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Paper Citation Record · LEDGER

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks

As of 9 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 0 inbound Pith citation observations for arXiv:2507.06381.

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

pith.paper-citation-record.v1
2507.06381 v1

Coverage vector

measured 80 of 80 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:14:45.556138Z

measured 80 of 80 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

80 of 80 outbound references displayed

  • verified exact0
  • verified fuzzy39
  • unresolved40
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6bcd5434-203d-47f5-9db7-9eb23b205b25 · outbound

This paper cites Chen, Yulia Rubanova, Jesse Bettencourt, and David Duvenaud.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Chen, Yulia Rubanova, Jesse Bettencourt, and David Duvenaud

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 751a5659-3f38-4e81-9f06-985effa6dca3 · outbound

This paper cites Deep learning.Nature, 521(7553):436–444, 2015.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Deep learning.Nature, 521(7553):436–444, 2015

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:14:39.984022Z digest=sha256:c5705acbd357e2f9c78c7b54b1d55e4f40074d996f75c5dfebb20b49c3d3a16f

Observation 15951f7c-9b8d-4394-8751-37fdb6097563 · outbound

This paper cites Opening the black box: low-dimensional dynamics in high- dimensional recurrent neural networks.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Opening the black box: low-dimensional dynamics in high- dimensional recurrent neural networks

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation d927423c-d749-4b38-b829-78bbadb23d9b · outbound

This paper cites Farrell, S.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Farrell, S

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation b4491594-e1b0-4b8f-859a-c8e3b9f29fcc · outbound

This paper cites Driscoll, Krishna V.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Driscoll, Krishna V

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:40.125988Z digest=sha256:31263441ac543292a855d93f89d59a452e6ce603bc03184da5e40c0cad70e5c4

Observation e3155769-3c82-4f9f-8b14-73189e193fad · outbound

This paper cites The simplicity bias in multi-task rnns: Shared attractors, reuse of dynamics, and geometric representation.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks The simplicity bias in multi-task rnns: Shared attractors, reuse of dynamics, and geometric representation

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 9503b921-12e3-4923-b62a-7533116c8135 · outbound

This paper cites The interplay between randomness and structure during learning in rnns.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks The interplay between randomness and structure during learning in rnns

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:40.259276Z digest=sha256:1e71fafe34d48d0b44ebc4da71c37592dee38ff79067e0e35cbbc16ec1d78968

Observation 7a62f08e-66c4-4eaa-9225-d562b818cb3d · outbound

This paper cites Pytorch: An imperative style, high-performance deep learning library, 2019.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Pytorch: An imperative style, high-performance deep learning library, 2019

Reference 8

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:14:40.330312Z digest=sha256:88baf419acef4fa1ef717d696413ff639d95a9592233062f0443089c439f70a5

Observation 5a3f862a-bab8-46b5-946c-f0713fa1bdb8 · outbound

This paper cites Hodgkin and A.F.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Hodgkin and A.F

Reference 9

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raw_fallback, observed 2026-08-06T19:14:56.429213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation ffcc11dc-386c-4cd1-b51d-b529b841fc58 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 10

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raw_fallback, observed 2026-08-06T19:14:56.211295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation b76bca2a-fe1f-4fb4-95e5-66f358994d31 · outbound

This paper cites Neural machine translation by jointly learning to align and translate, 2016.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Neural machine translation by jointly learning to align and translate, 2016

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 0dc743c5-477b-4a95-8999-72e80ddad49f · outbound

This paper cites van der Schaft.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks van der Schaft

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation edf50c3d-68f4-4e11-9552-bbdc10940332 · outbound

This paper cites Neural tangent kernel: Convergence and generalization in neural networks.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Neural tangent kernel: Convergence and generalization in neural networks

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation b8b711e3-95ec-40d4-9e0f-f31e0a28d2b3 · outbound

This paper cites The recurrent neural tangent kernel.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks The recurrent neural tangent kernel

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:55.328658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:40.769883Z digest=sha256:b10219baf4217ab429100d6b485e55af21aa9f5e153451503277ba773796d571

