Toni Karvonen
- A Bayes-Sard Cubature Method
2018/04/09 by Toni Karvonen, Chris J. Oates, Karvonen, Toni +3 · 6 citations
Decision Sciences · Computer Science · #Probabilistic and Robust Engineering Design #Advanced Multi-Objective Optimization Algorithms #Gaussian Processes and Bayesian Inference
- Maximum likelihood estimation and uncertainty quantification for\n Gaussian process approximation of deterministic functions
2020/01/29 by Toni Karvonen, George Wynne, Karvonen, Toni +7 · 2 citations
Computer Science · Decision Sciences · Mathematics · #Gaussian Processes and Bayesian Inference #Probabilistic and Robust Engineering Design #Statistical Methods and Inference
- A probabilistic Taylor expansion with Gaussian processes
2021/02/01 by Toni Karvonen, Jon Cockayne, Karvonen, Toni +5 · 1 citation
Computer Science · Chemistry · Environmental Science · #Gaussian Processes and Bayesian Inference #Spectroscopy and Chemometric Analyses #Air Quality Monitoring and Forecasting
- ProbNum: Probabilistic Numerics in Python
2021/12/03 by Jonathan Wenger, Nicholas Krämer, Wenger, Jonathan +21 · 1 citation
Computer Science · Mathematics · #Bayesian Modeling and Causal Inference #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Mathematical Software (cs.MS) #Numerical Analysis (math.NA) #Statistics Education and Methodologies
- Orthonormal Expansions for Translation-Invariant Kernels
2022/06/17 by Filip Tronarp, Toni Karvonen, Tronarp, Filip +1 · 1 citation
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #Elasticity and Material Modeling #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Seismic Imaging and Inversion Techniques
- Error analysis for a statistical finite element method
2022/01/19 by Toni Karvonen, Karvonen, Toni, Fehmi Cirak +3 · 1 citation
Decision Sciences · Physics and Astronomy · #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Scientific Measurement and Uncertainty Evaluation #Statistics Theory (math.ST)
- Fully symmetric kernel quadrature
2017/03/18 by Toni Karvonen, Karvonen, Toni, Simo Särkkä +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Computation (stat.CO) #Electromagnetic Scattering and Analysis #FOS: Computer and information sciences #FOS: Mathematics #Mathematical Approximation and Integration #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
- A Dictionary of Closed-Form Kernel Mean Embeddings
2025/04/26 by François-Xavier Briol, Alexandra Gessner, Briol, François-Xavier +5 · 1 voice · 2 citations
#stat.ML #cs.LG #math.NA #stat.CO
- General superconvergence for kernel-based approximation
2025/05/16 by Toni Karvonen, Gabriele Santin, Karvonen, Toni +3 · 3 citations
Engineering · Mathematics · #Approximation Theory and Sequence Spaces #FOS: Mathematics #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Numerical methods in engineering