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Constructing Fair Latent Space for Intersection of Fairness and Explainability
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Proposes an invertible neural network module attached to a frozen pretrained generative model (DiffAE) that builds a fair latent space separating labels and sensitive attributes, enabling counterfactual explanations of fairness.
Problem
Existing fairness explanation methods explain overall model disparity or output variations rather than internal model behavior, and fair representation learning typically requires training whole generative/VAE models, which is costly and reduces reconstruction quality.
Approach
Train a small Glow-style invertible network on the latent space of a frozen pretrained diffusion autoencoder, using information-bottleneck-inspired losses (covariance diagonalization, variance equalization, and a distance loss pulling together same-label/different-sensitive samples and pushing apart same-sensitive/different-label samples) to disentangle label and sensitive information into separat
Key results
- On CelebA (Y=attractive, S=male), the proposed module reduces EO from 33.4 (DiffAE) to 5.9 and DP from 51.2 to 25.5, while raising WGA from 52.9 to 70.4.
- Training time on CelebAHQ 256 is 2.6 A6000-hours versus 1700.7 for DiffAE, roughly 1/654 of the cost.
- Average accuracy drops with the module (e.g., 78.1 to 75.2 on CelebA attractive), which the authors attribute to dependence on the frozen generator's performance.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace DiffAE latent space with the proposed fair latent space | DiffAE · CelebA attractive, male | EO: 33.4 -> 5.9 | Helped |
| Replace DiffAE latent space with the proposed fair latent space | DiffAE · CelebA attractive, male | WGA: 52.9 -> 70.4 | Helped |
| Replace DiffAE latent space with the proposed fair latent space | DiffAE · UTK Face male, young | WGA: 77.1 -> 82.5 | Mixed |
| Add an invertible neural network (ablation) | DiffAE · CelebA attractive, male | EO: 33.4 -> 26.5 | Helped |
| Add diagonalizing and equalizing losses (ablation) | +INN · CelebA attractive, male | EO: 26.5 -> 17.0 | Helped |
| Add the distance loss Ldi (ablation) | +Ldg,eq · CelebA attractive, male | EO: 17.0 -> 14.8 | Helped |
| Add Gaussianizing loss Lg (ablation) | +Ldi · CelebA attractive, male | EO: 14.8 -> 5.9 | Helped |
| Add decomposition without fairness losses (ablation) | INN · CelebA attractive, male | EO: 26.5 -> 21.6 | Helped |
| Add Ldg without decomposition (ablation) | INN · CelebA attractive, male | EO: 26.5 -> 25.6 | Helped |
| Add Ldg to decomposed representations (ablation) | INN with De · CelebA attractive, male | EO: 21.6 -> 19.5 | Helped |
| Add Leq after decomposition and Ldg (ablation) | INN with De and Ldg · CelebA attractive, male | EO: 19.5 -> 17.0 | Helped |
| Add Ldi without decomposition or Ldg/Leq (ablation) | INN · CelebA attractive, male | EO: 26.5 -> 32.0 | Hurt |
Surprising findings
- The label-dimension distance loss without the decomposition step yields little fairness gain, and the authors report that removing the label-information assumption makes the distance loss fail.
Limitations
- Average accuracy depends on the performance of the frozen pretrained generative model and can drop (e.g., CelebA attractive 78.1 to 75.2).
- Evaluated only on facial attribute datasets with binary, gender-related sensitive attributes.
- Gender classification of counterfactual images relies on CLIP zero-shot prompts as a proxy.
Experimental setup
Datasets: CelebA CelebA-HQ UTKFace
Benchmarks: CelebA CelebA-HQ UTKFace
Metrics: Equalized Odds (EO) Demographic Parity (DP) Worst-Group Accuracy (WGA) average accuracy
Baselines: DiffAE SimCLR SupCon FSCL
Builds on: Diffusion Autoencoder Glow information bottleneck FSCL noise-contrastive estimation
Closest papers by meaning
- Fairness without Demographics through Shared Latent Space-Based Debiasing (AAAI 2024 · similarity 0.87)
- Understanding Fairness and Prediction Error through Subspace Decomposition and Influence Analysis (NeurIPS 2025 · similarity 0.87)
- The Fragility of Fairness: Causal Sensitivity Analysis for Fair Machine Learning (NeurIPS 2024 · similarity 0.86)
- Reconciling Predictive and Statistical Parity: A Causal Approach (AAAI 2024 · similarity 0.86)
- Causal Fairness under Unobserved Confounding: A Neural Sensitivity Framework (ICLR 2024 · similarity 0.85)
- Causal Bias Detection in Generative Artifical Intelligence (NeurIPS 2026 · similarity 0.85)
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