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Paper Citation Record · LEDGER

A Quotient Homology Theory of Representation in Neural Networks

As of 19 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 1 inbound Pith citation observation for arXiv:2502.01360.

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

pith.paper-citation-record.v1
2502.01360 v4

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T15:39:50.498090Z

measured 54 of 54 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T17:20:29.589792Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

53 of 53 outbound references displayed

  • verified exact5
  • verified fuzzy11
  • unresolved37
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 09558e06-fe77-42a9-a28f-9c7c68b57c98 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.414374Z

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=arxiv_source observed=2026-08-09T15:39:50.228940Z digest=sha256:980ca6e060df5684a7efd7cd3608edb09bc8b96cee975e7498160527161cadd2

Observation 229d499b-7c8d-41cd-8373-cf900cdab84b · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.399496Z

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=arxiv_source observed=2026-08-09T15:39:50.234680Z digest=sha256:6171952cd2097862989558f33f94787506ed0606687d164daf33382f4c534777

Observation a6a72682-3917-4a4c-8e67-0ba92c5b30ad · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.384518Z

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=arxiv_source observed=2026-08-09T15:39:50.242766Z digest=sha256:53cebb45c1096f99b2d3d839f6d6b5549efba5b867a8d720bcac7edf87af46b8

Observation e30a8bff-66fb-4e65-b7f4-f84d5556d136 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.369508Z

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=arxiv_source observed=2026-08-09T15:39:50.248968Z digest=sha256:b31db97ff30b9507dff0dfcafa31d04a97ee71836aeed4e5495e92d93871d426

Observation 1d6dbf69-c109-46d0-b991-e8c89afbff3c · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.355545Z

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=arxiv_source observed=2026-08-09T15:39:50.253849Z digest=sha256:bf6a890c02c45190413bbe56f8d9f9eb2409ac03d7167e70abbcd3c5512cb0df

Observation 1d15e438-5a3d-4438-b579-36d30c0ebd3d · outbound

This paper cites A rank decomposition for the topological classification of neural representations.

A Quotient Homology Theory of Representation in Neural Networks A rank decomposition for the topological classification of neural representations

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-09T15:39:50.724445Z

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=arxiv_source observed=2026-08-09T15:39:50.259450Z digest=sha256:5dd4e557b867415c7ad2f3eeb69512a49097e4d79951a387881eb91af34b6254

Observation 00c3b544-2904-474a-9f9c-0781a75dd323 · outbound

This paper cites J., and Simsekli, U.

A Quotient Homology Theory of Representation in Neural Networks J., and Simsekli, U

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-09T15:39:50.267034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T15:39:50.267034Z digest=sha256:1e12e515213998331c9eab1288a9c8bea59149168df94fe6933051ff779775a9

Observation 70b771d8-c356-449c-ae72-b0e3b66b6504 · outbound

This paper cites and Brun, M.

A Quotient Homology Theory of Representation in Neural Networks and Brun, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:39:51.330636Z

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=arxiv_source observed=2026-08-09T15:39:50.272073Z digest=sha256:ddf4e4af8abe8aace78134ac6ca1754ce6895ca1b27aa5aeec63e3560cbebfa9

Observation 5bcd1bed-9bdc-42a0-97db-1035ae93f955 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.315717Z

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=arxiv_source observed=2026-08-09T15:39:50.278186Z digest=sha256:02101f7b44f9708cf952ccb5654719b5c951a1581d2e6bf02100c9e7e7f302c9

Observation 9f124e88-41e0-4b9e-b681-9719532af672 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.300810Z

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=arxiv_source observed=2026-08-09T15:39:50.283006Z digest=sha256:cef78af8bf12ccb2afd2024c293cc1b64518bde51e7bf6a60057919d8ae417a1

Observation 47bfc81a-a491-43cd-8d64-be8b04e0b02e · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.285289Z

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=arxiv_source observed=2026-08-09T15:39:50.288337Z digest=sha256:bb8904b5ff8fa42b3e3487606e1d6907f8439f24825ee1ebd4f5093416967073

Observation c74a65c1-eede-4453-88d6-1d632ddf07f3 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.270590Z

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=arxiv_source observed=2026-08-09T15:39:50.294047Z digest=sha256:602d0c756c39f205e8173e456f2ea34038ae24daaf102b8a44608192f6040cb6

Observation 915234f8-b569-44bb-8f25-80d10b10d7ef · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.255682Z

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=arxiv_source observed=2026-08-09T15:39:50.298985Z digest=sha256:a1743d2042631c224fa77bcdcad0ac956deae53fcbebd938f4e23c99e3dc8be8

Observation 1d795ac0-98d9-411e-a3cf-d83fcd43ecd9 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.238620Z

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=arxiv_source observed=2026-08-09T15:39:50.303679Z digest=sha256:f9d71a5dbcb22ed742c20441acc4a0e3b9f4b92093429c14976b425f7189aa4e

Observation a629f621-09e8-4c0a-8add-e8b81fc149d6 · outbound

This paper cites Deep ReLU Networks Have Surprisingly Simple Polytopes.

