2 citations · 3 across the 9 of their papers we have counts for
4 papers · 1 filter
Natural Graph Wavelet Packet Dictionaries
Alexander Cloninger, Haotian Li, Naoki Saito
We introduce a set of novel multiscale basis transforms for signals on graphs that utilize their "dual" domains by incorporating the "natural" distances between graph Laplacian eig…
A deep network construction that adapts to intrinsic dimensionality beyond the domain
Alexander Cloninger, Timo Klock
We study the approximation of two-layer compositions via deep networks with ReLU activation, where is a geometrically intuitive, dimensionality reducing featur…
Cautious Active Clustering
Alexander Cloninger, Hrushikesh Mhaskar
We consider the problem of classification of points sampled from an unknown probability measure on a Euclidean space. We study the question of querying the class label at a very sm…
Nonclosedness of Sets of Neural Networks in Sobolev Spaces
Scott Mahan, Emily King, Alex Cloninger
We examine the closedness of sets of realized neural networks of a fixed architecture in Sobolev spaces. For an exactly -times differentiable activation function , we constru…