← Search

Nikola Borislavov Kovachki

5 accepted papers

2025

InverseBench: Benchmarking Plug-and-Play Diffusion Priors for Inverse Problems in Physical Sciences

ICLR 2025spotlight

Plug-and-play diffusion priors (PnPDP) have emerged as a promising research direction for solving inverse problems. However, current studies primarily focus on natural image restoration, leaving the performance of these algorithms in scientific inverse problems largely unexplored. To address this…

2024

Warped Diffusion: Solving Video Inverse Problems with Image Diffusion Models

NeurIPS 2024poster

Using image models naively for solving inverse video problems often suffers from flickering, texture-sticking, and temporal inconsistency in generated videos. To tackle these problems, in this paper, we view frames as continuous functions in the 2D space, and videos as a sequence of continuous warpi…

2023

Geometry-Informed Neural Operator for Large-Scale 3D PDEs

NeurIPS 2023poster

We propose the geometry-informed neural operator (GINO), a highly efficient approach for learning the solution operator of large-scale partial differential equations with varying geometries. GINO uses a signed distance function (SDF) representation of the input shape and neural operators based on gr…

Cited by 106SourcePDFScholar
2022

Learning Chaotic Dynamics in Dissipative Systems

NeurIPS 2022accept

Chaotic systems are notoriously challenging to predict because of their sensitivity to perturbations and errors due to time stepping. Despite this unpredictable behavior, for many dissipative systems the statistics of the long term trajectories are governed by an invariant measure supported on a set…

Cited by 36SourcePDFScholar
2021

Fourier Neural Operator for Parametric Partial Differential Equations

ICLR 2021poster

The classical development of neural networks has primarily focused on learning mappings between finite-dimensional Euclidean spaces. Recently, this has been generalized to neural operators that learn mappings between function spaces. For partial differential equations (PDEs), neural operators direc…