A Quotient Homology Theory of Representation in Neural Networks Deep ReLU Networks Have Surprisingly Simple Polytopes

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-09T15:39:50.309819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T15:39:50.309819Z digest=sha256:97b134a48de7e4fc09c1cbbc91c6164a544e6fdd0d2cf41d413213209a4d7861

Observation 16012c02-cb53-4eee-9388-f8c59ed39d7d · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.221557Z

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=arxiv_source observed=2026-08-09T15:39:50.315050Z digest=sha256:c98a0a3a633e92b92df29e75a4829ceb34d6485a3e8428e7bfae58a61a9c61e9

Observation dc2206a6-08c0-4efd-81d6-1a5c85274107 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.205435Z

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=arxiv_source observed=2026-08-09T15:39:50.320567Z digest=sha256:6768181fb82f56a0d8b1ae6960f97f973d8b47e74a52d516c55046b7f361e63b

Observation 61c8b981-947a-4b45-8ae7-c82109380d60 · outbound

This paper cites On Characterizing the Capacity of Neural Networks using Algebraic Topology.

A Quotient Homology Theory of Representation in Neural Networks On Characterizing the Capacity of Neural Networks using Algebraic Topology

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-09T15:39:50.325085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T15:39:50.325085Z digest=sha256:e97376f3ac8271652d973bfdf7949afccfe1a0ddfd0eef66c1e32c6d591dd450

Observation cc40d077-7f07-4784-839e-7e57e2a0b233 · outbound

This paper cites Persistent Homology Captures the Generalization of Neural Networks Without A Validation Set.

A Quotient Homology Theory of Representation in Neural Networks Persistent Homology Captures the Generalization of Neural Networks Without A Validation Set

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-09T15:39:50.668325Z

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=arxiv_source observed=2026-08-09T15:39:50.330063Z digest=sha256:82388fdecf04d38b287dbc8e40e6bd5031730d3a06865a932a43ea39a9b4c20a

Observation c17c5ad7-eb96-4ffe-a565-3afd4e26569b · outbound

This paper cites and Rolnick, D.

A Quotient Homology Theory of Representation in Neural Networks and Rolnick, D

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:39:51.189848Z

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=arxiv_source observed=2026-08-09T15:39:50.335915Z digest=sha256:851ec380c8aa52e8146a0c98befd3e0ba4450897ff280749148b55a361a05efc

Observation 9a644960-35b8-42f3-925d-e929049fda80 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.174021Z

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=arxiv_source observed=2026-08-09T15:39:50.340751Z digest=sha256:207fde19adfb28f1e0ca6514e50b4a742fa235af5c6079a53025a0d7e410e1ca

Observation a7f331ad-ad42-411d-9282-a32429cdc292 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.157467Z

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=arxiv_source observed=2026-08-09T15:39:50.345285Z digest=sha256:e4856ef17ea0fa785ebe3b6f806a4012e163bd16f529d39d0d6c46bb46a01c6d

Observation 2b6ef33d-99c0-4a7a-9d0e-080a8b401926 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.142711Z

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=arxiv_source observed=2026-08-09T15:39:50.349909Z digest=sha256:4a95ccd3f44b71900fb2b6e59cfb174574ced27a03bd5916e077acb878764e03

Observation e62a500d-f540-477b-9203-28a4d4e3de59 · outbound

This paper cites and Hall, J.

A Quotient Homology Theory of Representation in Neural Networks and Hall, J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:39:51.125392Z

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=arxiv_source observed=2026-08-09T15:39:50.355380Z digest=sha256:cedb40973060b17bd30dcefe56e039963e4c5892a8850bd249f9f8fd7b140698

Observation 208ae8fa-fe7e-447e-b767-6d8fa51f5764 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.110088Z

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=arxiv_source observed=2026-08-09T15:39:50.359673Z digest=sha256:8a36640599d16f69b88408d1c17542a14245ad39e558bdd175dfd74a7b2e1386

Observation d75ed546-5fc4-4f0b-900a-ad71cbb250ea · outbound

This paper cites Representation of Polytopes as Polynomial Zonotopes.

