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Paper Citation Record · LEDGER

Deep ReLU networks -- injectivity capacity upper bounds

As of 18 August 2026, this Paper Citation Record lists 91 of 91 outbound references and 3 inbound Pith citation observations for arXiv:2412.19677.

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

pith.paper-citation-record.v1
2412.19677 v1

Coverage vector

measured 91 of 91 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:14:23.176737Z

measured 94 of 94 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:59:20.146584Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:57:39.895903Z

Reference resolution

91 of 91 outbound references displayed

  • verified exact9
  • verified fuzzy25
  • unresolved57
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a770206d-6ce1-4a52-877e-2c3b6e3f4936 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 1

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:14:22.819480Z digest=sha256:03e57e89f939b784959de322d41a38267e82f0e9f3a5439e66b3b6878567d66f

Observation 43404026-2514-44b6-bf42-336abdc5492d · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-11T00:14:22.824222Z digest=sha256:9b798bf1a14f31e4e0180b1324b75a469c2fbc021594da32d4cc011703880f09

Observation 88c20d59-bd5c-4974-a03e-6a5a1d257e60 · outbound

This paper cites Alweiss, Y.

Deep ReLU networks -- injectivity capacity upper bounds Alweiss, Y

Reference 3

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source=pdf_text observed=2026-08-11T00:14:22.829017Z digest=sha256:9c86798a1ebaa012182f06072b3211f9bf2bc482865cb9c6bfd3ac5f85afd7ca

Observation a23fad05-dbb3-4fe3-b6e9-dcfaa81481e5 · outbound

This paper cites Amelunxen, M.

Deep ReLU networks -- injectivity capacity upper bounds Amelunxen, M

Reference 4

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source=pdf_text observed=2026-08-11T00:14:22.833146Z digest=sha256:5131a1d26600df498f7b179f1aca5e0e283035538562b027a27357eabe086009

Observation e0e020ab-4fb9-4787-85d1-a160424d2731 · outbound

This paper cites Exact full-RSB SAT/UNSAT transition in infinitely wide two-layer neural networks.

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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local_arxiv, observed 2026-08-11T00:14:23.603442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.837366Z digest=sha256:55b3ca8e2f154193ff1b98d37d49ee526a81eff26fd814ff27b8a998147e16ba

Observation 3d26e3a6-dd64-40f7-8af7-6be1ca0bb190 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-11T00:14:22.841856Z digest=sha256:af4431bb6e5ba407ff465fc30887bbe9dfd09323505d5b55bdbb1bb3954d0b49

Observation 4832a55c-bc56-4623-bb3e-9b3d17af8757 · outbound

This paper cites Aubin, W.

Deep ReLU networks -- injectivity capacity upper bounds Aubin, W

Reference 7

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source=pdf_text observed=2026-08-11T00:14:22.846363Z digest=sha256:af27f28b3eafd8aa4d3e38d09f7397b752a50865a6e8ba2b471e85fe44c5c13c

Observation 706f032a-14d3-4fd5-b799-619faa76e62c · outbound

This paper cites Baldassi, E.

Deep ReLU networks -- injectivity capacity upper bounds Baldassi, E

Reference 8

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source=pdf_text observed=2026-08-11T00:14:22.850651Z digest=sha256:9fab3d1ddc993808170885fed367c828426844e07bf1cea4f9a835d7e5533b8d

Observation 1cb13657-da94-4529-8b78-904525b1a6b2 · outbound

This paper cites Baldi and S.

Deep ReLU networks -- injectivity capacity upper bounds Baldi and S

Reference 9

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source=pdf_text observed=2026-08-11T00:14:22.854784Z digest=sha256:2c9d0fbb34ffc8870838d4897d959d09ea513f4e85f2ef270fe682ca6a7eb664

Observation 34806907-aea5-4857-81f9-7f891ce6d738 · outbound

This paper cites Barkai, D.

