4 papers
A Numerical Solution to KPD
Daizhan Cheng
A stationary value based algorithm (SVA) is provided to solve the nearest Kronecker product decomposition (KPD) problem of vector form hypermatrices. Using the algorithm successive…
On Dimension-Free Transformer: An Application of STP to AI
Daizhan Cheng
The matrix expressions for every parts of a transformer are firstly described. Based on semi-tensor product (STP) of matrices the hypervectors are reconsidered and the linear trans…
From Signal Space To STP-CS
Daizhan Cheng
Under the assumption that a finite signal with different sampling lengths or different sampling frequencies is considered as equivalent, the signal space is considered as the quoti…
Signal Processing via Cross-Dimensional Projection
Daizhan Cheng
Using projection between Euclidian spaces of different dimensions, the signal compression and decompression become straightforward. This encoding/decoding technique requires no pre…