activity
20222026
most citedA Comprehensive Taxonomy of Cellular Automata

19 citations · 27 across the 6 of their papers we have counts for

collaborators

7 papers

cs.LG2026

Shape irregularity of Life-Like Network Automaton rules as an indicator of classification performance

Lucas C. S. Oliveira, Michiel Rollier, Jan Baetens +1

Complex Network (CN) classification requires high-level structural characterizations that are both scale-invariant and computationally efficient. Methods based on Life-Like Network…

nlin.CG2026

Exact Lyapunov spectra of affine cellular automata and the parity rule on networks

Michiel Rollier, Jan M. Baetens

The Lyapunov exponent quantifies the sensitivity of a dynamical system to perturbations, and the full Lyapunov spectrum extends this to every orthogonal direction in tangent space.…

nlin.CG2025

Essential metrics for Life on graphs

Michiel Rollier, Lucas Caldeira de Oliveira, Odemir M. Bruno +1

We present a strong theoretical foundation that frames a well-defined family of outer-totalistic network automaton models as a topological generalisation of binary outer-totalistic…

nlin.CG2024

Convolutional Neural Networks for Automated Cellular Automaton Classification

Michiel Rollier, Aisling J. Daly, Jan M. Baetens

The emergent dynamics in spacetime diagrams of cellular automata (CAs) is often organised by means of a number of behavioural classes. Whilst classification of elementary CAs is fe…

nlin.CG2024

Efficient Simulation of Non-uniform Cellular Automata with a Convolutional Neural Network

Michiel Rollier, Aisling J. Daly, Odemir M. Bruno +1

Cellular automata (CAs) and convolutional neural networks (CNNs) are closely related due to the local nature of information processing. The connection between these topics is benef…

nlin.CG2024★ 19 cited

A Comprehensive Taxonomy of Cellular Automata

Michiel Rollier, Kallil M. C. Zielinski, Aisling J. Daly +2

Cellular automata (CAs) are fully-discrete dynamical models that have received much attention due to the fact that their relatively simple setup can nonetheless express highly comp…

physics.soc-ph2022★ 8 cited

Mobility and the spatial spread of SARS-CoV-2 in Belgium

Michiel Rollier, Gisele H. B. Miranda, Jenna Vergeynst +4

We analyse and mutually compare time series of COVID-19-related data and mobility data across Belgium's 43 arrondissements (NUTS 3). In this way, we reach three conclusions. First,…