Observation b888ef48-1cc0-4815-a6ae-05069d90ac05 · outbound

This paper cites Exploring the impact of activation functions in training neural ODEs.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Exploring the impact of activation functions in training neural ODEs

Reference 15

Resolution
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raw_fallback, observed 2026-08-06T19:14:55.028188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:40.836877Z digest=sha256:99db3e9045bb0be6f5324065ab06713e91efecf12a9b358872948ca7e30116ce

Observation b089b806-a031-4afa-8f85-824f4319dfc2 · outbound

This paper cites Deep residual learning for image recognition, 2015.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Deep residual learning for image recognition, 2015

Reference 16

Resolution
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no resolver link, observed 2026-08-06T19:14:40.915070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 5cd33bfc-d565-4711-be70-6d82366257c2 · outbound

This paper cites On lyapunov exponents for rnns: Understanding information propagation using dynamical systems tools.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks On lyapunov exponents for rnns: Understanding information propagation using dynamical systems tools

Reference 17

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raw_fallback, observed 2026-08-06T19:14:54.836119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation ae81d3f3-6ba9-47e9-aaa7-528ccc3095fa · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 18

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation d6fe292f-f84e-4f9c-8dd1-5d4e42268334 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 03f58af1-c494-402e-a894-67052ab5c741 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation d56f07b5-d41f-4580-86ee-2d1a36cbeed2 · outbound

This paper cites Zavatone-Veth.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Zavatone-Veth

Reference 21

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 0e254ef9-cae6-4954-9a5d-bd96ab092cb0 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 22

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raw_fallback, observed 2026-08-06T19:14:54.186020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 08929efc-2a2f-4be5-bc2e-cf5b21138b13 · outbound

This paper cites Transition to chaos in random neuronal networks.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Transition to chaos in random neuronal networks

Reference 23

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raw_fallback, observed 2026-08-06T19:14:54.026473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 866c8fed-1612-4292-b8f4-f27a86f65541 · outbound

This paper cites How connectivity structure shapes rich and lazy learning in neural circuits.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks How connectivity structure shapes rich and lazy learning in neural circuits

Reference 24

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raw_fallback, observed 2026-08-06T19:14:53.858218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation f8f35350-1759-4c2d-b31e-8619b307bda1 · outbound

This paper cites Organiz- ing recurrent network dynamics by task-computation to enable continual learning.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Organiz- ing recurrent network dynamics by task-computation to enable continual learning

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 28e9b5fe-29c3-4422-8de5-22dfc29fb4ed · outbound

This paper cites Learning representations by back-propagating errors.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Learning representations by back-propagating errors

Reference 26

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raw_fallback, observed 2026-08-06T19:14:53.490996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 3b92b044-d843-493e-b489-81ef1a515940 · outbound

This paper cites Kistler, Richard Naud, and Liam Paninski.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Kistler, Richard Naud, and Liam Paninski

Reference 27

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raw_fallback, observed 2026-08-06T19:14:53.349987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 0621b738-4db5-455e-bfd0-1df797d4d26a · outbound

This paper cites Mean-field theory of two-layer neural networks: dimension-free bounds and kernel limit.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Mean-field theory of two-layer neural networks: dimension-free bounds and kernel limit

Reference 28

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verified fuzzy
raw_fallback, observed 2026-08-06T19:14:53.165255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation ca283e1c-4659-4146-bbf9-c99dac9b35a2 · outbound

This paper cites Context-dependent computation by recurrent dynamics in prefrontal cortex.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Context-dependent computation by recurrent dynamics in prefrontal cortex

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:53.023125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.040762Z digest=sha256:ccc6eb7f37602a9855e1009f7f04ca0eac4f9ca00b5b4858e16bc230be60eba9

Observation d7730b37-f5e1-46cb-bac6-a87a6b8265d6 · outbound

This paper cites Open the black box of recurrent neural network by decoding the internal dynamics.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Open the black box of recurrent neural network by decoding the internal dynamics

