An Introduction to Transfer Entropy: Information Flow in by Terry Bossomaier, Lionel Barnett, Michael Harré, Joseph T.

By Terry Bossomaier, Lionel Barnett, Michael Harré, Joseph T. Lizier

This publication considers a comparatively new metric in advanced platforms, move entropy, derived from a sequence of measurements, often a time sequence. After a qualitative creation and a bankruptcy that explains the major principles from data required to appreciate the textual content, the authors then current info concept and move entropy extensive. A key function of the procedure is the authors' paintings to teach the connection among details circulate and complexity. The later chapters exhibit details move in canonical structures, and purposes, for instance in neuroscience and in finance.

The booklet should be of price to complicated undergraduate and graduate scholars and researchers within the components of laptop technological know-how, neuroscience, physics, and engineering.

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Extra resources for An Introduction to Transfer Entropy: Information Flow in Complex Systems

Sample text

In some systems it is important to consider, at the very least, the current state of the system, as it will influence what state the outcome of the next event will be. For example, if you are gambling in Las Vegas and you start with a gambling purse of $1000, then the state of this purse after each gamble depends on how much you have before that gamble. Note that it only depends on the state immediately prior to the next gamble, not on the contents of the purse before any previous gamble; the current contents of the gambling purse is said to be a Markov process [99] of order 1 (or memory 1).

In the original model update is synchronous: all nodes are updated simultaneously. Asynchronous update leads to quite different behaviour [135], as is also the case with CAs. e. e. e. become different cell types). Since Kauffman’s ground-breaking innovation, RBNs have received a lot of attention. Different node functions have been investigated, such as the simplification of just summing the states of the neighbours. Different connection patterns, reflecting the interest in small-world and scale-free networks, are also of interest and some are discussed further in Chap.

Indeed, two very important classes of structures have been identified, and have attracted an enormous amount of attention because they have been found to be incredibly widespread. Watts and Strogatz first described small-world networks [347, 346], which balance regular and random network structures to provide both short path length (typically a characteristic of random networks) at the same time as high clustering (typically a characteristic of regular networks). Given the prevalence of these structures in social networks, they provide some explanation for the “six degrees of separation” or “small-world” phenomenon.

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