Topology and data
Gunnar Carlsson
This paper introduces topological data analysis (TDA) as a framework for extracting qualitative, large-scale structure from high-dimensional, noisy point clouds using geometry and topology.
A comprehensive index of artificial intelligence and machine-learning research with AI-generated summaries, citation metrics, and direct links to papers and code.
Gunnar Carlsson
This paper introduces topological data analysis (TDA) as a framework for extracting qualitative, large-scale structure from high-dimensional, noisy point clouds using geometry and topology.
Han Gao, Sebastian Kaltenbach, Petros Koumoutsakos
Generative models accelerate high-dimensional system simulations by learning effective dynamics on a lower-dimensional manifold and using diffusion models for reconstruction.
Alison A. Motsinger‐Reif, Scott M. Dudek, Lance W. Hahn, et al.
This paper compares grammatical evolution neural networks (GENN) to genetic programming neural networks for detecting gene-gene interactions in genetic epidemiology, showing GENN outperforms in high-dimensional SNP data.
Brian Ichter, Pierre Sermanet, Corey Lynch
This paper introduces a tree-based planning method that combines broad exploration with local policy reuse for long-horizon tasks in high-dimensional state spaces.
Wael AbdAlmageed
SoftReason is a fully differentiable neuro-soft-symbolic architecture for deductive reasoning over high-dimensional perceptual data and knowledge graph evidence.