From the 1 of 5 linked papers with an AI index.
5 papers
Bayesian Inference of Discretization Error Means in ODEs via Ensemble Kalman Filtering
Shoji Toyota, Yuto Miyatake
The paper introduces a Bayesian method that uses an Ensemble Kalman Filter to estimate the mean of discretization errors in ODE solvers, employing a Markov prior that reflects erro…
Handwriting Trajectory Recovery with Diffusion Models
Hiroki Nagamatsu, Shoji Toyota, Seiichi Uchida
Recovering online pen trajectories from offline handwriting images, often referred to as handwriting trajectory recovery (stroke recovery), is an offline-to-online conversion task…
Self-Organizing Score-based Data Assimilation
Yuma Yamaoka, Seiichi Uchida, Shoji Toyota
A state-space model is a statistical framework for inferring latent states from observed time-series data. However, inference with nonlinear and high-dimensional state-space models…
Joint Bayesian Inference of Parameter and Discretization Error Uncertainties in ODE Models
Shoji Toyota, Yuto Miyatake
We address the problem of Bayesian inference for parameters in ordinary differential equation (ODE) models based on observational data. Conventional approaches in this setting typi…
Compositional simulation-based inference for time series
Manuel Gloeckler, Shoji Toyota, Kenji Fukumizu +1
Amortized simulation-based inference (SBI) methods train neural networks on simulated data to perform Bayesian inference. While this strategy avoids the need for tractable likeliho…