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We consider the solution of inverse problems in dynamic contrast-enhanced imaging by means of Ensemble Kalman Filters. Our quantity of interest is blood perfusion, i.e. blood flow rates in tissue. While existing approaches to compute blood…

Numerical Analysis · Mathematics 2018-10-23 Peter Zaspel

Modeling natural phenomena with artificial neural networks (ANNs) often provides highly accurate predictions. However, ANNs often suffer from over-parameterization, complicating interpretation and raising uncertainty issues. Bayesian neural…

Machine Learning · Statistics 2025-03-14 Eirik Høyheim , Lars Skaaret-Lund , Solve Sæbø , Aliaksandr Hubin

Recently, combinations of generative and Bayesian machine learning have been introduced in particle physics for both fast detector simulation and inference tasks. These neural networks aim to quantify the uncertainty on the generated…

Machine Learning · Computer Science 2024-11-21 Sebastian Bieringer , Sascha Diefenbacher , Gregor Kasieczka , Mathias Trabs

Low dimensional representations of words allow accurate NLP models to be trained on limited annotated data. While most representations ignore words' local context, a natural way to induce context-dependent representations is to perform…

Machine Learning · Statistics 2015-06-02 David Belanger , Sham Kakade

In this paper, we explore machine translation improvement via Generative Adversarial Network (GAN) architecture. We take inspiration from RelGAN, a model for text generation, and NMT-GAN, an adversarial machine translation model, to…

Computation and Language · Computer Science 2021-12-01 Jay Ahn , Hari Madhu , Viet Nguyen

Over the years data assimilation methods have been developed to obtain estimations of uncertain model parameters by taking into account a few observations of a model state. The most reliable methods of MCMC are computationally expensive.…

Applications · Statistics 2018-11-14 Sangeetika Ruchi , Svetlana Dubinkina

Uncertainty estimation is essential for robust decision-making in the presence of ambiguous or out-of-distribution inputs. Gaussian Processes (GPs) are classical kernel-based models that offer principled uncertainty quantification and…

Machine Learning · Statistics 2026-04-30 Albert Saiapin , Kim Batselier

The ensemble Kalman filter (EnKF) is widely used for nonlinear and high-dimensional state estimation because it replaces complex covariance propagation with simple ensemble statistics. However, conventional EnKF implementations can become…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Shida Jiang , Shengyu Tao , Zihe Liu , Scott Moura

Unsupervised anomaly detection (UAD) plays a crucial role in neuroimaging for identifying deviations from healthy subject data and thus facilitating the diagnosis of neurological disorders. In this work, we focus on Bayesian flow networks…

Computer Vision and Pattern Recognition · Computer Science 2025-10-21 Hugues Roy , Reuben Dorent , Ninon Burgos

We present a novel sampling-based method for estimating probabilities of rare or failure events. Our approach is founded on the Ensemble Kalman filter (EnKF) for inverse problems. Therefore, we reformulate the rare event problem as an…

Numerical Analysis · Mathematics 2021-12-15 Fabian Wagner , Iason Papaioannou , Elisabeth Ullmann

An ultimate goal of artificial intelligence is to build computer systems that can understand human languages. Understanding commonsense knowledge about the world expressed in text is one of the foundational and challenging problems to…

Computation and Language · Computer Science 2022-04-08 Ngo Quang Huy , Tu Minh Phuong , Ngo Xuan Bach

The Ensemble Kalman Filter (EnKF) is a popular sequential data assimilation method that has been increasingly used for parameter estimation and forecast prediction in epidemiological studies. The observation function plays a critical role…

Methodology · Statistics 2021-07-20 Leah Mitchell , Andrea Arnold

The unscented Kalman filter is an algorithm capable of handling nonlinear scenarios. Uncertainty in process noise covariance may decrease the filter estimation performance or even lead to its divergence. Therefore, it is important to adjust…

Robotics · Computer Science 2026-03-03 Amit Levy , Itzik Klein

Popular (ensemble) Kalman filter data assimilation (DA) approaches assume that the errors in both the a priori estimate of the state and those in the observations are Gaussian. For constrained variables, e.g. sea ice concentration or…

Machine Learning · Computer Science 2025-02-19 Ivo Pasmans , Yumeng Chen , Tobias Sebastian Finn , Marc Bocquet , Alberto Carrassi

Recent studies have shown that ensemble approaches could not only improve accuracy and but also estimate model uncertainty in deep learning. However, it requires a large number of parameters according to the increase of ensemble models for…

Computer Vision and Pattern Recognition · Computer Science 2020-05-25 Hong Joo Lee , Seong Tae Kim , Hakmin Lee , Nassir Navab , Yong Man Ro

Bayesian inference on structured models typically relies on the ability to infer posterior distributions of underlying hidden variables. However, inference in implicit models or complex posterior distributions is hard. A popular tool for…

Machine Learning · Statistics 2016-12-16 Theofanis Karaletsos

This work introduces a new, distributed implementation of the Ensemble Kalman Filter (EnKF) that allows for non-sequential assimilation of large datasets in high-dimensional problems. The traditional EnKF algorithm is computationally…

Machine Learning · Statistics 2023-11-23 Cédric Travelletti , Jörg Franke , David Ginsbourger , Stefan Brönnimann

This paper introduces a novel state estimation framework for robots using differentiable ensemble Kalman filters (DEnKF). DEnKF is a reformulation of the traditional ensemble Kalman filter that employs stochastic neural networks to model…

Robotics · Computer Science 2023-08-22 Xiao Liu , Geoffrey Clark , Joseph Campbell , Yifan Zhou , Heni Ben Amor

The trustworthiness of neural networks is often challenged because they lack the ability to express uncertainty and explain their skill. This can be problematic given the increasing use of neural networks in high stakes decision-making such…

Atmospheric and Oceanic Physics · Physics 2022-12-07 Mariana C. A. Clare , Maike Sonnewald , Redouane Lguensat , Julie Deshayes , Venkatramani Balaji

We consider the problem of conditioning a geological process-based computer simulation, which produces basin models by simulating transport and deposition of sediments, to data. Emphasising uncertainty quantification, we frame this as a…

Applications · Statistics 2017-11-22 Jacob Skauvold , Jo Eidsvik