Deep ReLU networks -- injectivity capacity upper bounds Barkai, D

Reference 10

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source=pdf_text observed=2026-08-11T00:14:22.859006Z digest=sha256:af519226262450e25878730fc846b5b433bffa4cdecf7b06386a9a870bebd7f3

Observation 90aff830-0aa6-4f79-b35d-4a9dd51a8994 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 11

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source=pdf_text observed=2026-08-11T00:14:22.862989Z digest=sha256:70e8687b164c3252dd795c7c959592d7fbfc629ea9af00aeae4c65111be2959e

Observation 7e9f4a10-e239-4006-a2f3-1b7d8923bfbb · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-11T00:14:22.866664Z digest=sha256:2b4f4ad7093df37efcc2d1906b4b102b3e64eb14077a8d769b99260b56d97313

Observation fd267886-70b8-401b-a5ed-b4c3f9b3ee9c · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 13

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.870171Z digest=sha256:f3e09ffd377c2164fb9c2c8963957168cbcd1cf0d1bf453c8fba5b6fc931d55b

Observation 9b89e8ee-3f7e-4eef-9dd3-f48a0ecb23e4 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 14

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Observation 35088075-3acc-40b9-ae82-a4a45b8d73e8 · outbound

This paper cites Daskalakis, D.

Deep ReLU networks -- injectivity capacity upper bounds Daskalakis, D

Reference 15

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Observation fbcea610-7aef-488c-92e2-1314470921a7 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-11T00:14:22.880876Z digest=sha256:ff943a009c88532e9533ead00f1aa569f4d8c823e3031c537798ebda3b255b1b

Observation b0adecfe-3748-4e4e-b7c3-8db562b489a6 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 17

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.884538Z digest=sha256:e493a72a3156da2f7c30aad129208ae9036c8f26c29996f5de3b82f245a093b1

Observation 961d5789-2386-4c69-a879-f6271a8a5f04 · outbound

This paper cites Engel, H.

Deep ReLU networks -- injectivity capacity upper bounds Engel, H

Reference 18

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Observation 8dce4c42-c0d2-4d71-a074-070cc1b76dad · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 19

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation af7b5a30-a18c-400c-a7ba-296d15a96aae · outbound

This paper cites Fazlyab, A.

Deep ReLU networks -- injectivity capacity upper bounds Fazlyab, A

Reference 20

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Observation 99ae3fac-9286-445f-a752-317ea8d2221f · outbound

This paper cites Fletcher, Sundeep Rangan, and Philip Schnite r.

Deep ReLU networks -- injectivity capacity upper bounds Fletcher, Sundeep Rangan, and Philip Schnite r

Reference 21

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Observation 6e09a92c-84e1-445d-8ffd-df141e671e1a · outbound

This paper cites Franz, G.

Deep ReLU networks -- injectivity capacity upper bounds Franz, G

Reference 22

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Observation d57eef86-c6b4-471c-9b05-d1709abf46c7 · outbound

This paper cites Furuya, M.

Deep ReLU networks -- injectivity capacity upper bounds Furuya, M

Reference 23

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Observation 08af7588-272e-49f8-aa2a-e4f6d11e206b · outbound

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Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 24

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Observation 3d00cd9b-d626-45c3-a3bd-8e7fb0ba26d8 · outbound

This paper cites Kizildag, Will Perkins, and Cha ngji Xu.

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

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 26

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source=pdf_text observed=2026-08-11T00:14:22.919204Z digest=sha256:34785fd9d3b4c684ac0aadcbf3d1c5db6f9d271d7f256d1f9c096bc3693fc83e

Observation ef2ab17d-1255-4f2c-a3ae-452128158892 · outbound

This paper cites Gardner and B.

Deep ReLU networks -- injectivity capacity upper bounds Gardner and B

Reference 27

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source=pdf_text observed=2026-08-11T00:14:22.923515Z digest=sha256:083838aa1cddd9a4d5930220eb72d04a9ddb49192c420ca83253c97c4a6f9bb8

Observation 5d91abc1-8b40-455a-85f2-d8b4d333ca6d · outbound

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Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 28

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Observation 003f7588-f8f6-4a7a-a7ef-21a3efcb4fb3 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 29

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Observation 84179fe1-7a01-416b-8984-5e42d05ad5e9 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 30

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Observation abc2c280-4c97-460d-af4b-96545e38a383 · outbound

This paper cites Gutfreund and Y.

