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Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks

As of 9 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 0 inbound Pith citation observations for arXiv:2607.26483.

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2607.26483 v1

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Outbound references

Observation 80e6e030-0d9d-4e66-b53b-8869009d00f7 · outbound

This paper cites Stochastic resonance.Reviews of Modern Physics, 70:223–287, 1998.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Stochastic resonance.Reviews of Modern Physics, 70:223–287, 1998

Reference 1

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This paper cites Stochastic resonance and sensory information processing: a tutorial and review of application.Clinical Neurophysiology, 115(2):267–281, 2004.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Stochastic resonance and sensory information processing: a tutorial and review of application.Clinical Neurophysiology, 115(2):267–281, 2004

Reference 2

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This paper cites Fiete and H.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Fiete and H

Reference 3

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This paper cites Fiete, Michale S.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Fiete, Michale S

Reference 4

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This paper cites Probabilistic inference in general graphical models through sampling in stochastic networks of spiking neurons.PLoS Computational Biology, 7(12):e1002294, 2011.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Probabilistic inference in general graphical models through sampling in stochastic networks of spiking neurons.PLoS Computational Biology, 7(12):e1002294, 2011

Reference 5

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This paper cites Neural variability and sampling-based probabilistic representations in the visual cortex.Neuron, 92(2):530–543, 2016.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Neural variability and sampling-based probabilistic representations in the visual cortex.Neuron, 92(2):530–543, 2016

Reference 6

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This paper cites Aldo Faisal, Luc P.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Aldo Faisal, Luc P

Reference 7

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This paper cites McDonnell and Lawrence M.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks McDonnell and Lawrence M

Reference 8

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This paper cites Noise-modulated neural networks as an ap- plication of stochastic resonance.Neurocomputing, 277:29 – 37, 2018.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Noise-modulated neural networks as an ap- plication of stochastic resonance.Neurocomputing, 277:29 – 37, 2018

Reference 9

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This paper cites Noise-modulated neural networks for selectively functionalizing sub-networks by exploiting stochastic resonance.Neurocomputing, 448:1–9, 2021.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Noise-modulated neural networks for selectively functionalizing sub-networks by exploiting stochastic resonance.Neurocomputing, 448:1–9, 2021

Reference 10

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This paper cites Spatial Partial Functionalization of Neural Networks based on Noise Fields.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Spatial Partial Functionalization of Neural Networks based on Noise Fields

Reference 11

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This paper cites Neftci, Hesham Mostafa, and Friedemann Zenke.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Neftci, Hesham Mostafa, and Friedemann Zenke

Reference 12

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Observation 277a9a1d-ef23-4543-87f9-a6bbfb2cf41e · outbound

This paper cites Neftci, Charles Augustine, Somnath Paul, and Georgios Detorakis.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Neftci, Charles Augustine, Somnath Paul, and Georgios Detorakis

Reference 13

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This paper cites Learning without feedback: Fixed random learning signals allow for feedforward training of deep neural networks.Frontiers in Neuroscience, 15, 2021.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Learning without feedback: Fixed random learning signals allow for feedforward training of deep neural networks.Frontiers in Neuroscience, 15, 2021

Reference 14

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This paper cites Lillicrap, Adam Santoro, Luke Marris, Colin J.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Lillicrap, Adam Santoro, Luke Marris, Colin J

Reference 15

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Observation 4a67cc81-5270-4d4e-88df-5786d148fd88 · outbound

This paper cites The recent excitement about neural networks.Nature, 337:129–132, 1989.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks The recent excitement about neural networks.Nature, 337:129–132, 1989

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This paper cites Lillicrap, Daniel Cownden, Douglas B.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Lillicrap, Daniel Cownden, Douglas B

Reference 17

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This paper cites Direct feedback alignment provides learning in deep neural networks.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Direct feedback alignment provides learning in deep neural networks

Reference 18

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Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Kolen and J.B

Reference 19

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This paper cites Humphreys, Timothy Lillicrap, and Douglas Tweed.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Humphreys, Timothy Lillicrap, and Douglas Tweed

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Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Unresolved cited work

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This paper cites The mechanism of stochastic resonance.Jour- nal of Physics A: Mathematical and general, 14:453–457, 1981.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks The mechanism of stochastic resonance.Jour- nal of Physics A: Mathematical and general, 14:453–457, 1981

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Observation ed1cb57a-9f3b-4dfc-869c-522247a5e830 · outbound

This paper cites Stochastic resonance in climatic change.Tellus, 34(1):10–15, 1982.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Stochastic resonance in climatic change.Tellus, 34(1):10–15, 1982

