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Paper Citation Record · LEDGER

Spectral phase transitions in Gaussian multi-index models

As of 19 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 2026-08-19T06:32:44.657259+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

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  • verified fuzzy43
  • unresolved26
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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

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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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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

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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

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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

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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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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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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

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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 2026-08-19T06:32:44.657259+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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

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

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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 2026-08-19T06:32:44.657259+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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

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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
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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 2026-08-19T06:32:44.657259+00:00.

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

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

Reference 30

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.120256Z digest=sha256:a9fc16ac1dce50232edb137f27c6b9400531808c413fefc7cb3366bdb76209fd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.124137Z digest=sha256:be52f5d7ba640dc739ec463f52fac672954765775716bd31d38e24ccefd3f520

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.128095Z digest=sha256:c1937c5366d1d186fc03457c705c2b124b23c94cef9cf0b5eece99fa969a2098

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.132181Z digest=sha256:096c3760122516853c92c414216f144db0a185df527bf8a48a6969b3425b881a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.136181Z digest=sha256:7d9e8f8b9b01f0e2b323dd4c911a08e1032d3358bc78a8d55820a1356fa3d1c6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.140151Z digest=sha256:bc59ada5db6654ed06b156a2618fb9adda32561b5c79effaab68fa0616251e6e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.144289Z digest=sha256:2ede81f9f0c7e47a7ad519105aadfa128f3b40ec7057dbf7564b1cb70633ede5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.148695Z digest=sha256:950d1158f1749b755b6169c41a956051e341e2d3402e95ddd8dd413097aa60a5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.153365Z digest=sha256:cb834facf6937e50ed0475976c5f0f6932e60085ba70d40348c92313a9888e77

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.157445Z digest=sha256:cc7263411cb52beffae34a5b60f80110d6e04130c1fe5d36db4730435d4230ef

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.161450Z digest=sha256:01303bf0dda681351d52e11315d9628ca118703638797d30ba6d02ffca29c646

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.165315Z digest=sha256:dca73128a12c48866bcae8fd8b41daa9a1815caedb56c11276d46762d3e69d16

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.173344Z digest=sha256:a4829381f47ad4031814f8171d1f64bcfd4642c3c3c4938f9198ae6fafde3079

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.178051Z digest=sha256:98b48ed1f974cca5d81a246ba3dc0e440024c6d2ecfb9a5658e3dd62e6130f5c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.186583Z digest=sha256:5b1abdd306ad942e68408a9330243c596ed8a29fbbc26c25b486cd41a151ba2e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.190641Z digest=sha256:74a1d3129a74a09b5fe69a61f5c8ea665913c61db8eed5ed84e3adeb37db07bc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.194803Z digest=sha256:fa8f14abfdd261cff241c18b8075e183a8cff5c95391f72046c5991329aa137d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.199457Z digest=sha256:653cba4ac933e8e6b24ca614cb347b17b6f7747cfabab45b2ced2a09929d6b9f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.203687Z digest=sha256:92a1f7afe3041e0dd7610b406d685b2230d9685ffe07a42efdfd480b11d7c377

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.207782Z digest=sha256:5dc4092018508fea167b5ab183bd2d237830dad4469c7eba57a29a49a75d31c9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.212330Z digest=sha256:d5c7011f461ea532dc2daf8ac3584badbe0b39ab289ea5b200ac92a8e2c48e9d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.216351Z digest=sha256:1af0d5cd0e9f1b65a2b18bffd296e3ec318bb6b08517116770a6f1824ef4f709

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.220968Z digest=sha256:0128200f1e8506c54393df1991ef961f0601bc0504c0f35bd0c51a54cf87c6b1

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.225047Z digest=sha256:83e8f2a01c2131c66f92e1def61dfad29241ee2ec8b67e16c8369fbebb3c50dd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.229067Z digest=sha256:ee471fbc9e02f3599c5cdecc36a9d99fdf1d143800b37cb804ac7703410d16b1

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.237420Z digest=sha256:f48dd9c7b2c47bcc379be69ecb0b0acaff0d873077d7ea82eae06a5d197ee741

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.241512Z digest=sha256:fe7081a0d507b6990e382f1fe00e1cc4dd0bb75fcb06fadfa6fe48ac4148c632

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.249919Z digest=sha256:8e91f45e04f6dee2e867d155f42b046223c9ee9ec2936fb5fdaca68ca3d43ad5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.258156Z digest=sha256:3ea03e3cf6882ece09cb4691cbdba7cc801401496bf1cb07afeeaa4cbb2a72df

Pith citing papers

No inbound Pith citation observations are available.