Deep ReLU networks -- injectivity capacity upper bounds Gutfreund and Y

Reference 31

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source=pdf_text observed=2026-08-11T00:14:22.938691Z digest=sha256:2bd59ff16d644e536acab3218c215458a1feac210bfb3cb7efd8a681f0e1c8e1

Observation d6a0bf0f-1a0a-4540-8d30-276e5e21e201 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 32

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.942401Z digest=sha256:429a9ebb6cf7b736add51717825ff61b3ada33c624eaae6fd4a672ea407c6067

Observation 7c48dd85-90e9-48f7-8f1f-0383ec328be9 · outbound

This paper cites He, C.-K.

Deep ReLU networks -- injectivity capacity upper bounds He, C.-K

Reference 33

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source=pdf_text observed=2026-08-11T00:14:22.946094Z digest=sha256:57c5066a019a9c35d2aaddef80a2b29a1e1ef257b72c58acb6cd77c407c2ca88

Observation 03d94aa3-1a91-4d93-a3f0-bb1f3417e6de · outbound

This paper cites Rate-Optimal Denoising with Deep Neural Networks.

Deep ReLU networks -- injectivity capacity upper bounds Rate-Optimal Denoising with Deep Neural Networks

Reference 34

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local_arxiv, observed 2026-08-11T00:14:23.581699Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.949670Z digest=sha256:fe19a9e9d97f0c0cb499f132e4f0412e41a6e5919cb7e547e58a4dc877fa922c

Observation 1a1b4355-9227-4eae-bcb8-8580a9c073a1 · outbound

This paper cites Hegde, M.

Deep ReLU networks -- injectivity capacity upper bounds Hegde, M

Reference 35

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.953868Z digest=sha256:aaf18a4107490175fb4e43a9bed63e1a28c29b5d1a6455cf5d60b1f49fd60e99

Observation 3f83e9ac-7dab-4dc7-969b-2072a75a13c3 · outbound

This paper cites A Provably Convergent Scheme for Compressive Sensing under Random Generative Priors.

Deep ReLU networks -- injectivity capacity upper bounds A Provably Convergent Scheme for Compressive Sensing under Random Generative Priors

Reference 36

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source=pdf_text observed=2026-08-11T00:14:22.957677Z digest=sha256:3b3c47a30c9b38f32dbeb4fc822c26e7202469277ab5abf876076191ab8902ec

Observation fe84d51d-7546-4b19-8b9c-08af748fce02 · outbound

This paper cites Jordan and A.

Deep ReLU networks -- injectivity capacity upper bounds Jordan and A

Reference 37

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.962229Z digest=sha256:4f9645eab09cac96f3ac4f87153e6b72b0804a74bdd5c8467da6fd35a27356ff

Observation 35f04020-e5f7-40f0-a45d-138766d4c0c3 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 38

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.966402Z digest=sha256:b3830a212f9e55b0e3609a712033a3acbba809916483ec1ef12a6731d2ff49d7

Observation 042f17f6-24e6-411f-9286-54df91b11bd1 · outbound

This paper cites Kothari, A.

Deep ReLU networks -- injectivity capacity upper bounds Kothari, A

Reference 39

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raw_fallback, observed 2026-08-11T00:14:24.001013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.970297Z digest=sha256:3cf930afd0116518c6b4e52ebdfd98673cefdf734a926f741b18e25b918f610a

Observation 8fa0e912-e8c0-4155-9bea-79aaf7fbc421 · outbound

This paper cites Krauth and M.

Deep ReLU networks -- injectivity capacity upper bounds Krauth and M

Reference 40

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raw_fallback, observed 2026-08-11T00:14:23.985470Z

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source=pdf_text observed=2026-08-11T00:14:22.974034Z digest=sha256:c07f3136dcdde7a281df0a77dac451a352979f478b3931dedd22fb20e83ca9dc

Observation 2e9fdef5-db79-40e2-841a-9d2fd758c731 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 41

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.977753Z digest=sha256:b1c5fe03dc85a8a37ebccf470e209d14b585a8e65c27c49766b633f509a19af1

Observation 7a39be40-7c36-4fe6-8e14-4961e16d527f · outbound

This paper cites A Random Matrix Approach to Neural Networks.

