Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-14T23:37:33.106390Z
Paper Citation Record · LEDGER
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory
As of 5 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 6 inbound Pith citation observations for arXiv:2603.26554.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-28T11:24:38.292078Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-04T06:29:38.170656Z
Reference resolution
64 of 64 outbound references displayed
- verified exact26
- verified fuzzy28
- unresolved2
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- malformed identifier1
- metadata mismatch7
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation bb00fe68-5dc0-4c74-ba4e-e5b3d945a46c · outbound
This paper cites Physics of Language Models: Part 3.3, Knowledge Capacity Scaling Laws.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Physics of Language Models: Part 3.3, Knowledge Capacity Scaling Laws
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.515544Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 743cfa7f-bed9-4b41-afa0-8b71adfe258f · outbound
This paper cites Newton-Schulz.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Newton-Schulz
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.033976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 11b7d7db-d016-4d39-b135-021952e9cbfb · outbound
This paper cites Old Optimizer, New Norm: An Anthology.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Old Optimizer, New Norm: An Anthology
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T07:27:53.041705Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 2424849f-1ad0-4600-9307-e6da3f8dbbcc · outbound
This paper cites Birth of a transformer: A memory viewpoint.Advances in Neural Information Processing Systems.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Birth of a transformer: A memory viewpoint.Advances in Neural Information Processing Systems
Reference 4
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 85378cda-0043-4862-8178-49dd11c319e3 · outbound
This paper cites A Dynamical Model of Neural Scaling Laws.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory A Dynamical Model of Neural Scaling Laws
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.414959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 3508207b-76bc-417f-8724-c95839ecc2b3 · outbound
This paper cites Scaling laws for associative memories.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Scaling laws for associative memories
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.043130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 254d16b9-b71d-4602-894a-49e2ed10a319 · outbound
This paper cites Optimal rates for the regularized least-squares algorithm.Foundations of Computational mathematics, 7(3):331–368.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Optimal rates for the regularized least-squares algorithm.Foundations of Computational mathematics, 7(3):331–368
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:16.995960Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 2a95a4d8-d9d9-4945-b0d7-740a9d191b27 · outbound
This paper cites Muon optimizes under spectral norm constraints.arXiv preprint arXiv:2506.15054.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Muon optimizes under spectral norm constraints.arXiv preprint arXiv:2506.15054
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.554261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation be5e1174-f01f-4ddf-93aa-d1b9151d96f9 · outbound
This paper cites When do spectral gradient updates help in deep learning?arXiv preprint arXiv:2512.04299.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory When do spectral gradient updates help in deep learning?arXiv preprint arXiv:2512.04299
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.466241Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation de10de3b-4018-467d-8018-9a1f560bd444 · outbound
This paper cites Adaptive subgradient methods for online learn- ing and stochastic optimization.Journal of Machine Learning Research, 12(61):2121–2159.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Adaptive subgradient methods for online learn- ing and stochastic optimization.Journal of Machine Learning Research, 12(61):2121–2159
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.005505Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 6dd517af-9c3d-4625-ad68-a6912ab5c55b · outbound
This paper cites Toy models of superposition.Transformer Circuits Thread.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Toy models of superposition.Transformer Circuits Thread
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.000748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 067830cc-2300-46ad-9963-c415dc90f3e7 · outbound
This paper cites arXiv preprint arXiv:2502.04664 , year=.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory arXiv preprint arXiv:2502.04664 , year=
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.357736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation df47034a-be6e-4c53-afd9-564ee5c509b1 · outbound
This paper cites Dimension-adapted Momentum Outscales SGD.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Dimension-adapted Momentum Outscales SGD
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.331834Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation cf9111a5-ae9d-46c0-ac82-9fd58e8b90aa · outbound
This paper cites Transformer feed-forward layers are key-value memories.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Transformer feed-forward layers are key-value memories
