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 …

Graph theory is now becoming a standard tool in system-level neuroscience. However,
endowing observed brain anatomy and dynamics with a complex network structure does not …

Complex systems research is becoming ever more important in both the natural and social
sciences. It is commonly implied that there is such a thing as a complex system, different …

Recent research has demonstrated the potential of psychedelic therapy for mental health
care. However, the psychological experience underlying its therapeutic effects remains …

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 …

Weak values arise experimentally as conditioned averages of weak (noisy) observable
measurements that minimally disturb an initial quantum state, and also as dynamical …

Appealing to several multivariate information measures—some familiar, some new here—
we analyze the information embedded in discrete-valued stochastic time series. We dissect …

Mathematical models are an essential component of quantitative science. They generate
predictions about the future, based on information available in the present. In the spirit of …

Memory limitations are known to constrain language comprehension and production, and
have been argued to account for crosslinguistic word order regularities. However, a …

Computational mechanics quantifies structure in a stochastic process via its causal states,
leading to the process's minimal, optimal predictor—the ϵ-machine ϵ-machine. We extend …