Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T00:14:23.176737Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 91 of 91 outbound references and 1 inbound Pith citation observation for arXiv:2412.19677.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T00:14:23.176737Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T23:29:20.785752Z
A source-named dated measurement, never combined with another source.
Source: cited_works
91 of 91 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a770206d-6ce1-4a52-877e-2c3b6e3f4936 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 43404026-2514-44b6-bf42-336abdc5492d · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 2
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Unavailable: canonical work link unavailable.
Observation 88c20d59-bd5c-4974-a03e-6a5a1d257e60 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Alweiss, Y
Reference 3
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Unavailable: canonical work link unavailable.
Observation a23fad05-dbb3-4fe3-b6e9-dcfaa81481e5 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Amelunxen, M
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0e020ab-4fb9-4787-85d1-a160424d2731 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Exact full-RSB SAT/UNSAT transition in infinitely wide two-layer neural networks
Reference 5
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Observation 3d26e3a6-dd64-40f7-8af7-6be1ca0bb190 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4832a55c-bc56-4623-bb3e-9b3d17af8757 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Aubin, W
Reference 7
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Unavailable: canonical work link unavailable.
Observation 706f032a-14d3-4fd5-b799-619faa76e62c · outbound
Deep ReLU networks -- injectivity capacity upper bounds Baldassi, E
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1cb13657-da94-4529-8b78-904525b1a6b2 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Baldi and S
Reference 9
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Observation 34806907-aea5-4857-81f9-7f891ce6d738 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Barkai, D
Reference 10
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Observation 90aff830-0aa6-4f79-b35d-4a9dd51a8994 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 11
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Observation 7e9f4a10-e239-4006-a2f3-1b7d8923bfbb · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 12
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Observation fd267886-70b8-401b-a5ed-b4c3f9b3ee9c · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 13
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Observation 9b89e8ee-3f7e-4eef-9dd3-f48a0ecb23e4 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 14
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Observation 35088075-3acc-40b9-ae82-a4a45b8d73e8 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Daskalakis, D
Reference 15
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Observation fbcea610-7aef-488c-92e2-1314470921a7 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 16
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Observation b0adecfe-3748-4e4e-b7c3-8db562b489a6 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 17
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Observation 961d5789-2386-4c69-a879-f6271a8a5f04 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Engel, H
Reference 18
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Observation 8dce4c42-c0d2-4d71-a074-070cc1b76dad · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 19
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Observation af7b5a30-a18c-400c-a7ba-296d15a96aae · outbound
Deep ReLU networks -- injectivity capacity upper bounds Fazlyab, A
Reference 20
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Observation 99ae3fac-9286-445f-a752-317ea8d2221f · outbound
Deep ReLU networks -- injectivity capacity upper bounds Fletcher, Sundeep Rangan, and Philip Schnite r
Reference 21
Source-reported events for the cited work
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Observation 6e09a92c-84e1-445d-8ffd-df141e671e1a · outbound
Deep ReLU networks -- injectivity capacity upper bounds Franz, G
Reference 22
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Observation d57eef86-c6b4-471c-9b05-d1709abf46c7 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Furuya, M
Reference 23
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Observation 08af7588-272e-49f8-aa2a-e4f6d11e206b · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 24
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Observation 3d00cd9b-d626-45c3-a3bd-8e7fb0ba26d8 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Kizildag, Will Perkins, and Cha ngji Xu
Reference 25
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Observation c6f67bc3-53e6-4cfd-b807-abf75ebcbbe7 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 26
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Unavailable: canonical work link unavailable.
