Topological trajectory classification with filtrations of simplicial complexes and persistent homology

Gaussian Processes for Data-Efficient Learning in Robotics and Control

(2015) Marc Peter Deisenroth et al.   IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Confidence sets for persistence diagrams

(2014) Brittany Terese Fasy et al.   ANNALS OF STATISTICS

Invariants for homology classes with application to optimal search and planning problem in robotics

(2013) Subhrajit Bhattacharya et al.   ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE

Probabilistically safe motion planning to avoid dynamic obstacles with uncertain motion patterns

(2013) Georges S. Aoude et al.   AUTONOMOUS ROBOTS

A Human-Aware Manipulation Planner

(2012) E. A. Sisbot et al.   IEEE Transactions on Robotics

Toward a deeper understanding of motion alternatives via an equivalence relation on local paths

(2011) Ross A Knepper et al.   INTERNATIONAL JOURNAL OF ROBOTICS RESEARCH

Sampling-based algorithms for optimal motion planning

(2011) Sertac Karaman et al.   INTERNATIONAL JOURNAL OF ROBOTICS RESEARCH

Fast construction of the Vietoris-Rips complex

(2010) Afra Zomorodian   COMPUTERS & GRAPHICS-UK

Sampling-Based Path Planning on Configuration-Space Costmaps

(2010) Léonard Jaillet et al.   IEEE Transactions on Robotics

Topology and data

(2009) Gunnar Carlsson   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Finding the Homology of Submanifolds with High Confidence from Random Samples

(2008) Partha Niyogi et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Path Deformation Roadmaps: Compact Graphs with Useful Cycles for Motion Planning

(2008) Léonard Jaillet et al.   INTERNATIONAL JOURNAL OF ROBOTICS RESEARCH