We analyze the problem of regression when both input covariates and output responses are functions from a nonparametric function class. Function to function regression (FFR) covers a large range of interesting applications including timeseries prediction problems, and also more general tasks like studying a mapping between two separate types of distributions. However, previous nonparametric est...

Abstractive text summarization is a blossoming area of natural language processing research in which short textual summaries are generated from longer input documents. Existing state-of-the-art methods take long time to train, and are limited to functioning on relatively short input sequences. We evaluate neural network architectures with simplified encoder stages, which naturally support arbit...

The input output map of linear time-continuous systems is investigated. The class of all systems for which the input output map is given by the usual integral is investigated. A complete characterization of this class of systems is given in the paper.

This paper presents a general framework for estimating the state and unknown inputs at level of system subdomain using limited number output measurements, enabling thus component-based vibration monitoring or control providing novel approach to model updating hybrid testing applications. Under premise that dynamics are driven by (i) externally applied (ii) interface forces, with latter represen...