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Paper Citation Record · LEDGER

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models

As of 8 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 3 inbound Pith citation observations for arXiv:2506.05500.

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

pith.paper-citation-record.v1
2506.05500 v1

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:32:00.346155Z

measured 62 of 62 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T23:35:23.879187Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-04T23:35:28.240868Z

Reference resolution

59 of 59 outbound references displayed

  • verified exact1
  • verified fuzzy48
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eec43b36-4820-4efa-9d04-407c345d2f11 · 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.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian 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 2026-08-07T10:32:01.002797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.195739Z digest=sha256:ea918d7aa15cffc318985c200b9a0574046e8d545931788b71b54fd6bafc5e93

Observation 257976cf-7d17-4436-ac13-48fe899219de · outbound

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

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Sgd learning on neural networks: leap complexity and saddle-to-saddle dynamics

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.995061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.199262Z digest=sha256:0772d57be3b636634992fb908480571db9d3cc7ba94a9b2c010906ff885a0b57

Observation 84b87fea-f866-4788-b652-15c8d20bd32e · outbound

This paper cites The staircase property: How hierarchical structure can guide deep learning.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models The staircase property: How hierarchical structure can guide deep learning

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.987145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.202085Z digest=sha256:ca9db9d88d7e2f7a9186b048b09590f9a736ff0d127446a002a32034e006edc4

Observation 86c0a450-f32f-4a29-8499-cf181b2d5c85 · outbound

This paper cites Repetita iuvant: Data repetition allows sgd to learn high-dimensional multi-index functions, 2024.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Repetita iuvant: Data repetition allows sgd to learn high-dimensional multi-index functions, 2024

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.979228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.205449Z digest=sha256:9e670a758db5ee50a89eae474b29ed4d3c36c89f5fe62773e789f935955d91a3

Observation 3609ea4f-db77-47db-bfd8-0b12e496d5d9 · outbound

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

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Online stochastic gradient descent on non-convex losses from high-dimensional inference

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.971677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.208248Z digest=sha256:ee861ed11de4e60d62354a020e33e201a46186e70f0be9de3004934158c5e2cc

Observation 57297d56-37aa-4b92-bffa-dbff2155a784 · outbound

This paper cites Stochastic gradient descent in high dimensions for multi-spiked tensor pca, 2024.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Stochastic gradient descent in high dimensions for multi-spiked tensor pca, 2024

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.963874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.210730Z digest=sha256:328cbf484b61af138546b7ffcca63ef5c286590ab959ee4342583328e19c5e7c

Observation 88df70a5-556d-42d2-95d2-3a2b10696291 · outbound

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

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Online stochastic gradient descent on non-convex losses from high-dimensional inference

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.956100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.213361Z digest=sha256:a6ccec19a488ab3286b4a21e2fbf60a24531706ac5e13b9b3865c30ee1e14daf

Observation c99a00eb-242d-4941-9c83-e5e92e7fce63 · outbound

This paper cites Statistical query algorithms and low-degree tests are almost equivalent.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Statistical query algorithms and low-degree tests are almost equivalent

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.948237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.215864Z digest=sha256:5823495a6899bba8f1bf0a8ddef765176c4ffe929cb03986fd9634f17db970da

Observation bca692ca-2517-42a5-b4cc-707dec7309d8 · outbound

This paper cites On learning gaussian multi-index models with gradient flow.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models On learning gaussian multi-index models with gradient flow

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.940359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.218336Z digest=sha256:dec82d3395c069a2d51f91a0b8e87bec0a3dd4826e46d7cb3368137f49790b26

Observation 201ebe87-ec25-48b9-893d-b2e7cc7ef58b · outbound

This paper cites Learning single-index models with shallow neural networks.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Learning single-index models with shallow neural networks

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.932864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.220782Z digest=sha256:4cc8a8a00bd6dfb04f69f155f8f65a2b55683bad91383bedffc1c2d24ef9e8a2

Observation 1d0475b4-2f0b-46f5-9128-80a748d53ba0 · outbound

This paper cites Bandeira, March T.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Bandeira, March T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.924906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.223650Z digest=sha256:571e9d9fcc93f6d25328672751f5aa925ebcc920e33a22d6166a05c09aadabe9

Observation 3b187f0c-4568-4347-835e-12f6dc3d37de · outbound

This paper cites The franz-parisi criterion and computational trade-offs in high dimensional statistics.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models The franz-parisi criterion and computational trade-offs in high dimensional statistics

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.917458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.227624Z digest=sha256:fa408b2c8d70a0e1c8a31f5cd4e2de798216b88a7d16eb76d3c3935a6a5a7489

