Researchers have developed a novel method for constructing graphs in kernelized graph methods, specifically addressing the challenge of selecting an appropriate Gaussian bandwidth (sigma). The proposed approach uses a per-node bandwidth criterion that aligns the kernel's effective rank with the local intrinsic dimension, estimated via a minimum spanning tree. This adaptive bandwidth control aims to improve spectral complexity consistency with the underlying manifold. Evaluations on CIFAR-100 using SSL embeddings demonstrated that this adaptive bandwidth method consistently enhances accuracy in leave-one-out classification and label propagation compared to fixed-bandwidth techniques and other adaptive methods. AI
IMPACT This adaptive bandwidth control method could improve the performance of graph-based machine learning algorithms by more accurately capturing the underlying data manifold.
RANK_REASON The cluster contains a research paper detailing a new method for graph construction in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]
- arXiv
- CIFAR-100
- Diffusion map
- label propagation (LP)
- leave-one-out (LOO) classification
- minimum spanning tree
- sparse kernel regression graphs
- spectral clustering
- SSL embeddings
AI-generated summary · Google Gemini · from 1 sources. How we write summaries →