Universidad Salesiana de Bolivia

This work presents an alternative post-processing approach for optimizing mobile robot trajectories by combining vector quantization techniques with information theory. We developed an algorithm based on Vector Quantization (VQ) and Kullback-Leibler Divergence (VQKL) that maintains the original RRT*'s obstacle avoidance capabilities. When comparing VQKL and VQ with the Ramer-Douglas-Peucker (RDP) algorithm, our methods demonstrate significant superiority: VQ achieves a 13% reduction in path length (versus RDP's 10%) while VQKL achieves 14%, along with an 83% (VQ) and 84% (VQKL) reduction in node count compared to the original RRT* output. These results are obtained through an adaptive optimization process that iteratively adjusts centroids using a progressive annealing scheme. To ensure trajectory feasibility, we implemented a validation system that verifies both geometric deviation from the original path and collision-free operation with obstacles. Extensive simulations across 20 different environments with 100 trials each confirm that our method generates significantly shorter, more efficient, and safer trajectories, establishing a viable alternative for robotic path optimization.

The cultural variety of Bolivian cultural heritage was not officially recognized for a great period of time; therefore, until 2009, education in Bolivia was delivered only in Castilian; indigenous and native people had to get rid or hide their mother tongue if they wanted to acquire education or avoid being discriminated against. This particularity created an environment of discrimination and sentiments of contempt towards native languages. Nowadays, however, the new Political Constitution of Bolivia and its Educational bill recognize and promote native languages as a language of instruction along with Castilian and a foreign language, though with huge challenges to achieve the ideal. This article highlights the importance to native languages and educating the pupils in the same language in order to make them aware of the richness of heritage and tradition. It also argues that educating in native languages gives respectability to the particular language.