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:16.967599Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 3cbf93d4-6e92-4984-96dc-ef22728edaf5 · outbound
This paper cites Dissecting recall of fac- tual associations in auto-regressive language models.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Dissecting recall of fac- tual associations in auto-regressive language models
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:16.986205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 3ec53b03-3ca1-4d02-a3cd-072a6908bbd3 · outbound
This paper cites Gonon, A.-A.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Gonon, A.-A
Reference 16
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-14T23:38:16.508105Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 793d38da-0b97-4dfc-aa0b-91a640530550 · outbound
This paper cites Shampoo: Preconditioned stochastic tensor optimization.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Shampoo: Preconditioned stochastic tensor optimization
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.078708Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 39acb91a-d8cc-49d7-8a13-cbf2f33711bd · outbound
This paper cites SIAM.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory SIAM
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.059840Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 460598f2-e8dc-4bb3-8b1a-1fe04348c4d8 · outbound
This paper cites Neural networks and physical systems with emergent collective computa- tional abilities.Proceedings of the national academy of sciences, 79(8):2554–2558.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Neural networks and physical systems with emergent collective computa- tional abilities.Proceedings of the national academy of sciences, 79(8):2554–2558
Reference 19
- Resolution
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- raw_fallback, observed 2026-05-14T23:38:16.972090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 17b03d0f-dc2b-498a-b03d-95abe53c886c · outbound
This paper cites arXiv preprint arXiv:2602.08232 , year=.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory arXiv preprint arXiv:2602.08232 , year=
Reference 20
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-14T23:38:16.451791Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 4da39e7e-a2ab-47dd-9025-ea6f639ac153 · outbound
This paper cites an unresolved cited work.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Unresolved cited work
Reference 21
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation cbde0707-c161-4ff3-9b53-f5a3bd506f31 · outbound
This paper cites Muon: An optimizer for hidden layers in neural networks.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Muon: An optimizer for hidden layers in neural networks
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:16.962122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 0af8acdd-8926-4f1e-a8a2-e1791711e595 · outbound
This paper cites Convergence of muon with newton-schulz.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Convergence of muon with newton-schulz
Reference 23
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.305368Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 03177960-fee3-43b1-ac29-b38f74be0460 · outbound
This paper cites Scaling laws of SignSGD in linear regression: When does it outperform SGD? InThe Fourteenth International Conference on Learning Representations.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Scaling laws of SignSGD in linear regression: When does it outperform SGD? InThe Fourteenth International Conference on Learning Representations
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.096627Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation c91610e5-99ec-4e1d-911e-3fcc914deb81 · outbound
This paper cites Adam: A Method for Stochastic Optimization.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Adam: A Method for Stochastic Optimization
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-05-14T23:38:16.530127Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 585c8541-fe43-4c7c-9963-d7a1e85f2a97 · outbound
This paper cites On Lipschitz functions of normal operators.Proceedings of the American Mathematical Society, 94(3):416–418.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory On Lipschitz functions of normal operators.Proceedings of the American Mathematical Society, 94(3):416–418
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.127793Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 8d643344-f022-4a79-94a6-ac42419f4fdf · outbound
This paper cites Correlation matrix memories.IEEE Transactions on Computers, C-21: 353–359.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Correlation matrix memories.IEEE Transactions on Computers, C-21: 353–359
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:16.957367Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 56b85639-3a29-4ce3-a1b2-e06552f43fb4 · outbound
This paper cites Scaling Laws for Gradient Descent and Sign Descent for Linear Bigram Models under Zipf's Law.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Scaling Laws for Gradient Descent and Sign Descent for Linear Bigram Models under Zipf's Law
Reference 28
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.479805Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation e15e8563-06e9-4b54-8700-80849fe01ccc · outbound
This paper cites Heavy- tailed class imbalance and why adam outperforms gradient descent on language models.Ad- vances in Neural Information Processing Systems, 37:30106–30148.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Heavy- tailed class imbalance and why adam outperforms gradient descent on language models.Ad- vances in Neural Information Processing Systems, 37:30106–30148
