"This book is the fourth – and final – publication in the TAL project series. This TAL project was initiated by the Dutch Ministry of Education, Culture and Science, with the aim to improve the quality of mathematics education by providing a perspective on didactic goals and learning-teaching trajectories, and on the relationship between them. The focus of this book is on measurement a…
This book brings together historical notes, reviews of research developments, fresh ideas on how to make VC (Vapnik–Chervonenkis) guarantees tighter, and new technical contributions in the areas of machine learning, statistical inference, classification, algorithmic statistics, and pattern recognition. The contributors are leading scientists in domains such as statistics, mathematics, and …
Risk budgeting models set risk diversification as objective in portfolio allocation and are mainly promoted from the asset management industry. Albina Unger examines the portfolios based on different risk measures in several aspects from the academic perspective (Utility, Performance, Risk, Different Market Phases, Robustness, and Factor Exposures) to investigate the use of these models for ass…
This textbook treats two important and related matters in convex geometry: the quantification of symmetry of a convex set—measures of symmetry—and the degree to which convex sets that nearly minimize such measures of symmetry are themselves nearly symmetric—the phenomenon of stability. By gathering the subject’s core ideas and highlights around Grünbaum’s general notion of measure of…
This book provides a thorough overview of cutting-edge research on electronics applications relevant to industry, the environment, and society at large. A wide spectrum of application domains are covered, from automotive to space and from health to security and special attention is devoted to the use of embedded devices and sensors for imaging, communication and control. The book is based on th…
This book brings together research on police integrity on regions worldwide. The results for each country indicate whether police officers know the official rules, how seriously they view police misconduct, what they think the appropriate and expected discipline for misconduct should be, and how willing they are to report it. Police misconduct refers to everything from corruption and use excess…
This book explores the limits of our knowledge. The author shows how uncertainty and indefiniteness not only define the borders confining our understanding, but how they feed into the process of discovery and help to push back these borders. Starting with physics the author collects examples from economics, neurophysiology, history, ecology and philosophy. The first part shows how informatio…
This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operato…
This book discusses the philosophy and educational reforms initiated by Wilhelm von Humboldt as well as their legacy in the modern university system. It begins with a discussion of the history of the university from antiquity and the Middle Ages through the era of Humboldt’s reforms and its remnants in and implications for the present day. The authors then delve into policy, outlining the key…
This book enables readers who may not be familiar with matrices to understand a variety of multivariate analysis procedures in matrix forms. Another feature of the book is that it emphasizes what model underlies a procedure and what objective function is optimized for fitting the model to data. The author believes that the matrix-based learning of such models and objective functions is the fast…