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A general framework for principal component analysis (PCA) in the presence of heteroskedastic noise is introduced. We propose an algorithm called HeteroPCA, which involves iteratively imputing the diagonal entries of the sample covariance…

Statistics Theory · Mathematics 2021-04-02 Anru R. Zhang , T. Tony Cai , Yihong Wu

High-dimensional image data often require dimensionality reduction before further analysis. This paper provides a purely analytical comparison of two linear techniques-Principal Component Analysis (PCA) and Singular Value Decomposition…

Computer Vision and Pattern Recognition · Computer Science 2025-06-27 Michael Gyimadu , Gregory Bell , Ph. D

This paper introduces a novel method for transmitting video data over noisy wireless channels with high efficiency and controllability. The method derivates from model division multiple access (MDMA) to extract common semantic features from…

Computational Engineering, Finance, and Science · Computer Science 2023-08-11 Zhicheng Bao , Haotai Liang , Chen Dong , Cong Li , Xiaodong Xu , Ping Zhang

We propose a novel sparse representation for heavily underdetermined multichannel sound mixtures, i.e., with much more sources than microphones. The proposed approach operates in the complex Fourier domain, thus preserving spatial…

Sound · Computer Science 2014-10-10 Antoine Deleforge , Walter Kellermann

The generalized singular value decomposition (GSVD) is a valuable tool that has many applications in computational science. However, computing the GSVD for large-scale problems is challenging. Motivated by applications in hyper-differential…

Numerical Analysis · Mathematics 2020-02-10 Arvind K. Saibaba , Joseph Hart , Bart van Bloemen Waanders

Disentangling content and speaking style information is essential for zero-shot non-parallel voice conversion (VC). Our previous study investigated a novel framework with disentangled sequential variational autoencoder (DSVAE) as the…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-22 Jiachen Lian , Chunlei Zhang , Gopala Krishna Anumanchipalli , Dong Yu

Ambisonics, a popular format of spatial audio, is the spherical harmonic (SH) representation of the plane wave density function of a sound field. Many algorithms operate in the SH domain and utilize the Ambisonics as their input signal. The…

Audio and Speech Processing · Electrical Eng. & Systems 2024-03-01 Bar Shaybet , Anurag Kumar , Vladimir Tourbabin , Boaz Rafaely

Domain generalization (DG), aiming at models able to work on multiple unseen domains, is a must-have characteristic of general artificial intelligence. DG based on single source domain training data is more challenging due to the lack of…

Computer Vision and Pattern Recognition · Computer Science 2023-04-17 Qingyue Yang , Hongjing Niu , Pengfei Xia , Wei Zhang , Bin Li

The randomized singular value decomposition (R-SVD) is a popular sketching-based algorithm for efficiently computing the partial SVD of a large matrix. When the matrix is low-rank, the R-SVD produces its partial SVD exactly; but when the…

Information Theory · Computer Science 2023-07-07 Elad Romanov

With an unprecedented increase in the number of agents and systems that aim to navigate the real world using visual cues and the rising impetus for 3D Vision Models, the importance of depth estimation is hard to understate. While supervised…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Snehal Singh Tomar , Maitreya Suin , A. N. Rajagopalan

Acoustic velocity vectors (AVVs) are related to the human's perception of sound at low frequencies and are widely used in Ambisonics. This paper proposes a spatial sound field reproduction algorithm called velocity matching, which…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-06 Jiarui Wang , Thushara Abhayapala , Jihui Aimee Zhang , Prasanga Samarasinghe

While existing speech audio codecs designed for compression exploit limited forms of temporal redundancy and allow for multi-scale representations, they tend to represent all features of audio in the same way. In contrast, generative voice…

Sound · Computer Science 2025-09-22 Ryan Collette , Ross Greenwood , Serena Nicoll

We propose a spatial compounding technique and variational framework to improve 3D ultrasound image quality by compositing multiple ultrasound volumes acquired from different probe orientations. In the composite volume, instead of intensity…

Computer Vision and Pattern Recognition · Computer Science 2018-04-04 Jyotirmoy Banerjee , Premal A. Patel , Fred Ushakov , Donald Peebles , Jan Deprest , Sebastien Ourselin , David Hawkes , Tom Vercauteren

Multiple signal classification (MUSIC) has been widely applied in multiple-input multiple-output (MIMO) receivers for direction-of-arrival (DOA) estimation. To reduce the cost of radio frequency (RF) chains operating at millimeter-wave…

Information Theory · Computer Science 2021-06-22 Yinsheng Liu , Yiwei Yan , Li You , Wenji Wang , Hongtao Duan

This article applies low-cost singular value decomposition (lcSVD) for the first time, to the authors knowledge, on combustion reactive flow databases. The lcSVD algorithm is a novel approach to SVD, suitable for calculating high-resolution…

Fluid Dynamics · Physics 2025-04-01 Prajith Pillai , Ashton Hetherington , Laura Saavedra Sago , Soledad Le Clainche

This article introduces a novel methodology that integrates singular value decomposition (SVD) with a shallow linear neural network for forecasting high resolution fluid mechanics data. The method, termed LC-SVD-DLinear, combines a low-cost…

Fluid Dynamics · Physics 2024-11-27 Ashton Hetherington , Javier López Leonés , Soledad Le Clainche

By representing documents as mixtures of topics, topic modeling has allowed the successful analysis of datasets across a wide spectrum of applications ranging from ecology to genetics. An important body of recent work has demonstrated the…

Statistics Theory · Mathematics 2025-01-03 Yating Liu , Claire Donnat

An effective approach to non-parallel voice conversion (VC) is to utilize deep neural networks (DNNs), specifically variational auto encoders (VAEs), to model the latent structure of speech in an unsupervised manner. A previous study has…

Audio and Speech Processing · Electrical Eng. & Systems 2020-04-09 Wen-Chin Huang , Hsin-Te Hwang , Yu-Huai Peng , Yu Tsao , Hsin-Min Wang

As a major breakthrough in artificial intelligence and deep learning, Convolutional Neural Networks have achieved an impressive success in solving many problems in several fields including computer vision and image processing. Real-time…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Laura Meneghetti , Nicola Demo , Gianluigi Rozza

In this paper, we present a Hybrid Spectral Denoising Transformer (HSDT) for hyperspectral image denoising. Challenges in adapting transformer for HSI arise from the capabilities to tackle existing limitations of CNN-based methods in…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Zeqiang Lai , Chenggang Yan , Ying Fu