Observation a7f9ffab-57fd-42bd-9aff-088f1a92a856 · outbound

This paper cites High-dimensional Asymptotics of Feature Learning: How One Gradient Step Improves the Representation.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models High-dimensional Asymptotics of Feature Learning: How One Gradient Step Improves the Representation

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T10:32:00.230044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:32:00.230044Z digest=sha256:75d6c29469432730265d81a5d92d126e5640bad3d7de04a72cdc9b3c79f9f42f

Observation 27d09cad-76a7-47d8-b749-ab992d15e743 · outbound

This paper cites Survey on Algorithms for multi-index models.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Survey on Algorithms for multi-index models

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T10:32:00.232733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:32:00.232733Z digest=sha256:81772ae03f699643f91abc37674e2e9872f638387c432a95cdbc41083092f441

Observation 6f42b07d-3485-4f25-a001-a81b648ef3fd · outbound

This paper cites Universality and sharp matrix concentration inequalities.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Universality and sharp matrix concentration inequalities

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.909809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.235310Z digest=sha256:658af7a0453557859797bc5936c7635680c5c5c00cdbea34983fe5fbe6e9b094

Observation 23bff638-7d78-4c98-8d63-fa4f57e17111 · outbound

This paper cites Towards understanding hierarchical learning: Benefits of neural representations.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Towards understanding hierarchical learning: Benefits of neural representations

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.238033Z digest=sha256:78221470bdd1b295fd96037c89d39780c2d2b94cdd72c4bdc66c33f6b91c62b2

Observation 5989068b-b910-45c6-8e38-6e0de9056971 · outbound

This paper cites Learning narrow one-hidden-layer relu networks.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Learning narrow one-hidden-layer relu networks

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.240395Z digest=sha256:ac56bb44695547cada924b5108440c6649d83f818dc92b86a2a2b37828fae2a6

Observation 33e970e5-f984-4d67-b618-e0d0ba8aaefb · outbound

This paper cites Learning deep relu networks is fixed-parameter tractable.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Learning deep relu networks is fixed-parameter tractable

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.887272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.242949Z digest=sha256:0ef45b7f21e64169561e0aa615cb9aeb6bbb57715ccf7f8393a30f174f5a50d3

Observation d6271a0b-96c4-4dfd-a7ce-b6645372b8d5 · outbound

This paper cites Dimension reduction for conditional mean in regression.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Dimension reduction for conditional mean in regression

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.879560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.245239Z digest=sha256:e9129952ede85d037179435973bdccd1da8706085ed97d09a61da297ac820037

Observation 504eeb40-4838-4f38-8991-fc2201a74d16 · outbound

This paper cites Learning polynomials in few relevant dimensions.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Learning polynomials in few relevant dimensions

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.872566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.247908Z digest=sha256:bb81bdf36ce479b741b42e43f7ee61b4dd9a6054d7a33c11e16c7407c081c404

Observation 2ce5ca44-d344-47fe-8c8a-30be026b2198 · outbound

This paper cites Dennis Cook.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Dennis Cook

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.864988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.250262Z digest=sha256:9e4ffdbe592ac7e2768f48fbeff6dfab579571a1dda7cefc6ad218df8ba0bd71

Observation 03dff563-4ab1-4999-b226-a7bf2501dc57 · outbound

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

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Optimal Spectral Transitions in High-Dimensional Multi-Index Models

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T10:32:00.252569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:32:00.252569Z digest=sha256:fde6dec1068ddcf815e790db4cea7407cada1cb2cc37723116e9fe62e83bf162

Observation e9d0ca6e-4164-48cd-ae36-5913ada8a864 · outbound

This paper cites Learning single-index models in gaussian space.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Learning single-index models in gaussian space

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.858247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.255208Z digest=sha256:0a9d9c152865c9015c8bc4a0d0dc14fa921335575306f68ac943604e699ec881

Observation f9e330ca-1bbf-450c-be02-d2afdd4730a3 · outbound

This paper cites Statistical query lower bounds for tensor pca.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Statistical query lower bounds for tensor pca

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.850672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.257604Z digest=sha256:5067d068ab26f74d6130453f2d1ae60394375b97b7d28bb4c7bcd9b7eab68b17

Observation 233c4883-cb12-4d23-957f-0b6030336e66 · outbound

This paper cites Statistical-computational trade-offs in tensor PCA and related problems via communication complexity.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Statistical-computational trade-offs in tensor PCA and related problems via communication complexity

