3 papers
eess.SY2026
Semi-Tensor-Product Based Convolutional Neural Networks
Daizhan Cheng, Xiao Zhang
The semi-tensor product of vectors generalizes the conventional inner product, enabling algebraic operations between vectors of different dimensions. Building upon this foundation,…
math.RA2026
Cross-Dimensional Mathematics: A Foundation For STP/STA
Daizhan Cheng
A new mathematical structure, called the cross-dimensional mathematics (CDM), is proposed. The CDM considered in this paper consists of three parts: hyper algebra, hyper geometry,…
math.NA2025
Universal Solution to Kronecker Product Decomposition
Daizhan Cheng
This paper provides a general solution for the Kronecker product decomposition (KPD) of vectors, matrices, and hypermatrices. First, an algorithm, namely, monic decomposition algor…