_source observed=2026-07-30T23:38:38.344019Z digest=sha256:5fbdc41e26c03724ef18c224e0f098d521f5bba778ddcbed0208b8f26f45b5db

Observation 5e7f6941-8709-46bd-ac4a-d455901e13ed · outbound

This paper cites Proceedings of the 41st International Conference on Machine Learning , series =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 41st International Conference on Machine Learning , series =

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source=arxiv_source observed=2026-07-30T23:38:38.346458Z digest=sha256:b5ca24feccaca8d6a4ee54cd693e736fc14b2d38c1619e32f88025cee5f5826b

Observation 6b424820-d9bd-4dbf-84e6-30737e3888d1 · outbound

This paper cites International Conference on Learning Representations , year =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation International Conference on Learning Representations , year =

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source=arxiv_source observed=2026-07-30T23:38:38.348907Z digest=sha256:510ce628491d423032d79ce73ac06c2bd013d442ca070457009720e0151ddd8b

Observation ea37cb24-46cd-44fe-8bbc-f5d77335abb2 · outbound

This paper cites Journal of Machine Learning Research , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Journal of Machine Learning Research , volume =

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source=arxiv_source observed=2026-07-30T23:38:38.351399Z digest=sha256:b0e2c06f6b08abb80f369ee5ba7f2571cc0062c1f59ae98e0f447cb59f5d29b4

Observation a386f2ba-2ffd-4159-9396-23f94109e323 · outbound

This paper cites Zhao and Andrew M.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Zhao and Andrew M

Reference 54

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source=arxiv_source observed=2026-07-30T23:38:38.353942Z digest=sha256:45b1ff773f6004cfb95eb94140aa773e51832d424805f8c812144ee7d565562b

Observation dc23d5a3-6a72-4693-8c87-7d0f0a7ac4a0 · outbound

This paper cites Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers) , pages =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers) , pages =

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source=arxiv_source observed=2026-07-30T23:38:38.356440Z digest=sha256:899afec2c456f2cee32bcced90510a077f83cf2f446fae7d969173e106900155

Observation 87763c32-ed80-4abd-ad16-181e3d381c67 · outbound

This paper cites International Conference on Learning Representations , year =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation International Conference on Learning Representations , year =

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no resolver link, observed 2026-07-30T23:38:38.359141Z

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source=arxiv_source observed=2026-07-30T23:38:38.359141Z digest=sha256:3ad49f3832a9b0f7810b55af7c224bedef9262764c782c0bdcc0671e567fb5a4

Observation 6311e8b0-b459-4f8c-a689-394d4b542233 · outbound

This paper cites Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition , pages =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition , pages =

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source=arxiv_source observed=2026-07-30T23:38:38.361599Z digest=sha256:db2c41d3ad34250ade81ea08b6c252eb1ed387cb195791b0905299b4e57d4170

Observation 47b58006-9409-4465-a245-09d5a94359e3 · outbound

This paper cites Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition , pages =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition , pages =

Reference 58

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source=arxiv_source observed=2026-07-30T23:38:38.363981Z digest=sha256:2952a78236b2c438865b802b861a8b08d1518ad3b48871b60b685ec1c26e5465

Observation 646981a8-bf0b-43df-ade8-2e35f4546787 · outbound

This paper cites Proceedings of the IEEE/CVF Winter Conference on Applications of Computer Vision , pages =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the IEEE/CVF Winter Conference on Applications of Computer Vision , pages =

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source=arxiv_source observed=2026-07-30T23:38:38.366569Z digest=sha256:df42889433139f714762c08b905e5e250d17449263e190203d1bf39242dc5dab

Observation 97673878-ad53-4e04-a099-2c6451df00dc · outbound

This paper cites Mathematical Programming , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Mathematical Programming , volume =

Reference 60

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source=arxiv_source observed=2026-07-30T23:38:38.369162Z digest=sha256:901e7d48f17acca54b304993be62b0b2b6d0150ddf7ff200fa7b7129e6196127

Observation 4ecb531e-9275-4b99-9ae5-e7e49947cd57 · outbound

This paper cites Mathematical Programming , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Mathematical Programming , volume =

Reference 61

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source=arxiv_source observed=2026-07-30T23:38:38.371876Z digest=sha256:255e9a91157d799865f3b69e4da9585f93233d97bda92038d2771b405406add9

