What is a pattern? How do we come to recognize patterns never seen before? Quantifying
the notion of pattern and formalizing the process of pattern discovery go right to the heart of …

We present a measure of local information transfer, derived from an existing averaged
information-theoretical measure, namely, transfer entropy. Local transfer entropy is used to …

The nature of distributed computation in complex systems has often been described in terms
of memory, communication and processing. This thesis presents a complete information …

Much is now known about the consistency of Bayesian updating on infinite-dimensional
parameter spaces with independent or Markovian data. Necessary conditions for …

We review recent progress in applying information-theoretic and computation-theoretic
measures to describe material structure that transcends previous methods based on exact …

We apply techniques from the field of computational mechanics to evaluate the statistical
complexity of neural recording data from fruit flies. First, we connect statistical complexity to …

We analyze how an observer synchronizes to the internal state of a finite-state information
source, using the ϵ-machine causal representation. Here, we treat the case of exact …

We consider two important time scales—the Markov and cryptic orders—that monitor how an
observer synchronizes to a finitary stochastic process. We show how to compute these …

The past few years have witnessed the rapid growth of online social networks, which have
become important hubs of social activity and conduits of information. Identifying social …

Erwin Schrödinger famously and presciently ascribed the vehicle transmitting the hereditary
information underlying life to an 'aperiodic crystal'. We compare and contrast this, only later …