Reference 29
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- raw_fallback, observed 2026-05-14T23:38:17.019572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation f62ece5c-c11a-4e8e-871f-c9bf9ce3b214 · outbound
This paper cites ArXiv Preprint: 2505.21799 , Year =.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory ArXiv Preprint: 2505.21799 , Year =
Reference 30
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-14T23:38:16.523842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 7255f0ad-6231-45c9-9a8e-a18e31036b34 · outbound
This paper cites Muon in Associative Memory Learning: Training Dynamics and Scaling Laws.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Muon in Associative Memory Learning: Training Dynamics and Scaling Laws
Reference 31
- Resolution
- verified exact
- arxiv_id, observed 2026-05-26T03:04:11.161880Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation ee6d3d6b-cf1f-46ad-bbec-db4b20c783f9 · outbound
This paper cites Scaling Laws in Linear Regression: Compute, Parameters, and Data.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Scaling Laws in Linear Regression: Compute, Parameters, and Data
Reference 32
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.542266Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 515d4ac9-d67d-4f32-a8e1-883ce029ccd2 · outbound
This paper cites Muon is Scalable for LLM Training.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Muon is Scalable for LLM Training
Reference 33
- Resolution
- verified exact
- local_arxiv, observed 2026-05-14T23:38:16.547879Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 9cf081e8-c334-426b-93b4-1e4e2501b479 · outbound
This paper cites Decoupled Weight Decay Regularization.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Decoupled Weight Decay Regularization
Reference 34
- Resolution
- verified exact
- local_arxiv, observed 2026-05-14T23:38:16.500557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation fc928433-94b1-4212-9e71-142905a41c51 · outbound
This paper cites Charles H Martin and Christopher Hinrichs.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Charles H Martin and Christopher Hinrichs
Reference 35
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-14T23:38:16.340518Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation c1d8fa1d-4d62-4aac-bc68-c2158538de76 · outbound
This paper cites Optimizing neural networks with kronecker-factored ap- proximate curvature.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Optimizing neural networks with kronecker-factored ap- proximate curvature
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.029769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 52df7bb2-5aa9-44fa-bcf3-85e6fbdb3b5b · outbound
This paper cites Locating and editing factual associations in GPT.Advances in neural information processing systems, 35:17359–17372.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Locating and editing factual associations in GPT.Advances in neural information processing systems, 35:17359–17372
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.071300Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation ee10091f-432d-4fdc-a988-63b7ae3f2bcb · outbound
This paper cites The quantization model of neural scaling.Advances in Neural Information Processing Systems, 36.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory The quantization model of neural scaling.Advances in Neural Information Processing Systems, 36
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:16.952522Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 9652324b-2881-457a-a21f-a48ce450962a · outbound
This paper cites Understanding Factual Recall in Transformers via Associative Memories.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Understanding Factual Recall in Transformers via Associative Memories
Reference 39
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.323638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 38449fd9-a742-405f-9039-8960522ea2be · outbound
This paper cites In-context Learning and Induction Heads.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory In-context Learning and Induction Heads
Reference 40
- Resolution
- verified exact
- local_arxiv, observed 2026-05-14T23:38:16.445015Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation cb119a6e-fe54-4441-90fe-90bce26fd82a · outbound
This paper cites 4+3 phases of compute-optimal neural scaling laws.Advances in Neural Information Processing Systems.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory 4+3 phases of compute-optimal neural scaling laws.Advances in Neural Information Processing Systems
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:16.976661Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation a3357c4a-0105-448e-9e86-a375c06cb453 · outbound
This paper cites Piantadosi.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Piantadosi
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.051231Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation a0368ba5-3ff9-4392-a1b4-99ff432a53ca · outbound
This paper cites arXiv:2504.19983 , year=.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory arXiv:2504.19983 , year=
Reference 43
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-14T23:38:16.472504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation b2a2bacf-2e2f-4bf2-93f3-42d750fd3f6d · outbound
This paper cites an unresolved cited work.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Unresolved cited work