Observation f290171b-e877-4453-bebd-7bfb033eb680 · outbound

This paper cites Mathematical Methods of Operations Research , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Mathematical Methods of Operations Research , volume =

Reference 62

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source=arxiv_source observed=2026-07-30T23:38:38.374408Z digest=sha256:5c4a49dcfe21d9f16ac92dd99b454441255777e1cc25b72d9eef02586c697021

Observation 3ce05691-96a5-4a25-9c0a-7807eeddb070 · outbound

This paper cites SIAM Journal on Control and Optimization , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation SIAM Journal on Control and Optimization , volume =

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source=arxiv_source observed=2026-07-30T23:38:38.377076Z digest=sha256:72b89ef954807601e4940baffa81dc0110ca84df95bd3a320ea1f3476fbac8b4

Observation 1db0a2a7-4e50-4e8e-8559-7ab4f6063d3f · outbound

This paper cites Shankar Sastry , title =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Shankar Sastry , title =

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source=arxiv_source observed=2026-07-30T23:38:38.380012Z digest=sha256:ba47fd945ac0796343fd95acd75e89729040ed9f255c79c68ebcb32ac2fb2aa1

Observation 993cd4dc-8592-4917-b346-f3197c0cfee7 · outbound

This paper cites Bowman , title =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Bowman , title =

Reference 66

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source=arxiv_source observed=2026-07-30T23:38:38.385849Z digest=sha256:cb6a8850bcfa5bea0b488730315ff72282c60912adfac6bb678d781c875be9e2

Observation 61870cb3-0510-480f-8546-d3818ae25c66 · outbound

This paper cites Manning and Andrew Y.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Manning and Andrew Y

Reference 67

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source=arxiv_source observed=2026-07-30T23:38:38.388376Z digest=sha256:a9fc4dfe33a0dfd04a0bb92ff462e2f91779be0fccc80b893ab773b7069eac5c

Observation bb4d85e6-280e-4eb5-a9bf-caa4ac8276ca · outbound

This paper cites Transformers: State-of-the-Art Natural Language Processing , booktitle =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Transformers: State-of-the-Art Natural Language Processing , booktitle =

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source=arxiv_source observed=2026-07-30T23:38:38.390996Z digest=sha256:733569cdfd223c7d884ba898d564cd7559cf57e68d8b6d9255195f2ad3c08a8e

Observation 2aabfc72-f15e-4242-a503-c3cbf3802eb7 · outbound

This paper cites an unresolved cited work.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Unresolved cited work

Reference 69

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source=arxiv_source observed=2026-07-30T23:38:38.393637Z digest=sha256:d20eaefb7e1f0e42bf99e8f2ab346ef2a94bd3b6b631cbc8f2b9cb897c469789

Observation fcc3e2ab-d5e5-474f-be25-84d7314d4b02 · outbound

This paper cites Geometric Path Enumeration for Equivalence Verification of Neural Networks , booktitle =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Geometric Path Enumeration for Equivalence Verification of Neural Networks , booktitle =

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source=arxiv_source observed=2026-07-30T23:38:38.396177Z digest=sha256:f88bc9a2d7b4e111fe3f20d23e1f4cd2964d9d50356436e38b8541a0ad85df5d

Observation 6869a8a2-cfec-4a7e-aecc-1755351bd491 · outbound

This paper cites Mahoney and Kurt Keutzer , title =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Mahoney and Kurt Keutzer , title =

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source=arxiv_source observed=2026-07-30T23:38:38.398875Z digest=sha256:bca558332f85d9b7685820ac1a5fd0dc4b859a5b6b0ab018c3a1d0296a82dcbf

Observation 4e894479-01b1-441a-9e63-6acb1ee9bba2 · outbound

This paper cites Automatica , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Automatica , volume =

Reference 73

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source=arxiv_source observed=2026-07-30T23:38:38.406990Z digest=sha256:9a93ee1c6f01a343e0dc4b69c3ab9c34599efddc855a8e9e2e6a8bdc000cc17c

Observation 564ae222-6111-4d07-9cc0-c24ef7930aeb · outbound

This paper cites Burden and S.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Burden and S

Reference 74

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source=arxiv_source observed=2026-07-30T23:38:38.409744Z digest=sha256:e547692dcf0c2d2e1cbee98054843a8f9c3518f4eaeda86aab288425def6fe94