Observation ef2ab17d-1255-4f2c-a3ae-452128158892 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Gardner and B
Reference 27
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Observation 5d91abc1-8b40-455a-85f2-d8b4d333ca6d · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 28
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Observation 003f7588-f8f6-4a7a-a7ef-21a3efcb4fb3 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 29
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Observation 84179fe1-7a01-416b-8984-5e42d05ad5e9 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 30
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Observation abc2c280-4c97-460d-af4b-96545e38a383 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Gutfreund and Y
Reference 31
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Observation d6a0bf0f-1a0a-4540-8d30-276e5e21e201 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 32
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Observation 7c48dd85-90e9-48f7-8f1f-0383ec328be9 · outbound
Deep ReLU networks -- injectivity capacity upper bounds He, C.-K
Reference 33
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Observation 03d94aa3-1a91-4d93-a3f0-bb1f3417e6de · outbound
Deep ReLU networks -- injectivity capacity upper bounds Rate-Optimal Denoising with Deep Neural Networks
Reference 34
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Observation 1a1b4355-9227-4eae-bcb8-8580a9c073a1 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Hegde, M
Reference 35
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Observation 3f83e9ac-7dab-4dc7-969b-2072a75a13c3 · outbound
Deep ReLU networks -- injectivity capacity upper bounds A Provably Convergent Scheme for Compressive Sensing under Random Generative Priors
Reference 36
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Observation fe84d51d-7546-4b19-8b9c-08af748fce02 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Jordan and A
Reference 37
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Observation 35f04020-e5f7-40f0-a45d-138766d4c0c3 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 38
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Observation 042f17f6-24e6-411f-9286-54df91b11bd1 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Kothari, A
Reference 39
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Observation 8fa0e912-e8c0-4155-9bea-79aaf7fbc421 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Krauth and M
Reference 40
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2e9fdef5-db79-40e2-841a-9d2fd758c731 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 41
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Observation 7a39be40-7c36-4fe6-8e14-4961e16d527f · outbound
Deep ReLU networks -- injectivity capacity upper bounds A Random Matrix Approach to Neural Networks
Reference 42
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Unavailable: canonical work link unavailable.
Observation 739af28b-ce7c-4e09-b9d6-794e5867bd62 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Injectivity of ReLU networks: perspectives from statistical physics
Reference 43
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Observation 606e3889-e7ce-427d-8029-c26a68a105f7 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Mardani, Q
Reference 44
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Observation 89578b60-d964-489e-b98f-ba935c637d36 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 45
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Observation 46deb051-3caa-4030-b7b6-b43682b39601 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Pennington and P
Reference 46
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Observation 2cc6cc82-fb2c-405f-8097-d101464f9485 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Perkins and C
Reference 47
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Unavailable: canonical work link unavailable.
Observation 1da87fcd-50e3-4fcd-bf97-5d13f6658fdc · outbound
Deep ReLU networks -- injectivity capacity upper bounds Puthawala, K
Reference 48
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Observation 9ba0da82-0a44-43ca-9c5f-f64a3e13006e · outbound
Deep ReLU networks -- injectivity capacity upper bounds Puthawala, M
Reference 49
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Observation bdb1fb6f-9dd2-4516-9a12-f1ab70bbfd27 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Rangan, P
Reference 50
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Observation 47191eb8-7b28-49a0-ad5f-36e4f119da91 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Romano, M
Reference 51
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Observation a12ca419-e329-45c4-8c10-06781e078871 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Leigh Ross and J
Reference 52
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Observation 765f2647-aaf5-47c0-8b00-6c2e322f40a6 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 53
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Observation 02eaf810-08c4-4a50-8ffc-e4ffe3f53080 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Schneider and W
Reference 54
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Observation 8a0b24b0-8156-4061-88c5-824d33914c51 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Schniter, S
Reference 55
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Observation 41ea093f-3b57-4452-87be-17e9615efa26 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Shah and C
Reference 56
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Observation d9b11198-e1bd-45e0-a3cc-78d365bb4606 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Shcherbina and B
Reference 57
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Observation 76ac3b10-fabf-46ca-bff1-059b5499265a · outbound
Deep ReLU networks -- injectivity capacity upper bounds Shcherbina and B
Reference 58
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Observation 502dd818-1f63-4f29-9269-48fd4f771fd7 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Block-length dependent thresholds in block-sparse compressed sensing
Reference 59
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Observation 9f5b1ad6-365c-4664-860b-c634d614883f · outbound
Deep ReLU networks -- injectivity capacity upper bounds Various thresholds for $\ell_1$-optimization in compressed sensing
Reference 60
