# Low-Rate Non-Intrusive Load Disaggregation with Graph Shift Quadratic Form Constraint
## 3 Experiment and Results
### Experimental Results and Discussion
It further illustrates that Step 2 simultaneously reduces the \(FP\) and \(FN\) events that occurred in Step 1 by using the SA algorithm to refine the results. Then, we observe that although the GLQF-APD algorithm (Solution 1 and Solution 2) produces a relatively high precision, it leads to significantly worse recall and \(F\)-measure performance than the GSQF-APD algorithm, especially for the low power appliances, for instance, lighting. In addition, note that for the GLQF-APD algorithm, the recall does not improve in Solution 2 compared with Solution 1, which indicates that the \(FN\) events are not decreased. Overall, our proposed GSQF-APD shows that average \(F\)-measure value for House 2 is 0.87, which is better than the GLQF-APD approach that shows \(F\) = 0.75 for the same house. Thus, we can conclude that the proposed method is more accurate than GLQF-APD in classification. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline  & **Algorithm** & & **Metric** & **MW** & **DW** & **KO2** & **KO1** & **ST** & **REFR** & **LT** \\ \hline \multirow{2}{*}{GLQF-APD} & Solution 1 & (I) & \multirow{2}{*}{\(P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} \\ \cline{3-3} \cline{8-11}  & Solution 2 & (II) & & & & & & & & & \\ \hline \multirow{2}{*}{GSQF-APD} & Step 1 & (III) & \multirow{2}{*}{\(P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} \\ \cline{3-3} \cline{8-11}  & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} \\ \cline{3-3} \cline{8-11}  & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\) (\%)} & \multirow{2}{*}{\(\Delta P_{c}/P_{c}\)  
Estimating the percentage of contribution in the total energy consumption or the power usage of each appliance is also an important aspect that has received much attention. Therefore, in the second section, we analyze the _PCEC_ value obtained by GSQF-APD and GLQF-APD. Figure 5 presents the _PCEC_ metric of each appliance in House 1, 2 and 6 during two typical days of testing, where the left, middle, and right groups represent House 1, 2 and 6, respectively. In each group, there are three columns. The first one is the actual energy consumption contribution for each appliance in the whole home, while the last two are _PCEC_ of all the appliances estimated by GSQF-APD and GLQF-APD. Note that baseload refers to the relatively small power produced by other devices (except the main type of appliance) on each circuit, which are characterized with constant opening over a long period of time.