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Paper Citation Record · LEDGER

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery

As of 9 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 4 inbound Pith citation observations for arXiv:2502.01583.

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

pith.paper-citation-record.v1
2502.01583 v2

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:58:54.663223Z

measured 60 of 60 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T11:55:22.611333Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T01:39:38.366035Z

Reference resolution

56 of 56 outbound references displayed

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  • verified fuzzy42
  • unresolved12
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6a58df0-e175-4e94-b9f5-fbc2e1645b84 · outbound

This paper cites The merged-staircase property: a necessary and nearly sufficient condition for sgd learning of sparse functions on two-layer neural networks.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery The merged-staircase property: a necessary and nearly sufficient condition for sgd learning of sparse functions on two-layer neural networks

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.068392Z digest=sha256:4084ee178a978f0e429efefd735167878156b35e0c01cfdf480782cecf55d404

Observation 78355c2e-c8df-48fa-8dd2-c2547177846a · outbound

This paper cites Sgd learning on neural networks: leap complexity and saddle-to-saddle dynamics.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Sgd learning on neural networks: leap complexity and saddle-to-saddle dynamics

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.073427Z digest=sha256:9f71872f0ca94619baf3a1ed1ef3285909b43b233c12033c4dcb27371838758a

Observation 69970573-a16d-4d11-8db9-59602772eb55 · outbound

This paper cites Community detection and stochastic block models: Recent developments.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Community detection and stochastic block models: Recent developments

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation c0a63bd1-4f45-41f7-a91c-ef4a9708e1bb · outbound

This paper cites The committee machine: computational to statistical gaps in learning a two-layers neural network.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery The committee machine: computational to statistical gaps in learning a two-layers neural network

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.082921Z digest=sha256:895e26d0685cd85fb7866128b63fa757725b93f4170c03dc000019d0fdd5de97

Observation 75a81cf6-40bb-4e6c-87ea-641f41776028 · outbound

This paper cites Learning sparse polynomial functions.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Learning sparse polynomial functions

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.087743Z digest=sha256:8eea2255dc42c68f78ea02d180324a22be714c0fd136ce7e9bea5d84fd28d8ef

Observation 49f4a311-4b8a-48a3-bb8e-fa86ee9d7044 · outbound

This paper cites Online stochastic gradient descent on non-convex losses from high-dimensional inference.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Online stochastic gradient descent on non-convex losses from high-dimensional inference

Reference 6

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:58:54.092223Z digest=sha256:706cf01df470de8504647f7aa948b565bb273fbac70db8de300860286f694f80

Observation cb8583f7-5bce-473d-86e0-8147b0808ea1 · outbound

This paper cites Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.096533Z digest=sha256:19487b241e23efaeadd41a7988c0fb7f73051d4aab7b8a48014ff2ad6b5a561d

Observation 30598121-164c-4c58-9b53-31c0a638a792 · outbound

This paper cites On Learning Gaussian Multi-index Models with Gradient Flow.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery On Learning Gaussian Multi-index Models with Gradient Flow

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-09T14:58:54.101645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 958231cf-4cc7-4a2d-9514-61e9779be935 · outbound

This paper cites Fundamental limits in structured principal component analysis and how to reach them.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Fundamental limits in structured principal component analysis and how to reach them

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation fce6a36c-1df0-42ae-b0c6-2832f4098746 · outbound

This paper cites Optimal errors and phase transitions in high-dimensional generalized linear models.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Optimal errors and phase transitions in high-dimensional generalized linear models

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 3cf70763-1cb2-4756-b1e2-36314ccf4ca7 · outbound

This paper cites On sample eigenvalues in a generalized spiked population model.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery On sample eigenvalues in a generalized spiked population model

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation f0a303bc-7860-4e71-9e72-7ddcf9c3640e · outbound

This paper cites Cand\`es.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Cand\`es