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Observation 4977795d-31d2-4aa9-8d56-4b0ae90171d8 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 61
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Observation d6785f24-a2f6-449e-beac-ec8e2290c60d · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 62
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Observation c8cd031b-28bc-4979-9a6a-91e73d98d1b1 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Another look at the Gardner problem
Reference 63
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Observation 04ca195f-ad4f-4099-a478-0c7ba24d793e · outbound
Deep ReLU networks -- injectivity capacity upper bounds On the Computing of the Minimum Distance of Linear Block Codes by Heuristic Methods
Reference 64
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Observation dd81d6d2-602a-4995-922c-8e07d1b13b59 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Lifting $\ell_1$-optimization strong and sectional thresholds
Reference 65
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Deep ReLU networks -- injectivity capacity upper bounds Lifting/lowering Hopfield models ground state energies
Reference 66
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Deep ReLU networks -- injectivity capacity upper bounds Meshes that trap random subspaces
Reference 67
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Observation cbfbb468-2aef-4287-83c5-b35204578b0b · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 68
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Observation bc93a770-2cb1-4ffa-b4e6-2f589b3572c7 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Regularly random duality
Reference 69
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Observation 76b04fa7-f219-457d-8a95-8501cda66db9 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Spherical perceptron as a storage memory with limited errors
Reference 70
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Observation fcecc65b-acc5-4245-a1d9-177734881da0 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Fully bilinear generic and lifted random processes comparisons
Reference 71
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Observation 7c556cde-b880-41a5-a0fc-e87e01c7ae12 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Generic and lifted probabilistic comparisons -- max replaces minmax
Reference 72
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Observation ba80d0fb-e0b4-4136-8228-999f1b2be320 · outbound
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Reference 73
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Observation 6c2207c8-6af6-47ae-a1bc-1f75cb9b289a · outbound
Deep ReLU networks -- injectivity capacity upper bounds Binary perceptrons capacity via fully lifted random duality theory
Reference 74
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Observation cb6fc16e-de48-4c41-baad-aedee293e2c1 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Capacity of the treelike sign perceptrons neural networks with one hidden layer -- RDT based upper bounds
Reference 75
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Observation 3eeb2456-cd2c-48a6-b52d-382a3de4075c · outbound
Deep ReLU networks -- injectivity capacity upper bounds Fl RDT based ultimate lowering of the negative spherical perceptron capacity
Reference 76
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Observation 1ca4c658-effd-46bd-9e20-47a074515e07 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Fully lifted interpolating comparisons of bilinearly indexed random processes
Reference 77
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Observation 97720d8e-45c7-4a1d-b722-f505694a870b · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 78
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Deep ReLU networks -- injectivity capacity upper bounds \emph{Lifted} RDT based capacity analysis of the 1-hidden layer treelike \emph{sign} perceptrons neural networks
Reference 79
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Observation 871fd412-fd84-458a-b62c-3150253eaa47 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 80
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Observation 13d75a76-1b92-407c-b4b5-21aa8eba4455 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Fixed width treelike neural networks capacity analysis -- generic activations
Reference 81
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Observation 6aac608c-7fce-4455-81b0-16ec9288806a · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 82
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Observation 15176c29-a009-4883-b4d6-10fb15bbd0f1 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Talagrand
Reference 83
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Observation 020eb0a4-72a8-4556-8083-a78d99b04f56 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Talagrand
Reference 84
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Observation 58a7d077-487e-4bef-bea8-6525752ccd34 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Venkatesh
Reference 85
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Observation 4964d67a-dab7-4b60-8500-010ecd67be42 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 86
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Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 87
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Observation b7cd6013-4acf-4c31-8607-9dcd5b307e3d · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 88
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Observation 7a7574da-dcd7-4e2f-bd0f-e571dbb43481 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 89
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Observation e8aafc14-e96a-4650-b247-e226229df38b · outbound
Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work
Reference 90
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Observation db152ac8-277d-4418-8bee-d50af53e9dc3 · outbound
Deep ReLU networks -- injectivity capacity upper bounds Exact capacity of the \emph{wide} hidden layer treelike neural networks with generic activations
Reference 2024
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Observation 8c03c6bd-8b6c-4482-b46c-088ac55146d8 · inbound
Optimal spectral initializers impact on phase retrieval phase transitions -- an RDT view Deep ReLU networks -- injectivity capacity upper bounds
Reference 102
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