DCI-ES: An Extended Disentanglement Framework with Connections to Identifiability
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Abstract (arXiv)
In representation learning, a common approach is to seek representations which disentangle the underlying factors of variation. Eastwood & Williams (2018) proposed three metrics for quantifying the quality of such disentangled representations: disentanglement (D), completeness (C) and informativeness (I). In this work, we first connect this DCI framework to two common notions of linear and nonlinear identifiability, thereby establishing a formal link between disentanglement and the closely-related field of independent component analysis. We then propose an extended DCI-ES framework with two new measures of representation quality - explicitness (E) and size (S) - and point out how D and C can be computed for black-box predictors. Our main idea is that the functional capacity required to use a representation is an important but thus-far neglected aspect of representation quality, which we quantify using explicitness or ease-of-use (E). We illustrate the relevance of our extensions on the MPI3D and Cars3D datasets.
Key facts. Cited by 23 papers in the map (data through 7 Oct 2026). Builds on 28 of its 43 references that are in the map. First posted on arXiv 1 Oct 2022.
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28 of 43 references.
References · 28
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- 2018Disentangling by Factorisingcited by 614
- 2019Fantastic Generalization Measures and Where to Find Themcited by 507
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- 2019Variational Autoencoders and Nonlinear ICA: A Unifying Frameworkcited by 494
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- 2018Isolating Sources of Disentanglement in Variational Autoencoderscited by 167
- 2019Deep ReLU Networks Have Surprisingly Few Activation Patternscited by 160
- 2015Deep Convolutional Inverse Graphics Networkcited by 121
- 2018Robustly Disentangled Causal Mechanisms: Validating Deep Representations for Interventional Robustnesscited by 108
- 2018Learning Deep Disentangled Embeddings with the F-Statistic Losscited by 101
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Citing papers per year: 2023: 8; 2024: 6; 2025: 5; 2026: 4.
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- 2023Interpretability is in the Mind of the Beholder: A Causal Framework for Human-interpretable Representation Learning14 Sep 2023
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- 2023Enriching Disentanglement: From Logical Definitions to Quantitative Metrics19 May 2023
- 2023Concept Algebra for (Score-Based) Text-Controlled Generative Models7 Feb 2023
- 2024Disentangling Representations through Multi-task Learning15 Jul 2024
- 2023Nonparametric Identifiability of Causal Representations from Unknown Interventionscited by 105
- 2023Disentanglement via Latent Quantizationcited by 40
- 2023Interpretability is in the Mind of the Beholder: A Causal Framework for Human-interpretable Representation Learningcited by 22
- 2023From Identifiable Causal Representations to Controllable Counterfactual Generation: A Survey on Causal Generative Modelingcited by 21
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- 2025From Isolation to Entanglement: When Do Interpretability Methods Identify and Disentangle Known Concepts?cited by 5
- 2023Enriching Disentanglement: From Logical Definitions to Quantitative Metricscited by 2
- 2025From Pixels to Factors: Learning Independently Controllable State Variables for Reinforcement Learningcited by 2
12 most cited of 20 All 20 (JSON)
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- 2026A framework for analyzing concept representations in neural models2 May 2026
- 2026Who Guards the Guardians? The Challenges of Evaluating Identifiability of Learned Representations27 Feb 2026
- 2026Temporal Fusion Nexus: A task-agnostic multi-modal embedding model for clinical narratives and irregular time series in post-kidney transplant care13 Jan 2026
- 2025From Isolation to Entanglement: When Do Interpretability Methods Identify and Disentangle Known Concepts?17 Dec 2025
- 2025Operationalizing Quantized Disentanglement25 Nov 2025
- 2025From Pixels to Factors: Learning Independently Controllable State Variables for Reinforcement Learning2 Oct 2025
- 2025Representational Similarity via Interpretable Visual Concepts19 Mar 2025
- 2025Disentanglement Analysis in Deep Latent Variable Models Matching Aggregate Posterior Distributions26 Jan 2025
- 2024Exploring the Effectiveness of Object-Centric Representations in Visual Question Answering: Comparative Insights with Foundation Models22 Jul 2024
- 2024Measuring Orthogonality in Representations of Generative Models4 Jul 2024
- 2024Identifiable Causal Representation Learning: Unsupervised, Multi-View, and Multi-Environment19 Jun 2024
12 newest of 20 All 20 (JSON)