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The direction-of-arrival (DOA) of sound sources is an essential acoustic parameter used, e.g., for multi-channel speech enhancement or source tracking. Complex acoustic scenarios consisting of sources-of-interest, interfering sources,…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-17 Wolfgang Mack , Julian Wechsler , Emanuël A. P. Habets

We consider a nonparametric Bayesian approach to estimate the diffusion coefficient of a stochastic differential equation given discrete time observations over a fixed time interval. As a prior on the diffusion coefficient, we employ a…

Statistics Theory · Mathematics 2020-07-22 Shota Gugushvili , Frank van der Meulen , Moritz Schauer , Peter Spreij

Building on the phase reduction theory formulated for reaction-diffusion systems with spatial translational symmetry, we develop a data-driven method that reconstructs the spatiotemporal phase dynamics of traveling and oscillating patterns.…

Adaptation and Self-Organizing Systems · Physics 2026-04-28 Takahiro Arai , Toshio Aoyagi , Yoji Kawamura

We consider the problem of estimating the directions of arrival (DOAs) of multiple sources from a single snapshot of an antenna array, a task with many practical applications. In such settings, the classical Bartlett beamformer is commonly…

Signal Processing · Electrical Eng. & Systems 2025-09-22 Lioz Berman , Sharon Gannot , Tom Tirer

We address the problem of tensor decomposition in application to direction-of-arrival (DOA) estimation for transmit beamspace (TB) multiple-input multiple-output (MIMO) radar. A general 4-order tensor model that enables computationally…

Information Theory · Computer Science 2022-06-29 Feng Xu , Matthew W. Morency , Sergiy A. Vorobyov

Multiple-input multiple-output (MIMO) systems play an essential role in direction-of-arrival (DOA) estimation. A large number of antennas used in a MIMO system imposes a huge complexity burden on the popular DOA estimation algorithms, such…

Signal Processing · Electrical Eng. & Systems 2023-03-16 Md Imrul Hasan , Mohammad Saquib

We present a general framework for Bayesian estimation of incompletely observed multivariate diffusion processes. Observations are assumed to be discrete in time, noisy and incomplete. We assume the drift and diffusion coefficient depend on…

Methodology · Statistics 2019-02-04 Frank van der Meulen , Moritz Schauer

This paper presents a Bayesian inferential framework for estimating joint, conditional, and marginal probabilities in directed acyclic graphs (DAGs) applied to the study of the progression of hospitalized patients with severe influenza.…

Applications · Statistics 2025-04-10 Lesly Acosta , Carmen Armero

Recently, coprime arrays have been in the focus of research because of their potential in exploiting redundancy in spanning large apertures with fewer elements than suggested by theory. A coprime array consists of two uniform linear…

Information Theory · Computer Science 2014-12-16 Zhiyuan Weng , Petar Djuric

Direction-of-Arrival (DOA) estimation in sensor arrays faces limitations under demanding conditions, including low signal-to-noise ratio, single-snapshot scenarios, coherent sources, and unknown source counts. Conventional beamforming…

Signal Processing · Electrical Eng. & Systems 2025-10-14 Xuyao Deng , Yong Dou , Kele Xu

In this paper, we propose a new method to design an annihilating filter (AF) for direction-of-arrival (DOA) estimation of multiple snapshots within an uniform linear array. To evaluate the proposed method, we firstly design a DOA estimation…

Sound · Computer Science 2021-10-14 Son Phan , Lam Pham

We address the problem of estimating direction-of-arrivals (DOAs) for multiple acoustic sources in a reverberant environment using a spherical microphone array. It is well-known that multi-source DOA estimation is challenging in the…

Audio and Speech Processing · Electrical Eng. & Systems 2019-12-30 Rohith Mars , Hiroyuki Ehara , Srikanth Nagisetty , Chong Soon Lim

The maximum likelihood (ML) and maximum a posteriori (MAP) estimation techniques are widely used to address the direction-of-arrival (DOA) estimation problems, an important topic in sensor array processing. Conventionally the ML estimators…

Applications · Statistics 2016-03-31 Xin Zhang , Mohammed Nabil El Korso , Marius Pesavento

The source number identification is an essential step in direction-of-arrival (DOA) estimation. Existing methods may provide a wrong source number due to inferior statistical properties (in low SNR or limited snapshots) or modeling errors…

Neural and Evolutionary Computing · Computer Science 2021-10-15 Bai Yan , Qi Zhao , Jin Zhang , J. Andrew Zhang , Xin Yao

In this paper, we propose a novel reduced-rank algorithm for direction of arrival (DOA) estimation based on the minimum variance (MV) power spectral evaluation. It is suitable to DOA estimation with large arrays and can be applied to…

Information Theory · Computer Science 2013-03-07 Lei Wang , Rodrigo C. de Lamare

Time-series forecasting increasingly demands not only accurate observational predictions but also causal forecasting under interventional and counterfactual queries in multivariate systems. We present DoFlow, a flow-based generative model…

Machine Learning · Statistics 2026-03-03 Dongze Wu , Feng Qiu , Yao Xie

We consider a road network represented by a directed graph. We assume to collect many measurements of traffic flows on all the network arcs, or on a subset of them. We assume that the users are divided into different groups. Each group…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Mattia Laurini , Irene Saccani , Stefano Ardizzoni , Luca Consolini , Marco Locatelli

Score-based approaches in the structure learning task are thriving because of their scalability. Continuous relaxation has been the key reason for this advancement. Despite achieving promising outcomes, most of these methods are still…

Machine Learning · Computer Science 2023-09-07 Quang-Duy Tran , Phuoc Nguyen , Bao Duong , Thin Nguyen

Living systems have time-evolving interactions that, until recently, could not be identified accurately from recorded time series in the presence of noise. Stankovski et al. (Phys. Rev. Lett. 109 024101, 2012) introduced a method based on…

Data Analysis, Statistics and Probability · Physics 2013-01-14 Andrea Duggento , Tomislav Stankovski , Peter V. E. McClintock , Aneta Stefanovska

Spatial process models are widely used for modeling point-referenced variables arising from diverse scientific domains. Analyzing the resulting random surface provides deeper insights into the nature of latent dependence within the studied…

Methodology · Statistics 2023-02-15 Aritra Halder , Sudipto Banerjee , Dipak K. Dey