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Paper Citation Record · LEDGER

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

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.195739Z digest=sha256:7f528f72da98ef7f635a09bbccdfa5b3e6809a900cdd70fa059098038e838977

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.199262Z digest=sha256:610f46b335cb9f124a02948415b478953277ad0528dd3d997639930d7e6a5a6e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.202085Z digest=sha256:e225eea9e388017da0d0b61a88da3f9a52bb69e5ca459c2a2a51d07e83f87234

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.205449Z digest=sha256:54ba16c1a39c87105eaad6a9156bef053772dad8abd4b095c75c3c3940df0ac8

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.208248Z digest=sha256:b2a287b66955795da41f02f14cb636cd867b5520ef9f54551f0c41e5d3c5c7cb

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.210730Z digest=sha256:1f60bfd6649491b64657d21a0277b280fdd29f34b65498c9caa11e55d4121bf0

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.213361Z digest=sha256:ca148bd6cab8fba5cdccd5313b4e08b8b5af5e6d7119cb882d1150c4430bdeff

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.215864Z digest=sha256:bca7e6f2998e43689b4e121b53adec387f04594a8e0bea7e0f4e36a754a4fa50

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.218336Z digest=sha256:691a5e150d3f16a51a628e653939a8ee65e1003f37d66e3db4eaf4b1cac2c7fa

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.220782Z digest=sha256:2e7b9eec3e7bc2a93d6cfa022b79bf7aa268d8a177009893d31401a0617b27f2

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.223650Z digest=sha256:b2d149acbb34edbced5ee220d4b2e9ff12c823d210344f304c5c6a651a517dfb

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.227624Z digest=sha256:4ba04407198e92f534dafb23836d5e9dd61f7dd9c7a15762304d8b29517c4fa0

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:a8ee6133f9ca9b418c2a21574f25df9eeae0d63eb853bfdc42539fab6afe03c9

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=sha256:5e51a75996955f4d0f4a5c2515ec86bbfb92a07468edbd3f973bfd5829b0bdf4

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.235310Z digest=sha256:62c70ba38e15cd34d2363f3adca392fff415d02c1d87cbece3fc80bb3b5616dd

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.238033Z digest=sha256:798e149d363f2b007f5ae27246339061a6a4a6df433152626bf1afe3629709e7

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
raw_fallback, observed 2026-08-07T10:32:00.895030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.240395Z digest=sha256:6ff93a80e2223cdd701b79f8ab1cd6954cbb33b152cfd8df9bb3eb45c53bcf03

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.242949Z digest=sha256:b892ddb5c5e96b5e0ab8c96227b0117465b21580f62c5ecadd5418e527ef269e

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.245239Z digest=sha256:733a116af3a38c0338a684d5cf9a0dd6f46665dd63e9696d416828d67005d76d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.247908Z digest=sha256:e5cd99abb144ee6b5b1d7858a862f1a4f732e444d2dfff195be16d8fda53d3ef

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.250262Z digest=sha256:db0e467f52b8117d441f51e7585b7c16b935acbb513328f26d51478c26b91a3e

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
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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:b2776a215897e18436768589bc0418bd2dd1fbab252eac5c69df6d6594956d52

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.255208Z digest=sha256:7459e28e0d17dc6c6e41c654d79161edfd34a96f266e03757571436220df078e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.257604Z digest=sha256:873042cb8e9cc38602d42bcec9726e73cd2b51497f1725b5103fc3bc05f3ac94

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.260096Z digest=sha256:d431aef95d0573f81bcc5d441fb633c624a5e8398778f77cc8852d6394b79f4b

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.262591Z digest=sha256:2a1361d621720ff193b185a481102017a9d3b80a44a8f9f5d658a68d623db153

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.264969Z digest=sha256:e265c28692982c2946d4ac2d7779caf49d8287e17ed4e828a6ef7bf90ed6ad43

