Drawing on various notions from theoretical computer science, we present a novel numerical approach, motivated by the notion of algorithmic probability, to the problem of …
H Zenil, S Hernández-Orozco, NA Kiani… - Entropy, 2018 - mdpi.com
We investigate the properties of a Block Decomposition Method (BDM), which extends the power of a Coding Theorem Method (CTM) that approximates local estimations of …
JP Delahaye, H Zenil - Applied Mathematics and Computation, 2012 - Elsevier
We describe an alternative method (to compression) that combines several theoretical and experimental results to numerically approximate the algorithmic Kolmogorov–Chaitin …
H Zenil - arXiv preprint arXiv:0910.4042, 2009 - arxiv.org
A method for studying the qualitative dynamical properties of abstract computing machines based on the approximation of their program-size complexity using a general lossless …
Unconventional computing is about breaking boundaries in thinking, acting and computing. Typical topics of this non-typical field include, but are not limited to physics of computation …
We introduce and develop a method that demonstrates that the algorithmic information content of a system can be used as a steering handle in the dynamical phase space, thus …
We propose a measure based upon the fundamental theoretical concept in algorithmic information theory that provides a natural approach to the problem of evaluating n …
J Baez, M Stay - Mathematical Structures in Computer Science, 2012 - cambridge.org
Algorithmic entropy can be viewed as a special case of the entropy studied in statistical mechanics. This viewpoint allows us to apply many techniques developed for use in …
Inferring algorithmic structure in data is essential for discovering causal generative models. In this research, we present a quantum computing framework using the circuit model, for …