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A Kalman filter can be used to determine material parameters using uncertain experimental data. However, starting with inappropriate initial values for material parameters might include false local attractors or even divergence. Also,…

Materials Science · Physics 2015-02-13 Abdallah Shokry , Per Ståhle

The ensemble Kalman filter (EnKF) is a popular technique for performing inference in state-space models (SSMs), particularly when the dynamic process is high-dimensional. Unlike reweighting methods such as sequential Monte Carlo (SMC, i.e.…

Because of physical assumptions and numerical approximations, low-order models are affected by uncertainties in the state and parameters, and by model biases. Model biases, also known as model errors or systematic errors, are difficult to…

Methodology · Statistics 2024-10-10 Andrea Nóvoa , Alberto Racca , Luca Magri

Sound source localization aims to seek the direction of arrival (DOA) of all sound sources from the observed multi-channel audio. For the practical problem of unknown number of sources, existing localization algorithms attempt to predict a…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-27 Yanjie Fu , Meng Ge , Haoran Yin , Xinyuan Qian , Longbiao Wang , Gaoyan Zhang , Jianwu Dang

The Unscented Kalman Filter (UKF) is a ubiquitous tool for nonlinear state estimation; however, its performance is limited by the static parameterization of the Unscented Transform (UT). Conventional weighting schemes, governed by fixed…

Machine Learning · Computer Science 2026-03-05 Kenan Majewski , Michał Modzelewski , Marcin Żugaj , Piotr Lichota

In this paper, state and noise covariance estimation problems for linear system with unknown multiplicative noise are considered. The measurement likelihood is modelled as a mixture of two Gaussian distributions and a Student's t…

Signal Processing · Electrical Eng. & Systems 2023-08-29 Xingkai Yu , Ziyang Meng

Room geometry inference algorithms rely on the localization of acoustic reflectors to identify boundary surfaces of an enclosure. Rooms with highly absorptive walls or walls at large distances from the measurement setup pose challenges for…

Audio and Speech Processing · Electrical Eng. & Systems 2024-02-12 H. Nazim Bicer , Cagdas Tuna , Andreas Walther , Emanuël A. P. Habets

The extended Kalman filter (EKF) is a widely adopted method for sensor fusion in navigation applications. A crucial aspect of the EKF is the online determination of the process noise covariance matrix reflecting the model uncertainty. While…

Robotics · Computer Science 2025-03-11 Nadav Cohen , Itzik Klein

The Ensemble Kalman Filter method can be used as an iterative particle numerical scheme for state dynamics estimation and control--to--observable identification problems. In applications it may be required to enforce the solution to satisfy…

Numerical Analysis · Mathematics 2020-08-26 Michael Herty , Giuseppe Visconti

In "Unlabeled Sensing", one observes a set of linear measurements of an underlying signal with incomplete or missing information about their ordering, which can be modeled in terms of an unknown permutation. Previous work on the case of a…

Information Theory · Computer Science 2020-07-14 Hang Zhang , Martin Slawski , Ping Li

We give an overview of recent developments in the problem of reconstructing a band-limited signal from non-uniform sampling from a numerical analysis view point. It is shown that the appropriate design of the finite-dimensional model plays…

Numerical Analysis · Mathematics 2025-10-20 Thomas Strohmer

Several speaker identification systems are giving good performance with clean speech but are affected by the degradations introduced by noisy audio conditions. To deal with this problem, we investigate the use of complementary information…

Sound · Computer Science 2014-07-03 Imen Trabelsi , Dorra Ben Ayed

In the reconstruction process of sound waves in a 3D stratified waveguide, a key technique is to effectively reduce the huge computational demand. In this work, we propose an efficient and simple multilevel reconstruction method to help…

Numerical Analysis · Mathematics 2016-02-17 Keji Liu , Yongzhi Xu , Jun Zou

This article addresses the modeling of reverberant recording environments in the context of under-determined convolutive blind source separation. We model the contribution of each source to all mixture channels in the time-frequency domain…

Machine Learning · Statistics 2009-12-14 Ngoc Duong , Emmanuel Vincent , Remi Gribonval

The Kalman filter has been adopted in acoustic echo cancellation due to its robustness to double-talk, fast convergence, and good steady-state performance. The performance of Kalman filter is closely related to the estimation accuracy of…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-01 Dong Yang , Fei Jiang , Wei Wu , Xuefei Fang , Muyong Cao

The increasing availability of data presents an opportunity to calibrate unknown parameters which appear in complex models of phenomena in the biomedical, physical and social sciences. However, model complexity often leads to…

Numerical Analysis · Mathematics 2022-01-25 Oliver R. A. Dunbar , Andrew B. Duncan , Andrew M. Stuart , Marie-Therese Wolfram

We study the problem of identifying the unknown intervention targets in structural causal models where we have access to heterogeneous data collected from multiple environments. The unknown intervention targets are the set of endogenous…

Machine Learning · Computer Science 2024-03-12 Yuqin Yang , Saber Salehkaleybar , Negar Kiyavash

The problem of source localization with ad hoc microphone networks in noisy and reverberant enclosures, given a training set of prerecorded measurements, is addressed in this paper. The training set is assumed to consist of a limited number…

Sound · Computer Science 2016-10-18 Bracha Laufer-Goldshtein , Ronen Talmon , Sharon Gannot

A major goal in blind source separation to identify and separate sources is to model their inherent characteristics. While most state-of-the-art approaches are supervised methods trained on large datasets, interest in non-data-driven…

Sound · Computer Science 2018-02-19 Delia Fano Yela , Sebastian Ewert , Ken O'Hanlon , Mark B. Sandler

The paper deals with decentralized state estimation for spatially distributed systems described by linear partial differential equations from discrete in-space-and-time noisy measurements provided by sensors deployed over the spatial domain…

Systems and Control · Computer Science 2016-04-11 Giorgio Battistelli , Luigi Chisci , Nicola Forti , Stefano Selleri , Giuseppe Pelosi