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cond-mat.dis-nn2025
Are Neural Networks Collision Resistant?
Marco Benedetti, Andrej Bogdanov, Enrico M. Malatesta +5
When neural networks are trained to classify a dataset, one finds a set of weights from which the network produces a label for each data point. We study the algorithmic complexity…
cond-mat.dis-nn2025
Overlap Gap and Computational Thresholds in the Square Wave Perceptron
Marco Benedetti, Andrej Bogdanov, Enrico M. Malatesta +5
Square Wave Perceptrons (SWPs) form a class of neural network models with oscillating activation function that exhibit intriguing ``hardness'' properties in the high-dimensional li…
stat.CO2025
Adaptive Robustness of Hypergrid Johnson-Lindenstrauss
Andrej Bogdanov, Alon Rosen, Neekon Vafa +1
Johnson and Lindenstrauss (Contemporary Mathematics, 1984) showed that for , a scaled random projection from to is an approximate…