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Fundamentals of Computational Neuroscience

Third Edition

by Thomas P. Trappenberg ...

Computational neuroscience is the theoretical study of the brain to uncover the principles and mechanisms that guide the development, organization, information processing, and mental functions of the nervous system. Although not a new area, it is only recently that enough knowledge has been gathered to establish computational neuroscience as a scientific discipline in its own right. Given the ... Read more

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Computational neuroscience is the theoretical study of the brain to uncover the principles and mechanisms that guide the development, organization, information processing, and mental functions of the nervous system. Although not a new area, it is only recently that enough knowledge has been gathered to establish computational neuroscience as a scientific discipline in its own right. Given the
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Modern Time Series Forecasting with Python

Industry-ready machine learning and deep learning time series analysis with PyTorch and pandas

by Manu Joseph, Jeffrey Tackes ...

Learn traditional and cutting-edge machine learning (ML) and deep learning techniques and best practices for time series forecasting, including global forecasting models, conformal prediction, and transformer architectures Free with your book: DRM-free PDF version + access to Packt's next-gen Reader\* Key FeaturesApply ML and global models to improve forecasting accuracy through practical ... Read more

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Learn traditional and cutting-edge machine learning (ML) and deep learning techniques and best practices for time series forecasting, including global forecasting models, conformal prediction, and transformer architectures Free with your book: DRM-free PDF version + access to Packt's next-gen Reader\* Key FeaturesApply ML and global models to improve forecasting accuracy through practical
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Examples In Markov Decision Processes

by Alexey B Piunovskiy ...

Series Book 2 - Imperial College Press Optimization Series
This invaluable book provides approximately eighty examples illustrating the theory of controlled discrete-time Markov processes. Except for applications of the theory to real-life problems like stock exchange, queues, gambling, optimal search etc, the main attention is paid to counter-intuitive, unexpected properties of optimization problems. Such examples illustrate the importance of conditions ... Read more

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This invaluable book provides approximately eighty examples illustrating the theory of controlled discrete-time Markov processes. Except for applications of the theory to real-life problems like stock exchange, queues, gambling, optimal search etc, the main attention is paid to counter-intuitive, unexpected properties of optimization problems. Such examples illustrate the importance of conditions
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Pandemics: Insurance and Social Protection

Edited by María del Carmen Boado-Penas, Julia Eisenberg, Şule Şahin‬‬‬ ...

Series series Springer Actuarial
This open access book collects expert contributions on actuarial modelling and related topics, from machine learning to legal aspects, and reflects on possible insurance designs during an epidemic/pandemic.Starting by considering the impulse given by COVID-19 to the insurance industry and to actuarial research, the text covers compartment models, mortality changes during a pandemic, risk-sharing ... Read more

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This open access book collects expert contributions on actuarial modelling and related topics, from machine learning to legal aspects, and reflects on possible insurance designs during an epidemic/pandemic.Starting by considering the impulse given by COVID-19 to the insurance industry and to actuarial research, the text covers compartment models, mortality changes during a pandemic, risk-sharing
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Introduction to Probability, Second Edition

by Joseph K. Blitzstein, Jessica Hwang ...

Series series Chapman & Hall/CRC Texts in Statistical Science
Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and toolsfor understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, ... Read more

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Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and toolsfor understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics,
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Pseudo-Regularly Varying Functions and Generalized Renewal Processes

by Valeriĭ V. Buldygin, Karl-Heinz Indlekofer, Oleg I. Klesov, Josef G. Steinebach ...

Series Book 91 - Probability Theory and Stochastic Modelling
One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of applied mathematics. On the other hand, regular variation of functions is a property that features prominently in ... Read more

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One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of applied mathematics. On the other hand, regular variation of functions is a property that features prominently in
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Open Quantum Systems

A Mathematical Perspective

Edited by Dorothea Bahns, Anke Pohl, Ingo Witt ...

Series series Tutorials, Schools, and Workshops in the Mathematical Sciences
This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to ... Read more

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This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to
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Molecular Storms

The Physics of Stars, Cells and the Origin of Life

by Liam Graham ...

