3 papers
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…
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.CO2021
Fusing Sufficient Dimension Reduction with Neural Networks
Daniel Kapla, Lukas Fertl, Efstathia Bura
We consider the regression problem where the dependence of the response Y on a set of predictors X is fully captured by the regression function E(Y | X)=g(B'X), for an unknown func…