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When additional information sources are available in decision making problems that allow stochastic optimization formulations, an important question is how to optimally use the information the sources are capable of providing. A framework…

Data Analysis, Statistics and Probability · Physics 2013-02-04 Eugene Perevalov , David Grace

Blind Source Separation is a widely used technique to analyze multichannel data. In many real-world applications, its results can be significantly hampered by the presence of unknown outliers. In this paper, a novel algorithm coined rGMCA…

Applications · Statistics 2016-04-26 Cecile Chenot , Jerome Bobin , Jeremy Rapin

Blind source separation (BSS) is a very popular technique to analyze multichannel data. In this context, the data are modeled as the linear combination of sources to be retrieved. For that purpose, standard BSS methods all rely on some…

Applications · Statistics 2015-06-23 Jerome Bobin , Jeremy Rapin , Anthony Larue , Jean-Luc Starck

The current state-of-the-art model HiAGM for hierarchical text classification has two limitations. First, it correlates each text sample with all labels in the dataset which contains irrelevant information. Second, it does not consider any…

Computation and Language · Computer Science 2021-04-13 Zhongfen Deng , Hao Peng , Dongxiao He , Jianxin Li , Philip S. Yu

We study the problem of separating audio sources from a single linear mixture. The goal is to find a decomposition of the single channel spectrogram into a sum of individual contributions associated to a certain number of sources. In this…

Sound · Computer Science 2012-12-14 Augustin Lefèvre , François Glineur , P. -A. Absil

Independent Component Analysis (ICA) is intended to recover the mutually independent sources from their linear mixtures, and F astICA is one of the most successful ICA algorithms. Although it seems reasonable to improve the performance of F…

Machine Learning · Statistics 2022-02-09 YunPeng Li

In this paper, we adopt the maximizing mutual information (MI) approach to tackle the problem of unsupervised learning of binary hash codes for efficient cross-modal retrieval. We proposed a novel method, dubbed Cross-Modal Info-Max Hashing…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Tuan Hoang , Thanh-Toan Do , Tam V. Nguyen , Ngai-Man Cheung

In this paper, we develop structure assisted nonnegative matrix factorization (NMF) methods for blind source separation of degenerate data. The motivation originates from nuclear magnetic resonance (NMR) spectroscopy, where a multiple…

Numerical Analysis · Mathematics 2021-03-10 Yuanchang Sun , Kai Huang , Jack Xin

The extended infomax algorithm for independent component analysis (ICA) can separate sub- and super-Gaussian signals but converges slowly as it uses stochastic gradient optimization. In this paper, an improved extended infomax algorithm is…

Methodology · Statistics 2024-04-10 Nicole Ille

While mutual information effectively quantifies dependence between two variables, it does not by itself reveal the complex, fine-grained interactions among variables, i.e., how multiple sources contribute redundantly, uniquely, or…

Information Theory · Computer Science 2026-05-05 Aobo Lyu , Andrew Clark , Netanel Raviv

We introduce Polytopic Matrix Factorization (PMF) as a novel data decomposition approach. In this new framework, we model input data as unknown linear transformations of some latent vectors drawn from a polytope. In this sense, the article…

Machine Learning · Statistics 2022-02-22 Gokcan Tatli , Alper T. Erdogan

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

Non-negative blind source separation (BSS) has raised interest in various fields of research, as testified by the wide literature on the topic of non-negative matrix factorization (NMF). In this context, it is fundamental that the sources…

Machine Learning · Statistics 2013-10-21 Jérémy Rapin , Jérôme Bobin , Anthony Larue , Jean-Luc Starck

Independent vector analysis (IVA) is an attractive solution to address the problem of joint blind source separation (JBSS), that is, the simultaneous extraction of latent sources from several datasets implicitly sharing some information.…

Optimization and Control · Mathematics 2024-11-20 Clément Cosserat , Ben Gabrielson , Emilie Chouzenoux , Jean-Christophe Pesquet , Tülay Adali

Independent component analysis is an unsupervised learning approach for computing the independent components (ICs) from the multivariate signals or data matrix. The ICs are evaluated based on the multiplication of the weight matrix with the…

We propose a novel method for unsupervised semantic image segmentation based on mutual information maximization between local and global high-level image features. The core idea of our work is to leverage recent progress in self-supervised…

Computer Vision and Pattern Recognition · Computer Science 2021-10-08 Robert Harb , Patrick Knöbelreiter

Independent Vector Analysis (IVA) is an effective approach for Blind Source Separation (BSS) of convolutive mixtures of audio signals. As a practical realization of an IVA-based BSS algorithm, the so-called AuxIVA update rules based on the…

Audio and Speech Processing · Electrical Eng. & Systems 2020-09-22 Andreas Brendel , Walter Kellermann

Unified multimodal large language models (MLLMs) aim to unify image understanding and image generation within a single framework, where a shared visual tokenizer serves as the sole interface that maps high-dimensional images into a limited…

Machine Learning · Computer Science 2026-04-07 Lv Tang , Tianyi Zheng , Bo Li , Xingyu Li

We give under weak assumptions a complete combinatorial characterization of identifiability for linear mixtures of finite alphabet sources, with unknown mixing weights and unknown source signals, but known alphabet. This is based on a…

Methodology · Statistics 2017-09-01 Merle Behr , Axel Munk

Extraordinary amounts of data are being produced in many branches of science. Proven statistical methods are no longer applicable with extraordinary large data sets due to computational limitations. A critical step in big data analysis is…

Methodology · Statistics 2019-06-27 HaiYing Wang , Min Yang , John Stufken
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