Reference 30

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verified fuzzy
raw_fallback, observed 2026-08-06T19:14:52.905112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.096193Z digest=sha256:e8a612789f0c6c7d2c6b1c38da4fff110e8bf4dab1d759e6530b740435d1ad41

Observation ad34bcac-d812-4065-b0de-4bbfcdd22d28 · outbound

This paper cites Izhikevich.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Izhikevich

Reference 31

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raw_fallback, observed 2026-08-06T19:14:52.738057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.166124Z digest=sha256:6b98b5ab06d0ca7dfa874e4433cd1dec19bae4396973dc487951b6e00263b8f8

Observation 41603c75-a71c-4bb9-a1d5-e2b25ce8d6a1 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 32

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unresolved
raw_fallback, observed 2026-08-06T19:14:52.607481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.241945Z digest=sha256:a71e0c163c996f93085c8e4adc425b901f26941c989fba10c0bfe515833c8d95

Observation faf556b6-96ce-45ae-b740-9cd7aa1baa2d · outbound

This paper cites Exploring flip flop memories and beyond: Training recurrent neural networks with key insights.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Exploring flip flop memories and beyond: Training recurrent neural networks with key insights

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:52.461666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.285615Z digest=sha256:b5ddcd9f77465af1d2890d38f0cc5b8c19e5b5c13e68cc87f506793420d00be9

Observation 6641f980-1782-4b6a-8ce5-1e0f0f941d65 · outbound

This paper cites Gradient-based learning drives robust representations in recurrent neural networks by balancing compression and expansion.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Gradient-based learning drives robust representations in recurrent neural networks by balancing compression and expansion

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:52.270142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.370886Z digest=sha256:4e51bce6b4dbfa15c6b437e95e6af00a380d1ec5f0ec3e71be5db3b3ea99f944

Observation be77e28a-05a4-40d1-9197-47ed1cf513b8 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:52.128968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.431661Z digest=sha256:91ef94c3320195744018141252772e878334e16fb0910babd6651578bfca5137

Observation d6a82ea2-cfb8-4757-b9c0-d81350bf268d · outbound

This paper cites Predictive learning as a network mechanism for extracting low-dimensional latent space representations.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Predictive learning as a network mechanism for extracting low-dimensional latent space representations

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:51.993453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.479355Z digest=sha256:1e28ba3c609b565757bb77f49f1c835b0e3d8c71520359521d45a95a35166bc1

Observation e640a77a-8668-4bb4-960b-b1774c24b04d · outbound

This paper cites Pereira, and William Bialek.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Pereira, and William Bialek

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:51.820962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.591429Z digest=sha256:157feb85efba9e40c0a81ec19b1dbe9b516b2363629dbb827da1a5d6ec2eedf5

Observation af704ddb-f153-4999-b777-e0eb75762b5b · outbound

This paper cites Joglekar, Henry F.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Joglekar, Henry F

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:51.656492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.660141Z digest=sha256:fc6a4575a7d40e8b6af25fb00b667323caab42c96a7e429c2211b6ecdded2992

Observation b6916a2d-9ae4-4372-80b6-9f889c441dd5 · outbound

This paper cites Out-of-Domain Generalization in Dynamical Systems Reconstruction.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Out-of-Domain Generalization in Dynamical Systems Reconstruction

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-06T19:14:42.727915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:14:42.727915Z digest=sha256:d8ba366301acd470f9db721093111335883be9142806ee60a86a1d59e493749b

Observation 663c856a-2f82-4c5d-90b7-5d0a8de208fc · outbound

This paper cites Ergodic theory of differentiable dynamical systems.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Ergodic theory of differentiable dynamical systems

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:51.483380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.796558Z digest=sha256:3f42276aa45c5ebafdad28acb6f5c3dc91995305f7500063e737dbdefab9f33c

Observation e22ae7ba-5102-422f-84fc-3bc742a276b9 · outbound

This paper cites Finite-time lyapunov exponents of deep neural networks.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Finite-time lyapunov exponents of deep neural networks

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:51.336343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.856520Z digest=sha256:0190e62d73b8d1468979c60c6d901e1b219dd55aa02f3d00878c8db24be8a027

