Toni Karvonen

Publication Activity (10 Years)

Years Active: 2016-2024
Publications (10 Years): 46

Top Topics

Gaussian Kernels

Gaussian Process

Top Venues

SIAM/ASA J. Uncertain. Quantification

Publications

Yuya Suzuki, Toni Karvonen
Construction of Optimal Algorithms for Function Approximation in Gaussian Sobolev Spaces. CoRR (2024)
Filip Tronarp, Toni Karvonen
Orthonormal expansions for translation-invariant kernels. J. Approx. Theory 302 (2024)
Chris J. Oates, Toni Karvonen, Aretha L. Teckentrup, Marina Strocchi, Steven A. Niederer
Probabilistic Richardson Extrapolation. CoRR (2024)
Yuya Suzuki, Nuutti Hyvönen, Toni Karvonen
Möbius-Transformed Trapezoidal Rule. CoRR (2024)
Toni Karvonen, Jon Cockayne, Filip Tronarp, Simo Särkkä
A probabilistic Taylor expansion with Gaussian processes. Trans. Mach. Learn. Res. 2023 (2023)
Toni Karvonen
Asymptotic Bounds for Smoothness Parameter Estimates in Gaussian Process Interpolation. SIAM/ASA J. Uncertain. Quantification 11 (4) (2023)
Kaiyu Li, Daniel Giles, Toni Karvonen, Serge Guillas, François-Xavier Briol
Multilevel Bayesian Quadrature. AISTATS (2023)
Toni Karvonen, Chris J. Oates
Maximum likelihood estimation in Gaussian process regression is ill-posed. J. Mach. Learn. Res. 24 (2023)
Toni Karvonen, Fehmi Cirak, Mark Girolami
Error analysis for a statistical finite element method. CoRR (2022)
Filip Tronarp, Toni Karvonen
Orthonormal Expansions for Translation-Invariant Kernels. CoRR (2022)
Toni Karvonen, Chris J. Oates
Maximum Likelihood Estimation in Gaussian Process Regression is Ill-Posed. CoRR (2022)
Toni Karvonen
Approximation in Hilbert spaces of the Gaussian and other weighted power series kernels. CoRR (2022)
Toni Karvonen
Asymptotic Bounds for Smoothness Parameter Estimates in Gaussian Process Regression. CoRR (2022)
Simo Särkkä, Christos Merkatas, Toni Karvonen
Gaussian Approximations of SDES in Metropolis-Adjusted Langevin Algorithms. MLSP (2021)
Toni Karvonen, Chris J. Oates, Mark Girolami
Integration in reproducing kernel Hilbert spaces of Gaussian kernels. Math. Comput. 90 (331) (2021)
Toni Karvonen, Simo Särkkä, Ken'ichiro Tanaka
Kernel-based interpolation at approximate Fekete points. Numer. Algorithms 87 (1) (2021)
Toni Karvonen, Jon Cockayne, Filip Tronarp, Simo Särkkä
A Probabilistic Taylor Expansion with Applications in Filtering and Differential Equations. CoRR (2021)
Jakub Prüher, Toni Karvonen, Chris J. Oates, Ondrej Straka, Simo Särkkä
Improved Calibration of Numerical Integration Error in Sigma-Point Filters. IEEE Trans. Autom. Control. 66 (3) (2021)
Jonathan Wenger, Nicholas Krämer, Marvin Pförtner, Jonathan Schmidt, Nathanael Bosch, Nina Effenberger, Johannes Zenn, Alexandra Gessner, Toni Karvonen, François-Xavier Briol, Maren Mahsereci, Philipp Hennig
ProbNum: Probabilistic Numerics in Python. CoRR (2021)
Zheng Zhao, Toni Karvonen, Roland Hostettler, Simo Särkkä
Taylor Moment Expansion for Continuous-Discrete Gaussian Filtering. IEEE Trans. Autom. Control. 66 (9) (2021)
Onur Teymur, Christopher N. Foley, Philip G. Breen, Toni Karvonen, Chris J. Oates
Black Box Probabilistic Numerics. CoRR (2021)
Onur Teymur, Christopher N. Foley, Philip G. Breen, Toni Karvonen, Chris J. Oates
Black Box Probabilistic Numerics. NeurIPS (2021)
Toni Karvonen, Simo Särkkä, Ken'ichiro Tanaka
