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This paper presents a post-processing algorithm for training fair neural network regression models that satisfy statistical parity, utilizing an explainable singular value decomposition (SVD) of the weight matrix. We propose a linear…

Machine Learning · Computer Science 2025-04-07 Zhiqun Zuo , Ding Zhu , Mohammad Mahdi Khalili

In this article, we consider the sparse tensor singular value decomposition, which aims for dimension reduction on high-dimensional high-order data with certain sparsity structure. A method named Sparse Tensor Alternating Thresholding for…

Statistics Theory · Mathematics 2024-07-09 Anru Zhang , Rungang Han

This paper tackles the challenge of one-bit off-grid direction of arrival (DOA) estimation in a single snapshot scenario based on a learning-based Bayesian approach. Firstly, we formulate the off-grid DOA estimation model, utilizing the…

Signal Processing · Electrical Eng. & Systems 2024-12-17 Yunqiao Hu , Shunqiao Sun , Yimin D. Zhang

By singular value decomposition (SVD) of a numerically singular Hessian matrix and a numerically singular system of linear equations for the experimental data (accumulated in the respective ${\chi ^2}$ function) and constraints, least…

High Energy Physics - Phenomenology · Physics 2014-08-27 Mehrdad Goshtasbpour

Significant progress has been made in ultrasonic guided wave (UGW) technology for pipe signal processing and defect imaging recently. However, developing a defect localization and imaging algorithm that requires fewer parameters, offers a…

Applied Physics · Physics 2025-10-09 Shuangshuang Li , Kai Zhao

Direction of Arrival (DOA) estimation of mixed uncorrelated and coherent sources is a long existing challenge in array signal processing. Application of compressive sensing to array signal processing has opened up an exciting class of…

Signal Processing · Electrical Eng. & Systems 2018-09-10 Abhishek Aich , P. Palanisamy

The direction-of-arrival (DOA) estimation problem involves the localization of a few sources from a limited number of observations on an array of sensors, thus it can be formulated as a sparse signal reconstruction problem and solved…

Information Theory · Computer Science 2017-02-22 Angeliki Xenaki , Peter Gerstoft

A recent trend of research on direction-of-arrival (DOA) estimation is to localize more uncorrelated sources than sensors by using a proper sparse linear array (SLA) and the Toeplitz covariance structure, at a cost of robustness to source…

Signal Processing · Electrical Eng. & Systems 2022-03-28 Zai Yang , Xinyao Chen , Xunmeng Wu

Sound source localization is crucial in acoustic sensing and monitoring-related applications. In this paper, we do a comprehensive analysis of improvement in sound source localization by combining the direction of arrivals (DOAs) with their…

Audio and Speech Processing · Electrical Eng. & Systems 2022-12-13 Ruchi Pandey , Shreyas Jaiswal , Huy Phan , Santosh Nannuru

Single-snapshot direction-of-arrival (DOA) estimation using sparse linear arrays (SLAs) has gained significant attention in the field of automotive MIMO radars. This is due to the dynamic nature of automotive settings, where multiple…

Signal Processing · Electrical Eng. & Systems 2023-09-18 Yunqiao Hu , Shunqiao Sun

The tensor-train (TT) decomposition is widely used to compress large tensors into a more compact form by exploiting their inherent data structures. A fundamental approach for constructing the TT format is the well-known TT-SVD method, which…

Numerical Analysis · Mathematics 2026-05-26 Yuchao Wang , Maolin Che , Yimin Wei

This paper tackles the challenging problem of gridless two-dimensional (2D) direction-of-arrival (DOA) estimation for a uniform circular array (UCA) from a single snapshot of data. Conventional gridless methods often fail in this scenario…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Salar Nouri

This work addresses the problem of direction-of-arrival (DOA) estimation in the presence of non-Gaussian, heavy-tailed, and spatially-colored interference. Conventionally, the interference is considered to be Gaussian-distributed and…

Signal Processing · Electrical Eng. & Systems 2023-07-06 Stefan Feintuch , Joseph Tabrikian , Igal Bilik , Haim H. Permuter

Two-dimensional (2D) Multiple Signal Classification algorithm is a powerful technique for high-resolution direction-of-arrival (DOA) estimation in array signal processing. However, the exhaustive search over the 2D an-gular domain leads to…

Signal Processing · Electrical Eng. & Systems 2025-07-29 Bo Zhou , Kaijie Xu , Yinghui Quan , Mengdao Xing

The Koopman autoencoder, a data-driven technique, has gained traction for modeling nonlinear dynamics using deep learning methods in recent years. Given the linear characteristics inherent to the Koopman operator, controlling its…

Machine Learning · Computer Science 2024-08-22 Jinho Choi , Sivaram Krishnan , Jihong Park

We present a novel learning-based approach to estimate the direction-of-arrival (DOA) of a sound source using a convolutional recurrent neural network (CRNN) trained via regression on synthetic data and Cartesian labels. We also describe an…

Sound · Computer Science 2020-02-11 Zhenyu Tang , John D. Kanu , Kevin Hogan , Dinesh Manocha

Singular Value Decomposition (SVD) constitutes a bridge between the linear algebra concepts and multi-layer neural networks---it is their linear analogy. Besides of this insight, it can be used as a good initial guess for the network…

Machine Learning · Computer Science 2019-09-16 Bernhard Bermeitinger , Tomas Hrycej , Siegfried Handschuh

In the field of large language model (LLM) compression, singular value decomposition (SVD) is a widely studied and adopted low-rank decomposition technique. Since SVD operates exclusively on linear modules, and these modules in LLMs are…

Machine Learning · Computer Science 2025-10-23 Lin Xv , Jingsheng Gao , Xian Gao , Ting Liu , Yuzhuo Fu

Achieving high-resolution Direction of Arrival (DoA) recovery typically requires high Signal to Noise Ratio (SNR) and a sufficiently large number of snapshots. This paper presents NUV-DoA algorithm, that augments Bayesian sparse…

Signal Processing · Electrical Eng. & Systems 2023-12-27 Mengyuan Zhao , Guy Revach , Tirza Routtenberg , Nir Shlezinger

The incremental singular value decomposition (SVD) updates a truncated SVD as new columns arrive, replacing a single large SVD with a sequence of small ones. In floating-point arithmetic, each update multiplies the running singular basis by…

Numerical Analysis · Mathematics 2026-05-05 Yangwen Zhang
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