Observation f72e09cb-db5d-4dd3-8df5-3317c0eb127c · outbound

This paper cites On the difficulty of learning chaotic dynamics with rnns.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks On the difficulty of learning chaotic dynamics with rnns

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:51.158337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:42.973592Z digest=sha256:8aff68a4fec171758282a882d9d6de82a8df2dc5f24022ea91b6726b1620b60a

Observation 2fd4d2ec-bc34-4faa-940b-5048d9c9848d · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:50.914324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:43.072895Z digest=sha256:682307a14df30b484aa4233d62101054841f037c8981353803fb11fe5ae4ccdd

Observation 1a5affb0-b3ac-47b2-9c21-4ff3844ba3f0 · outbound

This paper cites On the difference between variational and unitary coupled cluster theories.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks On the difference between variational and unitary coupled cluster theories

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-06T19:14:43.143635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:14:43.143635Z digest=sha256:6cf217ef8438bfbb05ac2ad1def8891d145e07b350b26fd9daffcc2fb5237cd4

Observation 0f899738-3cd3-4304-a83a-2585551233d4 · outbound

This paper cites Optimal Stopping and the Sufficiency of Randomized Threshold Strategies.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Optimal Stopping and the Sufficiency of Randomized Threshold Strategies

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T19:14:43.216345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:14:43.216345Z digest=sha256:80af542eb46a5cdf016bc3d885943b4c9b0db349d80a35d3a8c7eba8b79aeaa2

Observation a5c4c323-278e-4063-aecb-ec820ed6fa92 · outbound

This paper cites Discretize-optimize vs.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Discretize-optimize vs

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:50.708663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:43.270182Z digest=sha256:6bd91c64f874fd65fd1d9dd0e4202a20bacdd0574f57e2e86c1aa8e271a12c71

Observation 35d5db53-b68d-40f3-921c-f75a149a6bef · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:50.438469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:43.365705Z digest=sha256:a0c8d0a355c0a68a862c206a785e6d46faca41021251f8fb16f2d4c017c70467

Observation 2ec0a005-f3d0-478f-9485-b5035a8c9005 · outbound

This paper cites Golub and Charles F.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Golub and Charles F

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-06T19:14:43.430223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:14:43.430223Z digest=sha256:2d88b10a6e304039eefbf2be6975fa4ba811bd87239b37e89bf029ca646bc2ff

Observation 51363e91-30f7-4e26-b9bc-06a2f2d4c7c0 · outbound

This paper cites Introductory Functional Analysis with Applications.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Introductory Functional Analysis with Applications

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:50.261126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:43.521175Z digest=sha256:50a49e2df705493825a693d119497483aecc9f89bb563c0170652c4cc077b7de

Observation 1784fa58-995f-4304-bd87-1119166edc4e · outbound

This paper cites Oliphant, Matt Haberland, Tyler Reddy, David Cournapeau, Evgeni Burovski, Pearu Peterson, Warren Weckesser, Jonathan Bright, Stéfan J.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Oliphant, Matt Haberland, Tyler Reddy, David Cournapeau, Evgeni Burovski, Pearu Peterson, Warren Weckesser, Jonathan Bright, Stéfan J

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-06T19:14:43.579521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:14:43.579521Z digest=sha256:2435fe17749d13a331988198ca467a66b61a88207950e306d6153ff1a14ab207

Observation b3990b7f-8032-4e58-a6ef-07f33f54bf81 · outbound

This paper cites JAX: composable transformations of Python+NumPy programs, 2018.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks JAX: composable transformations of Python+NumPy programs, 2018

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-06T19:14:43.648251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:14:43.648251Z digest=sha256:4f598c28279af08e3e5d335ac7d9e4fc82b8a72ca5b0e4d0be2af8b66d5cd5d4

Observation 39f19a18-8eea-41b5-b7c6-e9fbb78251f4 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:50.098234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:43.719303Z digest=sha256:125429d4be6afacd8d81b095b35c932a39d2693844e965055eaec0d3f1ff911f

