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Paper Citation Record · LEDGER

Spectral phase transitions in Gaussian multi-index models

As of 20 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 0 inbound Pith citation observations for arXiv:2608.12183.

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

pith.paper-citation-record.v1
2608.12183 v1

Coverage vector

measured 71 of 71 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:25:15.258156Z

measured 71 of 71 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

71 of 71 outbound references displayed

  • verified exact2
  • verified fuzzy43
  • unresolved26
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 06c9f946-3942-4b0b-b3b4-860297e27f59 · outbound

This paper cites SGD learning on neural networks: leap complex- ity and saddle-to-saddle dynamics.

Spectral phase transitions in Gaussian multi-index models SGD learning on neural networks: leap complex- ity and saddle-to-saddle dynamics

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 40d439c2-ff46-42cc-a502-4ae8e6186c10 · outbound

This paper cites Theory Related Fields173, 293–373 (2019).

Spectral phase transitions in Gaussian multi-index models Theory Related Fields173, 293–373 (2019)

Reference 2

Resolution
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Observation 576371dc-3d71-44c8-b47b-e34cdc34cb24 · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 3

Resolution
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Source-reported events for the cited work

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Observation 9ebf5826-7a5e-419d-b162-e102f23251f1 · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 26b509c3-3c33-417f-a516-2d54dfd424c8 · outbound

This paper cites Overparametrization bends the landscape: BBP transitions at initialization in simple neural networks.

Spectral phase transitions in Gaussian multi-index models Overparametrization bends the landscape: BBP transitions at initialization in simple neural networks

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 796e3e5b-daee-4283-aa7c-8f5770c145ae · outbound

This paper cites Repetita Iuvant: Data Repetition Allows SGD to Learn High-Dimensional Multi-Index Functions.

Spectral phase transitions in Gaussian multi-index models Repetita Iuvant: Data Repetition Allows SGD to Learn High-Dimensional Multi-Index Functions

Reference 6

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 81374f7b-8589-4f4d-8305-adf312679dbd · outbound

This paper cites Aubin, A.

Spectral phase transitions in Gaussian multi-index models Aubin, A

Reference 7

Resolution
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Source-reported events for the cited work

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Observation c4780c07-f4a0-48d4-8f2d-8d7b284ff112 · outbound

This paper cites Bai and J.

Spectral phase transitions in Gaussian multi-index models Bai and J

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 659bf8b1-ef51-4d55-9bea-dba1cce40974 · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 83bbba85-3615-4109-aba8-c2e04e72aad3 · outbound

This paper cites Bandeira, G.

Spectral phase transitions in Gaussian multi-index models Bandeira, G

Reference 10

Resolution
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Source-reported events for the cited work

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Observation a0f04110-52ad-42b5-8daf-ecf36a63d8b9 · outbound

This paper cites Ben Arous, R.

Spectral phase transitions in Gaussian multi-index models Ben Arous, R

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 68afabbf-f95a-43ad-936c-6b4d3865a210 · outbound

This paper cites Ben Arous, R.

Spectral phase transitions in Gaussian multi-index models Ben Arous, R

Reference 12

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e8832653-f29f-4cc6-935e-74e21f5552e7 · outbound

This paper cites Ben Arous, R.

Spectral phase transitions in Gaussian multi-index models Ben Arous, R

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation c704ea98-71c5-4811-b645-ba74615c0baa · outbound

This paper cites Bietti, J.

Spectral phase transitions in Gaussian multi-index models Bietti, J

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 93de1ec2-7e1e-4168-b842-a67ecf566aff · outbound

This paper cites Escape dynamics and implicit bias of one-pass SGD in overparameterized quadratic networks.

Spectral phase transitions in Gaussian multi-index models Escape dynamics and implicit bias of one-pass SGD in overparameterized quadratic networks

Reference 15

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0b62dfc1-6721-4bfe-bf2e-e7de95d1a3d4 · outbound

This paper cites Bolthausen,An iterative construction of solutions of the TAP equations for the Sherrington- Kirkpatrick model, Comm.

Spectral phase transitions in Gaussian multi-index models Bolthausen,An iterative construction of solutions of the TAP equations for the Sherrington- Kirkpatrick model, Comm

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation c598ed43-0132-418b-a8e8-84eb07d7dadc · outbound

This paper cites Bonnaire, G.

