New Releases by . Ay

. Ay is the author of Information Geometry (2017), A Cosmic Dance and Mike v2.0.

3 results found

Information Geometry

release date: Aug 25, 2017
Information Geometry
The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental geometric objects, which can be both finite or infinite dimensional. Based on these models, canonical tensor fields are introduced and further studied, including the Fisher metric and the Amari-Chentsov tensor, and embeddings of statistical manifolds are investigated. This novel foundation then leads to application highlights, such as generalizations and extensions of the classical uniqueness result of Chentsov or the Cramér-Rao inequality. Additionally, several new application fields of information geometry are highlighted, for instance hierarchical and graphical models, complexity theory, population genetics, or Markov Chain Monte Carlo. The book will be of interest to mathematicians who are interested in geometry, information theory, or the foundations of statistics, to statisticians as well as to scientists interested in the mathematical foundations of complex systems.

A Cosmic Dance

A Cosmic Dance
Something odd is happening in the galaxy. For Angie, a young lieutenant serving at Landbase Rozari, the stars have come out of alignment while the planet has grown unseasonably cold. Back in space aboard the S/S Discovery, a strange skin affliction is paralyzing practically the entire crew, or at least those who are mostly human. In the meantime, Captain Amyr is suffering from a massive headache, which is not related to Sandy’s indecisiveness about their upcoming nuptials, and whether or not they’ll actually take place. Strangest of all, half a quadrant away, Sandy’s mother, Captain Jill is determined to renew her relationship with her one-time flame, Sandy’s father, Lance. Will Jill win Lance’s heart once again? Will Sandy finally don her ring and say I do? And, will Amyr conquer his headache in time to save Planet Rozari before it spirals out of orbit and across the galactic divide?

Mike v2.0

Mike v2.0
Let''s face it, Mike is a loser. Despite being born with the proverbial silver spoon, he''s a failure at just about everything. After being hit in the head with a baseball, Mike wakes up unable to see, prompting his grandfather, Steve to take him across the stars in search of cure. However, Mike and Steve end up finding something more than just Mike''s lost sight, something that will turn Mike into a king.


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