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.

source=pdf_text observed=2026-08-11T00:14:22.981694Z digest=sha256:b4d6f2d073b4da7872a46afee4551a334845893ebb851ca7f3b2b7f4ada51417

Observation 739af28b-ce7c-4e09-b9d6-794e5867bd62 · outbound

This paper cites Injectivity of ReLU networks: perspectives from statistical physics.

Deep ReLU networks -- injectivity capacity upper bounds Injectivity of ReLU networks: perspectives from statistical physics

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-11T00:14:23.532940Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.985685Z digest=sha256:d22bed24655a9bb39603c1b0461b3bbeae894b2bf26d60b26606f7664b5411b5

Observation 606e3889-e7ce-427d-8029-c26a68a105f7 · outbound

This paper cites Mardani, Q.

Deep ReLU networks -- injectivity capacity upper bounds Mardani, Q

Reference 44

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verified fuzzy
raw_fallback, observed 2026-08-11T00:14:23.957251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:22.989404Z digest=sha256:8b83a35f417aae32a1a35721ee2959510eb89e1c7d670fdada6868de14b96396

Observation 89578b60-d964-489e-b98f-ba935c637d36 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 45

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source=pdf_text observed=2026-08-11T00:14:22.993553Z digest=sha256:c2f2cd9d40aa620422dde93d937b58d1e67c82deababc872beeeddbce3e4993a

Observation 46deb051-3caa-4030-b7b6-b43682b39601 · outbound

This paper cites Pennington and P.

Deep ReLU networks -- injectivity capacity upper bounds Pennington and P

Reference 46

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raw_fallback, observed 2026-08-11T00:14:23.929871Z

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source=pdf_text observed=2026-08-11T00:14:22.997248Z digest=sha256:74e7f16d97e71b5eb318c54ee405ccce3d2b0cbf4a6e6ae09bed5fa422401887

Observation 2cc6cc82-fb2c-405f-8097-d101464f9485 · outbound

This paper cites Perkins and C.

Deep ReLU networks -- injectivity capacity upper bounds Perkins and C

Reference 47

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:14:23.001293Z digest=sha256:ca5756d75e24df5f309c88e7b38d16352fb0046bd46e41ff52f673b53a811507

Observation 1da87fcd-50e3-4fcd-bf97-5d13f6658fdc · outbound

This paper cites Puthawala, K.

Deep ReLU networks -- injectivity capacity upper bounds Puthawala, K

Reference 48

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source=pdf_text observed=2026-08-11T00:14:23.004926Z digest=sha256:a6792a948905747ee24bc37b1059d988e89931d1743fa0dc8f350849662dd65c

Observation 9ba0da82-0a44-43ca-9c5f-f64a3e13006e · outbound

This paper cites Puthawala, M.

Deep ReLU networks -- injectivity capacity upper bounds Puthawala, M

Reference 49

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raw_fallback, observed 2026-08-11T00:14:23.893652Z

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source=pdf_text observed=2026-08-11T00:14:23.008650Z digest=sha256:ae97d643c3d20149ef0c1a6aca070804da8fc082bbaef0a75f4a99316609edd3

Observation bdb1fb6f-9dd2-4516-9a12-f1ab70bbfd27 · outbound

This paper cites Rangan, P.

Deep ReLU networks -- injectivity capacity upper bounds Rangan, P

Reference 50

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raw_fallback, observed 2026-08-11T00:14:23.880382Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.012326Z digest=sha256:d8a08454fcda6fababb644a724c7bdb8a735029206355294d4332df91a857514

Observation 47191eb8-7b28-49a0-ad5f-36e4f119da91 · outbound

This paper cites Romano, M.

Deep ReLU networks -- injectivity capacity upper bounds Romano, M

Reference 51

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raw_fallback, observed 2026-08-11T00:14:23.867230Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T00:14:23.016188Z digest=sha256:a44bf051200e0b2f16fc07f56993eeb3ea5e68b2465549ac01eb6520af56c46a

Observation a12ca419-e329-45c4-8c10-06781e078871 · outbound

This paper cites Leigh Ross and J.

