Persistence Theory


Persistence Theory
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Persistence Theory From Quiver Representations To Data Analysis


Persistence Theory From Quiver Representations To Data Analysis
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Author : Steve Y. Oudot
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-05-17

Persistence Theory From Quiver Representations To Data Analysis written by Steve Y. Oudot and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-17 with categories.


Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.



Cyber Persistence Theory


Cyber Persistence Theory
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Author : Michael P. Fischerkeller
language : en
Publisher: Oxford University Press
Release Date : 2022-05-20

Cyber Persistence Theory written by Michael P. Fischerkeller and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-20 with Cyberspace categories.


"In 'Cyber Persistence Theory', Michael P. Fischerkeller, Emily O. Goldman, and Richard J. Harknett argue that this current theory only works well in the cyber strategic space of armed conflict but it is completely misaligned for conflict outside of war - where most state-sponsored adversarial cyber activity occurs. As they show, the reigning paradigm of deterrence theory cannot fully explain what is taking place with respect to cyber conflict. Therefore, the authors develop a novel approach to national cyber security strategy and policy that realigns theory and practice."--



Causation And Persistence


Causation And Persistence
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Author : Douglas Ehring
language : en
Publisher: Oxford University Press
Release Date : 1997-02-06

Causation And Persistence written by Douglas Ehring and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-02-06 with Philosophy categories.


Ehring shows the inadequacy of received theories of causation, and, introducing conceptual devices of his own, provides a wholly new account of causation as the persistence over time of individual properties, or "tropes."



The Persistence Of Critical Theory


The Persistence Of Critical Theory
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Author : Gabriel R. Ricci
language : en
Publisher: Routledge
Release Date : 2017-07-05

The Persistence Of Critical Theory written by Gabriel R. Ricci and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-05 with Philosophy categories.


The latest volume of Culture and Civilization gathers contemporary exponents of critical theory, specifically those based in the Frankfurt School of social thinking. Collectively, this volume demonstrates the continuing intellectual viability of critical theory, which challenges the limits of positivism and materialism. We may question how the theoretical framework of Marxism fails to coordinate with the conditions that defined labor forces, as did Max Horkheimer and Theodor Adorno, or deliberate on the conditions that justify the claims we make through public discourse, as did Jurgen Habermas. Or, like Axel Honneth, we may reflect on recognition theory as a means of addressing social problems. Whatever our objective, the focus of critical theory continues to be the consciousness of established "positive" interests that, without debate, may sustain injustices or conditions which the public may not have chosen to impose. Throughout the hardship of punitive dismissal and exile in the 1930s and 40s, and the shock of the New Left in the 1960s and 70s, and finally the later linguistic and pragmatic turn, the Frankfurt School has sustained the idea that people escape disaffection and alienation when their knowledge of the social and political world is dialectically mediated through creative interaction. This new volume in the Culture and Civilization series continues the tradition of critical thought.



Causation And Persistence


Causation And Persistence
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Author : Douglas Ehring
language : en
Publisher: Oxford University Press, USA
Release Date : 1997

Causation And Persistence written by Douglas Ehring and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Causation categories.


5. The Alphabet of Causation; Mackie on Qualitative Persistence; Partial Trope Persistence; A Theory of Causation; Summary; 6. Causal Asymmetry; Two Preliminary Concepts; A Definition of Causal Priority; Notes; Bibliography; Index; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; Q; R; S; T; U; W.



Dynamical Systems And Population Persistence


Dynamical Systems And Population Persistence
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Author : Hal L. Smith
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Dynamical Systems And Population Persistence written by Hal L. Smith and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


Providing a self-contained treatment of persistence theory that is accessible to graduate students, this monograph includes chapters on infinite-dimensional examples including an SI epidemic model with variable infectivity, microbial growth in a tubular bioreactor, and an age-structured model of cells growing in a chemostat.



The Structure And Stability Of Persistence Modules


The Structure And Stability Of Persistence Modules
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Author : Frédéric Chazal
language : en
Publisher: Springer
Release Date : 2016-10-08

The Structure And Stability Of Persistence Modules written by Frédéric Chazal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-08 with Mathematics categories.


This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations. Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.



Topological Persistence In Geometry And Analysis


Topological Persistence In Geometry And Analysis
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Author : Leonid Polterovich
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-05-11

Topological Persistence In Geometry And Analysis written by Leonid Polterovich and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-11 with Education categories.


The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to persistence modules and focuses on their interactions with pure mathematics, bringing the reader to the cutting edge of current research. In particular, the authors present applications of persistence to symplectic topology, including the geometry of symplectomorphism groups and embedding problems. Furthermore, they discuss topological function theory, which provides new insight into oscillation of functions. The book is accessible to readers with a basic background in algebraic and differential topology.



Persistence Through Time In Spinoza


Persistence Through Time In Spinoza
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Author : Jason Waller
language : en
Publisher: Lexington Books
Release Date : 2012-08-31

Persistence Through Time In Spinoza written by Jason Waller and has been published by Lexington Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-31 with Philosophy categories.


This book concerns the nature of time and ordinary cases of persistence in Spinoza. The author argues for three major interpretive claims. First, that Spinoza is committed to an eternalist theory of time whereby all things (whether they seem to be past, present, or future) are equally real. Second, that a mode’s conatus or essence is a self-maintaining activity (not an inertial force or disposition.) Third, that modes persist through time in Spinoza’s metaphysics by having temporal parts (that is, different parts at different times.) If the author is correct, then a significant reinterpretation of Spinoza’s modal metaphysics is required. The book also puts Spinoza into dialogue with some recent work in analytic metaphysics.



Persistence Through Time And Across Possible Worlds


Persistence Through Time And Across Possible Worlds
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Author : Jiri Benovsky
language : en
Publisher: Walter de Gruyter
Release Date : 2013-05-02

Persistence Through Time And Across Possible Worlds written by Jiri Benovsky and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-02 with Philosophy categories.


How do ordinary objects persist through time and across possible worlds? How do they manage to have their temporal and modal properties? These are the questions adressed in this book which is? "guided tour of theories of persistence". The book is divided in two parts. In the first, the two traditional accounts of persistence through time (endurantism and perdurantism) are combined with presentism and eternalism to yield four different views, and their variants. The resulting views are then examined in turn, in order to see which combinations are appealing and which are not. It is argued that the 'worm view' variant of eternalist perdurantism is superior to the other alternatives. In the second part of the book, the same strategy is applied to the combinations of views about persistence across possible worlds (trans-world identity, counterpart theory, modal perdurants) and views about the nature of worlds, mainly modal realism and abstractionism. Not only all the traditional and well-known views, but also some more original ones, are examined and their pros and cons are carefully weighted. Here again, it is argued that perdurance seems to be the best strategy available.