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Independent Component Analysis (ICA) was introduced in the 1980's as a model for Blind Source Separation (BSS), which refers to the process of recovering the sources underlying a mixture of signals, with little knowledge about the source…

Statistics Theory · Mathematics 2026-02-09 Syamantak Kumar , Purnamrita Sarkar , Peter Bickel , Derek Bean

Compressive learning forms the exciting intersection between compressed sensing and statistical learning where one exploits forms of sparsity and structure to reduce the memory and/or computational complexity of the learning task. In this…

Machine Learning · Statistics 2021-10-18 Michael P. Sheehan , Mike E. Davies

This study utilizes Independent Component Analysis (ICA) to unveil a consistent semantic structure within embeddings of words or images. Our approach extracts independent semantic components from the embeddings of a pre-trained model by…

Computation and Language · Computer Science 2023-11-03 Hiroaki Yamagiwa , Momose Oyama , Hidetoshi Shimodaira

Unsupervised representation learning seeks to recover latent generative factors, yet standard methods relying on statistical independence often fail to capture causal dependencies. A central challenge is identifiability: as established in…

Machine Learning · Computer Science 2025-12-30 Hans Jarett J. Ong , Brian Godwin S. Lim , Dominic Dayta , Renzo Roel P. Tan , Kazushi Ikeda

Independent component analysis (ICA) has become a standard data analysis technique applied to an array of problems in signal processing and machine learning. This tutorial provides an introduction to ICA based on linear algebra formulating…

Machine Learning · Computer Science 2014-04-14 Jonathon Shlens

We consider independent component analysis of binary data. While fundamental in practice, this case has been much less developed than ICA for continuous data. We start by assuming a linear mixing model in a continuous-valued latent space,…

Machine Learning · Computer Science 2022-08-03 Antti Hyttinen , Vitória Barin-Pacela , Aapo Hyvärinen

Word embeddings represent words as multidimensional real vectors, facilitating data analysis and processing, but are often challenging to interpret. Independent Component Analysis (ICA) creates clearer semantic axes by identifying…

Computation and Language · Computer Science 2024-06-19 Rongzhi Li , Takeru Matsuda , Hitomi Yanaka

Independent component analysis (ICA) is popular in many applications, including cognitive neuroscience and signal processing. Due to computational constraints, principal component analysis is used for dimension reduction prior to ICA…

Methodology · Statistics 2017-10-03 Benjamin B. Risk , David S. Matteson , David Ruppert

Independent Component Analysis (ICA) is a statistical tool that decomposes an observed random vector into components that are as statistically independent as possible. ICA over finite fields is a special case of ICA, in which both the…

Machine Learning · Statistics 2018-11-14 Amichai Painsky , Saharon Rosset , Meir Feder

Identifying low-dimensional latent structures within high-dimensional data has long been a central topic in the machine learning community, driven by the need for data compression, storage, transmission, and deeper data understanding.…

Machine Learning · Statistics 2025-03-28 Ye Tian , Sanyou Wu , Long Feng

We introduce a new general identifiable framework for principled disentanglement referred to as Structured Nonlinear Independent Component Analysis (SNICA). Our contribution is to extend the identifiability theory of deep generative models…

In the independent component model, the multivariate data is assumed to be a mixture of mutually independent latent components, and in independent component analysis (ICA) the aim is to estimate these latent components. In this paper we…

Statistics Theory · Mathematics 2020-06-23 Jari Miettinen , Markus Matilainen , Klaus Nordhausen , Sara Taskinen

Although supervised deep learning has revolutionized speech and audio processing, it has necessitated the building of specialist models for individual tasks and application scenarios. It is likewise difficult to apply this to dialects and…

Iterative self-training, or iterative pseudo-labeling (IPL) -- using an improved model from the current iteration to provide pseudo-labels for the next iteration -- has proven to be a powerful approach to enhance the quality of speaker…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-22 Zakaria Aldeneh , Takuya Higuchi , Jee-weon Jung , Li-Wei Chen , Stephen Shum , Ahmed Hussen Abdelaziz , Shinji Watanabe , Tatiana Likhomanenko , Barry-John Theobald

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

Recently, pioneer work finds that speech pre-trained models can solve full-stack speech processing tasks, because the model utilizes bottom layers to learn speaker-related information and top layers to encode content-related information.…

Audio and Speech Processing · Electrical Eng. & Systems 2021-12-17 Chengyi Wang , Yu Wu , Sanyuan Chen , Shujie Liu , Jinyu Li , Yao Qian , Zhenglu Yang

Many self-supervised speech models, varying in their pre-training objective, input modality, and pre-training data, have been proposed in the last few years. Despite impressive successes on downstream tasks, we still have a limited…

Computation and Language · Computer Science 2023-03-20 Ankita Pasad , Bowen Shi , Karen Livescu

In this work, we present a method for learning interpretable music signal representations directly from waveform signals. Our method can be trained using unsupervised objectives and relies on the denoising auto-encoder model that uses a…

Audio and Speech Processing · Electrical Eng. & Systems 2020-07-02 Stylianos I. Mimilakis , Konstantinos Drossos , Gerald Schuller

The framework of variational autoencoders allows us to efficiently learn deep latent-variable models, such that the model's marginal distribution over observed variables fits the data. Often, we're interested in going a step further, and…

Machine Learning · Statistics 2020-12-22 Ilyes Khemakhem , Diederik P. Kingma , Ricardo Pio Monti , Aapo Hyvärinen

Nonlinear independent component analysis (ICA) is a general framework for unsupervised representation learning, and aimed at recovering the latent variables in data. Recent practical methods perform nonlinear ICA by solving a series of…

Machine Learning · Computer Science 2019-11-04 Hiroaki Sasaki , Takashi Takenouchi , Ricardo Monti , Aapo Hyvärinen