Paper Citation Record · LEDGER

Optimal Spectral Transitions in High-Dimensional Multi-Index Models

As of 10 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 3 inbound Pith citation observations for arXiv:2502.02545.

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

pith.paper-citation-record.v1
2502.02545 v2

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T11:55:22.756099Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:58:54.147811Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-04T23:35:27.882384Z

Reference resolution

56 of 56 outbound references displayed

verified exact0
verified fuzzy42
unresolved14
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a57017a1-0e0c-4820-b01c-7042fa32bdff · 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.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models 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; raw_fallback, observed 2026-08-09T11:55:23.644974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c6048da5-738e-4f18-bcdc-1e65cd178231 · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Sgd learning on neural networks: leap complexity and saddle-to-saddle dynamics

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.629499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f1cc4edb-2bc6-4405-ac2e-de3e45600ed6 · outbound

This paper cites From high-dimensional & mean-field dynamics to dimensionless odes: A unifying approach to sgd in two-layers networks.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models From high-dimensional & mean-field dynamics to dimensionless odes: A unifying approach to sgd in two-layers networks

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.614615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 554ceb8e-bddb-4643-ac3f-b58871ef499c · outbound

This paper cites Online learning and information exponents: The importance of batch size & T ime/ C omplexity tradeoffs.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Online learning and information exponents: The importance of batch size & T ime/ C omplexity tradeoffs

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.599351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7e5f4b3a-f9dd-4acf-8a26-1dd0705cb82b · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Repetita Iuvant: Data Repetition Allows SGD to Learn High-Dimensional Multi-Index Functions

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-09T11:55:22.485129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfd91b96-aa6b-42f3-a0ed-c67b7b7bc402 · outbound

This paper cites Escaping mediocrity: how two-layer networks learn hard generalized linear models with SGD.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Escaping mediocrity: how two-layer networks learn hard generalized linear models with SGD

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-09T11:55:22.490803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35722a8a-0006-4448-96df-43c5bdd47e33 · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models The committee machine: Computational to statistical gaps in learning a two-layers neural network

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.583829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 229a16bb-b9a8-49d5-af03-1ac57c76a327 · outbound

This paper cites The spiked matrix model with generative priors.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models The spiked matrix model with generative priors

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.568169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1f1e7a5e-ed01-4f2d-9b08-c0fe5aada0a8 · outbound

This paper cites Slice inverse regression with score functions.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Slice inverse regression with score functions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.551514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a218a758-babd-428c-bd17-0a83156bd5a5 · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.535792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 57a3497c-d538-4061-9f1a-3ad5dacb966d · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Optimal errors and phase transitions in high-dimensional generalized linear models

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.520275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6e50163e-2502-4d67-b320-1aa37538d562 · outbound

This paper cites The dynamics of message passing on dense graphs, with applications to compressed sensing.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models The dynamics of message passing on dense graphs, with applications to compressed sensing

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.505143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d0047c48-06fa-4406-8222-31e95393a90a · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Online stochastic gradient descent on non-convex losses from high-dimensional inference

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.490028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4eb6011c-3849-4ad1-b787-c3d222968205 · outbound

This paper cites Learning time-scales in two-layers neural networks.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Learning time-scales in two-layers neural networks

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-09T11:55:22.533318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45a92d83-bb27-4531-8318-a69b18a74c5b · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models On Learning Gaussian Multi-index Models with Gradient Flow

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-09T11:55:22.538600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f2e6da7-e0cb-468b-8513-1487347d8c39 · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models The estimation error of general first order methods

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.463477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 39c824af-c145-4f31-baf6-f2d656ded7b0 · outbound

This paper cites Hitting the high-dimensional notes: An ode for sgd learning dynamics on glms and multi-index models.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Hitting the high-dimensional notes: An ode for sgd learning dynamics on glms and multi-index models

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.447965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 801c14f4-8a5e-4de4-97d4-a5dd231b55a3 · outbound

This paper cites Computational-Statistical Gaps in Gaussian Single-Index Models.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Computational-Statistical Gaps in Gaussian Single-Index Models

