Search Results for author: Andrei Smolensky

Found 5 papers, 3 papers with code

Stationary Kernels and Gaussian Processes on Lie Groups and their Homogeneous Spaces II: non-compact symmetric spaces

1 code implementation30 Jan 2023 Iskander Azangulov, Andrei Smolensky, Alexander Terenin, Viacheslav Borovitskiy

The invariance of a Gaussian process' covariance to such symmetries gives rise to the most natural generalization of the concept of stationarity to such spaces.

Gaussian Processes

On power sum kernels on symmetric groups

no code implementations10 Nov 2022 Iskander Azangulov, Viacheslav Borovitskiy, Andrei Smolensky

In this note, we introduce a family of "power sum" kernels and the corresponding Gaussian processes on symmetric groups $\mathrm{S}_n$.

Gaussian Processes

Stationary Kernels and Gaussian Processes on Lie Groups and their Homogeneous Spaces I: the compact case

1 code implementation31 Aug 2022 Iskander Azangulov, Andrei Smolensky, Alexander Terenin, Viacheslav Borovitskiy

The invariance of a Gaussian process' covariance to such symmetries gives rise to the most natural generalization of the concept of stationarity to such spaces.

Bayesian Inference Gaussian Processes

Geometry-aware Bayesian Optimization in Robotics using Riemannian Matérn Kernels

1 code implementation2 Nov 2021 Noémie Jaquier, Viacheslav Borovitskiy, Andrei Smolensky, Alexander Terenin, Tamim Asfour, Leonel Rozo

Bayesian optimization is a data-efficient technique which can be used for control parameter tuning, parametric policy adaptation, and structure design in robotics.

Bayesian Optimization Motion Planning

Real roots in the root system $\mathsf{T}_{2,p,q}$

no code implementations8 Jan 2021 Karin Baur, Jian-Rong Li, Andrei Smolensky

Motivated by the recent advances in the categorification of the cluster structure on the coordinate rings of Grassmannians of $k$-subspaces in $n$-space, we investigate a particular construction of root systems of type $\mathsf{T}_{2, p, q}$, including the type $\mathsf{E}_n$.

Combinatorics 17B22

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