Discrete Causal Theory

Discrete Causal Theory PDF

Author: Benjamin F. Dribus

Publisher: Springer

Published: 2017-04-26

Total Pages: 558

ISBN-13: 331950083X

DOWNLOAD EBOOK →

This book evaluates and suggests potentially critical improvements to causal set theory, one of the best-motivated approaches to the outstanding problems of fundamental physics. Spacetime structure is of central importance to physics beyond general relativity and the standard model. The causal metric hypothesis treats causal relations as the basis of this structure. The book develops the consequences of this hypothesis under the assumption of a fundamental scale, with smooth spacetime geometry viewed as emergent. This approach resembles causal set theory, but differs in important ways; for example, the relative viewpoint, emphasizing relations between pairs of events, and relationships between pairs of histories, is central. The book culminates in a dynamical law for quantum spacetime, derived via generalized path summation.

Approaches to Quantum Gravity

Approaches to Quantum Gravity PDF

Author: Daniele Oriti

Publisher: Cambridge University Press

Published: 2009-03-05

Total Pages: 605

ISBN-13: 0521860458

DOWNLOAD EBOOK →

Containing contributions from leading researchers in this field, this book provides a complete overview of this field from the frontiers of theoretical physics research for graduate students and researchers. It introduces the most current approaches to this problem, and reviews their main achievements.

New Foundations for Physical Geometry

New Foundations for Physical Geometry PDF

Author: Tim Maudlin

Publisher: Oxford University Press

Published: 2014-02

Total Pages: 374

ISBN-13: 0198701306

DOWNLOAD EBOOK →

Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.

THEORY OF CAUSAL DIFFERENTIAL EQUATIONS

THEORY OF CAUSAL DIFFERENTIAL EQUATIONS PDF

Author: S. Leela

Publisher: Springer Science & Business Media

Published: 2010-01-01

Total Pages: 208

ISBN-13: 9491216252

DOWNLOAD EBOOK →

The problems of modern society are both complex and inter-disciplinary. Despite the - parent diversity of problems, however, often tools developed in one context are adaptable to an entirely different situation. For example, consider the well known Lyapunov’s second method. This interesting and fruitful technique has gained increasing signi?cance and has given decisive impetus for modern development of stability theory of discrete and dynamic system. It is now recognized that the concept of Lyapunov function and theory of diff- ential inequalities can be utilized to investigate qualitative and quantitative properties of a variety of nonlinear problems. Lyapunov function serves as a vehicle to transform a given complicated system into a simpler comparison system. Therefore, it is enough to study the properties of the simpler system to analyze the properties of the complicated system via an appropriate Lyapunov function and the comparison principle. It is in this perspective, the present monograph is dedicated to the investigation of the theory of causal differential equations or differential equations with causal operators, which are nonanticipative or abstract Volterra operators. As we shall see in the ?rst chapter, causal differential equations include a variety of dynamic systems and consequently, the theory developed for CDEs (Causal Differential Equations) in general, covers the theory of several dynamic systems in a single framework.

Elements of Causal Inference

Elements of Causal Inference PDF

Author: Jonas Peters

Publisher: MIT Press

Published: 2017-11-29

Total Pages: 289

ISBN-13: 0262037319

DOWNLOAD EBOOK →

A concise and self-contained introduction to causal inference, increasingly important in data science and machine learning. The mathematization of causality is a relatively recent development, and has become increasingly important in data science and machine learning. This book offers a self-contained and concise introduction to causal models and how to learn them from data. After explaining the need for causal models and discussing some of the principles underlying causal inference, the book teaches readers how to use causal models: how to compute intervention distributions, how to infer causal models from observational and interventional data, and how causal ideas could be exploited for classical machine learning problems. All of these topics are discussed first in terms of two variables and then in the more general multivariate case. The bivariate case turns out to be a particularly hard problem for causal learning because there are no conditional independences as used by classical methods for solving multivariate cases. The authors consider analyzing statistical asymmetries between cause and effect to be highly instructive, and they report on their decade of intensive research into this problem. The book is accessible to readers with a background in machine learning or statistics, and can be used in graduate courses or as a reference for researchers. The text includes code snippets that can be copied and pasted, exercises, and an appendix with a summary of the most important technical concepts.

Causation, Prediction, and Search

Causation, Prediction, and Search PDF

Author: Peter Spirtes

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 551

ISBN-13: 1461227488

DOWNLOAD EBOOK →

This book is intended for anyone, regardless of discipline, who is interested in the use of statistical methods to help obtain scientific explanations or to predict the outcomes of actions, experiments or policies. Much of G. Udny Yule's work illustrates a vision of statistics whose goal is to investigate when and how causal influences may be reliably inferred, and their comparative strengths estimated, from statistical samples. Yule's enterprise has been largely replaced by Ronald Fisher's conception, in which there is a fundamental cleavage between experimental and non experimental inquiry, and statistics is largely unable to aid in causal inference without randomized experimental trials. Every now and then members of the statistical community express misgivings about this turn of events, and, in our view, rightly so. Our work represents a return to something like Yule's conception of the enterprise of theoretical statistics and its potential practical benefits. If intellectual history in the 20th century had gone otherwise, there might have been a discipline to which our work belongs. As it happens, there is not. We develop material that belongs to statistics, to computer science, and to philosophy; the combination may not be entirely satisfactory for specialists in any of these subjects. We hope it is nonetheless satisfactory for its purpose.

Free Will, Causality, and Neuroscience

Free Will, Causality, and Neuroscience PDF

Author:

Publisher: BRILL

Published: 2019-10-21

Total Pages: 191

ISBN-13: 9004409963

DOWNLOAD EBOOK →

Neuroscientists often consider free will to be an illusion. Contrary to this hypothesis, the contributions to this volume show that recent developments in neuroscience can also support the existence of free will. Firstly, the possibility of intentional consciousness is studied. Secondly, Libet’s experiments are discussed from this new perspective. Thirdly, the relationship between free will, causality and language is analyzed. This approach suggests that language grants the human brain a possibility to articulate a meaningful personal life. Therefore, human beings can escape strict biological determinism. Contributing author Sofia Bonicalzi has received funding from the European Union’s Framework Programme for Research and Innovation Horizon 2020 (2014-2020) under the Marie Skłodowska-Curie Grant Agreement No. 754388 (LMUResearchFellows) and from LMUexcellent, funded by the Federal Ministry of Education and Research (BMBF) and the Free State of Bavaria under the Excellence Strategy of the German Federal Government and the Länder.

Discrete or Continuous?

Discrete or Continuous? PDF

Author: Amit Hagar

Publisher: Cambridge University Press

Published: 2014-05

Total Pages: 281

ISBN-13: 1107062802

DOWNLOAD EBOOK →

Novel conceptual analysis, fresh historical perspectives, and concrete physical examples illuminate one of the most thought-provoking topics in physics.