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stat.ML2024
Improved convergence rate of kNN graph Laplacians: differentiable self-tuned affinity
Xiuyuan Cheng, Yixuan Tan, Nan Wu
In graph-based data analysis, -nearest neighbor (NN) graphs are widely used due to their adaptivity to local data densities. Allowing weighted edges in the graph, the kerneli…
math.ST2024
Adaptive Bayesian Regression on Data with Low Intrinsic Dimensionality
Tao Tang, Nan Wu, Xiuyuan Cheng +1
We study how the posterior contraction rate under a Gaussian process (GP) prior depends on the intrinsic dimension of the predictors and the smoothness of the regression function.…
stat.ML2024
Boundary Detection Algorithm Inspired by Locally Linear Embedding
Pei-Cheng Kuo, Nan Wu
In the study of high-dimensional data, it is often assumed that the data set possesses an underlying lower-dimensional structure. A practical model for this structure is an embedde…