# An Information Maximization Based Blind Source Separation Approach for Dependent and Independent Sources

Source: [An Information Maximization Based Blind Source Separation Approach for Dependent and Independent Sources](<https://www.sota2.com/research/paper/68fa592f1e209131ce9b4ca7>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T15:45:26.114Z

Authors: Alper T. Erdogan

Published: 2022-05-02T10:25:44.000Z

## Abstract

We introduce a new information maximization (infomax) approach for the blind source separation problem. The proposed framework provides an information-theoretic perspective for determinant maximization-based structured matrix factorization methods such as nonnegative and polytopic matrix factorization. For this purpose, we use an alternative joint entropy measure based on the log-determinant of covariance, which we refer to as log-determinant (LD) entropy. The corresponding (LD) mutual information between two vectors reflects a level of their correlation. We pose the infomax BSS criterion as the maximization of the LD-mutual information between the input and output of the separator under the constraint that the output vectors lie in a presumed domain set. In contrast to the ICA infomax approach, the proposed information maximization approach can separate both dependent and independent sources. Furthermore, we can provide a finite sample guarantee for the perfect separation condition in the noiseless case.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

- [Sparse Source Separation on Sparse source realizations 30dB input SNR (test)](<https://www.sota2.com/research/sota/sparse-source-separation-on-sparse-source-realizations-30db-input-snr-test.md>): Sparse source separation; Sparse source realizations 30dB input SNR (test); SINR: 30.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2205.00794>)

[PDF](<https://arxiv.org/pdf/2205.00794.pdf>)