Series series Physics and Astronomy (R0)
“Following in the footsteps of Stephen Hawking's ‘A brief history of time’ and Simon Singh's ‘Fermat’s Last Theorem’ this exceptionally accessible book will you leave marveling at the wonders of the world and, if you didn't listen to your science teachers, wishing you had. Graham writes with the mind of a physicist and the soul of a poet.”Nicki Hayes, CCO, The Communications Practice, author of ... Read more

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“Following in the footsteps of Stephen Hawking's ‘A brief history of time’ and Simon Singh's ‘Fermat’s Last Theorem’ this exceptionally accessible book will you leave marveling at the wonders of the world and, if you didn't listen to your science teachers, wishing you had. Graham writes with the mind of a physicist and the soul of a poet.”Nicki Hayes, CCO, The Communications Practice, author of
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An Introduction to Probability

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by Edward P C Kao ...

This edition covers the standard materials to be expected in a course from a calculus-based course in probability. A new chapter is added to cover exchangeability, embedding, and Monte Carlo simulation.Contents:Preface to the First EditionPreface to the Second EditionNotations and AbbreviationsPermutation and CombinationAxioms of ProbabilityConditional ProbabilityRandom VariablesDis... ... Read more

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This edition covers the standard materials to be expected in a course from a calculus-based course in probability. A new chapter is added to cover exchangeability, embedding, and Monte Carlo simulation.Contents:Preface to the First EditionPreface to the Second EditionNotations and AbbreviationsPermutation and CombinationAxioms of ProbabilityConditional ProbabilityRandom VariablesDis...
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Ruin Probabilities

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by Yuliya Mishura, Olena Ragulina ...

Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach deals with continuous-time risk models and covers several aspects of risk theory. The first of them is the smoothness of the survival probabilities. In particular, the book provides a detailed investigation of the continuity and differentiability of the infinite-horizon and finite-horizon survival probabilities for different risk ... Read more

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Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach deals with continuous-time risk models and covers several aspects of risk theory. The first of them is the smoothness of the survival probabilities. In particular, the book provides a detailed investigation of the continuity and differentiability of the infinite-horizon and finite-horizon survival probabilities for different risk
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Earthquake Hazard and Risk

Edited by Vladimír Schenk ...

Series Book 6 - Advances in Natural and Technological Hazards Research
Earthquake Hazard and Risk is a book summarizing selected papers presented at the 27th General Assembly of the International Association of Seismology and Physics of the Earth's Interior (Wellington, January 1994).The papers, rigorously scrutinized by an international board of referees, cover some recent aspects of current research in earthquake hazard and seismic risk. They address the algorithms ... Read more

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Earthquake Hazard and Risk is a book summarizing selected papers presented at the 27th General Assembly of the International Association of Seismology and Physics of the Earth's Interior (Wellington, January 1994).The papers, rigorously scrutinized by an international board of referees, cover some recent aspects of current research in earthquake hazard and seismic risk. They address the algorithms
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Genealogies Of Interacting Particle Systems

by Matthias Birkner, Rongfeng Sun, Jan M Swart ...

Series Book 38 - Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore
Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems.The ... Read more

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Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems.The
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Mathematics of Two-Dimensional Turbulence

by Sergei Kuksin, Armen Shirikyan ...

Series Book 194 - Cambridge Tracts in Mathematics
This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium, ... Read more

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This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium,
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Stochastic Models of Financial Mathematics

by Vigirdas Mackevicius ...

This book presents a short introduction to continuous-time financial models. An overview of the basics of stochastic analysis precedes a focus on the Black–Scholes and interest rate models. Other topics covered include self-financing strategies, option pricing, exotic options and risk-neutral probabilities. Vasicek, Cox−Ingersoll−Ross, and Heath–Jarrow–Morton interest rate models are also explored ... Read more

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This book presents a short introduction to continuous-time financial models. An overview of the basics of stochastic analysis precedes a focus on the Black–Scholes and interest rate models. Other topics covered include self-financing strategies, option pricing, exotic options and risk-neutral probabilities. Vasicek, Cox−Ingersoll−Ross, and Heath–Jarrow–Morton interest rate models are also explored
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Elements Of Stochastic Dynamics

by Guo-qiang Cai, Weiqiu Zhu ...

