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Cerebellum-inspired neural network of supervised learning with tensor-based sparse coding for multi-class classification.

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Paper

Loaded from Europe PMC by your browser, not stored by OSCR: doi.org · Europe PMC

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The authors' code

Python · 20 lines · 485 B · MIT

  1. import threading
  2. from benchmark.runner import JobManager
  3. from configs import LOGGER
  4. from utils.argparser import get_args_cli
  5. from utils.helper import UploadS3Thread
  6. def start_s3_sync():
  7. stop_flag = threading.Event()
  8. upload_s3_thread = UploadS3Thread(stop_flag)
  9. upload_s3_thread.start()
  10. if __name__ == "__main__":
  11. arg_dict = get_args_cli()
  12. LOGGER.info('received task with args: %s' % arg_dict)
  13. start_s3_sync()
  14. jm = JobManager(**arg_dict)
  15. jm.start()

app.py at commit b2617bb, under MIT · at the source

Overview

Authors: Runguang Zhou1,2,3, Douglas Zhou1,2,3,4,5, Songting Li1,2,3, Xiaoyu Chen1,2,3
ORCID iDs: Xiaoyu Chen
  1. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, China
  2. Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, China
  3. Ministry of Education Key Laboratory of Scientific and Engineering Computing, Shanghai Jiao Tong University, Shanghai, China
  4. Shanghai Frontier Science Center of Modern Analysis, Shanghai Jiao Tong University, Shanghai, China
  5. State Key Laboratory of Synergistic Chem-Bio Synthesis, Shanghai Jiao Tong University, Shanghai, China
Institutions: Shanghai Jiao Tong University (China)
Journal: PLoS computational biology, volume 22, issue 8, article e1014595
Dates: received 9 March 2026; accepted 19 July 2026; published online 18 August 2026
Type: Research article · Language: English
License: CC BY
Identifiers: DOI 10.1371/journal.pcbi.1014595 · PMID 42611851 · PMCID PMC13485046 · OpenAlex W7203714975
Open access: gold, a free copy (OpenAlex)
Status: code verified
Categories: systems (subfield)
Methods: Connectivity, Single-unit activity, calcium imaging, Machine learning
MeSH: Cerebellum*, Models, Neurological*, Nerve Net*, Neural Networks, Computer*, Supervised Machine Learning*, Animals, Computational Biology, Neuronal Plasticity, Purkinje Cells (* major topic)
Topic: Vestibular and auditory disorders (Neurology, Neuroscience), according to OpenAlex
Funding: Shanghai Municipal Commission of Science and Technology; National Natural Science Foundation of China; Student Innovation Center at Shanghai Jiao Tong University; National Key R&D Program of China
Citations: not cited yet (Europe PMC); 63 references in the paper

Abstract

Under the Marr-Ito-Albus framework, the cerebellum performs supervised learning in Purkinje cells upon the unsupervised sparse representations generated within granule cells, contributing fundamentally to associative learning in motor control. However, the specific mechanisms through which cerebellar circuitry and plasticity rules enable supervised learning, and properties of the sparse coding induced by cerebellar architectural constraints, remain poorly characterized. To address this, we first established a sparse coding mechanism inspired by anatomical and physiological properties of the granular layer, including input-sharing connectivity from mossy fibers, Golgi-cell-mediated localized feedback inhibition for winner-take-all sparsification, and activity-dependent bias adjustments. This sparse coding, implemented via efficient tensor-based computations, preserves local neighborhood structures as revealed in a geometric interpretation. Furthermore, we demonstrated that error signals transmitted via climbing fibers to Purkinje cells, integrated with intrinsic plasticity, drive efficient learning of the sparse representations for multi-class classification, leading to accurate population coding for judgments in the cerebellar nuclei. The resultant cerebellum-inspired neural network model achieved a test accuracy of 90.50±0.10% on Fashion-MNIST, performance comparable to a backpropagation-trained single-hidden-layer feedforward neural network, while providing more than 5× computational acceleration. The model further exhibited proof-of-principle closed-loop control capability in simplified motor tasks, including balancing a cart-attached pole and controlling a robotic arm to reach targets. Our study delineates cerebellum-inspired sparse coding and supervised learning mechanisms, and demonstrates robust performance of the cerebellum-inspired neural network across multiple task domains. These results suggest that cerebellum-inspired architectures would provide useful design principles for lightweight neural networks in resource-limited and latency-critical applications.