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 5657f65e-d52d-401e-a3f2-a1ece46925df · outbound

This paper cites Spectral methods for data science: A statistical perspective.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Spectral methods for data science: A statistical perspective

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 3664db26-e9f8-4ad5-bf3f-fe239ceda860 · outbound

This paper cites Learning polynomials in few relevant dimensions.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Learning polynomials in few relevant dimensions

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.129750Z digest=sha256:0d1f2f0077a354cd5f3bc46528e86eda73e5d7efc3687bf337e77f53dba37226

Observation 4bbf5c97-822b-420d-8dfe-1d3a942abe62 · outbound

This paper cites The estimation error of general first order methods.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery The estimation error of general first order methods

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation e81c1e95-fe27-4442-9f83-6e5b2ff64b32 · outbound

This paper cites Hitting the high-dimensional notes: an ODE for SGD learning dynamics on GLM s and multi-index models.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Hitting the high-dimensional notes: an ODE for SGD learning dynamics on GLM s and multi-index models

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 35ae1bfd-04bb-435a-922d-f094ebee970c · outbound

This paper cites Analysis of spectral methods for phase retrieval with random orthogonal matrices.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Analysis of spectral methods for phase retrieval with random orthogonal matrices

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 9f5b03a2-49e2-4514-a31f-d76a0f261010 · outbound

This paper cites Optimal Spectral Transitions in High-Dimensional Multi-Index Models.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Optimal Spectral Transitions in High-Dimensional Multi-Index Models

Reference 18

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:58:54.147811Z digest=sha256:f3d8bae3f431a7bb578e10bfbbb00082ab150b31197c79be328f30d5236953f4

Observation 9f6ccb04-1f40-47d0-999b-d392143a1c9b · outbound

This paper cites Nonlinear functional analysis.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Nonlinear functional analysis

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-09T14:58:54.171192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:58:54.171192Z digest=sha256:73a271b82e8dfbee3dfdd58c12f6ffd284850248e38b221779ed624d53eb1acf

Observation 05c50d20-da67-42c2-b6ed-b84baf7dfc75 · outbound

This paper cites Dalalyan, Anatoly Juditsky, and Vladimir Spokoiny.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Dalalyan, Anatoly Juditsky, and Vladimir Spokoiny

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation c04b51e0-25a6-4ae6-87d7-d788f768a29e · outbound

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

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Neural networks can learn representations with gradient descent

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation f9f058f5-4132-406d-aab0-e268beb52663 · outbound

This paper cites Smoothing the landscape boosts the signal for sgd: Optimal sample complexity for learning single index models.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Smoothing the landscape boosts the signal for sgd: Optimal sample complexity for learning single index models

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation ffbd18ae-43be-409f-907b-46ef0a33f433 · outbound

This paper cites Computational-statistical gaps in gaussian single-index models (extended abstract).

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Computational-statistical gaps in gaussian single-index models (extended abstract)

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation ca0c2757-c595-40c7-ac34-5f26a2040bd7 · outbound

This paper cites Order structure and topological methods in nonlinear partial differential equations.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Order structure and topological methods in nonlinear partial differential equations

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.759460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 7417f18a-26d8-4163-90d8-1aef0d396ba7 · outbound

This paper cites Learning functions of few arbitrary linear parameters in high dimensions.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Learning functions of few arbitrary linear parameters in high dimensions

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.744371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 1bac62f5-7cde-44e5-ae06-a5dfcb9d37ab · outbound

This paper cites Horn and Charles R.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Horn and Charles R

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-09T14:58:54.329181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:58:54.329181Z digest=sha256:fa67531e3089d7aff1964937145e03f6cc0d511b9e2f47e880e7a553d908a149

Observation ac0fe13b-4333-4761-9ffd-422f86ea5588 · outbound

This paper cites Perturbation theory for linear operators.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Perturbation theory for linear operators