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.843110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.260096Z digest=sha256:e8b8d0c069f4890bda163f50104cfacc2e4ea78008f20b28a33f5c7265a9cb65

Observation 8f925cf8-b735-4551-8a26-cb1b7f03ecce · outbound

This paper cites Kane, and Lisheng Ren.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Kane, and Lisheng Ren

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.835104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.262591Z digest=sha256:401aca44f5804475128713a08eeb5baa3b5cabbbefe93af6cbc24f35b51bdff4

Observation 1415d91e-cad6-4f78-8e11-50729745ec5d · outbound

This paper cites Kane, and Nikos Zarifis.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Kane, and Nikos Zarifis

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.827749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.264969Z digest=sha256:83490f0ccd94b3d2f6136463e7eaed471db47d37d14fcdda60a923f725a3a83a

Observation abf464eb-3ab4-4a6a-894a-28225a1b6189 · outbound

This paper cites Efficiently learning one-hidden-layer relu networks via schur polynomials.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Efficiently learning one-hidden-layer relu networks via schur polynomials

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.819992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.268287Z digest=sha256:0f3909043854e76da2dff4db941bb1d35294b257692d48f96a45c54df0610c41

Observation 63b5b56e-517e-40da-b966-4d4baa2021ae · outbound

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

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models How two-layer neural networks learn, one (giant) step at a time

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.812405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.270693Z digest=sha256:372bb80d9ce833ca4f5c44972f0e1ddd6ab1a88272aaefd32d947eb9f18fee90

Observation 0d85ef35-82b6-4b48-a555-ff258cb5430a · outbound

This paper cites Kane, and Alistair Stewart.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Kane, and Alistair Stewart

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.804091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.273311Z digest=sha256:7b2be275074b4f5b166401553c67153e23cf4b59d26ac981e6273a24ae1c2ed5

Observation 5e5660d5-c2c5-44bf-93c5-bb1bda3b84d5 · outbound

This paper cites de la Pe \ n a and Evarist Gin \'e.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models de la Pe \ n a and Evarist Gin \'e

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.796305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.275902Z digest=sha256:423c96ede965d1576f4a173ad91ed0d6953172ed6de13ee68500914b924194eb

Observation d85d7806-5b29-4084-867f-64c6444fd538 · outbound

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

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Neural networks can learn representations with gradient descent

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.787569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.278326Z digest=sha256:88636cb28783d75494e4f3d098743f284b57706bf4040e72d80fd9059d65f3ce

Observation 400b9ef6-9c70-4f0f-8ff6-31cbb1dd5e43 · outbound

This paper cites Online Learning of Neural Networks.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Online Learning of Neural Networks

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T10:32:00.280739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:32:00.280739Z digest=sha256:276864df51e218eaa4adcd772272f2f631be89fd0b6936c91464e7bbb6b50fa5

Observation b54ab9b3-b9c9-4a24-a8b3-b395342fc9ca · outbound

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

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Smoothing the landscape boosts the signal for sgd: Optimal sample complexity for learning single index models

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.779861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.283748Z digest=sha256:865e560ceb0de8c4edd344f88d2e6a5659da1c180873296895a9e4006b7af1c7

Observation d2e146b9-81ec-4ec5-8b46-edb9d28b9aa4 · outbound

This paper cites Computational-statistical gaps in gaussian single-index models.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Computational-statistical gaps in gaussian single-index models

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.771943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.286258Z digest=sha256:f198e349e2db7a5b35dbe28cefa77fb681ffce4d4b551d9a32ec054aaaef2dd7

Observation 7a4afc0f-35aa-452a-ab00-94b011c61dda · outbound

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

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models The benefits of reusing batches for gradient descent in two-layer networks: breaking the curse of information and leap exponents

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.764646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.288951Z digest=sha256:014d72cf6b9aca5a0e7dbda51f8ad83137c7b74f727d9433eb2d956bb37b6158

Observation ee1d80cc-9761-4933-80ec-dc9b9717cd4b · outbound

This paper cites Structure adaptive approach for dimension reduction.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Structure adaptive approach for dimension reduction

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.756049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.291565Z digest=sha256:9eb5b762030c8438c6191f8ee64669dfd7320235153a8e7718658177785b6bca

Observation 08163a78-bbae-4164-bca7-7ff7e4727703 · outbound

This paper cites The power of sum-of-squares for detecting hidden structures.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models The power of sum-of-squares for detecting hidden structures

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-07T10:32:00.293991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:32:00.293991Z digest=sha256:09767b9d0839b816bc4ecf0fe784ecbe2c21d7e4188ab01db400af57b28f0bbc

