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Analysis of spatial multivariate data, i.e., measurements at irregularly-spaced locations, is a challenging topic in visualization and statistics alike. Such data are integral to many domains, e.g., indicators of valuable minerals are…

Human-Computer Interaction · Computer Science 2023-08-15 Nikolaus Piccolotto , Markus Bögl , Christoph Muehlmann , Klaus Nordhausen , Peter Filzmoser , Silvia Miksch

The blind source separation model for multivariate time series generally assumes that the observed series is a linear transformation of an unobserved series with temporally uncorrelated or independent components. Given the observations, the…

Statistics Theory · Mathematics 2017-09-04 Joni Virta , Klaus Nordhausen

We address the convolutive blind source separation problem for the (over-)determined case where (i) the number of nonstationary target-sources $K$ is less than that of microphones $M$, and (ii) there are up to $M - K$ stationary Gaussian…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-20 Rintaro Ikeshita , Tomohiro Nakatani , Shoko Araki

Quantum-optimal discrimination between one and two closely separated light sources can be achieved by ideal spatial-mode demultiplexing, simply monitoring whether a photon is detected in a single antisymmetric mode. However, we show that…

Fully-supervised models for source separation are trained on parallel mixture-source data and are currently state-of-the-art. However, such parallel data is often difficult to obtain, and it is cumbersome to adapt trained models to mixtures…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-30 Ge Zhu , Jordan Darefsky , Fei Jiang , Anton Selitskiy , Zhiyao Duan

We investigate which loss functions provide better separations via benchmarking an extensive set of those for music source separation. To that end, we first survey the most representative audio source separation losses we identified, to…

Sound · Computer Science 2022-02-17 Enric Gusó , Jordi Pons , Santiago Pascual , Joan Serrà

Blind source separation (BSS), particularly independent component analysis (ICA), has been widely used in various fields of science such as biomedical signal processing to recover latent source signals from the observed mixture. While ICA…

Methodology · Statistics 2026-01-14 Miro Arvila , Klaus Nordhausen , Mika Sipilä , Sara Taskinen

Independent deeply learned matrix analysis (IDLMA) is one of the state-of-the-art supervised multichannel audio source separation methods. It blindly estimates the demixing filters on the basis of source independence, using the source model…

It is well known that separation between lossy source coding and channel coding is asymptotically optimal under classical additive distortion measures. Recently, coding under a new class of quality considerations, often referred to as…

Information Theory · Computer Science 2025-07-02 Chao Tian , Jun Chen , Krishna Narayanan

Blind deconvolution over graphs involves using (observed) output graph signals to obtain both the inputs (sources) as well as the filter that drives (models) the graph diffusion process. This is an ill-posed problem that requires additional…

Signal Processing · Electrical Eng. & Systems 2023-09-19 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

We consider the problem of estimating the phases of K mixed complex signals from a multichannel observation, when the mixing matrix and signal magnitudes are known. This problem can be cast as a non-convex quadratically constrained…

Sound · Computer Science 2017-03-21 Antoine Deleforge , Yann Traonmilin

Multivariate measurements taken at different spatial locations occur frequently in practice. Proper analysis of such data needs to consider not only dependencies on-sight but also dependencies in and in-between variables as a function of…

Methodology · Statistics 2024-04-12 Christoph Muehlmann , Peter Filzmoser , Klaus Nordhausen

We present a new source separation method which maximizes the likelihood of a model of noisy mixtures of stationary, possibly Gaussian, independent components. The method has been devised to address the problem of imaging CMB anisotropies.…

Consider a discrete memoryless multiple source with $m$ components of which $k \leq m$ possibly different sources are sampled at each time instant and jointly compressed in order to reconstruct all the $m$ sources under a given distortion…

Information Theory · Computer Science 2016-07-15 Vinay Praneeth Boda , Prakash Narayan

Single channel blind source separation (SCBSS) refers to separate multiple sources from a mixed signal collected by a single sensor. The existing methods for SCBSS mainly focus on separating two sources and have weak generalization…

Machine Learning · Computer Science 2021-11-23 Ting Liu , Wenwu Wang , Xiaofei Zhang , Zhenyin Gong , Yina Guo

The Z Transform is a mathematical operation in signal processing, which gives a tractable way to solve linear, constant-coefficient difference equations. Based on the classical Z transform and inspired by the thought of sliding DFT, a new…

Signal Processing · Electrical Eng. & Systems 2018-08-21 Peng-fei Xu , Yin-jie Jia , Zhi-jian Wang

We propose a novel unsupervised singing voice detection method which use single-channel Blind Audio Source Separation (BASS) algorithm as a preliminary step. To reach this goal, we investigate three promising BASS approaches which operate…

Sound · Computer Science 2018-05-04 Dominique Fourer , Geoffroy Peeters

Supervised deep learning approaches to underdetermined audio source separation achieve state-of-the-art performance but require a dataset of mixtures along with their corresponding isolated source signals. Such datasets can be extremely…

This letter proposes a new blind source separation (BSS) framework termed minimum variance independent component analysis (MVICA), which can potentially achieve the maximum output signal-to-interference ratio (SIR) while also allowing more…

Sound · Computer Science 2022-03-09 Jianju Gu , Longbiao Cheng , Dingding Yao , Junfeng Li , Yonghong Yan

Reverse engineering of music mixes aims to uncover how dry source signals are processed and combined to produce a final mix. We extend the prior works to reflect the compositional nature of mixing and search for a graph of audio processors.…

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