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Study of higher-order interactions in unweighted, undirected networks using persistent homology
Udit Raj, Slobodan Maleti\'c, Sudeepto Bhattacharya
https://arxiv.org/abs/2506.19448

Study of higher-order interactions in unweighted, undirected networks using persistent homology
Persistent homology has been studied to better understand the structural properties and topology features of weighted networks. It can reveal hidden layers of information about the higher-order structures formed by non-pairwise interactions in a network. Studying of higher-order interactions (HoIs) of a system provides a more comprehensive understanding of the complex system; moreover, it is a more precise depiction of the system as many complex systems, such as ecological systems and biologica…

Topology-Enhanced Superconducting Qubit Networks for In-Sensor Quantum Information Processing
J. Settino, G. G. Luciano, A. Di Bartolomeo, P. Silvestrini, M. Lisitskiy, B. Ruggiero, F. Romeo
https://arxiv.org/abs/2507.13228

Topology-Enhanced Superconducting Qubit Networks for In-Sensor Quantum Information Processing
We investigate the influence of topology on the magnetic response of inductively coupled superconducting flux-qubit networks. Using exact diagonalization methods and linear response theory, we compare the magnetic response of linear and cross-shaped array geometries, used as paradigmatic examples. We find that the peculiar coupling matrix in cross-shaped arrays yields a significant enhancement of the magnetic flux response compared to linear arrays, this network-topology effect arising from coo…

Classification of Histopathology Slides with Persistence Homology Convolutions
Shrunal Pothagoni, Benjamin Schweinhart
https://arxiv.org/abs/2507.14378 htt…

Classification of Histopathology Slides with Persistence Homology Convolutions
Convolutional neural networks (CNNs) are a standard tool for computer vision tasks such as image classification. However, typical model architectures may result in the loss of topological information. In specific domains such as histopathology, topology is an important descriptor that can be used to distinguish between disease-indicating tissue by analyzing the shape characteristics of cells. Current literature suggests that reintroducing topological information using persistent homology can im…