Selective Inference for Deep Clustering in Latent Spaces

arXiv:2609.28756 · stat.ML, cs.LG · Submitted 2026-09-23 · Read on arXiv

stat.ML, cs.LG

Submitted: 2026-09-23

Updated: 2026-09-23

Code: https://github.com/mizuieinanagoyaml/si4ae-clustering

Terminology

• Clustering — 112× in this paper · explained in 2 episodes
• Latent Space — 15× in this paper · explained in 7 episodes
• Selection Bias — 11× in this paper · explained in 4 episodes
• Latent Representation — 9× in this paper · explained in 2 episodes
• Robustness — 6× in this paper · explained in 5 episodes
• Latent Representations — 5× in this paper · explained in 3 episodes
• Representation Learning — 5× in this paper · explained in 2 episodes
• Feature Selection — 3× in this paper · explained in 4 episodes
• Transformer — 3× in this paper · explained in 2 episodes
• Aggregation — 2× in this paper · explained in 1 episode
• Core — 2× in this paper · explained in 2 episodes
• Multi-Layer Perceptron — 2× in this paper
• Post-Selection — 2× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Ablation — 1× in this paper · explained in 1 episode
• Ablation study — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Distance Preservation — 1× in this paper · explained in 2 episodes
• Homogeneity — 1× in this paper · explained in 2 episodes
• Interpretability — 1× in this paper · explained in 15 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Reconstruction Error — 1× in this paper · explained in 2 episodes
• Wasserstein Distance — 1× in this paper · explained in 4 episodes

Sources

• Optimal Inference After Model Selection
• si4onnx: A Python package for Selective Inference in Deep Learning Models
• Statistical Test for Anomaly Detections by Variational Auto-Encoders
• Statistical Testing Framework for Clustering Pipelines by Selective Inference

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