Hi. In the paper, The adaptive Gaussian kernel was given by $$M(x_i.x_j)=\frac{1}{\sqrt{2\pi(\sigma_i+\sigma_j)}}e^{\left(-\frac{1}{2}\frac{(x_i-x_j)^T(x_i-x_j)}{\sigma_i+\sigma_j}\right)}$$. However, in the script (~/SEACells/build_graph.py), I noted the method constructing affinity kernel matrix is more similar to $$M(x_i,x_j)=e^{(−\frac{|x_i−x_j|^2}{σ_i\cdotσ_j})}$$? So did I misunderstand something about it?
Hi. In the paper, The adaptive Gaussian kernel was given by$$M(x_i.x_j)=\frac{1}{\sqrt{2\pi(\sigma_i+\sigma_j)}}e^{\left(-\frac{1}{2}\frac{(x_i-x_j)^T(x_i-x_j)}{\sigma_i+\sigma_j}\right)}$$ . However, in the script (~/SEACells/build_graph.py), I noted the method constructing affinity kernel matrix is more similar to $$M(x_i,x_j)=e^{(−\frac{|x_i−x_j|^2}{σ_i\cdotσ_j})}$$ ? So did I misunderstand something about it?