Observation c77261cf-996b-4d13-ac77-469fed33f12e · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:49.842177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:43.769416Z digest=sha256:d1ab188a7b4405f2218ea63440ef827309634bcb5bd01a7d4d62669bb8643a3a

Observation d165a6fd-a44c-4b04-9457-6f7a549c9b66 · outbound

This paper cites Evolutionary algorithms as an alternative to backpropagation for supervised training of Biophysical Neural Networks and Neural ODEs.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Evolutionary algorithms as an alternative to backpropagation for supervised training of Biophysical Neural Networks and Neural ODEs

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-06T19:14:43.804067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:14:43.804067Z digest=sha256:692480f92855d9a061df66432f84c2c993ad681dd1cacdd2258385314293cfa6

Observation 3c5a6cfe-3e1e-48c3-9f6b-08afc86ca7b4 · outbound

This paper cites per-trial trajectories.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks per-trial trajectories

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:49.617299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:43.867990Z digest=sha256:337a57269d75f0207f620597e424228521b2e2666c1f38b1f3d0a3370bbea515

Observation 6de78107-afbc-4548-af0a-bd560277e5ec · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:49.410199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:43.967059Z digest=sha256:9472d6faecb5e5396783e50dca20dc21d86880c9ec255bd542958ade2d36730a

Observation acdb671c-4e22-442a-a492-6af5fd9d72ff · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:49.166800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.076252Z digest=sha256:d2cf08510c8cfcf7e8d4bba739d1c67da84234572999a06f74e1d24eeb2bf58f

Observation 66353913-9291-4d7f-a4a4-63ec20d59341 · outbound

This paper cites extrapolating.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks extrapolating

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:48.918598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.125388Z digest=sha256:15d1564a6f6caef8ad00aacce030dda9f993fc6d11ea6991dbdf7c9a6b028993

Observation f1bac7ea-b1ad-401c-b7af-262289526aa6 · outbound

This paper cites direct integral.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks direct integral

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:48.789270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.199670Z digest=sha256:9ce75bd3a7954507ff1c1a346c1b774445c1f17735a070153158c8b12df9d1c1

Observation ec660845-8aff-421f-8d38-59cecf229a08 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:48.559397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.270776Z digest=sha256:99dcfa382d5d8b576ff558d3b8010c86883ab936a0415b4d5d47cb0cef0cf133

Observation d8c4a162-32dc-4fcc-89f9-e29b731ce77d · outbound

This paper cites The linear approach relies on the variation of parameters for small inputs q.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks The linear approach relies on the variation of parameters for small inputs q

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:48.366664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.311610Z digest=sha256:f51d46198f1cd727850829a881b5f5bc3c97e9c8226da31111726862c45a539f

Observation 26e8cabc-8e58-4c48-bb7f-7340c1e33ca0 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:48.103873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.362555Z digest=sha256:00a587855fda5ebac8a1b63050507c6f5e192ccb41bf756403c480b6cef4212d

Observation b8b4be57-70f9-4ae7-b243-a242a303c056 · outbound

This paper cites View" of Computation Graph Wj Supplementary Figure 9: Visual depiction of computation graph “view.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks View" of Computation Graph Wj Supplementary Figure 9: Visual depiction of computation graph “view

Reference 63

Resolution
malformed identifier
raw_fallback, observed 2026-08-06T19:14:47.852542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.450835Z digest=sha256:cd2f398705e67af29c768459fefc59a8dd2a1bda8b874fc587d6c88e8f2d767d

Observation 46862ad1-e2ed-4e6c-9c45-c0f9abea96eb · outbound

This paper cites block arrowhead matrix.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks block arrowhead matrix

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:47.609967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.533650Z digest=sha256:98f039dff857ed356dda75bfea33605b892bae6707d5c9c3d8c8629bc558f591

Observation 732e2c43-c370-47ef-b7cc-518fb5bb39f3 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:47.410535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.633308Z digest=sha256:24793f3e030d866ff9a65566271caa07c4e39f45f9fc974953c1bf75f62948db

