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Paper Citation Record · LEDGER

EXAdam: The Power of Adaptive Cross-Moments

As of 18 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2412.20302.

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

pith.paper-citation-record.v1
2412.20302 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:29:16.991566Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T22:10:49.683444Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d611ce62-62b2-447a-945a-c5d03f4e7c70 · outbound

This paper cites Kingma and Jimmy Ba.

EXAdam: The Power of Adaptive Cross-Moments Kingma and Jimmy Ba

Reference 1

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unresolved
no resolver link, observed 2026-08-10T23:29:16.888429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.888429Z digest=sha256:6699ca5a71c8ebb06760adec56b61f4aaae5d59e22d187047457283e9ecee717

Observation 06d12b21-3a93-4bdd-a55e-b8ce03845fef · outbound

This paper cites The cifar-10 dataset, 2014.

EXAdam: The Power of Adaptive Cross-Moments The cifar-10 dataset, 2014

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:29:17.292387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c98b85db-3176-4374-b9ce-1da4ba5d5fe5 · outbound

This paper cites Wilson, Rebecca Roelofs, Mitchell Stern, Nathan Srebro, and Benjamin Recht.

EXAdam: The Power of Adaptive Cross-Moments Wilson, Rebecca Roelofs, Mitchell Stern, Nathan Srebro, and Benjamin Recht

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:29:17.277659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:29:16.898786Z digest=sha256:03ed5db6fe453f0f96abe6689c9fe7513657ca5b5b84ec57b563cf231dd4eaed

Observation 9de60b19-dc8f-4dc3-a85b-b420e1bcd918 · outbound

This paper cites On large-batch training for deep learning: Generalization gap and sharp minima, 2017.

EXAdam: The Power of Adaptive Cross-Moments On large-batch training for deep learning: Generalization gap and sharp minima, 2017

Reference 4

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unresolved
no resolver link, observed 2026-08-10T23:29:16.904558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.904558Z digest=sha256:9d5698f681c502eec16380274aac24e5c3bd3c15340bd6c8f0cb7aa02d94ea8c

Observation b5bff45f-74a6-44d6-b30f-a0bb6329f9d0 · outbound

This paper cites Sharp minima can generalize for deep nets, 2017.

EXAdam: The Power of Adaptive Cross-Moments Sharp minima can generalize for deep nets, 2017

Reference 5

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unresolved
no resolver link, observed 2026-08-10T23:29:16.909718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.909718Z digest=sha256:4bb587145f3ca63f4df92ce08818e128ac167dbba14309575b8cae198505ca17

Observation 2cbae452-ef88-4758-bcf8-e2c0084c8e57 · outbound

This paper cites an unresolved cited work.

EXAdam: The Power of Adaptive Cross-Moments Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:29:17.240618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:29:16.914558Z digest=sha256:512b354633befd9013e97bc4822df172dfdbacc1ef31398b87fd5f168784c112

Observation 30f0cddb-09fb-4144-bd8f-07f58221155b · outbound

This paper cites Dahl, and Geoffrey E.

EXAdam: The Power of Adaptive Cross-Moments Dahl, and Geoffrey E

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:29:17.225549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:29:16.920455Z digest=sha256:3f70fece7a1cdfcd3e02d3d62d6e36c5a59df5f441efc83220408493ec66405b

Observation 40448947-d9e6-44fc-bf8e-b531f893ad7a · outbound

This paper cites On the momentum term in gradient descent learning algorithms.

EXAdam: The Power of Adaptive Cross-Moments On the momentum term in gradient descent learning algorithms

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:29:17.210087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:29:16.925018Z digest=sha256:204f259c917d9d408590e7029c892048cfb034a23f0c085a18b2a9bcf554916d

Observation 3ae48589-efdb-4a37-b204-6f4267cc1d06 · outbound

This paper cites An overview of gradient descent optimization algorithms.

EXAdam: The Power of Adaptive Cross-Moments An overview of gradient descent optimization algorithms

Reference 9

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no resolver link, observed 2026-08-10T23:29:16.930323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.930323Z digest=sha256:6363d50cc09e41343a9f1b34cdbfa4913150f76ac2bde0c3e6bbb4191fa55ea8

Observation 1a2b96db-49ff-4635-852e-5a49b0c61bf1 · outbound

This paper cites Why momentum really works.

EXAdam: The Power of Adaptive Cross-Moments Why momentum really works

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:29:17.194184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1d795d97-8256-4787-95b8-042423234d0d · outbound

This paper cites Lecture 6.5-rmsprop: Divide the gradient by a running average of its recent magnitude.

EXAdam: The Power of Adaptive Cross-Moments Lecture 6.5-rmsprop: Divide the gradient by a running average of its recent magnitude

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:29:17.178757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation fa8194f0-b3f7-494a-a913-82a3dc8759fa · outbound

This paper cites On the Convergence of Adam and Beyond.

EXAdam: The Power of Adaptive Cross-Moments On the Convergence of Adam and Beyond

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-10T23:29:16.944786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.944786Z digest=sha256:4f2cf062c37b7dbd6efcd5a6f50a347cb4639cc6d8433b5df54321553eec6547

Observation 72bf50db-1a8b-4014-8be3-a3112de8cef2 · outbound

This paper cites Decoupled weight decay regularization, 2019.

