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Jonathan Schmidt

5 accepted papers

2025

BecomingLit: Relightable Gaussian Avatars with Hybrid Neural Shading

NeurIPS 2025poster

We introduce *BecomingLit*, a novel method for reconstructing relightable, high-resolution head avatars that can be rendered from novel viewpoints at interactive rates. Therefore, we propose a new low-cost light stage capture setup, tailored specifically towards capturing faces. Using this setup, we…

Cited by 0SourceScholar
2023

The Rank-Reduced Kalman Filter: Approximate Dynamical-Low-Rank Filtering In High Dimensions

NeurIPS 2023poster

Inference and simulation in the context of high-dimensional dynamical systems remain computationally challenging problems. Some form of dimensionality reduction is required to make the problem tractable in general. In this paper, we propose a novel approximate Gaussian filtering and smoothing method…

Cited by 12SourcePDFScholar
2022

Probabilistic Numerical Method of Lines for Time-Dependent Partial Differential Equations

AISTATS 2022poster

This work develops a class of probabilistic algorithms for the numerical solution of nonlinear, time-dependent partial differential equations (PDEs). Current state-of-the-art PDE solvers treat the space- and time-dimensions separately, serially, and with black-box algorithms, which obscures the inte…

2022

Probabilistic ODE Solutions in Millions of Dimensions

ICML 2022spotlight

Probabilistic solvers for ordinary differential equations (ODEs) have emerged as an efficient framework for uncertainty quantification and inference on dynamical systems. In this work, we explain the mathematical assumptions and detailed implementation schemes behind solving high-dimensional ODEs wi…

Cited by 20SourcePDFScholar
2021

A Probabilistic State Space Model for Joint Inference from Differential Equations and Data

NeurIPS 2021poster

Mechanistic models with differential equations are a key component of scientific applications of machine learning. Inference in such models is usually computationally demanding because it involves repeatedly solving the differential equation. The main problem here is that the numerical solver is har…

Cited by 26SourcePDFScholar