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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

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4 results for “aggregation-diffusion”

Existence of ground states for free energies on the hyperbolic spacemath.AP

Study on existence of ground states for free energy on hyperbolic space.

problem Existence of ground states for a free energy functional on hyperbolic space.

method Derived HLS-type inequalities on Cartan-Hadamard manifolds to prove existence.

result Established conditions for the existence of ground states on hyperbolic space.

hyperbolic space free energy ground states aggregation-diffusion HLS inequalities

2024-09-09abs ↗pdf ↗

Ground states for aggregation-diffusion models on Cartan-Hadamard manifoldsmath.AP

Study on existence of ground states on curved spaces with conditions on potential growth.

problem Existence of ground states for aggregation-diffusion models on Cartan-Hadamard manifolds.

method Investigation of a free energy functional on Cartan-Hadamard manifolds, considering entropy and interaction energies.

result Necessary and sufficient conditions for existence of ground states are found, depending on the growth of the attractive potential.

Cartan-Hadamard manifolds aggregation-diffusion models ground states curvature conditions attractive potential

2023-06-08abs ↗pdf ↗

Learning interaction kernels in mean-field equations of 1st-order systems of interacting particlesstat.ML

Algorithm learns interaction kernels for particle systems from data.

problem Understanding and modeling interactions in systems of interacting particles.

method Nonparametric algorithm using least squares with regularization, probabilistic error functional, and reproducing kernel Hilbert space convergence.

result The algorithm converges optimally and accurately learns interaction kernels.

mean-field equations interacting particles nonparametric learning reproducing kernel Hilbert space least squares

2020-10-29abs ↗pdf ↗

Class-Attentive Diffusion Network for Semi-Supervised Classificationcs.LG

AdaCAD improves semi-supervised classification by focusing on intra-class nodes.

problem Improving semi-supervised classification by addressing inter-class connections in graphs.

method AdaCAD uses a class-attentive diffusion process to adaptively aggregate nodes based on their class similarity.

result AdaCAD significantly outperforms state-of-the-art methods in semi-supervised classification.

graph neural networks semi-supervised classification class-attentive diffusion inter-class connections node aggregation

2020-06-18abs ↗pdf ↗