Reference 44
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T23:38:17.064020Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation ffa00a67-dea1-449e-9271-087b72657ddf · outbound
This paper cites The smallest singular value of a random rectangular matrix.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory The smallest singular value of a random rectangular matrix
Reference 45
- Resolution
- verified exact
- local_arxiv, observed 2026-05-14T23:38:16.458494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation ee9c8335-0c17-4d77-88b7-64bf301ad06a · outbound
This paper cites Non-asymptotic theory of random matrices: extreme singular values.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Non-asymptotic theory of random matrices: extreme singular values
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T23:38:17.024539Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 008b7f8f-7945-4c3e-ad8a-2123a4bb20e1 · outbound
This paper cites Transformers, parallel computation, and logarithmic depth.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Transformers, parallel computation, and logarithmic depth
Reference 47
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.437964Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation c9deeb18-9d70-42b9-8189-95b541cf1845 · outbound
This paper cites Benchmarking Optimizers for Large Language Model Pretraining.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Benchmarking Optimizers for Large Language Model Pretraining
Reference 48
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:38:16.407545Z
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Observation 074967e5-1d82-4e91-afb3-184c5c861a82 · outbound
This paper cites On the Convergence Analysis of Muon.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory On the Convergence Analysis of Muon
Reference 49
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- local_arxiv, observed 2026-05-14T23:38:16.421053Z
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Observation 13da52bd-587b-48e9-98a1-c49402b1d168 · outbound
This paper cites ArXiv Preprint: 2511.00674 , Year =.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory ArXiv Preprint: 2511.00674 , Year =
Reference 50
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- arxiv_id, observed 2026-05-14T23:38:16.486707Z
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Observation dbf72499-5948-40f2-be8d-680aa900536a · outbound
This paper cites How Muon’s spectral design benefits generalization: A study on imbalanced data.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory How Muon’s spectral design benefits generalization: A study on imbalanced data
Reference 51
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- arxiv_id, observed 2026-05-14T23:38:16.535730Z
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Observation e4a568c5-ac78-4e30-8af7-588814b66a7f · outbound
This paper cites Vershynin.High-dimensional probability: An introduction with applications in data sci- ence.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Vershynin.High-dimensional probability: An introduction with applications in data sci- ence
Reference 52
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- raw_fallback, observed 2026-05-14T23:38:17.091516Z
Source-reported events for the cited work
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Observation 35963b09-de79-406e-8bb3-64d627746ba8 · outbound
This paper cites Learning to recall with transformers beyond orthogonal embeddings.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Learning to recall with transformers beyond orthogonal embeddings
Reference 53
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- raw_fallback, observed 2026-05-14T23:38:17.112132Z
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Observation 8cab3970-ffd2-4120-9e6c-accc89152448 · outbound
This paper cites SOAP: Improving and Stabilizing Shampoo using Adam.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory SOAP: Improving and Stabilizing Shampoo using Adam
Reference 54
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- arxiv_id, observed 2026-05-15T01:02:28.631723Z
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Observation 0b2a07ff-1bfc-40bf-872b-77107b7efbe6 · outbound
This paper cites Wainwright.High-dimensional statistics: A non-asymptotic viewpoint.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Wainwright.High-dimensional statistics: A non-asymptotic viewpoint
Reference 55
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- raw_fallback, observed 2026-05-14T23:38:17.009925Z
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Observation 484df34f-a11f-4f2f-a8e6-f15ed0b3b3c6 · outbound
This paper cites High-dimensional isotropic scaling dynamics of Muon and SGD.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory High-dimensional isotropic scaling dynamics of Muon and SGD
Reference 56
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- raw_fallback, observed 2026-05-14T23:38:17.014497Z
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Observation a5344549-32cf-4cf2-8bf8-ef077065c8e8 · outbound
This paper cites Muon outperforms adam in tail-end associative memory learning.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Muon outperforms adam in tail-end associative memory learning
Reference 57
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- arxiv_id, observed 2026-05-14T23:38:16.430815Z
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Observation c1fafadd-a6b4-4052-9480-75040c60f282 · outbound
