Paper Citation Record · LEDGER

Learning long range dependencies through time reversal symmetry breaking

As of 17 August 2026, this Paper Citation Record lists 78 of 78 outbound references and 3 inbound Pith citation observations for arXiv:2506.05259.

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

pith.paper-citation-record.v1
2506.05259 v1

Coverage vector

measured 78 of 78 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:29:46.598779Z

measured 81 of 81 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:46:05.805154Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T09:34:46.796448Z

Reference resolution

78 of 78 outbound references displayed

verified exact1
verified fuzzy33
unresolved44
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 281017e3-dabd-4764-9d1e-201deee15183 · outbound

This paper cites Resurrecting recurrent neural networks for long sequences.

Learning long range dependencies through time reversal symmetry breaking Resurrecting recurrent neural networks for long sequences

Reference 1

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Observation 4fe2e771-77e7-471f-82d7-93ef7277e1a7 · outbound

This paper cites Combining recurrent, convolutional, and continuous-time models with linear state space layers.

Learning long range dependencies through time reversal symmetry breaking Combining recurrent, convolutional, and continuous-time models with linear state space layers

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.326738Z

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Observation 77222ca7-a725-41f9-963d-a4c7a120755c · outbound

This paper cites Efficiently Modeling Long Sequences with Structured State Spaces.

Learning long range dependencies through time reversal symmetry breaking Efficiently Modeling Long Sequences with Structured State Spaces

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.330218Z

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Observation c5f9d62e-e734-43f0-9e65-65761888c7d6 · outbound

This paper cites Diagonal state spaces are as effective as structured state spaces.

Learning long range dependencies through time reversal symmetry breaking Diagonal state spaces are as effective as structured state spaces

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.397539Z

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Observation ca711b2b-9a94-42e7-bf9b-834dc54f1ba9 · outbound

This paper cites Simplified State Space Layers for Sequence Modeling.

Learning long range dependencies through time reversal symmetry breaking Simplified State Space Layers for Sequence Modeling

Reference 5

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Observation 375b8519-85d7-4019-8d89-67609bff4387 · outbound

This paper cites Mamba: Linear-Time Sequence Modeling with Selective State Spaces.

Learning long range dependencies through time reversal symmetry breaking Mamba: Linear-Time Sequence Modeling with Selective State Spaces

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.340941Z

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Observation 2c5b9417-15a3-490d-9b3e-11773de8c831 · outbound

This paper cites The hardware lottery.

Learning long range dependencies through time reversal symmetry breaking The hardware lottery

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.388101Z

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Observation 305936de-fd35-4fdc-9280-c3a4c957c0c9 · outbound

This paper cites Attention is all you need.

Learning long range dependencies through time reversal symmetry breaking Attention is all you need

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.348535Z

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Observation ab12caa5-7c72-45b8-a0cc-e3f2656e5684 · outbound

This paper cites The hardware is the software.

Learning long range dependencies through time reversal symmetry breaking The hardware is the software

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.372810Z

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Observation 3e64e34f-0179-4997-88d2-f276d2ceea55 · outbound

This paper cites Self-learning machines based on hamiltonian echo backpropagation.

Learning long range dependencies through time reversal symmetry breaking Self-learning machines based on hamiltonian echo backpropagation

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.362580Z

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Observation 6f210341-9002-468e-867e-b4f4be73a5e9 · outbound

This paper cites Training of Physical Neural Networks.

Learning long range dependencies through time reversal symmetry breaking Training of Physical Neural Networks

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.360284Z

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Observation 29d065fb-c8a9-47ba-8010-71d67d6711be · outbound

This paper cites Automatic differentiation in machine learning: a survey.

Learning long range dependencies through time reversal symmetry breaking Automatic differentiation in machine learning: a survey

Reference 12

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Observation 2a227184-a792-47e0-91b8-17254905c8f5 · outbound

This paper cites A learning algorithm for continually running fully recurrent neural networks.

Learning long range dependencies through time reversal symmetry breaking A learning algorithm for continually running fully recurrent neural networks

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.367950Z

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Observation c79d7f24-1a6a-4fd4-88a9-9045672be392 · outbound

This paper cites Online learning of long-range dependencies.