Spectral phase transitions in Gaussian multi-index models Bonnaire, G

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 008347a5-aaa6-49a3-bf1a-b0e1342f0fcb · outbound

This paper cites Bruna and D.

Spectral phase transitions in Gaussian multi-index models Bruna and D

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 81eb85da-79a8-45c8-be73-385f55c0da89 · outbound

This paper cites Random Matrix Theory of Early-Stopped Gradient Flow: A Transient BBP Scenario.

Spectral phase transitions in Gaussian multi-index models Random Matrix Theory of Early-Stopped Gradient Flow: A Transient BBP Scenario

Reference 19

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 8831fe6d-aec4-4349-a434-764da3bcfd19 · outbound

This paper cites Collins-Woodfin, C.

Spectral phase transitions in Gaussian multi-index models Collins-Woodfin, C

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation da007663-3523-46c4-8798-add51143fb81 · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0e737131-2703-4654-a76e-d5537d185f37 · outbound

This paper cites The generative leap: tight sample complexity for efficiently learninggaussian multi-indexmodels.

Spectral phase transitions in Gaussian multi-index models The generative leap: tight sample complexity for efficiently learninggaussian multi-indexmodels

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation a5b1f322-bce0-4019-ac9f-c42c46c097eb · outbound

This paper cites Neural networks can learn representations with gradient descent.

Spectral phase transitions in Gaussian multi-index models Neural networks can learn representations with gradient descent

Reference 23

Resolution
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Source-reported events for the cited work

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Observation f7d217e9-6972-484c-9a52-a1814e2b2e29 · outbound

This paper cites The benefits of reusing batches for gradient descent in two-layer networks: breaking the curse of informa- tion and leap exponents.

Spectral phase transitions in Gaussian multi-index models The benefits of reusing batches for gradient descent in two-layer networks: breaking the curse of informa- tion and leap exponents

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation c4f50371-14cc-4241-833e-a6b8b581b800 · outbound

This paper cites Deep learning as neural low-degree filtering: a theory of hierarchical feature learning.

Spectral phase transitions in Gaussian multi-index models Deep learning as neural low-degree filtering: a theory of hierarchical feature learning

Reference 25

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation ea5d9c23-f804-4468-a251-c83d855ee098 · outbound

This paper cites Optimal spectral transitions in high-dimensional multi-index models.

Spectral phase transitions in Gaussian multi-index models Optimal spectral transitions in high-dimensional multi-index models

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation ee5a870e-2f7f-48b9-8049-2bbc780597c0 · outbound

This paper cites Defilippis, F.

Spectral phase transitions in Gaussian multi-index models Defilippis, F

Reference 27

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 08af7366-f650-4bcb-980a-338a0a590855 · outbound

This paper cites Optimal Spectral Algorithms for Correlated Two-view Models in High Dimensions.

Spectral phase transitions in Gaussian multi-index models Optimal Spectral Algorithms for Correlated Two-view Models in High Dimensions

Reference 28

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e9628978-2802-4d84-a923-64b1f5d1a9c2 · outbound

This paper cites The matrix Dyson equation and its applications for random matrices.

Spectral phase transitions in Gaussian multi-index models The matrix Dyson equation and its applications for random matrices

Reference 29

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation ceb34aa0-a7d9-438e-ad82-d128ce878f1c · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 30

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation e36ad489-f378-4794-97b8-fca23dd73e5c · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 31

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation b74a2263-3485-4ca6-9e9e-e4fbd47265f5 · outbound

This paper cites Gerbelot and R.

Spectral phase transitions in Gaussian multi-index models Gerbelot and R

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 840514fb-5623-4297-a0c2-bf173537eb1a · outbound

This paper cites Gesztesy and E.

Spectral phase transitions in Gaussian multi-index models Gesztesy and E

Reference 33

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 5c396a25-0b9c-4b5c-b0f8-f4f260eb9cfa · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 34

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8d4de211-f7c9-41cf-b611-fa30910acc3a · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 35

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation c92aadb1-bb8e-4fd4-b89d-5a4838e566be · outbound

This paper cites Javanmard and A.

Spectral phase transitions in Gaussian multi-index models Javanmard and A

Reference 36

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.111323Z digest=sha256:2f0886730ced8ea8f9a65b55ca48f44c92bf5cf229ab4e9149eaaa45c9f46a30

Observation 911033fe-001b-447c-96d4-02e059da0a9b · outbound

This paper cites Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery.