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-09T11:55:22.557337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 210fe7f7-4cac-4300-b70d-93ffee21bff1 · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Neural networks can learn representations with gradient descent

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.432952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 33ae8fc0-995d-4be2-bee0-0878684358fb · outbound

This paper cites How two-layer neural networks learn, one (giant) step at a time.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models How two-layer neural networks learn, one (giant) step at a time

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.417872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c6ac9dda-3654-4116-abbd-54c90cb7b3ed · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models The benefits of reusing batches for gradient descent in two-layer networks: Breaking the curse of information and leap exponents

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.402975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2520268b-0ea0-4b38-916d-c3869368158c · outbound

This paper cites Message-passing algorithms for compressed sensing.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Message-passing algorithms for compressed sensing

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-09T11:55:22.579024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f169a5c9-9d6c-426a-918c-aa3f664362ec · outbound

This paper cites Iterative reconstruction of rank-one matrices in noise.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Iterative reconstruction of rank-one matrices in noise

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.377457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation efe2d207-e71a-4b45-a027-be60acc88021 · outbound

This paper cites Projection pursuit regression.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Projection pursuit regression

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.362589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation faccfba1-cb04-4f07-a324-fa8185614921 · outbound

This paper cites Spectral Phase Transitions in Non-Linear Wigner Spiked Models.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Spectral Phase Transitions in Non-Linear Wigner Spiked Models

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-09T11:55:22.594837Z

Source-reported events for the cited work

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Observation c8a192f9-5155-4f05-88ed-906a91862cae · outbound

This paper cites A simple and sharper proof of the hypergraph moore bound.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models A simple and sharper proof of the hypergraph moore bound

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.347160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b2733ffb-51cf-4bfe-883b-ae2dbb97f62c · outbound

This paper cites State evolution for general approximate message passing algorithms, with applications to spatial coupling.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models State evolution for general approximate message passing algorithms, with applications to spatial coupling

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.331800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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

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

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.

Observation 27a9688a-5190-4787-920d-660103ce17ac · outbound

This paper cites Spectral redemption in clustering sparse networks.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Spectral redemption in clustering sparse networks

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.316227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 829874d4-0920-4d1a-aed9-cacd349c7620 · outbound

This paper cites Neural network learns low-dimensional polynomials with sgd near the information-theoretic limit.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Neural network learns low-dimensional polynomials with sgd near the information-theoretic limit

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.300958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 696bcc1d-4034-45b4-b5bc-a0fc0ca6be29 · outbound

This paper cites Constrained low-rank matrix estimation: Phase transitions, approximate message passing and applications.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Constrained low-rank matrix estimation: Phase transitions, approximate message passing and applications

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.285814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 63823156-deea-4e87-b25b-3564c62c161a · outbound

This paper cites A Non-Asymptotic Framework for Approximate Message Passing in Spiked Models.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models A Non-Asymptotic Framework for Approximate Message Passing in Spiked Models

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-09T11:55:22.631858Z

Source-reported events for the cited work

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Observation 0e167abe-0ad0-41ad-b977-3ad2d91fa290 · outbound

This paper cites Approximate message passing from random initialization with applications to z 2 synchronization.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Approximate message passing from random initialization with applications to z 2 synchronization

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.270445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 51e37b5d-226f-4203-acd2-4d2838fc4936 · outbound

This paper cites Phase transitions of spectral initialization for high-dimensional non-convex estimation.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Phase transitions of spectral initialization for high-dimensional non-convex estimation

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.255090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0e9097f0-274f-4662-a3f8-7e23ae46f557 · outbound

This paper cites an unresolved cited work.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-09T11:55:23.239750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b4c54d10-ef63-4007-a161-03baeadd8bc6 · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Construction of optimal spectral methods in phase retrieval

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.224377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 65e9f70c-9b40-44a0-83d3-d6233d60430f · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Fundamental limits of weak recovery with applications to phase retrieval