Stochastic dynamics has been a subject of interest since the early 20th Century. Since then, much progress has been made in this field of study, and many modern applications for it have been found in fields such as physics, chemistry, biology, ecology, economy, finance, and many branches of engineering including Mechanical, Ocean, Civil, Bio, and Earthquake Engineering.Elements of Stochastic ... Read more

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Stochastic dynamics has been a subject of interest since the early 20th Century. Since then, much progress has been made in this field of study, and many modern applications for it have been found in fields such as physics, chemistry, biology, ecology, economy, finance, and many branches of engineering including Mechanical, Ocean, Civil, Bio, and Earthquake Engineering.Elements of Stochastic
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Introduction To Stochastic Processes

by Mu-fa Chen, Yong-hua Mao ...

Series Book 2 - World Scientific Series On Probability Theory And Its Applications
The objective of this book is to introduce the elements of stochastic processes in a rather concise manner where we present the two most important parts — Markov chains and stochastic analysis. The readers are led directly to the core of the main topics to be treated in the context. Further details and additional materials are left to a section containing abundant exercises for further reading and ... Read more

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The objective of this book is to introduce the elements of stochastic processes in a rather concise manner where we present the two most important parts — Markov chains and stochastic analysis. The readers are led directly to the core of the main topics to be treated in the context. Further details and additional materials are left to a section containing abundant exercises for further reading and
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Financial, Macro and Micro Econometrics Using R

by Hrishikesh D. Vinod, C.R. Rao ...

Series Book 42 - Handbook of Statistics
Financial, Macro and Micro Econometrics Using R, Volume 42, provides state-of-the-art information on important topics in econometrics, including multivariate GARCH, stochastic frontiers, fractional responses, specification testing and model selection, exogeneity testing, causal analysis and forecasting, GMM models, asset bubbles and crises, corporate investments, classification, forecasting, ... Read more

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Financial, Macro and Micro Econometrics Using R, Volume 42, provides state-of-the-art information on important topics in econometrics, including multivariate GARCH, stochastic frontiers, fractional responses, specification testing and model selection, exogeneity testing, causal analysis and forecasting, GMM models, asset bubbles and crises, corporate investments, classification, forecasting,
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Discrete-Time Semi-Markov Random Evolutions and Their Applications

by Nikolaos Limnios, Anatoliy Swishchuk ...

Series series Mathematics and Statistics (R0)
This book extends the theory and applications of random evolutions to semi-Markov random media in discrete time, essentially focusing on semi-Markov chains as switching or driving processes. After giving the definitions of discrete-time semi-Markov chains and random evolutions, it presents the asymptotic theory in a functional setting, including weak convergence results in the series scheme, and ... Read more

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This book extends the theory and applications of random evolutions to semi-Markov random media in discrete time, essentially focusing on semi-Markov chains as switching or driving processes. After giving the definitions of discrete-time semi-Markov chains and random evolutions, it presents the asymptotic theory in a functional setting, including weak convergence results in the series scheme, and
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Planar Maps, Random Walks and Circle Packing

École d'Été de Probabilités de Saint-Flour XLVIII - 2018

by Asaf Nachmias ...

Series Book 2243 - Lecture Notes in Mathematics
This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to ... Read more

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This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to
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Markov Random Flights

by Alexander D. Kolesnik ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Markov Random Flights is the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Markov random flights is a stochastic dynamic system subject to the control of an external Poisson process and represented by the stochastic motion of a particle that moves at constant finite speed and changes its direction at random Poisson time ... Read more

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Markov Random Flights is the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Markov random flights is a stochastic dynamic system subject to the control of an external Poisson process and represented by the stochastic motion of a particle that moves at constant finite speed and changes its direction at random Poisson time
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Stochastic Processes and Related Topics

Proceedings of the 12th Winter School, Siegmundsburg (Germany), February 27-March 4, 2000

Edited by Rainer Buckdahn, Hans J. Engelbert, Marc Yor ...

