A Method for Extracting High-Quality Core Data from Edge Computing Nodes

Algorithm 2

Lanczos-based incremental high-order singular value decomposition.

Input: Raw tensor, apply the LHOSVD method to to get , ,, and incremental tensor ;

Output: Updated core tensor , orthogonal matrix ;

Expand the original tensor and the new tensor to the same dimension

Perform mode expansion on the new incremental tensor to obtain a mode expansion matrix

Map matrix to the left singular matrix of the original tensor expansion matrix

for

(a)

(b)

(c) Calculate the unit orthogonal matrix of to get

(d) Combine the matrix with the matrix to find the singular value decomposition result of , ,

Let , , update Combine the original tensor with the new incremental tensor

into a tensor using equation (5)

return core tensorreturn and orthogonal matrix