Persistent homology is the mathematical core of recent work on shape, including reconstruction, recognition, and matching. Its pertinent information is encapsulated by a pairing o...
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy...
In this paper, we initiate the study of the approximability of the facility location problem in a distributed setting. In particular, we explore a trade-off between the amount of...
We address the problem of lowering the buyer’s expected payments in shortest path auctions, where the buyer’s goal is to purchase a path in a graph in which edges are owned by...
In this paper, we consider energy-efficient gathering of correlated data in sensor networks. We focus on single-input coding strategies in order to aggregate correlated data. For ...
Inference of topological and geometric attributes of a hidden manifold from its point data is a fundamental problem arising in many scientific studies and engineering application...