Learning long range dependencies through time reversal symmetry breaking Online learning of long-range dependencies

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.342537Z

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Observation 3233fcfa-c10b-43a5-9d71-ed0d74499c31 · outbound

This paper cites Unbiased Online Recurrent Optimization.

Learning long range dependencies through time reversal symmetry breaking Unbiased Online Recurrent Optimization

Reference 15

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Observation e4b0d576-1c58-4bfb-98ab-13a09bd9c4d7 · outbound

This paper cites A solution to the learning dilemma for recurrent networks of spiking neurons.

Learning long range dependencies through time reversal symmetry breaking A solution to the learning dilemma for recurrent networks of spiking neurons

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.333596Z

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Observation aecb07af-5b3d-418e-b5f9-6ff14d2e7e82 · outbound

This paper cites A Truly Sparse and General Implementation of Gradient-Based Synaptic Plasticity.

Learning long range dependencies through time reversal symmetry breaking A Truly Sparse and General Implementation of Gradient-Based Synaptic Plasticity

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.382015Z

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Observation 048b5a2c-3ef8-4569-b034-65878233ad6f · outbound

This paper cites Accelerating stochastic gradient descent using predictive variance reduction.

Learning long range dependencies through time reversal symmetry breaking Accelerating stochastic gradient descent using predictive variance reduction

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.385205Z

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Observation dfb8ff2f-0fb7-438e-b644-381b727db9d2 · outbound

This paper cites Stochastic Subspace Descent.

Learning long range dependencies through time reversal symmetry breaking Stochastic Subspace Descent

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.388490Z

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Observation af2c1023-f5cb-4751-a34d-5f5f6037e13a · outbound

This paper cites Multivariate stochastic approximation using a simultaneous perturbation gradient approximation.

Learning long range dependencies through time reversal symmetry breaking Multivariate stochastic approximation using a simultaneous perturbation gradient approximation

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.392338Z

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Observation 8f07c399-256d-4e03-9f07-bf007d380599 · outbound

This paper cites Model of birdsong learning based on gradient estimation by dynamic perturbation of neural conductances.

Learning long range dependencies through time reversal symmetry breaking Model of birdsong learning based on gradient estimation by dynamic perturbation of neural conductances

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.308363Z

Source-reported events for the cited work

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Observation a7db0ae1-bb54-43e8-9980-2cfe86bcbe96 · outbound

This paper cites Scaling Forward Gradient With Local Losses.

Learning long range dependencies through time reversal symmetry breaking Scaling Forward Gradient With Local Losses

Reference 22

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Observation f4503e48-6ecd-4e1b-b4aa-0a3780f6d05e · outbound

This paper cites Learning by directional gradient descent.

Learning long range dependencies through time reversal symmetry breaking Learning by directional gradient descent

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.298844Z

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Observation b4c84264-0dbf-4095-8e30-e9b4393c0515 · outbound

This paper cites Can forward gradient match backpropagation? In International Conference on Machine Learning, pages 10249–10264.

Learning long range dependencies through time reversal symmetry breaking Can forward gradient match backpropagation? In International Conference on Machine Learning, pages 10249–10264

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.288970Z

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Observation c48a6307-d456-4c77-9238-99007baa7320 · outbound

This paper cites Fine-tuning language models with just forward passes.

Learning long range dependencies through time reversal symmetry breaking Fine-tuning language models with just forward passes

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.278612Z

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Observation 9eca4ab4-110c-47c1-a2bd-f301f4ad1e45 · outbound

This paper cites A cookbook for hardware-friendly implicit learning on static data.

Learning long range dependencies through time reversal symmetry breaking A cookbook for hardware-friendly implicit learning on static data

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.268582Z

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Observation 6cba4313-f33e-4cf9-bf95-d7867a643109 · outbound

This paper cites Equilibrium propagation: Bridging the gap between energy-based models and backpropagation.

Learning long range dependencies through time reversal symmetry breaking Equilibrium propagation: Bridging the gap between energy-based models and backpropagation

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.258399Z

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Observation b04d74f9-292d-48c4-b345-830fb5531cb0 · outbound

This paper cites Mathematical theory of optimal processes.

Learning long range dependencies through time reversal symmetry breaking Mathematical theory of optimal processes

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.247597Z

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Observation 26e7acba-4e17-4ebe-9966-ea6863428590 · outbound

This paper cites Oscillatory State-Space Models.

