Abstract: Variational autoencoders (VAEs) have been widely used for node clustering, with existing methods mainly focusing on enhancing the expressiveness of their latent space. Recently, the ...

Abstract: Engineering design is a complex process that involves balancing various performance trade-offs, requiring both the expertise of skilled designers and significant costs. In recent years, the ...

# run our diffusion model (iterative difference equation) with initial concentration of 10, for 8 timestep (size 1m), and 10 space steps (size 1s) # using diffusion parameters 0.5 s/m2, 10 m2 result < ...

Let \(p_0\) be the law we want to sample and let \(p_1\) be a law from which sampling is easy. The problem is to start from \(X_1\sim p_1\) and construct a reverse-time dynamics that ends at \(p_0\).