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The Cascaded Forward Algorithm for Neural Network Training

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arxiv 2303.09728 v3 pith:UYDPYLTC submitted 2023-03-17 cs.CV

classification cs.CV
keywords algorithmcascadedframeworklearningneuralbackpropagationbeenblock
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Backpropagation algorithm has been widely used as a mainstream learning procedure for neural networks in the past decade, and has played a significant role in the development of deep learning. However, there exist some limitations associated with this algorithm, such as getting stuck in local minima and experiencing vanishing/exploding gradients, which have led to questions about its biological plausibility. To address these limitations, alternative algorithms to backpropagation have been preliminarily explored, with the Forward-Forward (FF) algorithm being one of the most well-known. In this paper we propose a new learning framework for neural networks, namely Cascaded Forward (CaFo) algorithm, which does not rely on BP optimization as that in FF. Unlike FF, our framework directly outputs label distributions at each cascaded block, which does not require generation of additional negative samples and thus leads to a more efficient process at both training and testing. Moreover, in our framework each block can be trained independently, so it can be easily deployed into parallel acceleration systems. The proposed method is evaluated on four public image classification benchmarks, and the experimental results illustrate significant improvement in prediction accuracy in comparison with the baseline.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. What Does Goodness Measure? A Likelihood-Ratio Account of Forward-Forward Learning

    cs.LG 2026-07 conditional novelty 7.0 of 10

    Squared Forward-Forward goodness is the likelihood-ratio statistic for zero-mean populations differing in scale; anisotropic and heavy-tailed cases yield Mahalanobis and saturating (divisive-normalization) forms.

  2. Energy-Efficient Supervised Learning with a Binary Stochastic Forward-Forward Algorithm

    cs.LG 2025-07 conditional novelty 6.0 of 10

    Binary stochastic forward-forward training reaches near-real-valued forward-forward accuracy on image benchmarks while estimating 10-100x energy savings in p-bit hardware.

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