… box-car reference vector convolved with K, and K is chosen to emulate the dispersion …
However, it should be remembered that the effect in K - X, modeled by every column of G, is …

… The probability of getting one or more regions of say size k or more in a given SPM{Z) … (n
> k)] is the same as the probability that the largest region consists of k or more voxels [P(n,,, > k)]…

This paper presents a heuristic proof (and simulations of a primordial soup) suggesting that
life—or biological self-organization—is an inevitable and emergent property of any (ergodic) …

A free-energy principle has been proposed recently that accounts for action, perception and
learning. This Review looks at some key brain theories in the biological (for example, neural …

We present a unified statistical theory for assessing the significance of apparent signal
observed in noisy difference images. The results are usable in a wide range of applications, …

This article reviews a free-energy formulation that advances Helmholtz's agenda to find
principles of brain function based on conservation laws and neuronal energy. It rests on …

The slight perversion of the original title of this piece (The Future of the Bayesian Brain) reflects
my attempt to write prospectively about ‘Science and Stories’ over the past 20years. I will …

… from its original formulation in Friston et al. (1993) and an early synthesis in Friston (1995). …
The first half of this section is based on Friston and Dolan (2010), to which readers are …

If one formulates Helmholtz’s ideas about perception in terms of modern-day theories one
arrives at a model of perceptual inference and learning that can explain a remarkable range of …

By formulating Helmholtz’s ideas about perception, in terms of modern-day theories, one
arrives at a model of perceptual inference and learning that can explain a remarkable range of …