Learning long range dependencies through time reversal symmetry breaking Oscillatory State-Space Models

Reference 29

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Observation 8a59e09c-57e0-4faf-be0d-1bb54f72f5ab · outbound

This paper cites Unicornn: A recurrent model for learning very long time dependencies.

Learning long range dependencies through time reversal symmetry breaking Unicornn: A recurrent model for learning very long time dependencies

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.238213Z

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Observation d626989b-5aa5-4faf-87ce-b2eb80003a8c · outbound

This paper cites Neural ordinary differential equations.

Learning long range dependencies through time reversal symmetry breaking Neural ordinary differential equations

Reference 31

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Observation b51d4256-1ee7-40d6-8339-a5bd482a0644 · outbound

This paper cites The Elements of Differentiable Programming.

Learning long range dependencies through time reversal symmetry breaking The Elements of Differentiable Programming

Reference 32

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Observation 822c1b56-b813-4841-8969-fac028c9be71 · outbound

This paper cites Numerical methods for ordinary differential equations.

Learning long range dependencies through time reversal symmetry breaking Numerical methods for ordinary differential equations

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.223289Z

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Observation 9eea6805-7850-4c88-8220-a3237ee893e0 · outbound

This paper cites Log neural controlled differential equations: The lie brackets make a difference.

Learning long range dependencies through time reversal symmetry breaking Log neural controlled differential equations: The lie brackets make a difference

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.440751Z

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Observation 829825ed-2a28-4011-82a7-1250efbe0952 · outbound

This paper cites The UEA multivariate time series classification archive, 2018.

Learning long range dependencies through time reversal symmetry breaking The UEA multivariate time series classification archive, 2018

Reference 35

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Observation 9c115af8-623e-43c2-accf-df8200eddda5 · outbound

This paper cites Deep ppg: Large-scale heart rate estimation with convolutional neural networks.

Learning long range dependencies through time reversal symmetry breaking Deep ppg: Large-scale heart rate estimation with convolutional neural networks

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.213877Z

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Observation ce341d79-4494-4c35-8141-e5422b535a07 · outbound

This paper cites Scaling equilibrium propagation to deep convnets by drastically reducing its gradient estimator bias.

Learning long range dependencies through time reversal symmetry breaking Scaling equilibrium propagation to deep convnets by drastically reducing its gradient estimator bias

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.203791Z

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Observation 8b740734-ad56-408a-a945-5585411066b5 · outbound

This paper cites Symplectic Recurrent Neural Networks.

Learning long range dependencies through time reversal symmetry breaking Symplectic Recurrent Neural Networks

Reference 38

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Observation 87bb92c4-1814-41d6-9bc9-a04042e6453e · outbound

This paper cites Hamiltonian neural networks.Advances in neural information processing systems, 32, 2019.

Learning long range dependencies through time reversal symmetry breaking Hamiltonian neural networks.Advances in neural information processing systems, 32, 2019

Reference 39

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Observation 246a17f6-32de-436f-bd24-25774f7a07d9 · outbound

This paper cites Lagrangian Neural Networks.

Learning long range dependencies through time reversal symmetry breaking Lagrangian Neural Networks

Reference 40

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Observation 4b987e41-7265-481e-bf90-4022177d76e8 · outbound

This paper cites Hamiltonian Generative Networks.

Learning long range dependencies through time reversal symmetry breaking Hamiltonian Generative Networks

Reference 41

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Observation 7fc416e9-53a5-4c0b-9637-6451a319a608 · outbound

This paper cites Hybrid monte carlo.

Learning long range dependencies through time reversal symmetry breaking Hybrid monte carlo

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.471712Z

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Observation a1a24142-14a6-45e2-8852-f290c459249b · outbound

This paper cites Mcmc using hamiltonian dynamics.

Learning long range dependencies through time reversal symmetry breaking Mcmc using hamiltonian dynamics

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.475913Z

Source-reported events for the cited work

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Observation 8ae4701e-9f1d-44f1-b13a-45fae1d4e852 · outbound

This paper cites Magnetic hamiltonian monte carlo.