Deep ReLU networks -- injectivity capacity upper bounds Leigh Ross and J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:14:23.853640Z

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source=pdf_text observed=2026-08-11T00:14:23.019903Z digest=sha256:e489448db01527a5050fa064cc42bc03cc3644a31fa796823b5c7fbfa6c0ec68

Observation 765f2647-aaf5-47c0-8b00-6c2e322f40a6 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 53

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.023507Z digest=sha256:d4d0ed2376ce6ca714b629958eedd4cc70da1113a5b3c2d150607e85d8404a70

Observation 02eaf810-08c4-4a50-8ffc-e4ffe3f53080 · outbound

This paper cites Schneider and W.

Deep ReLU networks -- injectivity capacity upper bounds Schneider and W

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T00:14:23.825243Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.027087Z digest=sha256:2c0bd3630ad2cb393aef731d6f1b44b6e5755ff6925764299e24b10900dbfef2

Observation 8a0b24b0-8156-4061-88c5-824d33914c51 · outbound

This paper cites Schniter, S.

Deep ReLU networks -- injectivity capacity upper bounds Schniter, S

Reference 55

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raw_fallback, observed 2026-08-11T00:14:23.811901Z

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source=pdf_text observed=2026-08-11T00:14:23.030549Z digest=sha256:78178948629caf2bd881b15d9fe6666634bd51546df25398cb634acc25309a41

Observation 41ea093f-3b57-4452-87be-17e9615efa26 · outbound

This paper cites Shah and C.

Deep ReLU networks -- injectivity capacity upper bounds Shah and C

Reference 56

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raw_fallback, observed 2026-08-11T00:14:23.798476Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.034545Z digest=sha256:848669db3d529c06eb71e7a1170bdc5605d4e30d267e20fc6b5c30dbea5592df

Observation d9b11198-e1bd-45e0-a3cc-78d365bb4606 · outbound

This paper cites Shcherbina and B.

Deep ReLU networks -- injectivity capacity upper bounds Shcherbina and B

Reference 57

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raw_fallback, observed 2026-08-11T00:14:23.785252Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.038045Z digest=sha256:b16cb4ff7081be422b9fa4572f6d35026144e6e7d1468b93ba39efbaf90dcea2

Observation 76ac3b10-fabf-46ca-bff1-059b5499265a · outbound

This paper cites Shcherbina and B.

Deep ReLU networks -- injectivity capacity upper bounds Shcherbina and B

Reference 58

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source=pdf_text observed=2026-08-11T00:14:23.041368Z digest=sha256:505514aa9a88e528d944a506912fc2626740763ba96f2be1a059502e2bdbc21c

Observation 502dd818-1f63-4f29-9269-48fd4f771fd7 · outbound

This paper cites Block-length dependent thresholds in block-sparse compressed sensing.

Deep ReLU networks -- injectivity capacity upper bounds Block-length dependent thresholds in block-sparse compressed sensing

Reference 59

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local_arxiv, observed 2026-08-11T00:14:23.510271Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.045054Z digest=sha256:31ef3895f25388f6ffc346b1cf9fc086373c18f1dc4a158aa0d62d041506fd57

Observation 9f5b1ad6-365c-4664-860b-c634d614883f · outbound

This paper cites Various thresholds for $\ell_1$-optimization in compressed sensing.

Deep ReLU networks -- injectivity capacity upper bounds Various thresholds for $\ell_1$-optimization in compressed sensing

Reference 60

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source=pdf_text observed=2026-08-11T00:14:23.049149Z digest=sha256:a07e2ea9052175db21f4230da61304e09af5368c6f39c8617e15d2f413633207

Observation 4977795d-31d2-4aa9-8d56-4b0ae90171d8 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 61

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source=pdf_text observed=2026-08-11T00:14:23.053315Z digest=sha256:df9f0ebc9a1b1b8d467e6afaca316bad3a3c008d8fd1bb23d0943c0868537cfe

Observation d6785f24-a2f6-449e-beac-ec8e2290c60d · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 62

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.056818Z digest=sha256:4bdf19585d5d525a6c16ad3e344c2e6b42bcc8ba599a9b355574ce262d0d49c2

Observation c8cd031b-28bc-4979-9a6a-91e73d98d1b1 · outbound

This paper cites Another look at the Gardner problem.