This volume comprises selected papers presented at the 12th Winter School on Stochastic Processes and their Applications, which was held in Siegmundsburg, Germany, in March 2000. The contents include Backward Stochastic Differential Equations; Semilinear PDE and SPDE; Arbitrage Theory; Credit Derivatives and Models for Correlated Defaults; Three In ... Read more

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This volume comprises selected papers presented at the 12th Winter School on Stochastic Processes and their Applications, which was held in Siegmundsburg, Germany, in March 2000. The contents include Backward Stochastic Differential Equations; Semilinear PDE and SPDE; Arbitrage Theory; Credit Derivatives and Models for Correlated Defaults; Three In
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Übungen zu stochastischen Prozessen

by Simone Malacrida ...

In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Markov-Ketten und Markovsche stochastische Prozessezeitabhängige und zeitunabhängige stochastische ProzesseIrrfahrten und Brownsche BewegungAußerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen. ... Read more

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In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Markov-Ketten und Markovsche stochastische Prozessezeitabhängige und zeitunabhängige stochastische ProzesseIrrfahrten und Brownsche BewegungAußerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen.
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Introduction to Stochastic Processes Using R

by Sivaprasad Madhira, Shailaja Deshmukh ...

Series series Economics and Finance (R0)
This textbook presents some basic stochastic processes, mainly Markov processes. It begins with a brief introduction to the framework of stochastic processes followed by the thorough discussion on Markov chains, which is the simplest and the most important class of stochastic processes. The book then elaborates the theory of Markov chains in detail including classification of states, the first ... Read more

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This textbook presents some basic stochastic processes, mainly Markov processes. It begins with a brief introduction to the framework of stochastic processes followed by the thorough discussion on Markov chains, which is the simplest and the most important class of stochastic processes. The book then elaborates the theory of Markov chains in detail including classification of states, the first
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Elementare Wahrscheinlichkeitstheorie I

Zufallsvariablen und Verteilungen

by Andrea Pascucci ...

Series series Life Science and Basic Disciplines (German Language)
Dieses Buch bietet eine prägnante und zugleich rigorose Einführung in die Wahrscheinlichkeitstheorie. Aus den möglichen Zugängen zum Thema wurde der modernste Ansatz auf Grundlage der Maßtheorie gewählt: Dieser Ansatz erfordert ein höheres Maß an mathematischer Abstraktion und Komplexität, ist jedoch unerlässlich, um fortgeschrittene Themen wie Stochastische Prozesse, Stochastische ... Read more

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Dieses Buch bietet eine prägnante und zugleich rigorose Einführung in die Wahrscheinlichkeitstheorie. Aus den möglichen Zugängen zum Thema wurde der modernste Ansatz auf Grundlage der Maßtheorie gewählt: Dieser Ansatz erfordert ein höheres Maß an mathematischer Abstraktion und Komplexität, ist jedoch unerlässlich, um fortgeschrittene Themen wie Stochastische Prozesse, Stochastische
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Open Quantum Systems

Molecular Storms

An Introduction to Probability

Ruin Probabilities

Earthquake Hazard and Risk

Genealogies Of Interacting Particle Systems

Mathematics of Two-Dimensional Turbulence

Stochastic Models of Financial Mathematics

Elements Of Stochastic Dynamics

Introduction To Stochastic Processes

Financial, Macro and Micro Econometrics Using R

Discrete-Time Semi-Markov Random Evolutions and Their Applications

Planar Maps, Random Walks and Circle Packing

Markov Random Flights

Stochastic Processes and Related Topics

Übungen zu stochastischen Prozessen

Introduction to Stochastic Processes Using R

Elementare Wahrscheinlichkeitstheorie I