2 papers
cs.LG2025
Exact Upper and Lower Bounds for the Output Distribution of Neural Networks with Random Inputs
Andrey Kofnov, Daniel Kapla, Ezio Bartocci +1
We derive exact upper and lower bounds for the cumulative distribution function (cdf) of the output of a neural network (NN) over its entire support subject to noisy (stochastic) i…
stat.ME2025
Generalized Multi-Linear Models for Sufficient Dimension Reduction on Tensor Valued Predictors
Daniel Kapla, Efstathia Bura
We consider supervised learning (regression/classification) problems with tensor-valued input. We derive multi-linear sufficient reductions for the regression or classification pro…