Observation 504eaf9c-6b46-41e0-8af0-0aa6a9ef6387 · outbound

This paper cites Kong and J.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Kong and J

Reference 75

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source=arxiv_source observed=2026-07-30T23:38:38.412503Z digest=sha256:36a846cd7877636255080990eec4eca64b7aedd621efe9bd505181629a4c3449

Observation 350070e0-effc-46b6-9087-a0793430a51e · outbound

This paper cites an unresolved cited work.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Unresolved cited work

Reference 76

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source=arxiv_source observed=2026-07-30T23:38:38.415082Z digest=sha256:4d49f967c4ddc558460b7e70006eb778f4431d85b3614ab64a543243b57a8503

Observation 1ca7758d-6d4e-4aed-bc18-aab29af5bbb3 · outbound

This paper cites Lasserre and Didier Henrion and Christophe Prieur and Emmanuel Tr.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Lasserre and Didier Henrion and Christophe Prieur and Emmanuel Tr

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source=arxiv_source observed=2026-07-30T23:38:38.426612Z digest=sha256:a05772bccf63ea7f3cc8ad5180d80ad01d35ae9a2517e8ba6928704a2282602d

Observation d5929965-f3fa-4600-ad19-ba227c5e8454 · outbound

This paper cites Transactions on Machine Learning Research , year =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Transactions on Machine Learning Research , year =

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source=arxiv_source observed=2026-07-30T23:38:38.429406Z digest=sha256:bd80c80b60fa942c9167adfa4adbeb09600cbe71cdf4d0663e952093eaa6186a

Observation ae7ce509-3e2b-4119-a2f0-e41a0a450dbe · outbound

This paper cites Proceedings of the AAAI Conference on Artificial Intelligence , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the AAAI Conference on Artificial Intelligence , volume =

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source=arxiv_source observed=2026-07-30T23:38:38.440756Z digest=sha256:2c346b4c6dcb89da0a23d8f03f8b19dc5d91880704a46de6d54fa65eca5d8c79

Observation dc08b8fb-8008-4a0b-9f8e-1f8ba119c9c1 · outbound

This paper cites Gradient Flows in Metric Spaces and in the Space of Probability Measures , edition =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Gradient Flows in Metric Spaces and in the Space of Probability Measures , edition =

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source=arxiv_source observed=2026-07-30T23:38:38.443449Z digest=sha256:681153335efc81bfda10da8bbf35adc35af4714aff48ee73763866db6b50ec19

Observation 9c508d89-a71a-4b6e-8dc1-28f1c003ffc8 · outbound

This paper cites International Conference on Learning Representations , year =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation International Conference on Learning Representations , year =

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source=arxiv_source observed=2026-07-30T23:38:38.446016Z digest=sha256:bae8222e5261f4998e33ad41588534145bc04e6f37057512f535b90c67a7202e

Observation 4d30f9e4-5a89-414f-92a0-9b46caf2356b · outbound

This paper cites Burr and Liu Liu and Meng Wang , title =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Burr and Liu Liu and Meng Wang , title =

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source=arxiv_source observed=2026-07-30T23:38:38.452203Z digest=sha256:1c4ef3bc5e2d878fa5140bdd1de7bcd764e0427a10a8b1e96294fce3db306a4a

Observation 77171645-9c40-4540-8e35-735e35ea61e7 · outbound

This paper cites SIAM Journal on Mathematics of Data Science , volume =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation SIAM Journal on Mathematics of Data Science , volume =

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source=arxiv_source observed=2026-07-30T23:38:38.454984Z digest=sha256:af602967c96c3bfa3209a4b3473df96bbb87b3ea62822547b45c5892eed138d2

Observation cc30ae19-0603-40e7-ba47-cf82b557518b · outbound

This paper cites Proceedings of the 37th International Conference on Machine Learning , series =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 37th International Conference on Machine Learning , series =

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source=arxiv_source observed=2026-07-30T23:38:38.457971Z digest=sha256:0ebaaac9e53802759431872a30f0f1127f55c4c15e7a5e6888bb79e6c0f0f64a

Observation 000bab20-6434-4fb8-b733-350c5fd52cab · outbound

This paper cites SIAM Journal on Mathematics of Data Science , year =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation SIAM Journal on Mathematics of Data Science , year =

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source=arxiv_source observed=2026-07-30T23:38:38.472763Z digest=sha256:8cbdc2b38c043f34f8f369cde37a72b44f9d364c92475bf2d5975932bde1012d

