60 citations · 153 across the 26 of their papers we have counts for
4 papers · 1 filter
Stochastic Artificial Potentials for Online Safe Navigation
Santiago Paternain, Alejandro Ribeiro
Consider a convex set of which we remove an arbitrarily number of disjoints convex sets -- the obstacles -- and a convex function whose minimum is the agent's goal. We consider a l…
Prediction-Correction Interior-Point Method for Time-Varying Convex Optimization
Mahyar Fazlyab, Santiago Paternain, Victor M. Preciado +1
In this paper, we develop an interior-point method for solving a class of convex optimization problems with time-varying objective and constraint functions. Using log-barrier penal…
Navigation Functions for Convex Potentials in a Space with Convex Obstacles
Santiago Paternain, Daniel E. Koditschek, Alejandro Ribeiro
Given a convex potential in a space with convex obstacles, an artificial potential is used to navigate to the minimum of the natural potential while avoiding collisions. The artifi…
Online Learning of Feasible Strategies in Unknown Environments
Santiago Paternain, Alejandro Ribeiro
Define an environment as a set of convex constraint functions that vary arbitrarily over time and consider a cost function that is also convex and arbitrarily varying. Agents that…