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. 2021 Jul 7;118(28):e2015851118. doi: 10.1073/pnas.2015851118

Table 3.

Video experiment results

t-SVDMII Matrix tr-HOSVD
γ1=.998 γ1 CR (m,k2,n) (k1,k2,k2)
CR 4.76 1.83 4.76 4.95 4.90
RE 0.044 0.045 0.093 0.098 0.065
γ2=.996 γ1 CR (m,k2,n) (k1,k2,k2)
CR 10.10 2.54 10.87 10.75 10.42
RE 0.063 0.064 0.120 0.125 0.090

Matrix-based compression can be for predefined relative energy γ (which affects RE) or set to achieve desired compression, so we performed both. For experiment 1 with γ1, the k2 and (k1,k2,k3) values that gave the same compression results were 25 and (92, 69, 69), respectively; for the second experiment these were 11 and (70, 53, 53), respectively. Truncations for the matrix case were 65 and 25 for the γ1 experiment and 47 and 11 for the second.