Observation e9e64070-b918-47ee-b3be-abf235a52ec6 · outbound

This paper cites Proceedings of the IEEE/CVF International Conference on Computer Vision , pages =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the IEEE/CVF International Conference on Computer Vision , pages =

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source=arxiv_source observed=2026-07-30T23:38:38.475456Z digest=sha256:3fb7ab35e51b526529393a377cef12e7487eba7a6f9ef97d0e59afdeba1c7955

Observation c8dccca6-eeb1-46c5-8c60-9c0cd4ca7270 · outbound

This paper cites Proceedings of the 41st International Conference on Machine Learning , series =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Proceedings of the 41st International Conference on Machine Learning , series =

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Observation a73af1dc-7ebb-4887-9467-03523f57dcef · outbound

This paper cites The Expressive Power of Low Precision Softmax Transformers with (Summarized) Chain-of-Thought , journal =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation The Expressive Power of Low Precision Softmax Transformers with (Summarized) Chain-of-Thought , journal =

Reference 101

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Observation 7839919a-8b8a-49d0-ad14-b4a85105870e · outbound

This paper cites The Quantization Benefits of Residual-Free Transformers.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation The Quantization Benefits of Residual-Free Transformers

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Observation f052a0d4-ffe7-49c2-9ea6-977b0af70cc0 · outbound

This paper cites DynamicPTQ: Mitigating Activation Quantization Collapse via Residual-Stream Dynamics.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation DynamicPTQ: Mitigating Activation Quantization Collapse via Residual-Stream Dynamics

Reference 104

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Observation 5bca0138-d0e5-443f-9ac9-01d9cf17bd49 · outbound

This paper cites arXiv preprint arXiv:2601.22101 , year =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation arXiv preprint arXiv:2601.22101 , year =

Reference 105

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Observation f7373a68-8a56-4014-a142-06bcc44bde94 · outbound

This paper cites arXiv preprint arXiv:2603.14818 , year =.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation arXiv preprint arXiv:2603.14818 , year =

Reference 106

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Observation 334feb2d-c008-4427-bf89-a2612c26fff6 · outbound

This paper cites Consensus is all you get: The role of attention in transformers.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Consensus is all you get: The role of attention in transformers

Reference 107

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Observation 33e309cd-099d-4083-a460-54026d68e168 · outbound

This paper cites Framequant: Flexible low-bit quantization for transformers.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Framequant: Flexible low-bit quantization for transformers

Reference 108

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Observation eb567f44-7c0e-4554-b466-12c63912e702 · outbound

This paper cites u rich. Birkh \.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation u rich. Birkh \

Reference 109

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source=arxiv_source observed=2026-07-30T23:38:38.510541Z digest=sha256:d518e08d15324abc41e0c39de4772354c873fd360bd2e8bf657a502bda29bed9

Observation 6604ac13-a17d-481e-a113-3370f38649fd · outbound

This paper cites Quantization error propagation: Revisiting layer-wise post-training quantization.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Quantization error propagation: Revisiting layer-wise post-training quantization

Reference 110

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source=arxiv_source observed=2026-07-30T23:38:38.513523Z digest=sha256:4afb042dac3ce8a1ae4a55c3f8b1aa1bad8a01dccb31c18ba6ed534895dcbf95

Observation 1f1970a6-3224-467e-8a94-a7caac109e48 · outbound

This paper cites Layer Normalization.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Layer Normalization

Reference 111

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source=arxiv_source observed=2026-07-30T23:38:38.516113Z digest=sha256:5fbb2144695b95764c4e07138a6ee2b6874f8ccb4aaecdde262b09d052b5e133

Observation 3fc1408a-64ff-42a1-928a-2ef6e3b7dee9 · outbound

This paper cites A fast iterative shrinkage-thresholding algorithm for linear inverse problems.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation A fast iterative shrinkage-thresholding algorithm for linear inverse problems

Reference 112

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source=arxiv_source observed=2026-07-30T23:38:38.519020Z digest=sha256:747594a3ab2c88d2678d2e5efa68a3e23c7dfd3150af80a551ca3b26bfbfb441

Observation 1ec6e599-4966-4374-a8cd-769781d318ba · outbound

This paper cites A mean field theory of quantized deep networks: The quantization--depth trade-off.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation A mean field theory of quantized deep networks: The quantization--depth trade-off

