Learning Independent Features with Adversarial Nets for Non-linear ICA
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Abstract (arXiv)
Reliable measures of statistical dependence could be useful tools for learning independent features and performing tasks like source separation using Independent Component Analysis (ICA). Unfortunately, many of such measures, like the mutual information, are hard to estimate and optimize directly. We propose to learn independent features with adversarial objectives which optimize such measures implicitly. These objectives compare samples from the joint distribution and the product of the marginals without the need to compute any probability densities. We also propose two methods for obtaining samples from the product of the marginals using either a simple resampling trick or a separate parametric distribution. Our experiments show that this strategy can easily be applied to different types of model architectures and solve both linear and non-linear ICA problems.
Key facts. Cited by 33 papers in the map (data through 14 Oct 2026). First posted on arXiv 13 Oct 2017.
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Citing papers per year: 2021: 11; 2022: 8; 2023: 2; 2024: 5; 2025: 5; 2026: 2.
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- 2021AID-Purifier: A Light Auxiliary Network for Boosting Adversarial Defensecited by 10
- 2022Variance Covariance Regularization Enforces Pairwise Independence in Self-Supervised Representationscited by 10
- 2024DRIM: Learning Disentangled Representations from Incomplete Multimodal Healthcare Datacited by 10
- 2021A Normative and Biologically Plausible Algorithm for Independent Component Analysiscited by 8
- 2022Unsupervised Spike Depth Estimation via Cross-modality Cross-domain Knowledge Transfercited by 8
- 2021Innovations Autoencoder and its Application in One-class Anomalous Sequence Detectioncited by 7
- 2021CLIP-Lite: Information Efficient Visual Representation Learning with Language Supervisioncited by 7
- 2024Causal Contrastive Learning for Counterfactual Regression Over Timecited by 7
- 2021Estimating and Maximizing Mutual Information for Knowledge Distillationcited by 6
- 2021PluGeN: Multi-Label Conditional Generation From Pre-Trained Modelscited by 5
- 2025The Hidden Link Between RLHF and Contrastive Learningcited by 5
- 2021On the relationship between disentanglement and multi-task learningcited by 4
21 more
- 2021Representation Learning for Conversational Data using Discourse Mutual Information Maximizationcited by 4
- 2022A robust estimator of mutual information for deep learning interpretabilitycited by 4
- 2024An Independence-promoting Loss for Music Generation with Language Modelscited by 4
- 2021Discovery of Single Independent Latent Variablecited by 3
- 2022Deep Deterministic Independent Component Analysis for Hyperspectral Unmixingcited by 3
- 2022Disentangling Autoencoders (DAE)cited by 3
- 2024Enhancing the "Immunity" of Mixture-of-Experts Networks for Adversarial Defensecited by 3
- 2021Single-preparation unsupervised quantum machine learning: concepts and applicationscited by 2
- 2023Non-parametric Probabilistic Time Series Forecasting via Innovations Representationcited by 2
- 2025Half-AVAE: Adversarial-Enhanced Factorized and Structured Encoder-Free VAE for Underdetermined Independent Component Analysiscited by 2
- 2025Structured Kernel Regression VAE: A Computationally Efficient Surrogate for GP-VAEs in ICAcited by 2
- 2022Novelty Detection in Time Series via Weak Innovations Representation: A Deep Learning Approachcited by 1
- 2023Blind Source Separation of Single-Channel Mixtures via Multi-Encoder Autoencoderscited by 1
- 2025Adversarial Dependence Minimizationcited by 1
- 2026Refining the Information Bottleneck via Adversarial Information Separationcited by 1
- 2021Weakly Supervised Recovery of Semantic Attributescited by 0
- 2022Visual processing in context of reinforcement learningcited by 0
- 2022Semi-Blind Source Separation with Learned Constraintscited by 0
- 2024Grid Monitoring with Synchro-Waveform and AI Foundation Model Technologiescited by 0
- 2025Self-Supervised Autoencoder Network for Robust Heart Rate Extraction from Noisy Photoplethysmogram: Applying Blind Source Separation to Biosignal Analysiscited by 0
- 2026The Trade-off Between Covariate Dependence and Latent Structure in Representation Learningcited by 0
- 2026The Trade-off Between Covariate Dependence and Latent Structure in Representation Learning17 Aug 2026
- 2026Refining the Information Bottleneck via Adversarial Information Separation6 Feb 2026
- 2025Structured Kernel Regression VAE: A Computationally Efficient Surrogate for GP-VAEs in ICA13 Aug 2025
- 2025The Hidden Link Between RLHF and Contrastive Learning27 Jun 2025
- 2025Half-AVAE: Adversarial-Enhanced Factorized and Structured Encoder-Free VAE for Underdetermined Independent Component Analysis8 Jun 2025
- 2025Self-Supervised Autoencoder Network for Robust Heart Rate Extraction from Noisy Photoplethysmogram: Applying Blind Source Separation to Biosignal Analysis12 Apr 2025
