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Paper Citation Record · LEDGER

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

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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.

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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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:40.125988Z digest=sha256:d3e7792bdad162b161bcdfc73442df70d736663e81fdc9ef86621ed4f0edc0d6

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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:40.259276Z digest=sha256:ef8d84038e9e58b78e8ca37fc71bc7e5c7e14ef160ae10eba61e8d9e68d254c8

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+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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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:40.608273Z digest=sha256:44c766a057a5adb2b9aa937a50a10dd3b1ef0eb2f6280a40d7b0b2895a41ee4a

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

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raw_fallback, observed 2026-08-06T19:14:55.584613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+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

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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 2026-08-10T06:31:04.303077+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:40.836877Z digest=sha256:eff9f2fbfe045b40ab979b230c34210ebef3f74bb5f3c32e45183d9f39b3b52b

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

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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 2026-08-10T06:31:04.303077+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+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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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+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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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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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raw_fallback, observed 2026-08-06T19:14:53.677361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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

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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 2026-08-10T06:31:04.303077+00:00.

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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.096193Z digest=sha256:2bb187a4ecf99b32d6c64f5de429b7599bcce06a97e0db06fa7d13ebd15a2106

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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verified fuzzy
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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.166124Z digest=sha256:3a3498b46f401183ec65b88e080cc4625e893db2918219841d1096769348aca4

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.241945Z digest=sha256:6e0e03b42d73d166c17b7c094f3a193c39b6e1defbe94bf6cbc1d386d7cac712

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.285615Z digest=sha256:661d214cae377a4055419ba58cd42f971126f600d7a489a7159a845e3821d073

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.370886Z digest=sha256:7edc47c77c3f2f07ff0d924f33937e93f078f27d0a4d257afda98e7f2c1f62f8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.431661Z digest=sha256:862165a9ee8d62d2a01189abc2bb209f38932217e41a323f918e0463e5e5d236

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.479355Z digest=sha256:846049a41a9262c0fb11861cb77e48978c35f06574cd355bf8b9b75724694a16

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.591429Z digest=sha256:d4dda06186242c0268278d069e1e6b3da4ee28d424902fb5268f7104ab831eec

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.660141Z digest=sha256:7d570a28a935beb2fe0b3117863c3b9fc0b04af0ff15e0c5636a3dd2c5dfd031

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.796558Z digest=sha256:4b0f806169a7f06fb14472642b43c74ef4e8a95809a2606a59b659db58d9af06

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.856520Z digest=sha256:981629f3608317487370bc7e70ba5071a33b11dd131ac838790afea6e0ce6470

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:42.973592Z digest=sha256:61d40bb2e3513c6cedd2518910b6dd6ade1c14a201f51fc00bd9c39e220e931e

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:43.072895Z digest=sha256:1c106e4d08c92a47bc42143ac712338b0fa72809610491e309ff0827250d7ace

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:43.270182Z digest=sha256:992d4f2fe43ce12d857c40cd738ec72fded881a094cd6948222b311f950aef53

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:43.365705Z digest=sha256:1304e6b7d18cb2f89ec88cf4435346de9e841750a338832c68312765a85af77e

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:43.521175Z digest=sha256:e5d836d4e8f7eddb6ba97e7d9a1fd0c8965b5d770e3b2b089aa77c82993d621b

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:43.719303Z digest=sha256:71e55e7b0658669e2bee1aac4a4f63e0c6fdbe1c0e7d28aba55764f6c21021da

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:43.769416Z digest=sha256:1a48f455eeba49d15918fbdfa4606326ebecbab9ffd6c34972ec4e13ac488958

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:43.867990Z digest=sha256:254e3d103cb933ded37538e6c3570b7f0c0d172296bf1c7b3cfe1f09c6f45c53

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:43.967059Z digest=sha256:e34aac29aae3b5d7cd655cb7efbd4af72b70150a77a524284a6761170ed87c41

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.076252Z digest=sha256:23034f13bf03d38be864cbb9024b499dd0a72731885d00eb0b161f007580d765

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.125388Z digest=sha256:df9121aaf1309ebc594751c119eb0a4aa057714f78154200a16ba4b95db5c889

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.199670Z digest=sha256:ab2efdd159aaa6a3930a28fa6c614ad11d9bae91b5e37f324ad64deda1c2dcf9

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.270776Z digest=sha256:6d296bf32ce725383058dc242407093674138fc2232d85783a6c0783916b8adb

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.311610Z digest=sha256:ee5bf768e143a0e1893f3731c712cb59a1780938c6db80d3fc4ad1f7d630e73d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.362555Z digest=sha256:ce09e791aebddb6c2ab64cb2f8fdc4fe9c4033621431ba92897b1d91944d5c28

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.450835Z digest=sha256:e04d222e095ff20a16b2c4173d5900a7af7a974fff5fbc6720cc982c5cd9adbe

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.533650Z digest=sha256:3a9d6974e55dc75a91357715011c6b33d2141947f1cd4226653c478d1c33af58

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.633308Z digest=sha256:31910e7a875b98a4256444577c356bbbbc137002aadd48e325669f0d1d93f05d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.735360Z digest=sha256:823f83573d786d0ff4351db847f4edb306f8447bc419102476e3abb2ce546447

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.760676Z digest=sha256:1cc0ff36ce077ecbd755dde630880b3ec378a9f8992679049e1298883996c2dd

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.814477Z digest=sha256:0d7510a64d3790f020eebbfccfbc12507d857e8db048f973cd57b910da8cafce

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.888157Z digest=sha256:adbf4c3c2283fa21c348c6591ab9ee9f338b90d86a364a7e35b0f152910019ce

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:44.933242Z digest=sha256:844e978241fee5493b33f2e28eeb6454d6d3cd4093d2aa8555990f117dacecc5

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:45.002737Z digest=sha256:1b1eada8acbcedad59951cd72d272d47793080ed84c19dab9b486c5304cc4149

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:45.061534Z digest=sha256:22906bf488399a8803e87ae31ba55004374f008eefe630cdd31a9b770686bc46

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:45.119820Z digest=sha256:a007b2e57f251008db4a6cce12fc6b0ded67a22a16d384b3ee815abe66ea4dee

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:45.176910Z digest=sha256:fd5dbe09f9d7d0998eee6c7ea71abe2be76e067c24ec19531e436c2d3a5ef2e1

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:45.250200Z digest=sha256:c72eec77222750b1524b59159011a0cef7ab97a68482e95c550f30c9fa798c99

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:45.317050Z digest=sha256:0a099dac96838924a4a26f579b5f96b8580bb1163b5c6322c9c2b856e830f23a

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:45.387642Z digest=sha256:1b11bc45a1443c9b644779f8dea4c434b4b2607159624d25ae52530132a86e9a

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:45.421401Z digest=sha256:46508ce8f7759f855060f53113ff1338454e852a4b7155e316d3636ed8758e3c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:45.483349Z digest=sha256:4a84fd79ab64a067d96ac729c70e110c1f2d1f832966b8cc9508bd9d96466b1e

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:14:45.556138Z digest=sha256:74d4719c872fc40ad6cb0a55fea6bae04baa44f9c958a18e8dcc7523cb54840d

Pith citing papers

No inbound Pith citation observations are available.