Correction to: Kernel-based interpolation at approximate Fekete points. Numer. Algorithms 87 (1) (2021)
Gabriele Santin, Toni Karvonen, Bernard Haasdonk
Sampling based approximation of linear functionals in Reproducing Kernel Hilbert Spaces. CoRR (2020)
Toni Karvonen, Silvère Bonnabel, Eric Moulines, Simo Särkkä
On Stability of a Class of Filters for Nonlinear Stochastic Systems. SIAM J. Control. Optim. 58 (4) (2020)
Toni Karvonen, George Wynne, Filip Tronarp, Chris J. Oates, Simo Särkkä
Maximum Likelihood Estimation and Uncertainty Quantification for Gaussian Process Approximation of Deterministic Functions. SIAM/ASA J. Uncertain. Quantification 8 (3) (2020)
Toni Karvonen, Simo Särkkä
Worst-case optimal approximation with increasingly flat Gaussian kernels. Adv. Comput. Math. 46 (2) (2020)
Toni Karvonen, Chris J. Oates, Mark Girolami
Integration in reproducing kernel Hilbert spaces of Gaussian kernels. CoRR (2020)
Toni Karvonen, George Wynne, Filip Tronarp, Chris J. Oates, Simo Särkkä
Maximum likelihood estimation and uncertainty quantification for Gaussian process approximation of deterministic functions. CoRR (2020)
Toni Karvonen, Simo Särkkä, Chris J. Oates
Symmetry exploits for Bayesian cubature methods. Stat. Comput. 29 (6) (2019)
Toni Karvonen, Simo Särkkä
Worst-case optimal approximation with increasingly flat Gaussian kernels. CoRR (2019)
Toni Karvonen, Simo Särkkä, Ken'ichiro Tanaka
Kernel-based interpolation at approximate Fekete points. CoRR (2019)
Toni Karvonen, Filip Tronarp, Simo Särkkä
Asymptotics of Maximum Likelihood Parameter Estimates For Gaussian Processes: The Ornstein-Uhlenbeck Prior. MLSP (2019)
Toni Karvonen, Motonobu Kanagawa, Simo Särkkä
On the positivity and magnitudes of Bayesian quadrature weights. Stat. Comput. 29 (6) (2019)
Filip Tronarp, Toni Karvonen, Simo Särkkä
Student's $t$-Filters for Noise Scale Estimation. IEEE Signal Process. Lett. 26 (2) (2019)
Filip Tronarp, Toni Karvonen, Simo Särkkä
Mixture Representation of the MatéRn class with Applications in State Space Approximations and Bayesian quadrature. MLSP (2018)
Toni Karvonen, Chris J. Oates, Simo Särkkä
A Bayes-Sard Cubature Method. NeurIPS (2018)
Toni Karvonen, Motonobu Kanagawa, Simo Särkkä
On the positivity and magnitudes of Bayesian quadrature weights. CoRR (2018)
Jakub Prüher, Toni Karvonen, Chris J. Oates, Ondrej Straka, Simo Särkkä
Improved Calibration of Numerical Integration Error in Sigma-Point Filters. CoRR (2018)
Toni Karvonen, Silvere Bonnabel, Eric Moulines, Simo Särkkä
Bounds on the Covariance Matrix of a Class of Kalman-Bucy Filters for Systems with Non-Linear Dynamics. CDC (2018)
Toni Karvonen, Simo Särkkä
Fully Symmetric Kernel Quadrature. SIAM J. Sci. Comput. 40 (2) (2018)
Toni Karvonen, Simo Särkkä
Fully symmetric kernel quadrature. CoRR (2017)
Jakub Prüher, Filip Tronarp, Toni Karvonen, Simo Särkkä, Ondrej Straka
Student-t process quadratures for filtering of non-linear systems with heavy-tailed noise. FUSION (2017)
Toni Karvonen, Simo Särkkä
Classical quadrature rules via Gaussian processes. MLSP (2017)
Toni Karvonen, Simo Särkkä
Fourier-Hermite series for stochastic stability analysis of non-linear Kalman filters. FUSION (2016)
Toni Karvonen, Simo Särkkä
Approximate state-space Gaussian processes via spectral transformation. MLSP (2016)