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Paper Citation Record · LEDGER

Training End-to-End Analog Neural Networks with Equilibrium Propagation

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2006.01981.

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

pith.paper-citation-record.v1
2006.01981 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 14 of 14 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 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:35:55.925123Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T16:18:37.668188Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation bf793937-9dda-4052-8049-da9219cc69ce · inbound

Bridging Predictive Coding and MDL: A Two-Part Code Framework for Deep Learning cites this paper.

Bridging Predictive Coding and MDL: A Two-Part Code Framework for Deep Learning Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T15:35:55.925123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:35:55.925123Z digest=sha256:118b2b017cbcc808e89bf24c344862265c21609b4756970b5a6302ca1fcd28e4

Observation 595cc3f4-44e8-4a49-9901-13fd0f571ace · inbound

Equilibrium Propagation for Dissipative Dynamics cites this paper.

Equilibrium Propagation for Dissipative Dynamics Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-06T22:59:58.694492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:59:58.694492Z digest=sha256:502bfc11e388ca5e23333d16f8fcc58f3ec5cd862bb2542e3f72c613e1e72822

Observation d2ce525d-c329-4e1e-a31c-20b0efdd3728 · inbound

An analog-electronic implementation of a harmonic oscillator recurrent neural network cites this paper.

An analog-electronic implementation of a harmonic oscillator recurrent neural network Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-05T10:30:46.507130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:30:46.507130Z digest=sha256:fd16f829203044dcff6e28e56177815eef163fb0639cb0be5c59f6e4a2582961

Observation ff99db00-7c52-473a-b074-c7d093b161d3 · inbound

Circuit realization and hardware linearization of monotone operator equilibrium networks cites this paper.

Circuit realization and hardware linearization of monotone operator equilibrium networks Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T16:41:18.614443Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T16:41:18.614443Z digest=sha256:c0f7dc332a9eb67148b62f2d4e62323c4a7eaa7cd21c786188ade1f123d9fcbd

Observation 56cc0b37-775e-43e7-9650-0ff0c2ad292d · inbound

Equilibrium Propagation for Non-Conservative Systems cites this paper.

Equilibrium Propagation for Non-Conservative Systems Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-03T05:02:11.250171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T05:02:11.250171Z digest=sha256:3326de09f0940cb634ff8c2de1d6bfa62f2a4f23254975de2b06bec961496264

Observation cf39d1ca-8f0d-4ab4-9549-c9ef36275981 · inbound

The Phase Is the Gradient: Equilibrium Propagation for Frequency Learning in Kuramoto Networks cites this paper.

The Phase Is the Gradient: Equilibrium Propagation for Frequency Learning in Kuramoto Networks Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-11T09:41:04.702170Z

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=arxiv_source observed=2026-05-10T15:52:13.956464Z digest=sha256:4ae02ece7ba455f53b4973a42f9736f891476d5e837cfb369d69f78e3b61c8c2

Observation 11bc912e-c5ac-4a9b-83b5-26cf3121ed91 · inbound

Design and Characteristics of a Thin-Film ThermoMesh for the Efficient Embedded Sensing of a Spatio-Temporally Sparse Heat Source cites this paper.

Design and Characteristics of a Thin-Film ThermoMesh for the Efficient Embedded Sensing of a Spatio-Temporally Sparse Heat Source Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:06:28.459624Z

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=2026-05-07T07:55:26.733968Z digest=sha256:3e4254d32d979ca6da37cb16ea0f99221a4d143cc6bb1d83563833f22766d5da

Observation 0154cbb3-f678-45fd-bdf6-0d4c7dcfdca5 · inbound

Hardware-Software Co-Design of Scalable, Energy-Efficient Analog Recurrent Computations cites this paper.

Hardware-Software Co-Design of Scalable, Energy-Efficient Analog Recurrent Computations Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 54

Resolution
metadata mismatch
arxiv_id, observed 2026-05-20T22:09:07.191287Z

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=2026-05-20T22:07:34.292536Z digest=sha256:fb9c51ed7d9acfa5ff526e74f8944c1f557fd1e9127179aa78034a516bc23913

Observation 7a07c1b0-6e5c-49da-823e-711dd5584840 · inbound

Hardware-Software Co-Design of Scalable, Energy-Efficient Analog Recurrent Computations cites this paper.

Hardware-Software Co-Design of Scalable, Energy-Efficient Analog Recurrent Computations Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 54

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T14:05:46.397388Z

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=2026-06-30T22:21:16.608148Z digest=sha256:854ac0af70e204dea41670524bd07edd5f97d67a00b8fbdf94bf4303414a7cbe

Observation da31fe5f-a1ee-436a-a206-763a132f7caf · inbound

Equilibrium Propagation and Hamiltonian Inference in the Diffusive Fitzhugh-Nagumo Model cites this paper.

Equilibrium Propagation and Hamiltonian Inference in the Diffusive Fitzhugh-Nagumo Model Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-22T09:34:46.828551Z

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=arxiv_source observed=2026-05-22T09:33:58.160546Z digest=sha256:4a8cf6f2a3b355da4b33846b6a67daa61ac6f54f474e2acd8e7daaf3dc8d0f27

Observation ea0df718-ec19-4989-aeb8-2ea54937798c · inbound

Training a Predictive Coding Network on ImageNet using Equilibrium Propagation cites this paper.

Training a Predictive Coding Network on ImageNet using Equilibrium Propagation Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-02T02:16:26.996030Z

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=2026-06-28T11:03:36.357260Z digest=sha256:7f24d24fa98e9609ba722f1c1e3f4eff607b2e6f1a4aa78acf8d25dcb965842b

Observation 2f54dc9c-c46c-467d-b4b0-b2b6dae56a63 · inbound

Optimizing Energy-based Neural Network Training with Coherent Ising Machine cites this paper.

Optimizing Energy-based Neural Network Training with Coherent Ising Machine Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-07-03T00:07:27.872632Z

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=2026-06-27T17:31:22.220125Z digest=sha256:d85587de4214362568bf55d0f805e596fd4a9d15c21f2fcd834f3f18c5a15e6f

Observation bf2e807a-3cfc-4755-ba18-70b918592cbf · inbound

Optical Implementation of Equilibrium Propagation Using Spatial Photonic Ising Machines cites this paper.

Optical Implementation of Equilibrium Propagation Using Spatial Photonic Ising Machines Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-07-03T16:18:37.669493Z

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=2026-06-27T05:54:58.628100Z digest=sha256:1e0753fc65e0232383d1e47b3c3dbf32caefc9713d134cf995c185bb1142dd23

Observation 4815a250-6217-4c7d-a18d-a9bc2cf227a6 · inbound

A Blueprint for Equilibrium-Based Differentiable Continuous-Variable Thermodynamic Computing cites this paper.

A Blueprint for Equilibrium-Based Differentiable Continuous-Variable Thermodynamic Computing Training End-to-End Analog Neural Networks with Equilibrium Propagation

Reference 117

Resolution
unresolved
no resolver link, observed 2026-08-01T21:12:14.141740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:12:14.141740Z digest=sha256:628a6d1fed3cfdeb4b44d762fdfd6eb726ee8d23ce470517d0fc8c175107a6a8