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-09T14:58:54.333250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:58:54.333250Z digest=sha256:c2cb904383b5a940fe0b5ad24517f23f5944cade94b19862135ea99f7c320fcf

Observation 18d3eb45-a51f-43a2-ac62-3b84a7d46965 · outbound

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Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-09T14:58:55.709962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 9200c896-2dc5-461a-8ed2-07c961fc4495 · outbound

This paper cites an unresolved cited work.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-09T14:58:55.695350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 9c183ef1-1ff8-4a8f-bb83-5ebf3d4ab074 · outbound

This paper cites On eigenvalues of matrices dependent on a parameter.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery On eigenvalues of matrices dependent on a parameter

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.682318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation e1dc2b3b-f48b-4827-9fbd-35521c5c8d23 · outbound

This paper cites Regression analysis under link violation.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Regression analysis under link violation

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.668716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.351356Z digest=sha256:9ce6e3ab8bdd442312007d84b0443199c4957e891353e8f00fce790e56690688

Observation e60082ea-e505-44e3-b652-3dacdf7742d4 · outbound

This paper cites Sliced inverse regression for dimension reduction.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Sliced inverse regression for dimension reduction

Reference 32

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.355481Z digest=sha256:8ee2f4935aa0a8662a70246a08db9ad6ad5c57b72447995a842ffdcd703c4f53

Observation 5d8e1191-db63-41e4-a9c0-85040c1ce2a1 · outbound

This paper cites On principal H essian directions for data visualization and dimension reduction: another application of S tein's lemma.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery On principal H essian directions for data visualization and dimension reduction: another application of S tein's lemma

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.638296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.360253Z digest=sha256:8a87db6c4202fd8883cf473ac81b680150daebaf6472d67ab4ef4d388ea9d2e1

Observation 50390ece-454d-4827-bc99-026291e7e35e · outbound

This paper cites Lu and Gen Li.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Lu and Gen Li

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.622550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.364679Z digest=sha256:3915079d3b057692680290f924f7981c82fd7e1e8b546ac945e0e6ad4ea44bbb

Observation 4cf961b4-45eb-4333-8d60-b47d4d57cbac · outbound

This paper cites Generalized linear models.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Generalized linear models

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.606992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.368949Z digest=sha256:da4d0dd61b766144c68f991be377be396d00ae644362ca66b57595b542c127d4

Observation 0e51e8a4-0d68-4faf-9a75-e9ec64431ecb · outbound

This paper cites Lu, and Lenka Zdeborova.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Lu, and Lenka Zdeborova

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.592077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.373194Z digest=sha256:77e0d1affc0ff2873017bd24b06b05a0be845dc1fb8074ab0cd4417d9dcaa528

Observation dd8c2137-1433-437b-b8f8-f3d41d8d74aa · outbound

This paper cites Phase retrieval in high dimensions: Statistical and computational phase transitions.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Phase retrieval in high dimensions: Statistical and computational phase transitions

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.575539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.377587Z digest=sha256:d4b5c963abce6d3945af700c3778f5640fb1d15e0d966df90248fc476afa9c14

Observation 3727216a-399e-4db5-9410-6fa28b9191d1 · outbound

This paper cites Fundamental limits of weak recovery with applications to phase retrieval.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Fundamental limits of weak recovery with applications to phase retrieval

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.559686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.382204Z digest=sha256:8a2250c82c3f6c72d51c077e03818190a45604733cfb112d16f826e666282a97

Observation 267d7b57-b117-4687-bb1e-4fe159a91df4 · outbound

This paper cites Optimal combination of linear and spectral estimators for generalized linear models.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Optimal combination of linear and spectral estimators for generalized linear models

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.544429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.386347Z digest=sha256:f037bb61e8d943ee531d7b9ad4955fcd429f514dc06060241feb0f6dfccc17c9

Observation 734c478e-0fc4-489d-b065-2ada53b7cd78 · outbound

This paper cites Estimation of low-rank matrices via approximate message passing.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Estimation of low-rank matrices via approximate message passing