Observation 0082ebdd-63c4-4d9e-b7da-56b55fcaa0f5 · outbound

This paper cites Statistical inference and the sum of squares method.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Statistical inference and the sum of squares method

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.742665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.296285Z digest=sha256:93ccea5539b4423b31d124dee18c53539feaf3b91c0b1475c745075ed213d45b

Observation 84f1a3a9-af5d-4b84-a00e-dabcc419b21a · outbound

This paper cites Tensor principal component analysis via sum-of-square proofs.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Tensor principal component analysis via sum-of-square proofs

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.734553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.298699Z digest=sha256:d9abef8af13537ee3742aeb57b53ea33b61d9e3e9878a0adf5f780780a373ea5

Observation 119a0d30-e85e-4791-b0c1-2fb6e359055b · outbound

This paper cites On the complexity of learning sparse functions with statistical and gradient queries.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models On the complexity of learning sparse functions with statistical and gradient queries

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.726785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.301034Z digest=sha256:69d917c1546a70a27c649ace19e2b72ae98edacf4072cb68828af66812beecb6

Observation a99e5686-e035-49fa-a02b-a81445b392eb · outbound

This paper cites Learning geometric concepts via gaussian surface area.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Learning geometric concepts via gaussian surface area

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.719142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.303472Z digest=sha256:08a6e3c8c6ce75e335bbb5f70055cde1703dad54c6d79f6a18ac2389e9a37c5e

Observation 07169a0a-d3ef-4ad8-b039-036057db024f · outbound

This paper cites Learning intersections of halfspaces with distribution shift: Improved algorithms and sq lower bounds.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Learning intersections of halfspaces with distribution shift: Improved algorithms and sq lower bounds

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.711005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.305834Z digest=sha256:57c2337edb797bb6ea166dbcc6d152418acc5635b4361bfd21de6afc67dc9b7f

Observation a2ae5aa5-b462-460e-a0d1-8e6290538250 · outbound

This paper cites Notes on Computational Hardness of Hypothesis Testing: Predictions using the Low-Degree Likelihood Ratio.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Notes on Computational Hardness of Hypothesis Testing: Predictions using the Low-Degree Likelihood Ratio

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T10:32:00.308756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:32:00.308756Z digest=sha256:d93dd012ddf7d428165b27c1fef812b515aae34c209a6ffabeefd4011eb5d0c1

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

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

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=sha256:78d3340474049bfa56633c04b940caca71e76fe9f3d596d57a317d592d71e5fe

Observation f0c2be20-ebae-494d-b9f0-5a5e538673e1 · outbound

This paper cites Sliced inverse regression for dimension reduction.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Sliced inverse regression for dimension reduction

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-07T10:32:00.314452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:32:00.314452Z digest=sha256:51c4464e919891f9901b58b0cc4f589dbda244f634bd34b9a6a2cfcf37dafbcd

Observation a61fc7bc-5652-43cd-9faf-e7a8dd541e2c · outbound

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

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Neural network learns low-dimensional polynomials with sgd near the information-theoretic limit

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.697707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.316767Z digest=sha256:0b9045054b43e9f0df2d09e04c39e96dea1c3a6443a5e087d14342f473d03812

Observation 86b53d4f-e51f-4a24-9b31-477378159798 · outbound

This paper cites The Zero Set of a Real Analytic Function.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models The Zero Set of a Real Analytic Function

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-07T10:32:00.319028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:32:00.319028Z digest=sha256:deab9ea848b4549adc23000123038923376ddbcba3ec42675696adc691457dd5

Observation 21388ebb-5932-40b8-85d3-068c92ab4edf · outbound

This paper cites Learning juntas.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Learning juntas

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.690372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.321717Z digest=sha256:75749a9e1f7fc903ba36b5c2a103dd1b19d60504570beb75be1a9d2a740371bf

Observation 6fb7510c-3d7a-480a-9fcc-493105184215 · outbound

This paper cites A statistical model for tensor pca.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models A statistical model for tensor pca

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.682934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.324215Z digest=sha256:9cdfca650198f380d57306f625d730d92d35612905920012789e884f73e724db

Observation e67f7440-4d67-4ff8-86dd-529c0ac3019e · outbound

This paper cites Learning orthogonal multi-index models: A fine-grained information exponent analysis.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Learning orthogonal multi-index models: A fine-grained information exponent analysis

Reference 51

Resolution
verified exact
raw_fallback, observed 2026-08-07T10:32:00.560964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.326932Z digest=sha256:a00cc38459dc6a69b9d360175779d21453c847a7fdc1a892abb1b10b8a9e1933