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Observation fa7e60a6-8d27-4422-a5a7-fb10552b6aa7 · outbound

This paper cites Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs.Nature, 373(6509):33–36, 1995.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs.Nature, 373(6509):33–36, 1995

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This paper cites What is stochastic resonance? definitions, misconceptions, debates, and its relevance to biology.PLoS Computational Biology, 5(5):e1000348, 2009.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks What is stochastic resonance? definitions, misconceptions, debates, and its relevance to biology.PLoS Computational Biology, 5(5):e1000348, 2009

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Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Douglass, L

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Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Levin and J.P

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Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Collins, Thomas T

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This paper cites Interpreting neural response variability as monte carlo sampling of the posterior.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Interpreting neural response variability as monte carlo sampling of the posterior

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Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Haefner, Pietro Berkes, and J´ ozsef Fiser

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This paper cites Spontaneous cortical activity reveals hallmarks of an optimal internal model of the environment.Science, 331(6013):83–87, 2011.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Spontaneous cortical activity reveals hallmarks of an optimal internal model of the environment.Science, 331(6013):83–87, 2011

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This paper cites Neural dynamics as sampling: A model for stochastic computation in recurrent networks of spiking neurons.PLOS Computational Biology, 7(11):e1002211, 2011.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Neural dynamics as sampling: A model for stochastic computation in recurrent networks of spiking neurons.PLOS Computational Biology, 7(11):e1002211, 2011

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Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Unresolved cited work

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This paper cites Dropout: A simple way to prevent neural networks from overfitting.Journal of Machine Learning Research, 15(56):1929–1958, 2014.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Dropout: A simple way to prevent neural networks from overfitting.Journal of Machine Learning Research, 15(56):1929–1958, 2014

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This paper cites Adding Gradient Noise Improves Learning for Very Deep Networks.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Adding Gradient Noise Improves Learning for Very Deep Networks

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Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Networks of spiking neurons: The third generation of neural network models

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Observation 6b55fb39-6500-4df6-95ce-687ce8b4b84d · outbound

This paper cites Training deep spiking neural networks using backpropagation.Frontiers in Neuroscience, 10, 2016.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Training deep spiking neural networks using backpropagation.Frontiers in Neuroscience, 10, 2016

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Observation b2e4549c-627c-4f34-be1c-3cacf29c07c5 · outbound

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Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Unresolved cited work

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Observation 0a685f32-9a74-4580-a595-a1667ba1aafa · outbound

This paper cites Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computation.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computation

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Observation 9733a8a3-c331-48da-a269-286223286cc2 · outbound

This paper cites Optimal spike-timing- dependent plasticity for precise action potential firing in supervised learning.Neural Computation, 18:1318–1348, 2006.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Optimal spike-timing- dependent plasticity for precise action potential firing in supervised learning.Neural Computation, 18:1318–1348, 2006

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Observation c9d98951-3e75-4123-80f6-f23b4c66850c · outbound

This paper cites Stochastic variational learning in recurrent spiking networks.Frontiers in Computational Neuroscience, 8, 2014.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Stochastic variational learning in recurrent spiking networks.Frontiers in Computational Neuroscience, 8, 2014

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Observation 86df4cd8-1af9-4f66-9283-242c7824c872 · outbound

This paper cites an unresolved cited work.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Unresolved cited work

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Observation 7a65b618-a4c2-4fde-8cfc-602b23032a95 · outbound

This paper cites Two routes to scalable credit assignment without weight symmetry.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Two routes to scalable credit assignment without weight symmetry

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Observation 10451c3d-0354-4b44-8913-83ae9eeb1369 · outbound

This paper cites How Auto-Encoders Could Provide Credit Assignment in Deep Networks via Target Propagation.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks How Auto-Encoders Could Provide Credit Assignment in Deep Networks via Target Propagation

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Observation e43dc4db-0c48-4b2c-9b0e-b93131a688fe · outbound

This paper cites Difference target propagation.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Difference target propagation

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source=pdf_text observed=2026-08-01T14:54:26.980652Z digest=sha256:2048bd499b796bdfc50b4827c1061742e172bc90de10929798688a26d7806373

Observation b6406297-9eb1-4a99-9dc4-97c2a9126932 · outbound

This paper cites Towards scaling difference target propagation by learning backprop targets.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Towards scaling difference target propagation by learning backprop targets

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source=pdf_text observed=2026-08-01T14:54:27.143352Z digest=sha256:59575a4fb6ff9064cf8574986b37906e69ffdcfffe1f07352613a845b50407b0

