A1516
Title: Robust hybrid infinite and finite dimensional tensor factorizations
Authors: Jocelyn Chi - University of Minnesota Twin Cities (United States) [presenting]
Eric Chi - University of Minnesota (United States)
Abstract: The canonical polyadic (CP) tensor decomposition represents a multidimensional data array as a sum of rank-one outer products of latent factors. Building on CP-HiFi, the hybrid infinite- and finite-dimensional CP framework, which introduces quasitensors by modeling selected modes as smooth functional factors in a reproducing kernel Hilbert space, the standard least-squares objective is replaced with a quantile-based loss. This modification enables estimation of conditional quantile functions (rather than conditional means) along functional modes. The resulting approach yields a distribution-aware tensor factorization that is robust to outliers and captures heterogeneity beyond the mean structure.
