Frank NIELSEN (PhD'96, HDR'06)
@FrnkNlsn
Blog
ACM SM,
IEEE SM,
ELLIS
Sony CSL
LIX
Main fields of interest:
 Geometric science of information
 Computational information geometry
 Theory of (dis)similarities and aggregators
 Machine learning and artificial intelligence
 Visual computing and computational photography
 Computational mathematics
Editor:

 Publications
 Some introductory and overview papers:
 CramerRao lower bound and information geometry
→ A first read introducing the Fisher information matrix, the CRLB, and the differentialgeometrization of statistics
 An elementary introduction to information geometry
→ Learn what is the fundamental theorem of information geometry!
 Introduction to Bregman manifolds
→ Learn the dually flat spaces of exponential families and mixture families, and the dual generalized Pythagorean theorems
 What is... an information projection?
→ Projection along geodesics, projection as divergence minimization, cases where we have uniqueness of projections
 Slides
and video:
 Five selected publications:
 Bregman Voronoi diagrams, Discrete and Computational Geometry, 2010.
 The BurbeaRao and Bhattacharyya centroids, IEEE Transactions on Information Theory, 2011.
 An informationgeometric characterization of Chernoff information, IEEE Signal Processing Letters, 2013.
 On the chi square and higherorder chi distances for approximating fdivergences, IEEE Signal Processing Letters, 2013.
 Generalized Bhattacharyya and Chernoff upper bounds on Bayes error using quasiarithmetic means, Pattern Recognition Letters, 2014.
 Five selected collaborative publications tackling various applications:
 Some research cards
 Textbooks (AMZ book author web page):
