1 citations · 1 across the 4 of their papers we have counts for
4 papers
A Theoretical Analysis of the Test Error of Finite-Rank Kernel Ridge Regression
Tin Sum Cheng, Aurelien Lucchi, Ivan Dokmanić +2
Existing statistical learning guarantees for general kernel regressors often yield loose bounds when used with finite-rank kernels. Yet, finite-rank kernels naturally appear in sev…
Capacity Bounds for Hyperbolic Neural Network Representations of Latent Tree Structures
Anastasis Kratsios, Ruiyang Hong, Haitz Sáez de Ocáriz Borde
We study the representation capacity of deep hyperbolic neural networks (HNNs) with a ReLU activation function. We establish the first proof that HNNs can -isometrical…
Generative Ornstein-Uhlenbeck Markets via Geometric Deep Learning
Anastasis Kratsios, Cody Hyndman
We consider the problem of simultaneously approximating the conditional distribution of market prices and their log returns with a single machine learning model. We show that an in…
Noncommutative Algebra and Noncommutative Geometry
Anastasis Kratsios
Divided into three parts, the first marks out enormous geometric issues with the notion of quasi-freenss of an algebra and seeks to replace this notion of formal smoothness with an…