Table 2 Notations used in the proposed System.
Symbol | Description |
|---|---|
\(\:I\left(x,y,\lambda\:\right)\) | Input image where \(\:x\) and \(\:y\) represent spatial dimensions, and \(\:\lambda\:\) is the wavelength. |
\(\:{I}_{filtered}\left(x,y\right)\) | Pre-processed (filtered) image after noise reduction. |
\(\:G\left(u,v\right)\) | Gaussian kernel used for noise reduction. |
\(\:k\) | Kernel size for the Gaussian filter. |
\(\:{F}_{i,j}^{l}\) | Feature map at position \(\:i,j\) in the \(\:i\) -th CNN layer. |
\(\:{W}_{m,n}^{l}\) | Weights of the convolution kernel in the \(\:l\) -th CNN layer. |
\(\:{b}^{l}\) | Bias term in the \(\:l\) -th CNN layer. |
\(\:\sigma\:\) | Activation function (e.g., ReLU). |
\(\:Q,K,V\) | Query, key, and value matrices used in the Transformer attention mechanism. |
\(\:{d}_{k}\) | Dimension of the key vectors in the attention mechanism. |
\(\:Attention\left(Q,K,V\right)\) | Attention output combining query, key, and value matrices. |
\(\:{z}_{c}\) | Logit (raw output) for class \(\:c\). |
\(\:p\left(C=c|F\right)\) | Â |
\(\:\widehat{C}\) | Predicted class based on the highest probability. |
\(\:S\left(t\right)\) | Sensor data at time \(\:t\), consisting of readings \(\:\left\{{s}_{1}\left(t\right),{s}_{2}\left(t\right),\dots\:,{s}_{n}\left(t\right)\right\}\) |
\(\:{s}_{i}\left(t\right)\) | Reading from the\(\:\:i\) -th sensor at time \(\:t\). |
\(\:D\left(x,y\right)\) | Disease severity at spatial location \(\:\left(x,y\right)\). |
\(\:{d}_{i}\) | Disease intensity at the \(\:i\) -th data point. |
\(\:{w}_{i}\) | Interpolation weight for the \(\:i\) -th data point. |
\(\:N\) | Total number of data points used in spatial interpolation. |