Publications (5)
Benchmark of the Full and Reduced Effective Resistance Kernel for Molecular Classification
Adam WesoÅowski, Karim Essafi
We present a comprehensive study of the commute time kernel method via the effective resistance framework analyzing the quantum complexity of the originally classical approach. Our…
Fast, Accurate and Interpretable Graph Classification with Topological Kernels
Adam WesoÅowski, Ronin Wu, Karim Essafi
We introduce a novel class of explicit feature maps based on topological indices that represent each graph by a compact feature vector, enabling fast and interpretable graph classi…
Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
Karim Essafi, Owen Benton, L. D. C. Jaubert
The kagome lattice is a paragon of geometrical frustration, long-studied for its association with novel ground-states including spin liquids (SLs). Many recently synthesized kagome…
Effect of perturbations on the kagome antiferromagnet at all temperatures
Bernard Bernu, Laurent Pierre, Karim Essafi +1
The ground state of the kagome Heisenberg antiferromagnet is now recognized as a spin liquid, but its precise nature remains unsettled, even if more and more clues point to…
Flat bands and Dirac cones in breathing lattices
Karim Essafi, L. D. C. Jaubert, M. Udagawa
In breathing pyrochlores and kagomes, couplings between neighbouring tetrahedra and triangles are free to differ. Breathing lattices thus offer the possibility to explore a differe…