Quantum information processing exploits the quantum nature of information. It offers
fundamentally new solutions in the field of computer science and extends the possibilities to …

In this survey, we describe the fundamental differential-geometric structures of information
manifolds, state the fundamental theorem of information geometry, and illustrate some use …

The book provides an overview of the most advanced quantum informational geometric
techniques, which can help quantum communication theorists analyze quantum channels …

In this paper, we generalize the notions of centroids (and barycenters) to the broad class of
information-theoretic distortion measures called Bregman divergences. Bregman …

The core vector machine (CVM) is a recent approach for scaling up kernel methods based
on the notion of minimum enclosing ball (MEB). Though conceptually simple, an efficient …

In this paper we explore how the von Neumann entropy can be used as a measure of graph
complexity. We also develop a simplified form for the von Neumann entropy of a graph that …

We present a simple method to approximate the Fisher–Rao distance between multivariate
normal distributions based on discretizing curves joining normal distributions and …

Information theory has proved to be effective for solving many computer vision and pattern
recognition (CVPR) problems (such as image matching, clustering and segmentation …

Popular anonymous communication systems often require sending packets through a
sequence of relays on dilated paths for strong anonymity protection. As a result, increased …

The Voronoi diagram of a finite set of objects is a fundamental geometric structure that
subdivides the embedding space into regions, each region consisting of the points that are …