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.530446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.390838Z digest=sha256:1fa9b1e1635099ab4bdc996bbf402392457b48dd19439d467e66f0b130b31cd1

Observation 30489c50-3acf-4c91-bdc8-26fa01bf8dd2 · outbound

This paper cites Approximate message passing with spectral initialization for generalized linear models.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Approximate message passing with spectral initialization for generalized linear models

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.516402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.395423Z digest=sha256:d7bf36796b9c34c86200d097b21f477412b344f3585a3b558897537f4ab5e469

Observation 2580e41a-5db1-45d9-9fe2-f9d28bb22465 · outbound

This paper cites Statistically optimal firstorder algorithms: a proof via orthogonalization.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Statistically optimal firstorder algorithms: a proof via orthogonalization

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.450074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.399604Z digest=sha256:5ea970a21e1330fde8fe68df2d19879f189eea4108857313a8e59e68fad79dfb

Observation 17958f8a-10da-4d23-b9cc-5968fa871edf · outbound

This paper cites Learning sum of diverse features: computational hardness and efficient gradient-based training for ridge combinations.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Learning sum of diverse features: computational hardness and efficient gradient-based training for ridge combinations

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.434868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.405655Z digest=sha256:29a3db5bf49ec803a5dd0d095b5c3c679957194218e0d3b85699cd13e26297f8

Observation 3baca4f1-d93e-4a4c-ae8c-0e6e93e5c602 · outbound

This paper cites an unresolved cited work.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-09T14:58:54.410949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:58:54.410949Z digest=sha256:01eea4ab69e932f8a1039f699d8161d12770dbd0a7d383212c5693c31f5b82c5

Observation 54ac7205-9731-4f54-a693-745e71a3b9d6 · outbound

This paper cites Fletcher.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Fletcher

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.419893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.415170Z digest=sha256:db6d008651a8e69de937656ec9b47b5727bf865c05b8e578645df4a1568b1ab4

Observation 08e61bc5-b79b-4b7e-95c7-32a06178ba59 · outbound

This paper cites Silverstein and Sang-Il Choi.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Silverstein and Sang-Il Choi

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.405365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.419172Z digest=sha256:182bc0c91204ea7244b57d9a194395ff38b6d81aaf591a0820f98c28ac1c9e81

Observation 775eba27-0446-4267-aef8-2f98eefdb2fe · outbound

This paper cites an unresolved cited work.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-09T14:58:55.390975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.423669Z digest=sha256:4d863f0b31b73cda8a3a7f97acd779def967dc496f1af5980f6973acc6a55bc4

Observation d92c834d-5f69-4ce9-a92a-ef22e44046ae · outbound

This paper cites High-Dimensional Single-Index Models: Link Estimation and Marginal Inference.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery High-Dimensional Single-Index Models: Link Estimation and Marginal Inference

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-09T14:58:55.076217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.427739Z digest=sha256:88fe19eab4b0b7401f2e0a9c09b3578fddd3befc18cac368b21859438a1f318a

Observation e06ec4de-7a61-4120-b105-484e9cc3ebba · outbound

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

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Fundamental limits of weak learnability in high-dimensional multi-index models

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-09T14:58:54.432194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:58:54.432194Z digest=sha256:92200646036d4f93bb0a5016ccdde56e36cdc78e86d67a9cd335fa6eb60ec5b3

Observation bd7fb1b4-3e75-47a4-9ad7-a524db9d0a55 · outbound

This paper cites Estimation in rotationally invariant generalized linear models via approximate message passing.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Estimation in rotationally invariant generalized linear models via approximate message passing

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.374676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.436232Z digest=sha256:9209fc448c1f99160ce0759b61f1ae3963d06f71968339a719a669693490eb78