- 2025Adversarial Dependence Minimization5 Feb 2025
- 2024DRIM: Learning Disentangled Representations from Incomplete Multimodal Healthcare Data25 Sep 2024
- 2024An Independence-promoting Loss for Music Generation with Language Models4 Jun 2024
- 2024Causal Contrastive Learning for Counterfactual Regression Over Time1 Jun 2024
- 2024Grid Monitoring with Synchro-Waveform and AI Foundation Model Technologies11 Mar 2024
- 2024Enhancing the "Immunity" of Mixture-of-Experts Networks for Adversarial Defense29 Feb 2024
21 more
- 2023Blind Source Separation of Single-Channel Mixtures via Multi-Encoder Autoencoders31 Aug 2023
- 2023Non-parametric Probabilistic Time Series Forecasting via Innovations Representation5 Jun 2023
- 2022A robust estimator of mutual information for deep learning interpretability31 Oct 2022
- 2022Novelty Detection in Time Series via Weak Innovations Representation: A Deep Learning Approach24 Oct 2022
- 2022Variance Covariance Regularization Enforces Pairwise Independence in Self-Supervised Representations29 Sep 2022
- 2022Semi-Blind Source Separation with Learned Constraints27 Sep 2022
- 2022Unsupervised Spike Depth Estimation via Cross-modality Cross-domain Knowledge Transfer26 Aug 2022
- 2022Visual processing in context of reinforcement learning26 Aug 2022
- 2022Disentangling Autoencoders (DAE)20 Feb 2022
- 2022Deep Deterministic Independent Component Analysis for Hyperspectral Unmixing7 Feb 2022
- 2021CLIP-Lite: Information Efficient Visual Representation Learning with Language Supervision14 Dec 2021
- 2021Representation Learning for Conversational Data using Discourse Mutual Information Maximization4 Dec 2021
- 2021A Normative and Biologically Plausible Algorithm for Independent Component Analysis17 Nov 2021
- 2021Estimating and Maximizing Mutual Information for Knowledge Distillation29 Oct 2021
- 2021Discovery of Single Independent Latent Variable12 Oct 2021
- 2021On the relationship between disentanglement and multi-task learning7 Oct 2021
- 2021PluGeN: Multi-Label Conditional Generation From Pre-Trained Models18 Sep 2021
- 2021AID-Purifier: A Light Auxiliary Network for Boosting Adversarial Defense14 Jul 2021
- 2021Innovations Autoencoder and its Application in One-class Anomalous Sequence Detection23 Jun 2021
- 2021Weakly Supervised Recovery of Semantic Attributes22 Mar 2021
- 2021Single-preparation unsupervised quantum machine learning: concepts and applications5 Jan 2021
- 2025The Hidden Link Between RLHF and Contrastive Learningcited by 5
- 2025The Hidden Link Between RLHF and Contrastive Learning27 Jun 2025
- 2021AID-Purifier: A Light Auxiliary Network for Boosting Adversarial Defensecited by 10
- 2022Variance Covariance Regularization Enforces Pairwise Independence in Self-Supervised Representationscited by 10
- 2024DRIM: Learning Disentangled Representations from Incomplete Multimodal Healthcare Datacited by 10
- 2021A Normative and Biologically Plausible Algorithm for Independent Component Analysiscited by 8
- 2021Innovations Autoencoder and its Application in One-class Anomalous Sequence Detectioncited by 7
- 2021CLIP-Lite: Information Efficient Visual Representation Learning with Language Supervisioncited by 7
- 2024Causal Contrastive Learning for Counterfactual Regression Over Timecited by 7
- 2021PluGeN: Multi-Label Conditional Generation From Pre-Trained Modelscited by 5
- 2021On the relationship between disentanglement and multi-task learningcited by 4
- 2021Representation Learning for Conversational Data using Discourse Mutual Information Maximizationcited by 4
- 2022A robust estimator of mutual information for deep learning interpretabilitycited by 4
- 2024An Independence-promoting Loss for Music Generation with Language Modelscited by 4
12 most cited of 29 All 29 (JSON)
- 2026The Trade-off Between Covariate Dependence and Latent Structure in Representation Learning17 Aug 2026
- 2026Refining the Information Bottleneck via Adversarial Information Separation6 Feb 2026
- 2025Structured Kernel Regression VAE: A Computationally Efficient Surrogate for GP-VAEs in ICA13 Aug 2025
- 2025Half-AVAE: Adversarial-Enhanced Factorized and Structured Encoder-Free VAE for Underdetermined Independent Component Analysis8 Jun 2025
- 2025Self-Supervised Autoencoder Network for Robust Heart Rate Extraction from Noisy Photoplethysmogram: Applying Blind Source Separation to Biosignal Analysis12 Apr 2025
- 2025Adversarial Dependence Minimization5 Feb 2025
- 2024DRIM: Learning Disentangled Representations from Incomplete Multimodal Healthcare Data25 Sep 2024
- 2024An Independence-promoting Loss for Music Generation with Language Models4 Jun 2024
- 2024Causal Contrastive Learning for Counterfactual Regression Over Time1 Jun 2024
- 2024Grid Monitoring with Synchro-Waveform and AI Foundation Model Technologies11 Mar 2024
- 2023Blind Source Separation of Single-Channel Mixtures via Multi-Encoder Autoencoders31 Aug 2023
- 2023Non-parametric Probabilistic Time Series Forecasting via Innovations Representation5 Jun 2023
12 newest of 29 All 29 (JSON)