Deep ReLU networks -- injectivity capacity upper bounds Another look at the Gardner problem

Reference 63

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source=pdf_text observed=2026-08-11T00:14:23.060501Z digest=sha256:be612da361168fbe56e66df5a09ecd7ec6b9a76b7501be522be5cfccdb0c6583

Observation 04ca195f-ad4f-4099-a478-0c7ba24d793e · outbound

This paper cites On the Computing of the Minimum Distance of Linear Block Codes by Heuristic Methods.

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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source=pdf_text observed=2026-08-11T00:14:23.064423Z digest=sha256:89c09d25d9da339b2a2cfa165cae4d44dcd5e26d4fb83b70572f8d38558359d8

Observation dd81d6d2-602a-4995-922c-8e07d1b13b59 · outbound

This paper cites Lifting $\ell_1$-optimization strong and sectional thresholds.

Deep ReLU networks -- injectivity capacity upper bounds Lifting $\ell_1$-optimization strong and sectional thresholds

Reference 65

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local_arxiv, observed 2026-08-11T00:14:23.447042Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.068898Z digest=sha256:cc7223bd7167b0f0592d6637848b26972c382eb5021eac93882ac185917110fe

Observation 2eeaa5c3-7d97-461c-8dc1-e44a701c55a5 · outbound

This paper cites Lifting/lowering Hopfield models ground state energies.

Deep ReLU networks -- injectivity capacity upper bounds Lifting/lowering Hopfield models ground state energies

Reference 66

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source=pdf_text observed=2026-08-11T00:14:23.072639Z digest=sha256:8ff93f6339bc8ebd4b68ca4017894e7a3ba99d20f7048d391dbd7acb42fc0b23

Observation 5028a117-9780-4634-bfa0-e416b04f80f2 · outbound

This paper cites Meshes that trap random subspaces.

Deep ReLU networks -- injectivity capacity upper bounds Meshes that trap random subspaces

Reference 67

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source=pdf_text observed=2026-08-11T00:14:23.076730Z digest=sha256:7251066b8a585a2e0aeb86bd92eee080399cfc837c621bdbb275f21fd21b2796

Observation cbfbb468-2aef-4287-83c5-b35204578b0b · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 68

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source=pdf_text observed=2026-08-11T00:14:23.080573Z digest=sha256:d8684d0cbcd2c04652135a73251ee634e1b46edf0aef85b3cdd4294f8ca698cd

Observation bc93a770-2cb1-4ffa-b4e6-2f589b3572c7 · outbound

This paper cites Regularly random duality.

Deep ReLU networks -- injectivity capacity upper bounds Regularly random duality

Reference 69

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:14:23.084277Z digest=sha256:d5b68547af3fb3dca07230adff347b8674aa2f1ebf9e3917e7b2c5209a5a272c

Observation 76b04fa7-f219-457d-8a95-8501cda66db9 · outbound

This paper cites Spherical perceptron as a storage memory with limited errors.

Deep ReLU networks -- injectivity capacity upper bounds Spherical perceptron as a storage memory with limited errors

Reference 70

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local_arxiv, observed 2026-08-11T00:14:23.383232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.088401Z digest=sha256:e4130798a4a3ced44391bf554fd10d62110c4be1dbb9d952096aa32750996591

Observation fcecc65b-acc5-4245-a1d9-177734881da0 · outbound

This paper cites Fully bilinear generic and lifted random processes comparisons.

Deep ReLU networks -- injectivity capacity upper bounds Fully bilinear generic and lifted random processes comparisons

Reference 71

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source=pdf_text observed=2026-08-11T00:14:23.092225Z digest=sha256:cc9c85384d067c839a1c79df632a02f1aafd670d87e30440a28785059fdcb497

Observation 7c556cde-b880-41a5-a0fc-e87e01c7ae12 · outbound

This paper cites Generic and lifted probabilistic comparisons -- max replaces minmax.