Learning long range dependencies through time reversal symmetry breaking Magnetic hamiltonian monte carlo

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.177908Z

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Observation d85bf66d-0a09-4479-8e73-216c9c9f545d · outbound

This paper cites Memory-Efficient Optimization with Factorized Hamiltonian Descent.

Learning long range dependencies through time reversal symmetry breaking Memory-Efficient Optimization with Factorized Hamiltonian Descent

Reference 45

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Observation d804dd90-62f2-4172-9334-cf94bde76e5f · outbound

This paper cites Supervised learning in physical networks: From machine learning to learning machines.

Learning long range dependencies through time reversal symmetry breaking Supervised learning in physical networks: From machine learning to learning machines

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.168912Z

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Observation 1ba138ae-54b9-4f85-ac58-417a9863db92 · outbound

This paper cites Holomorphic equilibrium propagation computes exact gradients through finite size oscillations.

Learning long range dependencies through time reversal symmetry breaking Holomorphic equilibrium propagation computes exact gradients through finite size oscillations

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.159805Z

Source-reported events for the cited work

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Observation 992e0393-bc65-4d1c-879a-65e1e12a9527 · outbound

This paper cites Energy-based learning algorithms for analog computing: a comparative study.

Learning long range dependencies through time reversal symmetry breaking Energy-based learning algorithms for analog computing: a comparative study

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.150029Z

Source-reported events for the cited work

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Observation 21704beb-ebea-4c2b-8d93-a2d00a2c60be · outbound

This paper cites Towards training digitally-tied analog blocks via hybrid gradient computation.

Learning long range dependencies through time reversal symmetry breaking Towards training digitally-tied analog blocks via hybrid gradient computation

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.141319Z

Source-reported events for the cited work

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Observation 22384ae5-1439-4722-8685-3c9f5b33aab2 · outbound

This paper cites A Fast Algorithm to Simulate Nonlinear Resistive Networks.

Learning long range dependencies through time reversal symmetry breaking A Fast Algorithm to Simulate Nonlinear Resistive Networks

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.499235Z

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Observation 486773ce-89b3-42e0-86be-8f2b708b168e · outbound

This paper cites Agnostic Physics-Driven Deep Learning.

Learning long range dependencies through time reversal symmetry breaking Agnostic Physics-Driven Deep Learning

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.502663Z

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Observation c359c44c-06d6-4d87-8969-fc6da2d8cf86 · outbound

This paper cites Abreu, I.

Learning long range dependencies through time reversal symmetry breaking Abreu, I

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.132004Z

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Observation cf09e175-9dd8-409c-aca6-87e6ea83f8c4 · outbound

This paper cites SuperMind: A survey of the potential of superconducting electronics for neuromorphic computing.

Learning long range dependencies through time reversal symmetry breaking SuperMind: A survey of the potential of superconducting electronics for neuromorphic computing

Reference 53

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Source-reported events for the cited work

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Observation 9e9f331f-a1c3-447b-b5ae-55a32e26e5af · outbound

This paper cites Grollier, D.

Learning long range dependencies through time reversal symmetry breaking Grollier, D

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.516365Z

Source-reported events for the cited work

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Observation a3e3936e-5030-4dba-b3f8-0244601629d6 · outbound

This paper cites Gaussian Error Linear Units (GELUs), June 2023.

Learning long range dependencies through time reversal symmetry breaking Gaussian Error Linear Units (GELUs), June 2023

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.123311Z

Source-reported events for the cited work

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Observation 064d975d-fdc7-455d-9d8f-86cfc2a51194 · outbound

This paper cites Dauphin, Angela Fan, Michael Auli, and David Grangier.

Learning long range dependencies through time reversal symmetry breaking Dauphin, Angela Fan, Michael Auli, and David Grangier

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.113998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4f3e9b97-45d8-4056-8cff-46661d4e6caf · outbound

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

Learning long range dependencies through time reversal symmetry breaking JAX: composable transformations of Python+NumPy programs, 2018

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.104359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3394f5b6-4b9e-4551-88d8-7968d40f9b73 · outbound

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Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 59

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:47.095267Z

Source-reported events for the cited work

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Observation e8c635e6-033a-4bf8-a790-be7080492034 · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 60

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:47.085661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a314541f-9e4f-441f-9ddb-5595b6e9dddd · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:47.076283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 78fa1190-e579-47a0-a44c-f6c7355f42d0 · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:47.067629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6b1a9a77-e3e0-448b-8720-fe312f563e28 · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:47.058282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f194b62d-77e9-4b9b-ba38-ed417c20d410 · outbound

This paper cites Remark 1.

