Susana Lopez-Moreno

1 Introduction A tensor is a multilinear map and, equivalently, a multidimensional array once a basis is fixed for each vector space on which the multilinear map is defined. In the case of linear maps, the corresponding array is a matrix. In the case of bilinear maps, the corresponding array is three-dimensional. If the dimension of the corresponding multidimensional array is d $$ d $$ , then we say that it is a d $$ d $$ -th order tensor. For example, a bilinear map is a third-order tensor.

[Submitted on 11 Jul 2025] Title:Adaptive Nonlinear Vector Autoregression: Robust Forecasting for Noisy Chaotic Time Series View a PDF of the paper titled Adaptive Nonlinear Vector Autoregression: Robust Forecasting for Noisy Chaotic Time Series, by Azimov Sherkhon and 4 other authors View PDF HTML (experimental) Abstract:Nonlinear vector autoregression (NVAR) and reservoir computing (RC) have shown promise in forecasting chaotic dynamical systems, such as the Lorenz-63 model and El...