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Blind source separation (BSS) is a signal processing tool, which is widely used in various fields. Examples include biomedical signal separation, brain imaging and economic time series applications. In BSS, one assumes that the observed $p$…

Statistics Theory · Mathematics 2017-09-04 Jari Miettinen , Katrin Illner , Klaus Nordhausen , Hannu Oja , Sara Taskinen , Fabian J. Theis

We present a parameter-decoupled superresolution framework for estimating sub-wavelength separations of passive two-point sources without requiring prior knowledge or control of the source. Our theoretical foundation circumvents the need to…

The TRINICON ('Triple-N ICA for convolutive mixtures') framework is an effective blind signal separation (BSS) method for separating sound sources from convolutive mixtures. It makes full use of the non-whiteness, non-stationarity and…

Audio and Speech Processing · Electrical Eng. & Systems 2018-02-27 Zelin Wang , Jing Lu , Kai chen

The noisy binary linear problem (NBLP) is known as a computationally hard problem, and therefore, it offers primitives for post-quantum cryptography. An efficient quantum NBLP algorithm that exhibits a polynomial quantum sample and time…

Quantum Physics · Physics 2022-10-17 Wooyeong Song , Youngrong Lim , Kabgyun Jeong , Jinhyoung Lee , Jung Jun Park , M. S. Kim , Jeongho Bang

In this paper, we show that slow feature analysis (SFA), a common time series decomposition method, naturally fits into the flow-based models (FBM) framework, a type of invertible neural latent variable models. Building upon recent advances…

Machine Learning · Computer Science 2020-07-21 Edouard Pineau , Sébastien Razakarivony , Thomas Bonald

This work provides several new insights on the robustness of Kearns' statistical query framework against challenging label-noise models. First, we build on a recent result by \cite{DBLP:journals/corr/abs-2006-04787} that showed noise…

Machine Learning · Statistics 2020-10-20 Ioannis Anagnostides , Themis Gouleakis , Ali Marashian

This study introduces a novel formulation to enhance Support Vector Machines (SVMs) in handling class imbalance and noise. Unlike the conventional Soft Margin SVM, which penalizes the magnitude of constraint violations, the proposed model…

Machine Learning · Computer Science 2025-03-20 Seyed Mojtaba Mohasel , Hamidreza Koosha

Nonnegative matrix factorization (NMF) under the separability assumption can provably be solved efficiently, even in the presence of noise, and has been shown to be a powerful technique in document classification and hyperspectral unmixing.…

Machine Learning · Statistics 2015-04-02 Nicolas Gillis , Stephen A. Vavasis

This work examines a semi-blind single-channel source separation problem. Our specific aim is to separate one source whose local structure is approximately known, from another a priori unspecified background source, given only a single…

Sound · Computer Science 2015-01-27 Sirisha Rambhatla , Jarvis D. Haupt

In this paper we propose a new criterion for the Blind Source Separation (BSS) of antisparse bounded sources, based on the sum of the $\ell_\infty$-norm of the sources. Based on the observation that the mixing process of bounded sources…

Signal Processing · Electrical Eng. & Systems 2026-04-13 Renan D. B. Brotto , Kenji Nose-Filho , João M. T. Romano

In many daily-life scenarios, acoustic sources recorded in an enclosure can only be observed with other interfering sources. Hence, convolutive Blind Source Separation (BSS) is a central problem in audio signal processing. Methods based on…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-12 Andreas Brendel , Thomas Haubner , Walter Kellermann

Multichannel blind source separation (MBSS), which focuses on separating signals of interest from mixed observations, has been extensively studied in acoustic and speech processing. Existing MBSS algorithms, such as independent low-rank…

Sound · Computer Science 2025-04-08 Jianyu Wang , Shanzheng Guan , Zhengqiao Zhao , Nicolas Dobigeon , Jingdong Chen

Radio frequency sources are observed at a fusion center via sensor measurements made over slow flat-fading channels. The number of sources may be larger than the number of sensors, but their activity is sparse and intermittent with bursty…

Signal Processing · Electrical Eng. & Systems 2019-08-07 Annan Dong , Osvaldo Simeone , Alexander Haimovich , Jason Dabin

Approximate joint diagonalization of a set of matrices provides a powerful framework for numerous statistical signal processing applications. For non-unitary joint diagonalization (NUJD) based on the least-squares (LS) criterion, outliers,…

Signal Processing · Electrical Eng. & Systems 2021-07-14 Wenjuan Liu , Dazheng Feng , Bingnan Pei , Mengdao Xing , Xinhong Meng , Qianru Wei

In this paper, we address the multichannel blind source extraction (BSE) of a single source in diffuse noise environments. To solve this problem even faster than by fast multichannel nonnegative matrix factorization (FastMNMF) and its…

Data-driven modeling plays an increasingly important role in different areas of engineering. For most of existing methods, such as genetic programming (GP), the convergence speed might be too slow for large scale problems with a large…

Optimization and Control · Mathematics 2017-06-29 Chen Chen , Changtong Luo , Zonglin Jiang

Blind methods often separate or identify signals or signal subspaces up to an unknown scaling factor. Sometimes it is necessary to cope with the scaling ambiguity, which can be done through reconstructing signals as they are received by…

Sound · Computer Science 2017-08-02 Zbyněk Koldovský , Francesco Nesta

Layer-wise mixed-precision quantization (LMPQ) enables effective compression under extreme low-bit settings by allocating higher precision to sensitive layers. However, existing methods typically treat all intra-layer weight modules…

The independent low-rank matrix analysis (ILRMA) method stands out as a prominent technique for multichannel blind audio source separation. It leverages nonnegative matrix factorization (NMF) and nonnegative canonical polyadic decomposition…

Sound · Computer Science 2024-05-07 Jianyu Wang , Shanzheng Guan

This paper deals with the problem of informed source separation (ISS), where the sources are accessible during the so-called \textit{encoding} stage. Previous works computed side-information during the encoding stage and source separation…

Sound · Computer Science 2022-02-21 Naoya Takahashi , Yuki Mitsufuji