Some Remarks on Identifiability of Independent Component Analysis in Restricted Function Classes

Published: 31 Aug 2023, Last Modified: 31 Aug 2023Accepted by TMLREveryoneRevisionsBibTeX
Abstract: In this short note, we comment on recent results on identifiability of independent component analysis. We point out an error in earlier works and clarify that this error cannot be fixed as the chosen approach is not sufficiently powerful to prove identifiability results. In addition, we explain the necessary ingredients to prove stronger identifiability results. Finally, we discuss and extend the flow-based technique to construct spurious solutions for independent component analysis problems and provide a counterexample to an earlier identifiability result.
Submission Length: Regular submission (no more than 12 pages of main content)
Changes Since Last Submission: N/A
Supplementary Material: pdf
Assigned Action Editor: ~Pierre_Alquier1
License: Creative Commons Attribution 4.0 International (CC BY 4.0)
Submission Number: 1225