21 papers · ranked by Valyu relevance
Catalina Morales-Rojas, Ronney B. Panerai, José Luis Jara, Maria Rubega + 2 more
'Maria Rubega' 'Roberto Di Marco' 'Emanuela Formaggio'] The brain is a fundamental organ for the human body to function properly, for which it needs to receive a continuous flow of blood, which explains the existence of control mechanisms that act to maintain this flow as constant as possible in a process known as…
Joseph Starkey, Robin L. Carhart-Harris, Andrea Pigorini, Lino Nobili + 1 more
Application of complexity measures to neurophysiological time series has seen increased use in recent years to identify neural correlates of global states of consciousness. Lempel-Ziv complexity is currently the de-facto complexity measure used in these investigations. However, by simply counting the number of…
Marcos G. Alpino, Tiago Debarba, Reinaldo O. Vianna, André T. Cesário + 1 more
'André T. Cesário' 'Viktor Dodonov'] We investigate the role of a statistical complexity measure to assign equilibration in isolated quantum systems. While unitary dynamics preserve global purity, expectation values of observables often exhibit equilibration-like behavior, raising the question of whether a measure of…
Keith Smith, Jason P. Smith
Degree heterogeneity and latent geometry, also referred to as popularity and similarity, are key explanatory components underlying the structure of real-world networks. The relationship between these components and the statistical complexity of networks is not well understood. We introduce a parsimonious normalised…
André T. Cesário, Diego L. B. Ferreira, Tiago Debarba, Fernando Iemini + 3 more
'Fernando Iemini' 'Thiago O. Maciel' 'Reinaldo O. Vianna' 'Antonio Vidiella-Barrranco'] We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signaling function of quantum order-disorder transitions. We discuss the possibility for such…
Kenric P. Nelson, Andrea Rapisarda, Airton Deppman, Astero Provata + 7 more
'Evaldo M. F. Curado' 'Christian Beck' 'Hans J. Herrmann' 'Henrik Jeldtoft Jensen' 'Ugur Tirnakli' 'Fernando D. Nobre' 'Angelo Plastino'] Nonextensive statistical mechanics has developed into an important framework for modeling the thermodynamics of complex systems and the information of complex signals. To mark the…
Nima Dehghani
Complexity science offers a wide range of measures for quantifying unpredictability, structure, and information. Yet a systematic conceptual organization of these measures is still missing. We present a unified framework that locates statistical, algorithmic, and dynamical measures along three orthogonal…
Flavia Pennini, Angelo Plastino, Adam Gadomski, Yong Deng
The notion of statistical order derives from the disequilibrium concept introduced by López-Ruiz, Mancini, and Calbet thirty years ago. In this effort, it is shown that the disequilibrium is intimately linked to the celebrated Rényi entropy. One also explores this link in connection with the van der Waals gas…
David P. Feldman, James P. Crutchfield, Antonio M. Scarfone
We compare and contrast three different, but complementary views of “structure” and “pattern” in spatial processes. For definiteness and analytical clarity, we apply all three approaches to the simplest class of spatial processes: one-dimensional Ising spin systems with finite-range interactions. These noncritical…
Matthew Ho, Andri Pradana, Thomas J. Elliott, Lock Yue Chew + 1 more
'Mile Gu'] Elementary cellular automata (ECA) present iconic examples of complex systems. Though described only by one-dimensional strings of binary cells evolving according to nearest-neighbour update rules, certain ECA rules manifest complex dynamics capable of universal computation. Yet, the classification of…
Nahual Sobrino, J. S. Dehesa
The Jacobi polynomials Pˆ (α,β) n (x) conform the canonical family of hypergeometric orthogonal polynomials (HOPs) with the two-parameter weight function (1 − x) α (1 + x) β , α, β > −1, on the interval [−1, +1]. The spreading of its associated probability density (i.e., the Rakhmanov density) over the orthogonality…
Eugenio Piasini, Shuze Liu, Pratik Chaudhari, Vijay Balasubramanian + 1 more
Occam’s razor is the principle that, all else being equal, simpler explanations should be preferred over more complex ones^1^. This principle is thought to play a role in human perception and decision-making^2^, but the nature of our presumed preference for simplicity is not understood. Here we use preregistered…
Kamaludin Dingle, Rafiq Kamal, Boumediene Hamzi
To what extent can we forecast a time series without fitting to historical data? Can universal patterns of probability help in this task? Deep relations between pattern Kolmogorov complexity and pattern probability have recently been used to make a priori probability predictions in a variety of systems in physics…
Kamaludin Dingle, Javor K. Novev, Sebastian E. Ahnert, Ard A. Louis
Unravelling the structure of genotype-phenotype (GP) maps is an important problem in biology. Recently, arguments inspired by algorithmic information theory (AIT) and Kolmogorov complexity have been invoked to uncover simplicity bias in GP maps, an exponentially decaying upper bound in phenotype probability with…
Kamaludin Dingle, Mohammad Alaskandarani, Boumediene Hamzi, Ard A. Louis
'Ard A. Louis'] Abstract. Arguments inspired by algorithmic information theory predict an inverse relation between the probability and complexity of output patterns in a wide range of input-output maps. This phenomenon is known as simplicity bias. By viewing the parameters of dynamical systems as inputs, and resulting…
M. Faggian
Novelty creation is one of the key features that define evolutionary biological systems that exhibit Open-Ended Evolution (OEE). Recently developed theories support the idea that OEE cannot occur in the absence of organisational closure over a characteristic timescale, and that such closure is the ultimate cause of…
Authors not listed
Sequence is the critical determinant of macromolecular function, yet current polymer design approaches often optimize monomer composition and ratios while ignoring sequence. This creates poorly defined design spaces for active learning that miss the vast combinatorial landscape of sequence possibilities. We introduce…
Héctor Zenil
At the intersection of what I call uncomputable art and computational epistemology, a form of experimental philosophy, we find a most exciting and promising areas of science related to causation with an alternative, possibly best possible, solution to the challenge of the inverse problem. That is, the problem of…
Authors not listed
Accurate and efficient calculation of alchemical free energies is a critical challenge in computational chemistry, frequently hindered by the inherent limitations of conventional Thermodynamic Integration (TI) methods. These limitations include poor phasespace overlap between discrete alchemical states, inefficient…
Authors not listed
Gibbs’ paradox—the apparent discontinuity in mixing entropy for gases of varying similarity and the seeming reversibility of mixing-separation cycles—has resisted fully satisfactory resolution for 150 years. We present a solution based on categorical state theory, which posits that physical con f igurations are…
Yoshiharu Mukouyama, Kenya Tanaka, Shuji Nakanishi, Yoshihiro Nakato
The present work reveals that a prebiotic chemical system can generate self-organizing ability that leads to highly ordered structures and an active character such as free independent harmonious behavior. This result is the properties of natural things that have long been overlooked since Darwin’s theory of evolution…