Reproduced under the paper's license (CC BY), from the paper cited above.

Repositories

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runguangzhou/Cerebellum-inspired-neural-network

License: none: the authors keep all their rights
State: the link answers, verified on 27 September 2026
Evidence: files inventoried
Commit: 35e8953c429df01ca5bb7746a90d4269c49066c8, 7 August 2026
Size: 3 files
Software Heritage: not archived
Found in: “Data Availability”
Holds: README
Not found: license file, CITATION.cff, environment file, tests, continuous integration, documentation
Availability: 1 check, the latest on 27 September 2026: the link answers
  • 27 September 2026: the link answers
1 file, not copied: shown from their source

OSCR keeps no copy of these files: this repository has no license that allows it. The reader above shows each one from its source, fetched by your browser at commit 35e8953, when its fingerprint is the one OSCR verified. How this works.

  • README.md — Text, 4 lines, shown from its source

zalandoresearch/fashion-mnist

License: MIT
State: the link answers, verified on 27 September 2026
Evidence: files inventoried
Commit: b2617bb6d3ffa2e429640350f613e3291e10b141, 21 March 2022
Languages: Python (11), JavaScript (1)
Size: 51 files, 12 scripts
Software Heritage: archived
Found in: “Data Availability”
Holds: README, license file, environment (Dockerfile, requirements.txt), documentation
Not found: CITATION.cff, tests, continuous integration
Tools: NumPy (5 files), scikit-learn (2 files), TensorFlow (2 files), Matplotlib (1 file)
Availability: 1 check, the latest on 27 September 2026: the link answers
  • 27 September 2026: the link answers
14 files

The paper's code and data availability statement is in the Data section.

Tracing map

Proposed by the machine: these links were found in the paper and verified at the source, without human review. The map will receive a Zenodo DOI once one of the paper's authors has validated it with their ORCID.

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  • 2 repositories of the authors' code, each at its verified commit, with its license and how the link was found in the paper;
  • 12 scripts, each with its path and the digest of its content;
  • no match between paragraphs and code yet;
  • neither the text of the paper nor the code itself.

Its JSON (tracing-map.json) is deposited on Zenodo with its DOI once the map is validated.

Data

No dataset and no data link were found in the paper.

Data Availability

All code used for modeling and plotting is available on a GitHub repository at https://github.com/runguangzhou/Cerebellum-inspired-neural-network. The Fashion-MNIST dataset used in the study is available from https://github.com/zalandoresearch/fashion-mnist. The CIFAR-10 dataset used in the study is available from https://cave.cs.toronto.edu/kriz/cifar.html.

Reproduced under the paper's license (CC BY), from the paper cited above.

Versions

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Version 1, 27 September 2026: the first record

Recorded: type, language, journal, volume, issue, pages, dates, 4 authors, 9 MeSH terms, 4 funders, 56 references.

Cite

This paper

Zhou, R., Zhou, D., Li, S., & Chen, X. (2026). Cerebellum-inspired neural network of supervised learning with tensor-based sparse coding for multi-class classification. PLoS computational biology, 22(8), e1014595. https://doi.org/10.1371/journal.pcbi.1014595

BibTeX

@article{zhou2026cerebellum,
author = {Zhou, Runguang and Zhou, Douglas and Li, Songting and Chen, Xiaoyu},
title = {{Cerebellum-inspired neural network of supervised learning with tensor-based sparse coding for multi-class classification}},
journal = {PLoS computational biology},
year = {2026},
month = aug,
volume = {22},
number = {8},
pages = {e1014595},
publisher = {PLOS},
issn = {1553-734X},
doi = {10.1371/journal.pcbi.1014595},
url = {https://doi.org/10.1371/journal.pcbi.1014595},
pmid = {42611851},
pmcid = {PMC13485046}
}

RIS

TY - JOUR
AU - Zhou, Runguang
AU - Zhou, Douglas
AU - Li, Songting
AU - Chen, Xiaoyu
TI - Cerebellum-inspired neural network of supervised learning with tensor-based sparse coding for multi-class classification
T2 - PLoS computational biology
J2 - PLoS Comput Biol
PY - 2026
DA - 2026/08/18
VL - 22
IS - 8
SP - e1014595
SN - 1553-734X
PB - PLOS
DO - 10.1371/journal.pcbi.1014595
UR - https://doi.org/10.1371/journal.pcbi.1014595
LA - en
ER -

CSL-JSON

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