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.209355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 36421968-acee-4df6-b5f1-860125b6a5c0 · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Approximate message passing with spectral initialization for generalized linear models

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.192874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 22cb27bd-9a5a-46ac-870f-9c6b9c8333b4 · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Optimal combination of linear and spectral estimators for generalized linear models

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.175591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d6943b19-50ee-4700-83a1-1ad9f1690ca4 · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Statistically optimal firstorder algorithms: a proof via orthogonalization

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.160001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7f4c4f88-00bf-4869-b8ba-ff83366998d1 · outbound

This paper cites Learning Multi-Index Models with Neural Networks via Mean-Field Langevin Dynamics.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Learning Multi-Index Models with Neural Networks via Mean-Field Langevin Dynamics

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-09T11:55:22.681539Z

Source-reported events for the cited work

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Observation 14bf61d6-4955-47b3-beaa-7186aa6beb72 · outbound

This paper cites Optimal algorithms for the inhomogeneous spiked wigner model.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Optimal algorithms for the inhomogeneous spiked wigner model

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.143704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 61280148-9492-4afe-97d9-522b38d7830d · outbound

This paper cites Optimality and sub-optimality of pca i: Spiked random matrix models.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Optimality and sub-optimality of pca i: Spiked random matrix models

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.127836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation daa80295-501e-4b21-9492-71ab6365ddd9 · outbound

This paper cites Generalized approximate message passing for estimation with random linear mixing.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Generalized approximate message passing for estimation with random linear mixing

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.111975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 488011d3-c462-4332-ade0-0637b29b72e5 · outbound

This paper cites Fletcher.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Fletcher

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-09T11:55:22.702919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e36924a6-4957-49e8-9c58-3d831ead1d41 · outbound

This paper cites Finite sample analysis of approximate message passing algorithms.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Finite sample analysis of approximate message passing algorithms

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.084984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bd1d5549-c693-4f10-b9bc-cccb74fc38da · outbound

This paper cites Spectral density of the non-backtracking operator on random graphs.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Spectral density of the non-backtracking operator on random graphs

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.068267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b9505caa-abb3-4d4a-a14a-ca47236ea434 · outbound

This paper cites Fletcher.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Fletcher

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.051347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bec2f032-1b56-49ec-afb6-cc60000548b6 · outbound

This paper cites Learning Gaussian Multi-Index Models with Gradient Flow: Time Complexity and Directional Convergence.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Learning Gaussian Multi-Index Models with Gradient Flow: Time Complexity and Directional Convergence

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-09T11:55:22.722535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bb6a729-eb7f-4992-8802-c213f15867ff · outbound

This paper cites Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering (studies in nonlinearity).

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering (studies in nonlinearity)

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.035293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 57481557-d849-4da5-b6a6-9f90ed5fac4a · outbound

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Fundamental computational limits of weak learnability in high-dimensional multi-index models

Reference 51

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Observation 8ff0958b-f661-4ffd-b55d-8638e27d34dd · outbound

This paper cites Phase diagram of stochastic gradient descent in high-dimensional two-layer neural networks.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Phase diagram of stochastic gradient descent in high-dimensional two-layer neural networks

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:23.001915Z

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Estimation in rotationally invariant generalized linear models via approximate message passing

Reference 53

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This paper cites The kikuchi hierarchy and tensor pca.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models The kikuchi hierarchy and tensor pca

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:22.975855Z

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This paper cites On the identifiability of additive index models.

Optimal Spectral Transitions in High-Dimensional Multi-Index Models On the identifiability of additive index models

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:22.959974Z

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

Optimal Spectral Transitions in High-Dimensional Multi-Index Models Spectral estimators for structured generalized linear models via approximate message passing (extended abstract)

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T11:55:22.943306Z

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Pith citing papers

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

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

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

Reference 18

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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 Optimal Spectral Transitions in High-Dimensional Multi-Index Models

Reference 22

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

Approximate Message Passing with Random Initialization for Phase Retrieval Optimal Spectral Transitions in High-Dimensional Multi-Index Models

Reference 39

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