This paper cites Learning Compositional Functions with Transformers from Easy-to-Hard Data.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Learning Compositional Functions with Transformers from Easy-to-Hard Data
Reference 58
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-14T23:38:16.390943Z
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Observation 1f5344e2-3042-47f1-a1c2-303c255b71b2 · outbound
This paper cites Fantastic Pretraining Optimizers and Where to Find Them.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Fantastic Pretraining Optimizers and Where to Find Them
Reference 59
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- arxiv_id, observed 2026-05-14T23:38:16.348622Z
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Observation ad79f28d-ec35-45be-9315-b9c8343618bc · outbound
This paper cites Non- holographic associative memory.Nature, 222(5197):960–962.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Non- holographic associative memory.Nature, 222(5197):960–962
Reference 60
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- raw_fallback, observed 2026-05-14T23:38:17.103542Z
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Observation d0aa1f5c-3178-4ad9-972b-f84246941acc · outbound
This paper cites Structured Preconditioners in Adaptive Optimization: A Unified Analysis.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Structured Preconditioners in Adaptive Optimization: A Unified Analysis
Reference 61
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- arxiv_id, observed 2026-05-14T23:38:16.383377Z
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Observation f6d17607-fdfb-4bdb-be7a-e73a6220dc27 · outbound
This paper cites Provable benefit of sign descent: A minimal model under heavy-tailed class imbalance.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Provable benefit of sign descent: A minimal model under heavy-tailed class imbalance
Reference 62
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- arxiv_id, observed 2026-05-14T23:38:16.365235Z
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Observation ba46ade2-d612-499d-8374-82caabb27c12 · outbound
This paper cites Now supposeB≳d α.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Now supposeB≳d α
Reference 63
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- raw_fallback, observed 2026-05-14T23:38:16.990961Z
Source-reported events for the cited work
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Observation 5a2d0352-d8a5-4f6f-8c74-9bbe25fa5aac · outbound
This paper cites sup (u,v)∈T Xu,v # ≤E.
Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory sup (u,v)∈T Xu,v # ≤E
Reference 64
- Resolution
- malformed identifier
- raw_fallback, observed 2026-05-14T23:38:16.981385Z
Source-reported events for the cited work
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Pith citing papers
Observation 4043c371-ee47-4af6-8152-efe3a5407f4c · inbound
Sharp Capacity Thresholds in Linear Associative Memory: From Winner-Take-All to Listwise Retrieval cites this paper.
Sharp Capacity Thresholds in Linear Associative Memory: From Winner-Take-All to Listwise Retrieval Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory
Reference 5
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- verified exact
- local_arxiv, observed 2026-05-11T18:16:10.033987Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation d1a55712-abce-4ef3-9c3e-d81ee3b41b16 · inbound
Phases of Muon: When Muon Eclipses SignSGD cites this paper.
Phases of Muon: When Muon Eclipses SignSGD Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory
Reference 38
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- local_arxiv, observed 2026-05-12T06:41:28.021389Z
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Observation 1089e6b3-8dbc-4b2a-8dc7-22dd750cde91 · inbound
Factual recall in linear associative memories: sharp asymptotics and mechanistic insights cites this paper.
Factual recall in linear associative memories: sharp asymptotics and mechanistic insights Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory
Reference 10
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- local_arxiv, observed 2026-05-12T06:31:25.668866Z
Source-reported events for the cited work
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Observation 085caa9e-fe0d-4465-98bd-af3f230ddaeb · inbound
Denoise First, Orthogonalize Later: Understanding Momentum in Muon via Spectral Filtering cites this paper.
Denoise First, Orthogonalize Later: Understanding Momentum in Muon via Spectral Filtering Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory
Reference 27
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- local_arxiv, observed 2026-07-02T01:56:27.799457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 5d03af4e-8fb1-443a-b954-05048816f1a4 · inbound
Why Muon Outperforms Adam: A Curvature Perspective cites this paper.
Why Muon Outperforms Adam: A Curvature Perspective Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory
Reference 156
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- local_arxiv, observed 2026-07-02T07:06:45.027082Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation c1cb717a-3335-4fa7-89a9-ddca762ea2f8 · inbound
Towards Understanding the Power and Limits of the Muon Optimizer: A River-Valley Perspective cites this paper.
Towards Understanding the Power and Limits of the Muon Optimizer: A River-Valley Perspective Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory
Reference 35
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- local_arxiv, observed 2026-07-04T06:29:38.171940Z
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