A Quotient Homology Theory of Representation in Neural Networks Representation of Polytopes as Polynomial Zonotopes

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-09T15:39:50.645839Z

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=arxiv_source observed=2026-08-09T15:39:50.364060Z digest=sha256:f1bff6d6af70e634b202a56fc2f3aada0fa4c709f002b909a09fcc70f9a1e293

Observation fb7d37eb-a791-47ba-a1cc-e30dfac0a9d7 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.094803Z

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=arxiv_source observed=2026-08-09T15:39:50.369146Z digest=sha256:30a0c61fc85eaf90142401286b92b2be370303f4f5a13c55adfb95b5ce1f6b98

Observation 05ba3359-1eb9-4915-8d6a-476495784dc5 · outbound

This paper cites M., Peterson, C., and Kirby, M.

A Quotient Homology Theory of Representation in Neural Networks M., Peterson, C., and Kirby, M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:39:51.078498Z

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=arxiv_source observed=2026-08-09T15:39:50.374865Z digest=sha256:ee779395f648497a24418ef009079b7b1278ba8e86284b1fc70b34dd4b33f0a2

Observation 2a667f61-647a-4680-80bb-8a2ed3fc7049 · outbound

This paper cites Algorithmic Determination of the Combinatorial Structure of the Linear Regions of ReLU Neural Networks.

A Quotient Homology Theory of Representation in Neural Networks Algorithmic Determination of the Combinatorial Structure of the Linear Regions of ReLU Neural Networks

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-09T15:39:50.379475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T15:39:50.379475Z digest=sha256:9a0d0e4a75c184bd590924d4efdc2fa57789d070889ddb3e4a07e035218310cf

Observation acdee7c3-5c98-4c0e-9f97-a81416f6f170 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.062232Z

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=arxiv_source observed=2026-08-09T15:39:50.384563Z digest=sha256:f88da707d4ba05c8e38ad3c74371bcbdc4892dad793cf84aa0fc2f4ee2d597de

Observation 8b3c63a2-de15-4294-9191-8e3fb5776bbf · outbound

This paper cites F., Pascanu, R., Cho, K., and Bengio, Y.

A Quotient Homology Theory of Representation in Neural Networks F., Pascanu, R., Cho, K., and Bengio, Y

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:39:51.047156Z

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=arxiv_source observed=2026-08-09T15:39:50.389305Z digest=sha256:2c68f36ef1df829d5fbaf7ebb9718fc5671f0b538ac4ea36a30fb25ffa717937

Observation 0cea910c-1b75-4abe-b570-91ec3af87704 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.029750Z

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=arxiv_source observed=2026-08-09T15:39:50.394036Z digest=sha256:fae3cf5e4474d38a2a393f1e02fcb87897e701f5c9fd5b5389dd40c35d1867d1

Observation 0cb5f7a4-088d-452d-a73a-2aacf6186b36 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:51.013435Z

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=arxiv_source observed=2026-08-09T15:39:50.399642Z digest=sha256:90b5fd1f7d2f2020a320061d0f1632853f12880e85b87d31789fb8a17e3d45be

Observation 3b48a067-0846-4cc8-bdc0-db92bcbf6212 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:50.996433Z

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=arxiv_source observed=2026-08-09T15:39:50.404153Z digest=sha256:497e3605ddaef54f1ed5d3533d5d5cc390e522addc2e907f17e42a28d3894813

Observation 4b544419-48b0-4243-b6cd-1a6c6ba557bc · outbound

This paper cites M., Carlsson, G.

A Quotient Homology Theory of Representation in Neural Networks M., Carlsson, G

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:39:50.978676Z

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=arxiv_source observed=2026-08-09T15:39:50.408784Z digest=sha256:e216ffed72583e58d5929cd2094ae791b61cc0bb93631398b3bc9e4bd82d722a

Observation 7790271d-dc46-4a36-9a0d-c27eba0be6bb · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:50.962896Z

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=arxiv_source observed=2026-08-09T15:39:50.413762Z digest=sha256:6776c7badd5299a4dbdfe938ff1528a770d9caa17e8d75f3feef26802fdb7260

Observation 961769cc-bb88-4019-ad76-0430a9859812 · outbound

This paper cites On the number of response regions of deep feed forward networks with piece-wise linear activations.

A Quotient Homology Theory of Representation in Neural Networks On the number of response regions of deep feed forward networks with piece-wise linear activations

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-09T15:39:50.419345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation adaef84b-a328-474d-b407-f26beac419db · outbound

This paper cites and Leit \ a o, A.

