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This book focuses on the application and development of information geometric methods in the analysis, classification and retrieval of images and signals. It provides introductory chapters to help those new to information geometry and applies the theory to several applications. This area has developed rapidly over recent years, propelled by the major theoretical developments in information geometry, efficient data and image acquisition and the desire to process and interpret large databases of digital information. The book addresses both the transfer of methodology to practitioners involved in database analysis and in its efficient computational implementation.
“Two families with ancient wartime secrets collide in this riveting return of the beloved Inspector Green... A beautifully told story.” — IONA WHISHAW, bestselling author of the Lane Winslow Mysteries In the much-anticipated next Inspector Green Mystery, the impetuous Ottawa detective sails headlong into the case of an elderly woman from Ukraine — a perfect whodunit for fans of Louise Penny and Tana French. When Anya Kurchenko, a woman recently arrived in Ottawa from Ukraine, is found murdered in an obscure alleyway, the only clue is a scrap of paper in her pocket with the name “Symkha Grunstein” written in three different alphabets. No such person seems to exist. While the polic...
This book presents advances in matrix and tensor data processing in the domain of signal, image and information processing. The theoretical mathematical approaches are discusses in the context of potential applications in sensor and cognitive systems engineering. The topics and application include Information Geometry, Differential Geometry of structured Matrix, Positive Definite Matrix, Covariance Matrix, Sensors (Electromagnetic Fields, Acoustic sensors) and Applications in Cognitive systems, in particular Data Mining.
This book constitutes the proceedings of the 5th International Conference on Geometric Science of Information, GSI 2021, held in Paris, France, in July 2021. The 98 papers presented in this volume were carefully reviewed and selected from 125 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications. The papers are organized in the following topics: Probability and statistics on Riemannian Manifolds; sub-Riemannian geometry and neuromathematics; shapes spaces; geometry of quantum states; geometric and structure preserving discretizations;...
This gentle introduction to High Performance Computing (HPC) for Data Science using the Message Passing Interface (MPI) standard has been designed as a first course for undergraduates on parallel programming on distributed memory models, and requires only basic programming notions. Divided into two parts the first part covers high performance computing using C++ with the Message Passing Interface (MPI) standard followed by a second part providing high-performance data analytics on computer clusters. In the first part, the fundamental notions of blocking versus non-blocking point-to-point communications, global communications (like broadcast or scatter) and collaborative computations (reduce)...
From the Foreword by Professor Leonidas J. Guibas "Geometry, graphics, and vision all deal in some form with the shape of objects, their motions, as well as the transport of light and its interactions with objects. This book clearly shows how much they have in common and the kinds of synergies that occur when a common core of material is presented in a way that both serves and is enriched by all three disciplines. This book truly establishes bridges where they make the most impact: early on in a student's education. The book can also benefit graduate students and researchers across all parts of computer science that deal with modeling or interacting with the physical world. The material is m...
This volume examines the investigation by the 1975 Senate Select Committee (‘Church Committee’) into US intelligence abuses during the Cold War, and considers its lessons for the current ‘war on terror’. This report remains the most thorough public record of America’s intelligence services, and many of the legal boundaries operating on US intelligence agencies today are the direct result of reforms proposed by the Church Committee, including the Foreign Intelligence Surveillance Act. The Church Committee also drew attention to the importance of constitutional government as a Congressional body overseeing the activities of the Executive branch. Placing the legacy of the Church Committee in the context of the contemporary debate over US national security and democratic governance, the book brings together contributions from distinguished policy leaders and scholars of law, intelligence and political science.
This book focuses on information-geometric manifolds of structured data and models and related applied mathematics. It features new and fruitful interactions between several branches of science: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Statistics on Manifolds, Topology/Machine/Deep Learning and Artificial Intelligence. The selection of applications makes the book a substantial information source, not only for academic scientist but it is also highly relevant for industry. The book project was initiated following discussions at the international conference GSI’2019 – Geometric Science of Information that was held at ENAC, Toulouse (France).
This book constitutes the refereed proceedings of the 4th International Conference on Computer Vision/Computer Graphics Collaboration Techniques, MIRAGE 2009, held in Rocquencourt, France, in May 2009. The 41 revised full papers presented were carefully reviewed and selected from a total of 83 submissions. The papers cover a wide range of topics with focus on Computer Vision/Computer Graphics collaboration techniques involving image analysis/synthesis approaches especially concerning theoretical, computational, experimental or industrial aspects of model-based image analysis and image-based model synthesis.
This Special Issue of the journal Entropy, titled “Information Geometry I”, contains a collection of 17 papers concerning the foundations and applications of information geometry. Based on a geometrical interpretation of probability, information geometry has become a rich mathematical field employing the methods of differential geometry. It has numerous applications to data science, physics, and neuroscience. Presenting original research, yet written in an accessible, tutorial style, this collection of papers will be useful for scientists who are new to the field, while providing an excellent reference for the more experienced researcher. Several papers are written by authorities in the field, and topics cover the foundations of information geometry, as well as applications to statistics, Bayesian inference, machine learning, complex systems, physics, and neuroscience.