Reference 113

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Observation 445548d9-37e5-4226-a348-fa8e671b7684 · outbound

This paper cites The Expressive Power of Low Precision Softmax Transformers with (Summarized) Chain-of-Thought.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation The Expressive Power of Low Precision Softmax Transformers with (Summarized) Chain-of-Thought

Reference 114

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local_arxiv, observed 2026-07-30T23:41:00.083866Z

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source=arxiv_source observed=2026-07-30T23:38:38.524696Z digest=sha256:b32dfec27604f07ced63f1b2965e3b3d0e970c9c3413a9d8cc417a68bbebd4b1

Observation abdd753e-2a0b-4fe6-a30f-11e170ef24f0 · outbound

This paper cites QBB : Quantization with binary bases for LLMs.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation QBB : Quantization with binary bases for LLMs

Reference 115

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-07-30T23:38:38.527812Z digest=sha256:5fe3002523ba8b92f39a31419bc085df9c9629ac72a9d1bb7630fc3998692406

Observation f309ba33-2e10-478e-a477-f81d702f5c3a · outbound

This paper cites Burden, S.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Burden, S

Reference 116

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source=arxiv_source observed=2026-07-30T23:38:38.530497Z digest=sha256:5ec87266d8ddb0a4e791e068ac50a8026a5948b2bad3fa54dc5b7cc6328050dd

Observation e7b17d2b-25f3-4cd6-8b03-727f680c92a0 · outbound

This paper cites How smooth is attention? In Proceedings of the 41st International Conference on Machine Learning, volume 235 of Proceedings of Machine Learning Research, pages 5817--5840, 2024.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation How smooth is attention? In Proceedings of the 41st International Conference on Machine Learning, volume 235 of Proceedings of Machine Learning Research, pages 5817--5840, 2024

Reference 117

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source=arxiv_source observed=2026-07-30T23:38:38.533210Z digest=sha256:509f045f5806062f992cd55d829e6df67d6ec50c50f21fcc40ccb1b45b3ee186

Observation 9c0d7003-0c65-4e65-bc96-ed8795b805bd · outbound

This paper cites Every bit counts: A theoretical study of precision--expressivity tradeoffs in quantized transformers.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Every bit counts: A theoretical study of precision--expressivity tradeoffs in quantized transformers

Reference 118

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source=arxiv_source observed=2026-07-30T23:38:38.536014Z digest=sha256:5d1a4fa4d320581ae21f3f1b5e9f58316fcfbe23b82726c225468087b746fa94

Observation b302f70c-91d0-4c63-9eea-9dc1a452b678 · outbound

This paper cites an unresolved cited work.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Unresolved cited work

Reference 119

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source=arxiv_source observed=2026-07-30T23:38:38.538485Z digest=sha256:8efe46d4bb4733da09c7764d11688c28e807bc98235c7632128a27d5a857043b

Observation 5b03b395-8ccf-4b4f-9baa-67cb527c11af · outbound

This paper cites Theoretical linear convergence of unfolded ISTA and its practical weights and thresholds.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Theoretical linear convergence of unfolded ISTA and its practical weights and thresholds

Reference 120

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source=arxiv_source observed=2026-07-30T23:38:38.541570Z digest=sha256:9484f73dc658d6efe9c8b2ed3c10ccdc7e9ebb66d3200e6c6f2657a2b3a29538

Observation e8e163ab-eb6b-40af-acf9-173604ef4844 · outbound

This paper cites Efficient Quantization of Mixture-of-Experts with Theoretical Generalization Guarantees.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Efficient Quantization of Mixture-of-Experts with Theoretical Generalization Guarantees

Reference 121

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source=arxiv_source observed=2026-07-30T23:38:38.544125Z digest=sha256:c46a747b5ef6f6bb2cd2c4cb691e2b15b5d01c1310eec971fd56f5ce976e13ef

Observation f42e3153-c545-45bd-b5d0-19053004a9d1 · outbound

This paper cites Modal occupation measures and LMI relaxations for nonlinear switched systems control.

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation Modal occupation measures and LMI relaxations for nonlinear switched systems control

Reference 122

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verified exact
doi, observed 2026-07-30T23:40:59.676606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-07-30T23:38:38.546981Z digest=sha256:e748ad575bbf3bc929de398ae38d0e8c84355a856b4757e3fc627eb4bdf258cd

Pith citing papers

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