A Modified Levenberg-Marquardt Algorithm For Tensor CP Decomposition in Image Compression
A Modified Levenberg-Marquardt Algorithm For Tensor CP Decomposition in Image Compression
This paper proposes a new variant of the Levenberg-Marquardt (LM) algorithm used for third order tensor Canonical Polyadic (CP) decomposition with an emphasis on image compression and reconstruction. The optimization problem related to the CP decomposition can be formulated as follows:\begin{equation*}\mathop {\min }\limits_{{a_r},{b_r},{c_r}} \frac{1}{2}\left\| {{\mathcal{X}} - \sum\limits_{r = 1}^R {{a_r}} …