Observation af347287-25b0-4acd-ab96-dad6c0de486b · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:47.148945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.735360Z digest=sha256:b313891ffa6b495cd1ffbe32ff9bde517cdb944c1146defec68b6cf507be7715

Observation 0198fb55-9298-4ddd-8daf-778baef5addb · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:47.083469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.760676Z digest=sha256:82b3af6a7a67e6396380e291186a06225c6afc2a2dba547f4972fa825f2d3ea5

Observation a4aec197-4259-45ce-bbc9-7726f03cebfd · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:47.005723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.814477Z digest=sha256:6500608d7764c37ef08e30ea37e4b14040b885c335230e1148af4f5b6ec31cb1

Observation cdd03140-a0a1-4d47-babe-a0cf3cce8b14 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:46.910077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.888157Z digest=sha256:d1dce96950176b9fb605dc58bb05020ee7047edeb78b0ab96be80615ff31159d

Observation 4e19e4cd-1fcf-413e-8556-0dee65e90f05 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:46.813146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:44.933242Z digest=sha256:c98a308c083296c1ce84c5043f661c492d16cab96ee350ee1643a53f356590e5

Observation 96dedfa9-f3fb-4df9-ae13-4730166706b8 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:46.695009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:45.002737Z digest=sha256:3734c3353710730d278a0c49c43c15141a29fef70de658458e3a52d1117235bd

Observation 485000c7-b466-41bd-a074-dba0ab1cff89 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:46.555791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:45.061534Z digest=sha256:014d7ddd59c5be80e444f290127e94c43ea832050c47d601c37d796d7fca4c82

Observation 7b42a4bd-03af-4872-92ab-9ab3588b406d · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:46.452308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:45.119820Z digest=sha256:7b92b31678edf966180f7a0d08c048a608249fb30073a6b6e8e0692b6f2b1af4

Observation ab01e0fb-89e0-45c4-bef9-99b81cef4216 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:46.345240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:45.176910Z digest=sha256:bbc30991e73b80f5f2a8be0aa1c6e017af9717f0127cfbfd8156ebb610d08680

Observation dcb70147-91f1-4f12-8dbb-a1cf5251f03d · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:46.250178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:45.250200Z digest=sha256:17d9c86a0aa7d468d021aa88d4542165d9defc2eaebc0a1bb4c693e2b209629c

Observation abdcdedf-4fc1-4fc5-a9cf-b5253bf04e00 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:46.122831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:45.317050Z digest=sha256:7c599248fbe1871d8791ee565ca8a237cdaee2e10eae7d09545c146871448bce

Observation 6ecfb125-af0d-4a11-9a76-eb20603666e1 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 77

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:46.026698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:45.387642Z digest=sha256:fbb1ce6f9d87b425703fa4dfd12db5285eea9e95973ee6a8509fdc0ee10634a0

Observation ecb72c83-a967-40ae-9fda-00c158797b7c · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 78

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:45.931489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:45.421401Z digest=sha256:b8b5a1b8dcb678b38da1df018f179ff5ffa97cf266c5135f2b2d3529b71a0592

Observation 1573e2f9-a50f-43a2-a648-3d4b08193d29 · outbound

This paper cites an unresolved cited work.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Unresolved cited work

Reference 79

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:45.838571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:45.483349Z digest=sha256:ce319a0178fdc91e41d70968cb12bd4ee2ebd6574b6df9699c29ae085f4ebd4b

Observation d434a528-97c3-43fe-9fba-63080984e24a · outbound

This paper cites Answer: [NA] Justification: LLMs are not a core component of our research and they were not used in generation of the paper.

KPFlow: An Operator Perspective on Dynamic Collapse Under Gradient Descent Training of Recurrent Networks Answer: [NA] Justification: LLMs are not a core component of our research and they were not used in generation of the paper

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:45.725074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:14:45.556138Z digest=sha256:ed9aff35e879f081ed7ab790253b55eb8b19c457bdd8d7d773493f36afee350c

Pith citing papers

No inbound Pith citation observations are available.