Abstract: Chebyshev interpolation polynomials exhibit the exponential approximation property to analytic functions on a cube. Based on the Chebyshev interpolation polynomial approximation, we propose ...

This repository contains a PyTorch implementation of ICLR 2024 paper "PolyGCL: GRAPH CONTRASTIVE LEARNING via Learnable Spectral Polynomial Filters". We provide the small datasets in the folder 'data' ...

Welcome to the official code repository for SLOG: An Inductive Spectral Graph Neural Network Beyond Polynomial Filter, accepted at ICML 2024. For immediate queries or further information, please open ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the tiniest particles and the vast ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

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How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

This paper constructs invariants of rigid vertex isotopy for graphs embedded in three dimensional space. For the Homfly and Dubrovnik polynomials, the skein formalism for these invariants is as shown ...

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