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Beyond Backpropagation: Bilevel Optimization Through Implicit Differentiation and Equilibrium Propagation

Date

Date

Date
2022
Journal Article
Published version

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Zucchet, N., & Sacramento, J. (2022). Beyond Backpropagation: Bilevel Optimization Through Implicit Differentiation and Equilibrium Propagation. Neural Computation, 34, 2309–2346. https://doi.org/10.1162/neco_a_01547

Abstract

Abstract

Abstract

This review examines gradient-based techniques to solve bilevel optimization problems. Bilevel optimization extends the loss minimization framework underlying statistical learning to systems that are implicitly defined through a quantity they minimize. This characterization can be applied to neural networks, optimizers, algorithmic solvers, and even physical systems and allows for greater modeling flexibility compared to the usual explicit definition of such systems. We focus on solving learning problems of this kind through gradient

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56 since deposited on 2023-02-24
Acq. date: 2025-11-12

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Creators (Authors)

  • Zucchet, Nicolas
    affiliation.icon.alt
  • Sacramento, João
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
34

Number

Number

Number
12

Page range/Item number

Page range/Item number

Page range/Item number
2309

Page end

Page end

Page end
2346

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

Cognitive Neuroscience, Arts and Humanities (miscellaneous)

Language

Language

Language
English

Publication date

Publication date

Publication date
2022-11-08

Date available

Date available

Date available
2023-02-24

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Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0899-7667

OA Status

OA Status

OA Status
Closed

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PubMed ID

PubMed ID

Metrics

Views

56 since deposited on 2023-02-24
Acq. date: 2025-11-12

Citations

Citation copied

Zucchet, N., & Sacramento, J. (2022). Beyond Backpropagation: Bilevel Optimization Through Implicit Differentiation and Equilibrium Propagation. Neural Computation, 34, 2309–2346. https://doi.org/10.1162/neco_a_01547

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