Publication: Beyond Backpropagation: Bilevel Optimization Through Implicit Differentiation and Equilibrium Propagation
Beyond Backpropagation: Bilevel Optimization Through Implicit Differentiation and Equilibrium Propagation
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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
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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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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