Fachgruppe Mathematik: Browsing Fachgruppe Mathematik by Subject "convergence rates"
Now showing items 1-5 of 5
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Convergence analysis of online algorithms for vector-valued kernel regression
Griebel, Michael; Oswald, Peter (2023-09)We consider the problem of approximating the regression function from noisy vectorvalued data by an online learning algorithm using an appropriate reproducing kernel Hilbert space (RKHS) as prior. In an online algorithm, ... -
Error estimates for multivariate regression on discretized function spaces
Bohn, Bastian; Griebel, Michael (2016-03)In this paper, we will discuss the discretization error for the regression setting and derive error bounds relying on the approximation properties of the discretized space. Furthermore, we will point out how the sampling ... -
Schwarz iterative methods: Infinite space splittings
Griebel, Michael; Oswald, Peter (2014-12)We prove the convergence of greedy and randomized versions of Schwarz iterative methods for solving linear elliptic variational problems based on infinite space splittings of a Hilbert space. For the greedy case, we show ... -
Stochastic subspace correction in Hilbert space
Griebel, Michael; Oswald, Peter (2017-11)We consider an incremental approximation method for solving variational problems in infinite-dimensional separable Hilbert spaces, where in each step a randomly and independently selected subproblem from an infinite ... -
Stochastic subspace correction methods and fault tolerance
Griebel, Michael; Oswald, Peter (2018-07)We present convergence results in expectation for stochastic subspace correction schemes and their accelerated versions to solve symmetric positive-definite variational problems, and discuss their potential for achieving ...