Deep ReLU networks -- injectivity capacity upper bounds Generic and lifted probabilistic comparisons -- max replaces minmax

Reference 72

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source=pdf_text observed=2026-08-11T00:14:23.096050Z digest=sha256:87ff3ad6030eafa57a9566b947402c5698592136ae996b727768dcdb52277974

Observation ba80d0fb-e0b4-4136-8228-999f1b2be320 · outbound

This paper cites Bilinearly indexed random processes -- \emph{stationarization} of fully lifted interpolation.

Deep ReLU networks -- injectivity capacity upper bounds Bilinearly indexed random processes -- \emph{stationarization} of fully lifted interpolation

Reference 73

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no resolver link, observed 2026-08-11T00:14:23.100381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:14:23.100381Z digest=sha256:d604e7a1748c83cff6cd95f3a2289a9a69f70d30310afcd54b13e330d8359881

Observation 6c2207c8-6af6-47ae-a1bc-1f75cb9b289a · outbound

This paper cites Binary perceptrons capacity via fully lifted random duality theory.

Deep ReLU networks -- injectivity capacity upper bounds Binary perceptrons capacity via fully lifted random duality theory

Reference 74

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source=pdf_text observed=2026-08-11T00:14:23.104558Z digest=sha256:94e3b8fba13feec9df252ff11e6e1a719cb4c50c0188fd0ec2f21cf68ca3025f

Observation cb6fc16e-de48-4c41-baad-aedee293e2c1 · outbound

This paper cites Capacity of the treelike sign perceptrons neural networks with one hidden layer -- RDT based upper bounds.

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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verified exact
local_arxiv, observed 2026-08-11T00:14:23.305071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.108993Z digest=sha256:c23002e94c5a8e8ed0e44c1ad61a28e81bdcd4bb93ec1f44f223f734d9ea2705

Observation 3eeb2456-cd2c-48a6-b52d-382a3de4075c · outbound

This paper cites Fl RDT based ultimate lowering of the negative spherical perceptron capacity.

Deep ReLU networks -- injectivity capacity upper bounds Fl RDT based ultimate lowering of the negative spherical perceptron capacity

Reference 76

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no resolver link, observed 2026-08-11T00:14:23.113282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:14:23.113282Z digest=sha256:e58aede5a0943ead0086ab51f97762b69d7fc15bd62b336959eab546a2780bce

Observation 1ca4c658-effd-46bd-9e20-47a074515e07 · outbound

This paper cites Fully lifted interpolating comparisons of bilinearly indexed random processes.

Deep ReLU networks -- injectivity capacity upper bounds Fully lifted interpolating comparisons of bilinearly indexed random processes

Reference 77

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no resolver link, observed 2026-08-11T00:14:23.117187Z

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source=pdf_text observed=2026-08-11T00:14:23.117187Z digest=sha256:9a4efa88190566bc107262b042639c1b3acd9200a01bc64771d18d32c972ce33

Observation 97720d8e-45c7-4a1d-b722-f505694a870b · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 78

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:14:23.121319Z digest=sha256:2e5d8cbf0e4ee862de447d9040279cae49c765dfaa9cdeacfd7028b34526931f

Observation 1e263452-5765-402a-9850-0cfea534e43a · outbound

This paper cites \emph{Lifted} RDT based capacity analysis of the 1-hidden layer treelike \emph{sign} perceptrons neural networks.

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

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 80

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 13d75a76-1b92-407c-b4b5-21aa8eba4455 · outbound

This paper cites Fixed width treelike neural networks capacity analysis -- generic activations.

Deep ReLU networks -- injectivity capacity upper bounds Fixed width treelike neural networks capacity analysis -- generic activations

Reference 81

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local_arxiv, observed 2026-08-11T00:14:23.221139Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.138004Z digest=sha256:5c28c6e6f560a0fc13e06bf7712d663cacf0467465015506ebcfeefb2ffeed29

Observation 6aac608c-7fce-4455-81b0-16ec9288806a · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 82

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.142576Z digest=sha256:95c4cb02f839877de16f003ab0e44f5a01bc705aab88973e5b4edf87c31e412d

Observation 15176c29-a009-4883-b4d6-10fb15bbd0f1 · outbound

This paper cites Talagrand.

