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Toni Karvonen
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A Bayes-Sard cubature method
T Karvonen, CJ Oates, S Särkkä
Advances in Neural Information Processing Systems 31, 5882–5893, 2018
482018
Maximum likelihood estimation and uncertainty quantification for Gaussian process approximation of deterministic functions
T Karvonen, G Wynne, F Tronarp, CJ Oates, S Särkkä
SIAM/ASA Journal on Uncertainty Quantification 8 (3), 926–958, 2020
422020
Stability of Linear and Non-Linear Kalman Filters
T Karvonen
Master's thesis, 2014
372014
Classical quadrature rules via Gaussian processes
T Karvonen, S Särkkä
IEEE 27th International Workshop on Machine Learning for Signal Processing …, 2017
302017
Maximum likelihood estimation in Gaussian process regression is ill-posed
T Karvonen, CJ Oates
Journal of Machine Learning Research 24 (120), 1–47, 2023
292023
Fully symmetric kernel quadrature
T Karvonen, S Särkkä
SIAM Journal on Scientific Computing 40 (2), A697–A720, 2018
292018
Student's -filters for noise scale estimation
F Tronarp, T Karvonen, S Särkkä
IEEE Signal Processing Letters 26 (2), 352–356, 2019
212019
Semi-exact control functionals from Sard’s method
L South, T Karvonen, C Nemeth, MA Girolami, C Oates
Biometrika 109 (2), 351–367, 2022
202022
On stability of a class of filters for non-linear stochastic systems
T Karvonen, S Bonnabel, E Moulines, S Särkkä
SIAM Journal on Control and Optimization 58 (4), 2023–2049, 2020
192020
ProbNum: Probabilistic numerics in Python
J Wenger, N Krämer, M Pförtner, J Schmidt, N Bosch, N Effenberger, ...
arXiv:2112.02100, 2021
17*2021
Student-t process quadratures for filtering of non-linear systems with heavy-tailed noise
J Prüher, F Tronarp, T Karvonen, S Särkkä, O Straka
20th International Conference on Information Fusion (FUSION), 2017
172017
On the positivity and magnitudes of Bayesian quadrature weights
T Karvonen, M Kanagawa, S Särkkä
Statistics and Computing 29 (6), 1317–1333, 2019
152019
Gaussian kernel quadrature at scaled Gauss-Hermite nodes
T Karvonen, S Särkkä
BIT Numerical Mathematics 59 (4), 877–902, 2019
152019
Integration in reproducing kernel Hilbert spaces of Gaussian kernels
T Karvonen, CJ Oates, M Girolami
Mathematics of Computation 90 (331), 2209–2233, 2021
142021
Approximate state-space Gaussian processes via spectral transformation
T Karvonen, S Särkkä
IEEE 26th International Workshop on Machine Learning for Signal Processing …, 2016
142016
Kernel-based interpolation at approximate Fekete points
T Karvonen, S Särkkä, K Tanaka
Numerical Algorithms 87 (1), 445–468, 2021
122021
Taylor moment expansion for continuous-discrete Gaussian filtering
Z Zhao, T Karvonen, R Hostettler, S Sarkka
IEEE Transactions on Automatic Control 66 (9), 4460–4467, 2021
112021
Asymptotic bounds for smoothness parameter estimates in Gaussian process interpolation
T Karvonen
SIAM/ASA Journal on Uncertainty Quantification 11 (4), 1225–1257, 2023
102023
Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces
G Santin, T Karvonen, B Haasdonk
BIT Numerical Mathematics 62, 279–310, 2022
102022
Small sample spaces for Gaussian processes
T Karvonen
Bernoulli 29 (2), 875–900, 2023
92023
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Articles 1–20