EXAdam: The Power of Adaptive Cross-Moments Decoupled weight decay regularization, 2019

Reference 13

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unresolved
no resolver link, observed 2026-08-10T23:29:16.950275Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.950275Z digest=sha256:aade5f059dc126ea9b30672b7edba7ee089f91c3fda4f5131ddf3e1c7f0b658f

Observation be649e6c-5c14-49cf-8532-a017143e370c · outbound

This paper cites Adaptive Gradient Methods with Dynamic Bound of Learning Rate.

EXAdam: The Power of Adaptive Cross-Moments Adaptive Gradient Methods with Dynamic Bound of Learning Rate

Reference 14

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no resolver link, observed 2026-08-10T23:29:16.954633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.954633Z digest=sha256:4fd1b7d8daf224358968e4851dbc53dafc7d6e4fe6aef92f4109fb739dbb35ed

Observation 9a956e9b-7855-4ed6-bfbc-53ce0570b3fa · outbound

This paper cites Pytorch: An imperative style, high-performance deep learning library, 2019.

EXAdam: The Power of Adaptive Cross-Moments Pytorch: An imperative style, high-performance deep learning library, 2019

Reference 15

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unresolved
no resolver link, observed 2026-08-10T23:29:16.960128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.960128Z digest=sha256:8f9c9438b7f189c777ee1c6dbadadd1b363c0b42ae4929f5a000662c06e9a75c

Observation e17ca55c-0051-49c5-aa33-e2ff8eda9358 · outbound

This paper cites an unresolved cited work.

EXAdam: The Power of Adaptive Cross-Moments Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-10T23:29:16.965483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.965483Z digest=sha256:e99845043bd1d587a38677d4bafccb5726b4d2b3ce59a997504b4c82a8573b2c

Observation 8b20bb09-113b-4fb0-be34-bece224f23e3 · outbound

This paper cites Improving language understanding by generative pre-training.

EXAdam: The Power of Adaptive Cross-Moments Improving language understanding by generative pre-training

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T23:29:16.969810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.969810Z digest=sha256:db5eefabd735d91f5e858c191db3bbabb162153cb01991bdd9beaf627b9568a5

Observation 813d0758-0b9d-4feb-b213-c0c8a900d2f2 · outbound

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

EXAdam: The Power of Adaptive Cross-Moments Gomez, Lukasz Kaiser, and Illia Polosukhin

Reference 18

Resolution
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no resolver link, observed 2026-08-10T23:29:16.974229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.974229Z digest=sha256:9977327478388baf5bb567106e0f3675acf244dc813ce437b85a29d45d803f58

Observation f677cce4-95bb-4f8d-b373-2ae51add92d5 · outbound

This paper cites Adafactor: Adaptive learning rates with sublinear memory cost, 2018.

EXAdam: The Power of Adaptive Cross-Moments Adafactor: Adaptive learning rates with sublinear memory cost, 2018

Reference 19

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raw_fallback, observed 2026-08-10T23:29:17.115437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f602f037-a511-40b3-997d-e7c066e893c6 · outbound

This paper cites The ademamix optimizer: Better, faster, older, 2024.

EXAdam: The Power of Adaptive Cross-Moments The ademamix optimizer: Better, faster, older, 2024

Reference 20

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no resolver link, observed 2026-08-10T23:29:16.982871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:29:16.982871Z digest=sha256:8181e3b51387e67305ccd44f47573fc577f3ab80c2f63aef6bf20019842fc47e

Observation e65f853c-7016-4b34-94e1-332c95a288f0 · outbound

This paper cites signsgd: Compressed optimisation for non-convex problems, 2018.

EXAdam: The Power of Adaptive Cross-Moments signsgd: Compressed optimisation for non-convex problems, 2018

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:29:17.091573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:29:16.987375Z digest=sha256:b97a5e754b914e27df9fe58bc555bca5fb093a7ac3ad3c4fb597bccd96531b18

Observation 66f07678-69b8-41b3-8fab-a0ceca6adc6b · outbound

This paper cites Deconstructing what makes a good optimizer for language models, 2024.

EXAdam: The Power of Adaptive Cross-Moments Deconstructing what makes a good optimizer for language models, 2024

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:29:17.076050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:29:16.991566Z digest=sha256:66aedd5915aef6f252fe84615dec86548c7c7282ca49a59199988a4ba1ff6bfd

Pith citing papers

Observation f7b01b4a-81e4-4909-800b-2b2cc7ee8afa · inbound

OmniOpt: Taxonomy, Geometry, and Benchmarking of Modern Optimizers cites this paper.

OmniOpt: Taxonomy, Geometry, and Benchmarking of Modern Optimizers EXAdam: The Power of Adaptive Cross-Moments

Reference 1

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no resolver link, observed 2026-07-11T22:10:49.683444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T22:10:49.683444Z digest=sha256:73fdc56a17a3aa503e9fda06fb8be5b0e33e774cd4b0fac19e075a264d9fbcbd