The Hessian bulk consists of weakly broken continuous symmetries of the network parametrization, exact zeros in linear nets that ReLU lifts as pseudo-Goldstone modes whose eigenvectors stay in the symmetry subspace.
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3 Pith papers cite this work. Polarity classification is still indexing.
representative citing papers
Single-electron and single-photon stochastic physical neural networks achieve over 97% MNIST test accuracy when trained with empirical outputs in the backward pass using few trials per layer.
A hybrid classical-quantum scheme compresses and disentangles bottleneck layers of pre-trained neural networks into MPO form for execution on quantum devices, validated via proof-of-concept on MNIST and CIFAR-10 image classification.
citing papers explorer
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Explaining Near-Zero Hessian Eigenvalues Through Approximate Symmetries in Neural Networks
The Hessian bulk consists of weakly broken continuous symmetries of the network parametrization, exact zeros in linear nets that ReLU lifts as pseudo-Goldstone modes whose eigenvectors stay in the symmetry subspace.
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Training single-electron and single-photon stochastic physical neural networks
Single-electron and single-photon stochastic physical neural networks achieve over 97% MNIST test accuracy when trained with empirical outputs in the backward pass using few trials per layer.
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Classical Neural Networks on Quantum Devices via Tensor Network Disentanglers: A Case Study in Image Classification
A hybrid classical-quantum scheme compresses and disentangles bottleneck layers of pre-trained neural networks into MPO form for execution on quantum devices, validated via proof-of-concept on MNIST and CIFAR-10 image classification.