Improving Configuration Space Reconstruction through Multimodal Generative Models with Local Critics

This paper presents a novel method that utilizes Wasserstein Generative Adversarial Networks (WGANs) with Gradient Penalty (GP) to approximate the distribution of the free conditioned configuration space. Our proposed approach involves conditioning the WGAN-GP with a Variational AutoEncoder in a continuous latent space to handle multimodal datasets. However, training a Variational Auto-Encoder with WGAN-GP can be challenging for image-to-configuration-space problems, as the Kullback-Leibler loss function often converges to a random distribution. To overcome this issue, we simplify the configuration space as a set of Gaussian distributions and divide the dataset into several local models. This enables us to not only learn the model but also speed up its convergence. Our experiments show promising results for approximating the configuration space of unknown scenes. The proposed method is a step toward our goal of accelerating path planning tasks in unknown scenes with obstacles.