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The forward-forward algorithm: Some preliminary investigations

33 Pith papers cite this work, alongside 118 external citations. Polarity classification is still indexing.

33 Pith papers citing it
118 external citations · Pith
abstract

The aim of this paper is to introduce a new learning procedure for neural networks and to demonstrate that it works well enough on a few small problems to be worth further investigation. The Forward-Forward algorithm replaces the forward and backward passes of backpropagation by two forward passes, one with positive (i.e. real) data and the other with negative data which could be generated by the network itself. Each layer has its own objective function which is simply to have high goodness for positive data and low goodness for negative data. The sum of the squared activities in a layer can be used as the goodness but there are many other possibilities, including minus the sum of the squared activities. If the positive and negative passes could be separated in time, the negative passes could be done offline, which would make the learning much simpler in the positive pass and allow video to be pipelined through the network without ever storing activities or stopping to propagate derivatives.

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representative citing papers

Adaptive directional gradients for parameterised quantum circuits

quant-ph · 2026-06-08 · unverdicted · novelty 8.0

Forward gradient framework for PQCs unifies SPSA and parameter-shift as limits, introduces QUIVER adaptive optimizer with closed-form measurement allocation, and demonstrates efficient training of 60-qubit circuits on ECG5000 and MNIST.

FFR: Forward-Forward Learning for Regression

cs.LG · 2026-06-02 · unverdicted · novelty 7.0

FFR adapts Forward-Forward learning to regression via ordinal competitive goodness, stratified ladder layers, and hierarchical uncertainty-aware prediction, recovering 98.6% of backpropagation accuracy with substantially lower peak memory.

Decentralised AI Training and Inference with BlockTrain

cs.AI · 2026-06-23 · conditional · novelty 6.0

BlockTrain partitions models into block-local diffusion objectives that train near end-to-end WikiText quality with one-block worker memory, real WAN transport, and one-sweep distributed serving.

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Showing 33 of 33 citing papers.