Spectral phase transitions in Gaussian multi-index models Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-16T00:25:15.115298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:25:15.115298Z digest=sha256:8fd4011c709a3a4d2a9a905181f0fc85579d1a30f8a4210b3c62f6b5373fd4ba

Observation 882b4c40-b02b-4fe1-9086-aa528d9651ad · outbound

This paper cites Lehner,Computing norms of free operators with matrix coefficients, Amer.

Spectral phase transitions in Gaussian multi-index models Lehner,Computing norms of free operators with matrix coefficients, Amer

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.230702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.120256Z digest=sha256:bbde0a067173bc650c47c53160c8922778c5a38956d6374a790943562421f7d8

Observation c96633fa-de3a-42ed-9aa1-502065e6e57c · outbound

This paper cites Li,Sliced inverse regression for dimension reduction, J.

Spectral phase transitions in Gaussian multi-index models Li,Sliced inverse regression for dimension reduction, J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.217313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.124137Z digest=sha256:9f2b59f3c04076093cdad265fa93622b2089c924778ad9b714d933bb765dce55

Observation 45ac7a1d-78a1-4012-8d68-eef0ff3e4f88 · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:25:16.204356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.128095Z digest=sha256:ea45f4565d49733a7196745526ee18b11cee6f1f77591bacc6264e171084f232

Observation ed7568be-9a85-4ba6-91c9-d4562a39afe4 · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:25:16.191268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.132181Z digest=sha256:79e6ddaaa79c79a1195eb14c3ab501dd88b129970462d45784c41fe6df096328

Observation ad7fcd6e-9104-450b-87ff-3f5fb390897a · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:25:16.178253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.136181Z digest=sha256:b1e004427c1766b0ab8c4a411a412fc17dbb9bcd9b7378dd71770f93a23e3ea5

Observation 357f882a-f952-4617-b32b-1ab5dcf09424 · outbound

This paper cites Construction of optimal spectral methods in phase retrieval.

Spectral phase transitions in Gaussian multi-index models Construction of optimal spectral methods in phase retrieval

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.165298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.140151Z digest=sha256:2320a88665bf0ae15647034c2518c6144e0f5df5c8b133bb0d81463aaf0a30d8

Observation 5a0326c0-2bed-471a-998a-6392fb61f52b · outbound

This paper cites Spectral phase transition and optimal PCA in block- structured spiked models.

Spectral phase transitions in Gaussian multi-index models Spectral phase transition and optimal PCA in block- structured spiked models

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.152154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.144289Z digest=sha256:2df1f1c16bb65e2b9bec446917c63d63c36cf5896e105d0f15c8e7461c56aaaf

Observation aa2472b5-f811-45e0-94af-e49d1759588a · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:25:16.138889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.148695Z digest=sha256:910e8cfc570fa1352bc507805d541f0677372c534fce1541b393182352bd0562

Observation 3a3c4e5b-4267-4dcf-8786-a5bdfdf9ac68 · outbound

This paper cites Mondelli and A.

Spectral phase transitions in Gaussian multi-index models Mondelli and A

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.126035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.153365Z digest=sha256:aea37ea43eb6d56ad0938d583438d4a6e1c37ca6ee256fa0b9b28f544105359b

Observation 1585f20d-4c7f-415e-9155-4ccab10adf93 · outbound

This paper cites Mondelli, C.

Spectral phase transitions in Gaussian multi-index models Mondelli, C

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.113351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.157445Z digest=sha256:cb3e1745b3af102f47457a9e1ccadd679569a55a672274fa589b5c7c441261db

Observation 68a0fbc9-d0b0-447f-8c5f-a313b416a749 · outbound

This paper cites Mondelli and R.

Spectral phase transitions in Gaussian multi-index models Mondelli and R

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.101027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.161450Z digest=sha256:e75ce945432c7d80a9970c84361c525e3ebc5d34f4353e884990b6447bf35c5e

Observation 440d89ea-4f4c-40dc-a7e0-6ae4313b9e74 · outbound

This paper cites Variational Formulas for the Spectrum of Block Wishart Matrices.

Spectral phase transitions in Gaussian multi-index models Variational Formulas for the Spectrum of Block Wishart Matrices

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-16T00:25:15.643114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.165315Z digest=sha256:8fc82a4f41bdbb0bacfb014bcf35ef293ac70c4ef7b58b759f32cd3ad22ba417

Observation 790e6ab5-9341-4d85-900b-67b55b156089 · outbound

This paper cites Montanari and Z.