Observation 28dbf5f6-a3b7-42ee-af87-4b41d7c63c5d · outbound

This paper cites Giannakis, and Yonina C.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Giannakis, and Yonina C

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.358304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.442371Z digest=sha256:8fc7191ffd24ad9119481547bd8bfea93312942e0f6e79522ae55e0013b45444

Observation 065408e2-76b6-4e71-b208-ef7f054d50cf · outbound

This paper cites Alternating minimization for mixed linear regression.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Alternating minimization for mixed linear regression

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.343062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.468487Z digest=sha256:30a114f1c6f007fe32cf07b8d6b62af945d7b9a66fbc67db0317e9be9ace17c5

Observation 6658ec00-3b62-4c8f-a2b9-520d70f6dc6e · outbound

This paper cites On the identifiability of additive index models.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery On the identifiability of additive index models

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.328638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.511977Z digest=sha256:3441887317a2cd374aabd5620c4ed3891096f2a3b408891a7468dbfa53144d33

Observation 9a0e6331-ea9f-4435-9693-5090f59237bf · outbound

This paper cites Spectral estimators for structured generalized linear models via approximate message passing (extended abstract).

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Spectral estimators for structured generalized linear models via approximate message passing (extended abstract)

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:58:55.313089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.587804Z digest=sha256:9445d1c71b6f1594603972b1acca261b146aadc1430602f130b2c5236b2d3a62

Observation fcd34740-8599-4c92-bc80-caaad772c4b4 · outbound

This paper cites Matrix Denoising with Doubly Heteroscedastic Noise: Fundamental Limits and Optimal Spectral Methods.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Matrix Denoising with Doubly Heteroscedastic Noise: Fundamental Limits and Optimal Spectral Methods

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-08-09T14:58:54.882211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T14:58:54.658394Z digest=sha256:413f424ee87b7fe39d0654ac6b2dfb95fe1df6b0a3756411fd9d2a28756b2e2d

Observation fe368bac-2127-4f34-bc22-d688605288ff · outbound

This paper cites Precise asymptotics for spectral methods in mixed generalized linear models.

Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery Precise asymptotics for spectral methods in mixed generalized linear models

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-09T14:58:54.663223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:58:54.663223Z digest=sha256:70c178493b68705346ff2a75fff895727aa9c51a9441a04f74936099376b7eea

Pith citing papers

Observation 5b2e5c29-873b-4598-a36f-d84ce594406e · inbound

Optimal Spectral Transitions in High-Dimensional Multi-Index Models cites this paper.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-09T11:55:22.611333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T11:55:22.611333Z digest=sha256:4ae98e11e554d4b91d5559747f85c94a290d2b73b5c031ef4f6a5275fa89d624

Observation 930647d0-faf3-4a32-b813-ef21ea8f7ac9 · inbound

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models cites this paper.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-07T10:32:00.311902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:32:00.311902Z digest=sha256:eaf4a9ce7e06306f6be19af644cc94864c27f08ae657b17e85c9df539ac65219

Observation 3101cb31-0fb8-4b22-9d27-d5ec29afcbd2 · inbound

Scaling Laws from Sequential Feature Recovery: A Solvable Hierarchical Model cites this paper.

Scaling Laws from Sequential Feature Recovery: A Solvable Hierarchical Model Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery

Reference 176

Resolution
verified exact
arxiv_id, observed 2026-05-15T01:39:38.367690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-15T01:39:21.733359Z digest=sha256:49f50225c3c98c1f714e7c130461534a24656e0ae985c8b53ef66f83fece7527

Observation 31b564db-65b1-46dd-b133-55f3a94fe4c0 · inbound

Approximate Message Passing with Random Initialization for Phase Retrieval cites this paper.

Approximate Message Passing with Random Initialization for Phase Retrieval Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-04T23:35:25.331446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T23:35:25.331446Z digest=sha256:6fe8e3b7a1ffd9dd420132e4e046ec03f5db31b638d25913d701b27dd50d8ef7