Observation 59da388a-f012-4c46-92c1-a4e36328588b · outbound

This paper cites Equilibrium propagation: Bridging the gap between energy- based models and backpropagation.Frontiers in Computational Neuroscience, 11, 2017.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Equilibrium propagation: Bridging the gap between energy- based models and backpropagation.Frontiers in Computational Neuroscience, 11, 2017

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Observation 2854b161-3e2a-474f-977e-5e30c578b18b · outbound

This paper cites Whittington and Rafal Bogacz.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Whittington and Rafal Bogacz

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Observation e9e40519-680b-4cdf-915a-49ad28b3481d · outbound

This paper cites Leibo, and Tomaso Poggio.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Leibo, and Tomaso Poggio

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Observation 1d1f0d0d-36b7-48cc-9877-168523b1813a · outbound

This paper cites Biologically-plausible learning algorithms can scale to large datasets.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Biologically-plausible learning algorithms can scale to large datasets

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Observation 58026177-d343-4649-9630-f9f2f9993587 · outbound

This paper cites Sebastian Seung.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Sebastian Seung

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Observation ef8932a4-c8b6-400a-91f8-fe0a884d611e · outbound

This paper cites Williams.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Williams

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source=pdf_text observed=2026-08-01T14:54:28.039898Z digest=sha256:8e32f74d9d6bda1555a67e41e37142f9b5a846d761e3abd63398b1bb9fd64555

Observation b3b18939-7876-4a58-ba79-5f313db9355a · outbound

This paper cites Gradients without Backpropagation.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Gradients without Backpropagation

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Observation dd043f75-edfb-423d-9a77-8ab8379d0d0e · outbound

This paper cites Scaling forward gradient with local losses.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Scaling forward gradient with local losses

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Observation 96aa1ca4-66fd-4062-8246-86a9058b7830 · outbound

This paper cites The Forward-Forward Algorithm: Some Preliminary Investigations.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks The Forward-Forward Algorithm: Some Preliminary Investigations

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source=pdf_text observed=2026-08-01T14:54:28.403958Z digest=sha256:a6002437a05e6d19c460b21d642311b21b630abde5a1b1e200865b11107f0b1b

Observation cc45b434-7757-45ad-89d4-697918f7ad00 · outbound

This paper cites Error-driven input modulation: Solving the credit as- signment problem without a backward pass.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Error-driven input modulation: Solving the credit as- signment problem without a backward pass

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source=pdf_text observed=2026-08-01T14:54:28.524175Z digest=sha256:9594e6b2eceb6117d885d8556efc9404fa282907ee71d8b99976521976533529

Observation 70ea3c4b-0798-47eb-87eb-f920648be265 · outbound

This paper cites Training neural networks with local error signals.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Training neural networks with local error signals

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source=pdf_text observed=2026-08-01T14:54:28.645847Z digest=sha256:4efec9c244f7d43c895aeef4ff526ab2498f7a6b5f249ae6e6da8e819bbfbc6a

Observation 49aacca7-185e-45c3-8c7d-b62afd3b7c59 · outbound

This paper cites Greedy layerwise learning can scale to ImageNet.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Greedy layerwise learning can scale to ImageNet

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Observation 448ed162-7ba1-4229-ad0b-815d438f6a0f · outbound

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

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks A solution to the learning dilemma for recurrent networks of spiking neurons

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source=pdf_text observed=2026-08-01T14:54:28.949660Z digest=sha256:bf55f440cd4f80d9a0e877299de7335b4f76c2caa69ae7e78c12587164c092c5

Observation 23ff19f3-a10f-4641-9789-55710232ce35 · outbound

This paper cites On the stability and scalability of node perturbation learning.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks On the stability and scalability of node perturbation learning

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source=pdf_text observed=2026-08-01T14:54:29.099012Z digest=sha256:24a74819edce7b01e2ae1afefb8f3659d360994671ba5de669f5f0b36aeee777

Observation aa55eab0-d274-4955-a7de-e845f6e1f449 · outbound

This paper cites Assessing the scalability of biologically-motivated deep learning algorithms and architectures.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Assessing the scalability of biologically-motivated deep learning algorithms and architectures

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Observation 79849949-7874-4525-8ba9-83004a435198 · outbound

This paper cites Feedback alignment in deep convolutional networks.

Reconstructing Backpropagation from Forward Fluctuations in Noise-modulated Neural Networks Feedback alignment in deep convolutional networks

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