6 citations · 13 across the 14 of their papers we have counts for
3 papers · 1 filter
The Human Brain as a Combinatorial Complex
Valentina Sánchez, Çiçek Güven, Koen Haak +3
We propose a framework for constructing combinatorial complexes (CCs) from fMRI time series data that captures both pairwise and higher-order neural interactions through informatio…
Coordinate-wise splitting algorithms for ODE simulation via Koopman-Lie product formulas
Arun Banjara, Ibrahem AlJabea, Theodore Papamarkou +1
We present a computational framework for simulating finite-dimensional ordinary differential equations by combining classical Koopman-Lie product formulas with coordinate-wise froz…
Copresheaf Topological Neural Networks: A Generalized Deep Learning Framework
Mustafa Hajij, Lennart Bastian, Sarah Osentoski +9
We introduce copresheaf topological neural networks (CTNNs), a powerful unifying framework that encapsulates a wide spectrum of deep learning architectures, designed to operate on…