Найти книгу: "Recursivity and Contingency"

Explores regular structures in graphs and contingency tables by spectral theory and statistical methods This book bridges the gap between graph theory and statistics by giving answers to the demanding questions which arise when statisticians are confronted with large weighted graphs or rectangular arrays. Classical and modern statistical methods applicable to biological, social, communication networks, or microarrays are presented together with the theoretical background and proofs. This book is suitable for a one-semester course for graduate students in data mining, multivariate statistics, or applied graph theory; but by skipping the proofs, the algorithms can also be used by specialists who just want to retrieve information from their data when analysing communication, social, or biological networks. Spectral Clustering and Biclustering: Provides a unified treatment for edge-weighted graphs and contingency tables via methods of multivariate statistical analysis (factoring, clustering, and biclustering). Uses spectral embedding and relaxation to estimate multiway cuts of edge-weighted graphs and bicuts of contingency tables. Goes beyond the expanders by describing the structure of dense graphs with a small spectral gap via the structural eigenvalues and eigen-subspaces of the normalized modularity matrix. Treats graphs like statistical data by combining methods of graph theory and statistics. Establishes a common outline structure for the contents of each algorithm, applicable to networks and microarrays, with unified notions and principles.

An expansive, yet succinct, analysis of the Philosophy of Religion – from metaphysics through theology. Organized into two sections, the text first examines truths concerning what is possible and what is necessary. These chapters lay the foundation for the book’s second part – the search for a metaphysical framework that permits the possibility of an ultimate explanation that is correct and complete. A cutting-edge scholarly work which engages with the traditional metaphysician’s quest for a true ultimate explanation of the most general features of the world we inhabit Develops an original view concerning the epistemology and metaphysics of modality, or truths concerning what is possible or necessary Applies this framework to a re-examination of the cosmological argument for theism Defends a novel version of the Leibnizian cosmological argument

History is replete with instances of what might, or might not, have been. By calling something contingent, at a minimum we are saying that it did not have to be as it is. Things could have been otherwise, and they would have been otherwise if something had happened differently. This collection of original essays examines the significance of contingency in the study of politics. That is, how to study unexpected, accidental, or unknowable political phenomena in a systematic fashion. Yitzhak Rabin is assassinated. Saddam Hussein invades Kuwait. Hurricane Katrina hits New Orleans. How might history be different had these events not happened? How should social scientists interpret the significance of these events and can such unexpected outcomes be accounted for in a systematic way or by theoretical models? Can these unpredictable events be predicted for? Political Contingency addresses these and other related questions, providing theoretical and historical perspectives on the topic, empirical case studies, and the methodological challenges that the fact of contingency poses for the study of politics. Contributors: Sonu Bedi, Traci Burch, Jennifer L. Hochschild, Gregory A. Huber, Courtney Jung, David R. Mayhew, Philip Pettit, Andreas Schedler, Mark R. Shulman, Robert G. Shulman, Ian Shapiro, Susan Stokes, Elisabeth Jean Wood, and David Wootton