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.268287Z digest=sha256:b8d879b698355324bd238df6de51363f175995982b7b78454ed46cd76b791075

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.270693Z digest=sha256:5d3ae2d1eefe07fd2efd7bb9ac7ff1976523fbc87c970ff2d9de7b9a166d57e1

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.273311Z digest=sha256:5c8d0807ff381e7343947aa9a48d480a723a1cb1f2e04756f990bd0eb958fa08

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.275902Z digest=sha256:35104c28ae20570ec9790d834882dbd9d20aa5753f26f8eb2938a6b78652be61

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.278326Z digest=sha256:f42359a8739ed2e4d784cfacd9c9609ad6fc13c119a9afc56579d41c6d611ab0

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.283748Z digest=sha256:fa8c42d42c4b5cfa7ce96ab7f7b6ebe4b2de254dd0d960184cafe86d25649054

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.286258Z digest=sha256:1a210c859f84326fd1cb5371751a06221a872136e12cec5839e861e0eba4cd8a

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.288951Z digest=sha256:e8129ebdfc983d136f4ad2996d07b73bde1141aef16b57233901d2048665f3eb

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.291565Z digest=sha256:cdf226232221210b15aa084e4281fab730036350094b4708868f2704b61b74cd

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.296285Z digest=sha256:c740ccb43804505513e42d083b214047b23721273cbab40cdd3ccde63f4080eb

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.298699Z digest=sha256:142034b77fd0c58e926744c91d126de71f058e53adf327665cc689b7fe31989d

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.301034Z digest=sha256:3fc2800ef0ddbb3c6379577f2675269c81f1d67b57bb81aff0a80b7e3b4aad59

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.303472Z digest=sha256:09572ca52121ad4a7061ad7a87079ee7b06130050e23bc071a16c1b8242d18cc

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.305834Z digest=sha256:6527fd5bab6e17757b8e433faf69ca671ab7137198886f56e98c92a03a84b55b

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:a2484c17543abef24b26b3be7ce5158945b1f5aac01a5e3f26c53144c5364f6f

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.316767Z digest=sha256:d6b99f56732eeed0b8b4c1a872b66c8210bf95d55c6508893c205bd20b1f4e14

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.321717Z digest=sha256:fa610d4e72ed44f1cf15865491a969ca82ea6af92bbe10cce34ac09ad0eebb2f

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.324215Z digest=sha256:7187154d602032a75fa5b72b83093dae9623f047f7d4b6ef275d9eeb6c5fd469

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.326932Z digest=sha256:dcc26dce1055ad84ab9104a8ac654d9cd70305940a997081dc27d60dd5b94126

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.332055Z digest=sha256:98b67ceaa93de53d2318de77f3573f2b2beb80435924dd5c5be8fc4bea81e11a

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.334315Z digest=sha256:36283029eaf24251bb29888218f7948c4398941cdbad5a65045cb515e1790b1c

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.336597Z digest=sha256:7f4b41093774017725550e7e9c70c0caadc3c3d2584a86b58b14b05316d6718e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.339019Z digest=sha256:a9dd5c64874c8a6c37ef37e08ff4eef2834dc0dbdb163259c3fc6aebdc5e75c9

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.341447Z digest=sha256:37f282a5b84951596c7d1b39c89e16c10bc8ccdf81805bada99c3ad7a5b79fb0

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.343828Z digest=sha256:0299a0b280834b7d610da54304e408a5a97520de3d971af04e5eed12a6a5f38b

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-07T10:32:00.346155Z digest=sha256:9bf4be40443ad3a2a64254417244b4d21a73bcf1030c57b83a6137e63eaa06ff

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=sha256:29f1320b661f704a2daba2a5a3e1ae54d4500c99143f7d74be7fc1f5a3fb1e96

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-04T23:35:23.879187Z digest=sha256:2577e02195de420c491c3c4d358579098f93d81d57cdd06a11a84b3ca2c2423e