Deep ReLU networks -- injectivity capacity upper bounds Talagrand

Reference 83

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source=pdf_text observed=2026-08-11T00:14:23.146567Z digest=sha256:bef9f3cecc1347dfc1d6d856f1890cc9bb90ce5ec3f480455a91ee43091ed0d9

Observation 020eb0a4-72a8-4556-8083-a78d99b04f56 · outbound

This paper cites Talagrand.

Deep ReLU networks -- injectivity capacity upper bounds Talagrand

Reference 84

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source=pdf_text observed=2026-08-11T00:14:23.150445Z digest=sha256:7330d45129f2adb98fd820ae5ea487e2db4a32f3cca7e77e5bb8bc15a7852f7a

Observation 58a7d077-487e-4bef-bea8-6525752ccd34 · outbound

This paper cites Venkatesh.

Deep ReLU networks -- injectivity capacity upper bounds Venkatesh

Reference 85

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.154588Z digest=sha256:0c84b5c2b54c387edc5fcbf72b5905fb100811ddab005b8b869400ac00e9e588

Observation 4964d67a-dab7-4b60-8500-010ecd67be42 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 86

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source=pdf_text observed=2026-08-11T00:14:23.159219Z digest=sha256:a4be43f46194439565645866e89dbb6b11ccc87c11c05ffc2872260c4091b087

Observation 2b63a589-d62b-4d62-bdff-0af57758462f · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 87

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source=pdf_text observed=2026-08-11T00:14:23.163736Z digest=sha256:8290194c57d65183d9b00e7d9284e8b4576367c7115c20f997896fdec418ad36

Observation b7cd6013-4acf-4c31-8607-9dcd5b307e3d · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 88

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.168473Z digest=sha256:fe7c3b93bc419586ed2e9645a41a715adac8a2d3aae2b8afae63286e08a71b22

Observation 7a7574da-dcd7-4e2f-bd0f-e571dbb43481 · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 89

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.172523Z digest=sha256:de1a459cbe25a78470b6c99a905c3a6b2f776f30a523dc65f08c3da7d332cf16

Observation e8aafc14-e96a-4650-b247-e226229df38b · outbound

This paper cites an unresolved cited work.

Deep ReLU networks -- injectivity capacity upper bounds Unresolved cited work

Reference 90

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.176737Z digest=sha256:80ec18a394f3a8187415e48ff8f934470b4c13d75fbc1594c851a706cd41c571

Observation db152ac8-277d-4418-8bee-d50af53e9dc3 · outbound

This paper cites Exact capacity of the \emph{wide} hidden layer treelike neural networks with generic activations.

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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verified exact
local_arxiv, observed 2026-08-11T00:14:23.241493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T00:14:23.133190Z digest=sha256:ef75a4066a2de97e32ff228a110ad72e40520940e0481c547f69751a2d971b39

Pith citing papers

Observation f3bb225d-657b-4b35-b0d6-970e9e36447b · inbound

Phase transition of \emph{descending} phase retrieval algorithms cites this paper.

Phase transition of \emph{descending} phase retrieval algorithms Deep ReLU networks -- injectivity capacity upper bounds

Reference 115

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local_arxiv, observed 2026-08-15T18:57:39.901650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:57:39.715696Z digest=sha256:3df9a6a01022ba33db747bad93257a70b508a0841fcaddd96e8b879c49560b7a

Observation 8c03c6bd-8b6c-4482-b46c-088ac55146d8 · inbound

Optimal spectral initializers impact on phase retrieval phase transitions -- an RDT view cites this paper.

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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source=pdf_text observed=2026-08-15T18:58:26.192992Z digest=sha256:df8694d5c0ddc8b491cc38b7a32a4108b53c452f90f60ea87dedf8673e6b239c

Observation 4ee54b54-8100-4ca2-92fe-9f3b28b8008a · inbound

Phase retrieval with rank $d$ measurements -- \emph{descending} algorithms phase transitions cites this paper.

Phase retrieval with rank $d$ measurements -- \emph{descending} algorithms phase transitions Deep ReLU networks -- injectivity capacity upper bounds

Reference 115

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source=pdf_text observed=2026-08-15T18:59:20.146584Z digest=sha256:2e01a12244f1c63c0259a1368e9bf09327b8375bd24b2e897654041dbc0f9bad