Learning long range dependencies through time reversal symmetry breaking Remark 1

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.048941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 20e2dd0d-db50-4c9b-89be-f47ffbf7121c · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 65

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:47.039815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0afab395-bec0-4b4b-b052-69b21ce36e0f · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 66

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:47.031017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 97595997-0dca-4ae0-8ac2-246dd4f2b332 · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 67

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:47.021894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8a93b2c8-0a0d-438e-8052-30ca27eb2e2e · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 68

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:47.011810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fda6cf7a-787f-4088-b65a-5bd058539d2b · outbound

This paper cites Note that while we did not assume in the main part of this manuscript that ℓ depended on θ, we assume it in the appendix for the generality of our derivations.

Learning long range dependencies through time reversal symmetry breaking Note that while we did not assume in the main part of this manuscript that ℓ depended on θ, we assume it in the appendix for the generality of our derivations

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:47.002445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 002d4cce-accd-4204-8e06-029dae16e07b · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 70

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:46.993224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f1ee8606-49d7-4f7c-83c7-10cd32878aba · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 71

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:46.983446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f205da30-d0f8-4826-a0c3-07b15efb03ce · outbound

This paper cites Proof of Lemma A.1.

Learning long range dependencies through time reversal symmetry breaking Proof of Lemma A.1

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:46.973953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation eb6aed0c-088d-4cc5-87d0-919f625e6a49 · outbound

This paper cites V and T only depend on ϕ and π respectively: V [Φ, θ, u] = V [ϕ, θ, u], T [Φ, θ, u] = T [π, θ, u].

Learning long range dependencies through time reversal symmetry breaking V and T only depend on ϕ and π respectively: V [Φ, θ, u] = V [ϕ, θ, u], T [Φ, θ, u] = T [π, θ, u]

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:46.963183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 978d1835-7505-4e49-9ed1-b3cf018f1b4c · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 74

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:46.952595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b7b30259-05c7-40cb-8afb-307e7956bc77 · outbound

This paper cites Remark 4.

Learning long range dependencies through time reversal symmetry breaking Remark 4

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:46.943187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ae49b28f-0ca4-4421-9985-2305f0b7f7e8 · outbound

This paper cites an unresolved cited work.

Learning long range dependencies through time reversal symmetry breaking Unresolved cited work

Reference 76

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:29:46.932949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 64afcd7b-7db9-41f8-ae87-b7df8580712f · outbound

This paper cites chain rule.

Learning long range dependencies through time reversal symmetry breaking chain rule

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:46.922756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 473b6529-c0e0-4fed-a184-d236db1bd56d · outbound

This paper cites I − δ2 2 A δ[I − δ2 4 A] −δA I − δ2 2 A # , F k =.

Learning long range dependencies through time reversal symmetry breaking I − δ2 2 A δ[I − δ2 4 A] −δA I − δ2 2 A # , F k =

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:29:46.912078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b7d7f25d-3870-49f9-822b-053ecebccd5a · outbound

This paper cites doi: 10.1016/j.revip.2024.100093.

Learning long range dependencies through time reversal symmetry breaking doi: 10.1016/j.revip.2024.100093

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-07T10:29:46.510227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation f903955e-1bc4-4379-82ce-343c1067b43b · inbound

Equilibrium Propagation for Dissipative Dynamics cites this paper.

Equilibrium Propagation for Dissipative Dynamics Learning long range dependencies through time reversal symmetry breaking

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T22:59:58.728215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6001f196-9f4e-4a12-824a-6a7e822ca087 · 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 Learning long range dependencies through time reversal symmetry breaking

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-22T09:34:46.798945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 78ee6357-725f-41ab-bc4c-cd2af153e0d7 · inbound

Unifying Physical Backpropagation cites this paper.

Unifying Physical Backpropagation Learning long range dependencies through time reversal symmetry breaking

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T00:46:05.805154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.