Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:55:55.250912Z
Paper Citation Record · LEDGER
The Geometry of ReLU Networks through the ReLU Transition Graph
As of 20 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2505.11692.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:37:56.522303Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-15T18:16:14.067578Z
Reference resolution
23 of 23 outbound references displayed
- verified exact0
- verified fuzzy15
- unresolved7
- parse uncertain1
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5cc9309a-15c7-4e52-a7ae-f497c3ea9a8b · outbound
This paper cites Understanding deep neural networks with rectified linear units, 2018.
The Geometry of ReLU Networks through the ReLU Transition Graph Understanding deep neural networks with rectified linear units, 2018
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:55:55.181218Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a6441b2d-0fae-4df6-acc0-5812b94c78f0 · outbound
This paper cites Bartlett.
The Geometry of ReLU Networks through the ReLU Transition Graph Bartlett
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.471757Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3a19054a-7b7c-4b76-8edf-a370a60d5e17 · outbound
This paper cites A combinatorial theory of dropout: Subnetworks, graph geometry, and generalization, 2025.
The Geometry of ReLU Networks through the ReLU Transition Graph A combinatorial theory of dropout: Subnetworks, graph geometry, and generalization, 2025
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:55:55.188410Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4057ae10-710a-4a31-8d5d-d638432730a7 · outbound
This paper cites Neural networks as universal finite-state machines: A constructive deterministic finite automaton theory, 2025.
The Geometry of ReLU Networks through the ReLU Transition Graph Neural networks as universal finite-state machines: A constructive deterministic finite automaton theory, 2025
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.456407Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e21063ec-0259-469d-8475-9b3bae75d670 · outbound
This paper cites The lottery ticket hypothesis: Finding sparse, trainable neural networks, 2019.
The Geometry of ReLU Networks through the ReLU Transition Graph The lottery ticket hypothesis: Finding sparse, trainable neural networks, 2019
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:55:55.194695Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11bcba2c-2daf-4cf8-ad50-0997ed8e52c8 · outbound
This paper cites Deep sparse rectifier neural networks.
The Geometry of ReLU Networks through the ReLU Transition Graph Deep sparse rectifier neural networks
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.440544Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0b7d623d-a732-4eb1-9fc5-4970be1a2ddf · outbound
This paper cites Guss and Ruslan Salakhutdinov.
The Geometry of ReLU Networks through the ReLU Transition Graph Guss and Ruslan Salakhutdinov
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:55:55.201608Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 617dac91-d724-4c17-84b8-128dc3b2cc84 · outbound
This paper cites Complexity of linear regions in deep networks.
The Geometry of ReLU Networks through the ReLU Transition Graph Complexity of linear regions in deep networks
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.424161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d6d92211-ad06-41ca-a75f-3f3964ef3bc6 · outbound
This paper cites Approximating continuous functions by relu nets of minimal width, 2018.
The Geometry of ReLU Networks through the ReLU Transition Graph Approximating continuous functions by relu nets of minimal width, 2018
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.407316Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ecc44947-6d2f-4910-a230-ba38856f4c23 · outbound
This paper cites On the number of linear regions of deep neural networks.
The Geometry of ReLU Networks through the ReLU Transition Graph On the number of linear regions of deep neural networks
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.397310Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7a38f95d-497e-41d0-9084-ec54d9d0d742 · outbound
This paper cites an unresolved cited work.
The Geometry of ReLU Networks through the ReLU Transition Graph Unresolved cited work
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:55:55.216722Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99209b28-05b3-427d-9162-b9b2067bd561 · outbound
This paper cites In search of the real inductive bias: On the role of implicit regularization in deep learning, 2015.
The Geometry of ReLU Networks through the ReLU Transition Graph In search of the real inductive bias: On the role of implicit regularization in deep learning, 2015
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:55:55.219906Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4192890c-1eb5-4e88-80b2-8fa584acf127 · outbound
This paper cites Norm-based capacity control in neural networks.
The Geometry of ReLU Networks through the ReLU Transition Graph Norm-based capacity control in neural networks
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:55:55.223050Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f68ed799-33a6-4ad9-9647-d5a92648c5bf · outbound
This paper cites Abolafia, Jeffrey Pennington, and Jascha Sohl- Dickstein.
The Geometry of ReLU Networks through the ReLU Transition Graph Abolafia, Jeffrey Pennington, and Jascha Sohl- Dickstein
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.367819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5d9b1354-2e22-4517-bcb0-bf2f4ee8b1ea · outbound
This paper cites Pytorch: An imperative style, high- performance deep learning library.
The Geometry of ReLU Networks through the ReLU Transition Graph Pytorch: An imperative style, high- performance deep learning library
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.357927Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b6ee4102-6fd0-42a8-b11a-b93b05da5ab3 · outbound
This paper cites Expo- nential expressivity in deep neural networks through transient chaos.
The Geometry of ReLU Networks through the ReLU Transition Graph Expo- nential expressivity in deep neural networks through transient chaos
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.348219Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2c165f70-01c6-4c52-88c0-5d62d015b6b5 · outbound
This paper cites On the expressive power of deep neural networks, 2017.
The Geometry of ReLU Networks through the ReLU Transition Graph On the expressive power of deep neural networks, 2017
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.336475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e65edef5-6a0b-4140-bdd1-de798fe798fc · outbound
This paper cites Bounding and counting linear regions of deep neural networks.
The Geometry of ReLU Networks through the ReLU Transition Graph Bounding and counting linear regions of deep neural networks
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.325545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e91560f7-4d1e-4ab1-a79d-703525800f32 · outbound
This paper cites benefits of depth in neural networks.
The Geometry of ReLU Networks through the ReLU Transition Graph benefits of depth in neural networks
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.313688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 95b140b0-0f27-4f6a-84f3-3bd350f84044 · outbound
This paper cites Facing up to arrangements: face-count formulas for partitions of space by hyperplanes, volume 1.
The Geometry of ReLU Networks through the ReLU Transition Graph Facing up to arrangements: face-count formulas for partitions of space by hyperplanes, volume 1
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.304083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1736ffe8-064a-4457-ab46-bdd0204f9da8 · outbound
This paper cites Lee, Martin J.
The Geometry of ReLU Networks through the ReLU Transition Graph Lee, Martin J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.293450Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation adac6c60-c66b-463f-bf89-45fa71715912 · outbound
This paper cites For each such nodev∈ S, the corresponding region Rv contributes little to the function’s global variation due to its low connectivity (few adjacent regions) and likely small volume.
The Geometry of ReLU Networks through the ReLU Transition Graph For each such nodev∈ S, the corresponding region Rv contributes little to the function’s global variation due to its low connectivity (few adjacent regions) and likely small volume
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:55:55.282729Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0f20cc56-24ea-451f-bad4-82d678c1268b · outbound
This paper cites an unresolved cited work.
The Geometry of ReLU Networks through the ReLU Transition Graph Unresolved cited work
Reference 2604
- Resolution
- parse uncertain
- no resolver link, observed 2026-08-15T20:55:55.207541Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation a0c98cc1-eee2-4757-9ae4-bff2e0102c37 · inbound
Discrete Functional Geometry of ReLU Networks via ReLU Transition Graphs cites this paper.
Discrete Functional Geometry of ReLU Networks via ReLU Transition Graphs The Geometry of ReLU Networks through the ReLU Transition Graph
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T16:37:56.702935Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.