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Cosine similarity is widely used to measure the similarity between two embeddings, while interpretations based on angle and correlation coefficient are common. In this study, we focus on the interpretable axes of embeddings transformed by…

Computation and Language · Computer Science 2024-12-18 Hiroaki Yamagiwa , Momose Oyama , Hidetoshi Shimodaira

We consider the problem of multivariate density estimation when the unknown density is assumed to follow a particular form of dimensionality reduction, a noisy independent factor analysis (IFA) model. In this model the data are generated by…

Applications · Statistics 2009-06-17 Umberto Amato , Anestis Antoniadis , Alexander Samarov , Alexander Tsybakov

A recently proposed mutual information based algorithm for decomposing data into least dependent components (MILCA) is applied to spectral analysis, namely to blind recovery of concentrations and pure spectra from their linear mixtures. The…

Data Analysis, Statistics and Probability · Physics 2007-07-13 Sergey A. Astakhov , Harald Stögbauer , Alexander Kraskov , Peter Grassberger

Modeling non Gaussian and non stationary signals and images has always been one of the most important part of signal and image processing methods. In this paper, first we propose a few new models, all based on using hidden variables for…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ali Mohammad-Djafari

The Laser Interferometer Space Antenna (LISA) will observe gravitational waves in the millihertz frequency band, detecting signals from a vast number of astrophysical sources embedded in instrumental noise. Extracting individual signals…

Instrumentation and Methods for Astrophysics · Physics 2025-06-30 Niklas Houba

We investigate the information processing of a linear mixture of independent sources of different magnitudes. In particular we consider the case where a number $m$ of the sources can be considered as ``strong'' as compared to the other…

Statistical Mechanics · Physics 2007-05-23 J. -P. Nadal , E. Korutcheva , F. Aires

Beamforming in plane-wave imaging (PWI) is an essential step in creating images with optimal quality. Adaptive methods estimate the apodization weights from echo traces acquired by several transducer elements. Herein, we formulate…

Image and Video Processing · Electrical Eng. & Systems 2020-12-02 Sobhan Goudarzi , Amir Asif , Hassan Rivaz

In this work, we propose the joint linked component analysis (joint\_LCA) for multiview data. Unlike classic methods which extract the shared components in a sequential manner, the objective of joint\_LCA is to identify the view-specific…

Machine Learning · Statistics 2024-06-18 Lin Xiao , Luo Xiao

Compositional data represent a specific family of multivariate data, where the information of interest is contained in the ratios between parts rather than in absolute values of single parts. The analysis of such specific data is…

Unsupervised feature learning algorithms based on convolutional formulations of independent components analysis (ICA) have been demonstrated to yield state-of-the-art results in several action recognition benchmarks. However, existing…

Computer Vision and Pattern Recognition · Computer Science 2015-09-25 Sotirios P. Chatzis

We consider the problem of inferring causal relationships between two or more passively observed variables. While the problem of such causal discovery has been extensively studied especially in the bivariate setting, the majority of current…

Machine Learning · Statistics 2019-04-22 Ricardo Pio Monti , Kun Zhang , Aapo Hyvarinen

This paper investigates a general robust one-shot aggregation framework for distributed and federated Independent Component Analysis (ICA) problem. We propose a geometric median-based aggregation algorithm that leverages $k$-means…

Machine Learning · Computer Science 2025-05-28 Dian Jin , Xin Bing , Yuqian Zhang

We propose an ICA contrast based on the density estimation of the observed signal and its marginals by means of wavelets. The risk of the associated moment estimator is linked with approximation properties in Besov spaces. It is shown to…

Statistics Theory · Mathematics 2007-06-13 Pascal Barbedor

Signal separation and extraction are important tasks for devices recording audio signals in real environments which, aside from the desired sources, often contain several interfering sources such as background noise or concurrent speakers.…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Andreas Brendel , Thomas Haubner , Walter Kellermann

We propose a new algorithm for blind source separation (BSS) using independent vector analysis (IVA). This is an improvement over the popular auxiliary function based IVA (AuxIVA) with iterative projection (IP) or iterative source steering…

Signal Processing · Electrical Eng. & Systems 2021-05-20 Robin Scheibler

Encoding models provide a powerful framework for linking continuous stimulus features to neural activity; however, traditional voxelwise approaches are limited by measurement noise, inter-subject variability, and redundancy arising from…

Computation and Language · Computer Science 2026-04-29 Kamya Hari , Taha Binhuraib , Jin Li , Cory Shain , Anna A. Ivanova

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

We are interested in consistent estimation of the mixing matrix in the ICA model, when the error distribution is close to (but different from) Gaussian. In particular, we consider $n$ independent samples from the ICA model $X = A\epsilon$,…

Statistics Theory · Mathematics 2014-08-26 Alexander Sokol , Marloes H. Maathuis , Benjamin Falkeborg

There is a gap between the theoretical foundations of disentanglement and the practice of modern representation learning. Existing theoretical frameworks, particularly Independent Component Analysis (ICA) and its nonlinear variants, assume…

Machine Learning · Computer Science 2026-05-22 Edmond Cunningham

Commercial cellular networks, like the systems based on DS-CDMA, face many types of interferences such as multi-user interference inside each sector in a cell to interoperate interference. Independent Component Analysis (ICA) has been used…

Networking and Internet Architecture · Computer Science 2010-02-18 Sargam Parmar , Bhuvan Unhelkar
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