Spectral phase transitions in Gaussian multi-index models Montanari and Z

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-16T00:25:15.169368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:25:15.169368Z digest=sha256:d28ab8c7c34627286d60c8a63306b4676f6112309664aab655b48de82429ddc1

Observation 3c2d117b-4e7a-47a2-afd2-3d00a21c2069 · outbound

This paper cites Neural networks efficiently learn low-dimensional representations with SGD.

Spectral phase transitions in Gaussian multi-index models Neural networks efficiently learn low-dimensional representations with SGD

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.088291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.173344Z digest=sha256:f115d8f143b13423a6b846eb90ba6ad990b3280703e2cc2394ae57a8f32e875c

Observation 70004b82-597d-4c50-b38f-25dcb641b3de · outbound

This paper cites Nica and R.

Spectral phase transitions in Gaussian multi-index models Nica and R

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.074183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.178051Z digest=sha256:af8aa966a0153f7162df51b8a0070c11d69c42cc508cf2bb9879a6b48e9c8637

Observation f9afd0f3-9930-4dba-bd7f-fc403611a18e · outbound

This paper cites Parmaksiz and R.

Spectral phase transitions in Gaussian multi-index models Parmaksiz and R

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-16T00:25:15.182542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:25:15.182542Z digest=sha256:65a58532e800a180a5f5ccb06f659a4bea6e1bdf1f1ec304081d78b9575fd5ae

Observation 599a723e-a7f4-4e31-a424-9b508b5c5b84 · outbound

This paper cites Spectral clustering of graphs with the bethe hessian.

Spectral phase transitions in Gaussian multi-index models Spectral clustering of graphs with the bethe hessian

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.061389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.186583Z digest=sha256:49fb6174053e0b663a04ee0d81fcb39be547e99a229201932fb30b040c64c19a

Observation 3db6f203-8dd8-4af6-b30d-aa06abe6718e · outbound

This paper cites Complex dynamics in simple neural networks: understanding gradient flow in phase retrieval.

Spectral phase transitions in Gaussian multi-index models Complex dynamics in simple neural networks: understanding gradient flow in phase retrieval

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.048749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.190641Z digest=sha256:09ba8b0c1720b4f157740e57dbfc11ef5c454ccec9c7d49bd2e2f95e00de1121

Observation aad638d3-a99a-40df-b9e6-83efcd0d280e · outbound

This paper cites Who is afraid of big bad minima? analysis of gradient-flow in spiked matrix-tensor models.

Spectral phase transitions in Gaussian multi-index models Who is afraid of big bad minima? analysis of gradient-flow in spiked matrix-tensor models

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.034666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.194803Z digest=sha256:aed88cbb14f9c2fd2d75f2dc8a1490b56d6d0e3ad0fa213fec681cfe32471c5c

Observation d4810396-2277-4870-b6d4-530bd8c600fb · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:25:16.020500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.199457Z digest=sha256:fdd1b84144c478bcab8750d7273777ade8d3bedf72491289769b2dcfa0769c72

Observation c7f39395-b4e6-4d3f-99e2-454ca4fd0e67 · outbound

This paper cites Learning gaussian multi-index models with gradient flow: time complexity and directional convergence.

Spectral phase transitions in Gaussian multi-index models Learning gaussian multi-index models with gradient flow: time complexity and directional convergence

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:16.004235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.203687Z digest=sha256:498f602bf3abaf7ff82a8a04b6d8a117e8ff71623f7f41ed01acb0a40c8dec1c

Observation 3cbe9465-a0ba-40dc-8791-66aed07e5268 · outbound

This paper cites Subag,TAP approach for multispecies spherical spin glasses II: the free energy of the pure models, Ann.

Spectral phase transitions in Gaussian multi-index models Subag,TAP approach for multispecies spherical spin glasses II: the free energy of the pure models, Ann

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:15.990807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.207782Z digest=sha256:58755e4ba44c8fd4cb4b39a93844325e2a0bc9775b3fa695afaf6f30f495c6af

Observation 5d06b28d-7e71-4a01-b19e-081653624d16 · outbound

This paper cites Subag,TAP approach for multi-species spherical spin glasses I: General theory, Electron.

