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math.NA2026
Bayesian Inference of Discretization Error Means in ODEs via Ensemble Kalman Filtering
Shoji Toyota, Yuto Miyatake
We propose a Bayesian framework to quantify discretization errors in numerical solutions of ODE models based on observational data. The discretization error is modeled as a random…
cs.CV2026
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…
cs.CE2026
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…