A Quotient Homology Theory of Representation in Neural Networks and Leit \ a o, A

Reference 38

Resolution
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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.

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Observation 954d35db-0c43-4601-b8bb-6e02afd09fb1 · outbound

This paper cites T., Goldberg, K., and Kragic, D.

A Quotient Homology Theory of Representation in Neural Networks T., Goldberg, K., and Kragic, D

Reference 39

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation 8e8d21c1-0e82-4645-85fe-b1f797a6864c · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 40

Resolution
unresolved
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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.

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Observation 1c9d6310-ea03-42b4-bbf5-c61ac78bb065 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 41

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6cff8dc6-d361-4df2-9362-21b098b5b1ba · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 42

Resolution
unresolved
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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.

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Observation 77f6d260-6ab2-4d96-8b70-e157a5984b1a · outbound

This paper cites Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology.

A Quotient Homology Theory of Representation in Neural Networks Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-09T15:39:50.447896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T15:39:50.447896Z digest=sha256:4327c453196f4bc3391c1e018079a7cd431f03067f86eab5afb6a6510c1fa3c7

Observation 3354074d-d6fe-4ec3-8dab-3870da0adf74 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 44

Resolution
unresolved
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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.

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Observation 4fb99450-e9d0-4478-a515-8865523ebffe · outbound

This paper cites M-Representation of Polytopes.

A Quotient Homology Theory of Representation in Neural Networks M-Representation of Polytopes

Reference 45

Resolution
verified exact
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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.

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Observation b2795a02-9e84-4a58-8502-aef1939414b7 · outbound

This paper cites E., et al.

A Quotient Homology Theory of Representation in Neural Networks E., et al

Reference 46

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation d6bf981d-723b-4648-a07b-985a39034d3d · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:50.838435Z

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=arxiv_source observed=2026-08-09T15:39:50.468002Z digest=sha256:57695c5cfdb25e269fec9fce4736935bee78ace3d78c094b491b517ef96dfe56

Observation 2f23f9ad-d5c2-4043-a320-ccae31f48db3 · outbound

This paper cites F., and Otter, N.

A Quotient Homology Theory of Representation in Neural Networks F., and Otter, N

Reference 48

Resolution
verified fuzzy
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Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-09T15:39:50.472736Z digest=sha256:3c187e99e794c249b82a4cd72fc956826c7986fcfc69f2bac6deb12eada80a33

Observation 56190e6e-17e6-42dd-8e5c-a8fd0c41cfa7 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:50.796642Z

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.

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Observation f6743410-7c83-4c76-9842-8b3613e0f156 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:50.778920Z

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.

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Observation 42f4dbec-a80a-4b83-a996-fc7636a997e0 · outbound

This paper cites an unresolved cited work.

A Quotient Homology Theory of Representation in Neural Networks Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:39:50.760178Z

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=arxiv_source observed=2026-08-09T15:39:50.486446Z digest=sha256:0dff3a89f45be934edba95d75ed1b0b1428ad7883353ed7abc7e3ea33c91458d

Observation f7f603bd-1630-4342-b6e4-5f393e080e8e · outbound

This paper cites Empirical Studies on the Properties of Linear Regions in Deep Neural Networks.

A Quotient Homology Theory of Representation in Neural Networks Empirical Studies on the Properties of Linear Regions in Deep Neural Networks

Reference 52

Resolution
verified exact
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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=arxiv_source observed=2026-08-09T15:39:50.491546Z digest=sha256:2d9f96ca1cfeb6b5942203760be404280c1ea5f18204d058b5e68b564372c006

Observation d494d23c-e47e-4b06-9a91-684b77c60c2a · outbound

This paper cites and Carlsson, G.

A Quotient Homology Theory of Representation in Neural Networks and Carlsson, G

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:39:50.742465Z

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=arxiv_source observed=2026-08-09T15:39:50.498090Z digest=sha256:ecd6f049da101709cb43a3304fbb86b4de5f060c4f9919496dccec3c3b826415

Pith citing papers

Observation fb3ed3ea-0a94-46f9-8f60-2bdd7f4c1015 · inbound

Copositive Matrices with Ordered Off-Diagonal Entries cites this paper.

Copositive Matrices with Ordered Off-Diagonal Entries A Quotient Homology Theory of Representation in Neural Networks

Reference 291

Resolution
verified exact
arxiv_id, observed 2026-05-29T03:04:33.878554Z

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.

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