Spectral phase transitions in Gaussian multi-index models Subag,TAP approach for multi-species spherical spin glasses I: General theory, Electron

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:15.977668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.212330Z digest=sha256:72506be27361f140f6aecac954f232d1d618ad68143d5f2e18a7c6840c67e9d0

Observation 5bd96de4-8d48-4815-9c87-614328e29812 · outbound

This paper cites Tao,Topics in random matrix theory, Vol.

Spectral phase transitions in Gaussian multi-index models Tao,Topics in random matrix theory, Vol

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:15.964281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.216351Z digest=sha256:a2cad8cebef384391e6b58d39065fcc5966303c493cf6b12b5c1b09f17afa5b4

Observation f90feeea-0a21-4723-a95f-5e4f7cb3a15e · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:25:15.950834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.220968Z digest=sha256:265bb73e863040d0dfa69193e595d413f0a4d82fdb734fc2a6f7f6d1a6501cdc

Observation 5a009587-a7d3-410d-86fc-0f60baedae01 · outbound

This paper cites Fundamental computational limits of weak learnability in high-dimensional multi-index models.

Spectral phase transitions in Gaussian multi-index models Fundamental computational limits of weak learnability in high-dimensional multi-index models

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:15.937481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.225047Z digest=sha256:2f97b0c3b268335867fff281fb8a3284d8370b41698f23da0b88f60d445c666b

Observation 33f4e918-ec85-4f2f-9c53-855562b59b08 · outbound

This paper cites Vershynin,High-dimensional probability, Vol.

Spectral phase transitions in Gaussian multi-index models Vershynin,High-dimensional probability, Vol

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:15.921937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.229067Z digest=sha256:120c1124329dbe7f8d2c801998e694485c365091b356381e4c6c666d36d1ce72

Observation d77c52f3-36b8-47ad-a9f9-41ee0cf4a7ff · outbound

This paper cites Sharp Spectral Thresholds for Multi-View Spiked Wigner Models.

Spectral phase transitions in Gaussian multi-index models Sharp Spectral Thresholds for Multi-View Spiked Wigner Models

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-16T00:25:15.233151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:25:15.233151Z digest=sha256:2cd7d98b42aa05d35c8cc6ccc9ac249303afe63fdd4b1cb2d5fda4d86ba519e8

Observation b13f0e57-94d1-41d4-b91a-414345b629b5 · outbound

This paper cites an unresolved cited work.

Spectral phase transitions in Gaussian multi-index models Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:25:15.908280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.237420Z digest=sha256:dbed3a7c8d1532225e565a94d607c2ae07877fde73424bb162b179bfc51866db

Observation a703cd71-dadd-4ee9-ab86-84474076d889 · outbound

This paper cites Zdeborová andF.

Spectral phase transitions in Gaussian multi-index models Zdeborová andF

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:15.894778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.241512Z digest=sha256:d534ddd6ea1d109465d0c464547ced2a77710d436b76edee3e0cc8268f66ecb4

Observation e07be315-047b-4da7-998a-3d2305de5e55 · outbound

This paper cites Zhang, Z.

Spectral phase transitions in Gaussian multi-index models Zhang, Z

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-16T00:25:15.245791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:25:15.245791Z digest=sha256:97ba998e39f55c216f0dd62e902add59e08a7d6385aaa9b7cf983100856bf60a

Observation 9aac4896-1433-4c0b-a044-edb837c39f6d · outbound

This paper cites Zhang, H.

Spectral phase transitions in Gaussian multi-index models Zhang, H

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:15.881820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.249919Z digest=sha256:bd25518c7f9cc08a14a9a3ab9530ae61a91991ceaf327dca26275270d6fc7c50

Observation eaa3fc94-6d8b-4fff-b702-88677a9a922a · outbound

This paper cites Zhang, H.

Spectral phase transitions in Gaussian multi-index models Zhang, H

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-16T00:25:15.253976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:25:15.253976Z digest=sha256:5068b3d90166c1f5d2d6806e87a282eb236a846d01f810b79c76b48a42b510df

Observation 90f4658a-ca80-4292-b4b5-f39ea894b595 · outbound

This paper cites Zhang, M.

Spectral phase transitions in Gaussian multi-index models Zhang, M

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:25:15.868538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T00:25:15.258156Z digest=sha256:534dd9a7aecbe32c4bdda689fbe98ff03f11b7e6e5dcb52b81ec0ddb24cf4717

Pith citing papers

No inbound Pith citation observations are available.