Observation 606d6f5e-4a2a-4d79-a54b-c9b2a5751032 · outbound

This paper cites Emergence and scaling laws in sgd learning of shallow neural networks.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Emergence and scaling laws in sgd learning of shallow neural networks

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-07T10:32:00.329545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:32:00.329545Z digest=sha256:4ed60348e6a240caaa0adde198dab47c9db3da0ea5ea749eac8fb7656949da4f

Observation 223a1637-072f-43a7-8c54-3027862d8a82 · outbound

This paper cites Sriperumbudur, Arthur Gretton, Kenji Fukumizu, Bernhard Sch \" o lkopf, and Gert R.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Sriperumbudur, Arthur Gretton, Kenji Fukumizu, Bernhard Sch \" o lkopf, and Gert R

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.675831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.332055Z digest=sha256:2823976344c01ebcbcf68b6a86fcd9404e1020097cebfd5c6cdc6f8873fd80d8

Observation 1ffdd41f-b9ce-43ec-8108-6b9767cf7dee · outbound

This paper cites Fundamental limits of weak learnability in high-dimensional multi-index models, 2024.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Fundamental limits of weak learnability in high-dimensional multi-index models, 2024

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.667371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.334315Z digest=sha256:026de65fb770fc0e41caeb2d9ada65da1b75fdcd16a1fcf8d19c65b862b77483

Observation 3a7f9810-6a22-41f6-a1ed-129218466098 · outbound

This paper cites Learning convex concepts from gaussian distributions with pca.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Learning convex concepts from gaussian distributions with pca

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.658193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.336597Z digest=sha256:c09353550816124681de0722e76670c08ab10a48ddb1d48b0d5f1f772fa6f144

Observation 5f543766-1e69-4ef1-bb20-23e0e2353bfe · outbound

This paper cites Vempala and Ying Xiao.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Vempala and Ying Xiao

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.650082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.339019Z digest=sha256:33f6553d31036a07d4f2942a70ed134a5efcc6b16f3eff7e59f4557636011cfe

Observation 94b8ee27-65ca-45a2-9618-f7d206e6ae89 · outbound

This paper cites A multiple-index model and dimension reduction.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models A multiple-index model and dimension reduction

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.641718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.341447Z digest=sha256:5620523006d5e14d5a001a0834f109c291a0908a1485fe9e4b793884fe758058

Observation 17dc52b7-d696-4108-998f-ddf0ca1040d8 · outbound

This paper cites An adaptive estimation of dimension reduction space.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models An adaptive estimation of dimension reduction space

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.633412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.343828Z digest=sha256:e35d926137ad98a5c9d7f83f76ffc66ad66264d52def356d4b3ddcc070a37d09

Observation 1a703740-8f24-475a-b3fc-6bfe48f01856 · outbound

This paper cites Interpolating convex and non-convex tensor decompositions via the subspace norm.

The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models Interpolating convex and non-convex tensor decompositions via the subspace norm

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:32:00.625696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.346155Z digest=sha256:8e85a2b008e59bfa8bb92cd6fe30e9503261776462c9c20002b7d4c5b9898540

Pith citing papers

Observation 24064e4f-84f0-4154-999e-cc4a6c8349dc · inbound

Limitations of SGD for Multi-Index Models Beyond Statistical Queries cites this paper.

Limitations of SGD for Multi-Index Models Beyond Statistical Queries The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T04:19:43.930263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T04:19:43.930263Z digest=sha256:d054c33c93e334b1f900244b67da613bea0402901a6713adbd36649cecfb0ecd

Observation 11139e03-0d24-46c7-b45c-3d606d79053e · inbound

The Multiscale Single-Index Model: A Stylized Model for Hierarchical Feature Learning cites this paper.

The Multiscale Single-Index Model: A Stylized Model for Hierarchical Feature Learning The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models

Reference 26

Resolution
unresolved
no resolver link, observed 2026-07-12T03:07:54.001891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-12T03:07:54.001891Z digest=sha256:0bfeffdeb12c16b1ed1a476632da798d812fc174ba7856c51fa13c49ccb233c7

Observation a910d7c5-3557-4041-b76d-b910404b7846 · inbound

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

Approximate Message Passing with Random Initialization for Phase Retrieval The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models

Reference 24

Resolution
metadata mismatch
local_arxiv, observed 2026-08-04T23:35:28.248246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-04T23:35:23.879187Z digest=sha256:275fe811ffcf67fab347ef2883055f346ae3548e4ea962fdd1efef7f7e9cee6f