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Neural Geometry in Vision Models with Block-Sparse Featurizers

7 hours ago
  • #Computer Vision
  • #Neural Networks
  • #Interpretability
  • Block-Sparse Featurizers (BSF) decompose model activations into multidimensional subspaces instead of single directions, capturing concepts as manifolds.
  • BSFs outperform standard sparse autoencoders (SAEs) in recovering interpretable features and explaining model activations more efficiently, as shown in toy models and vision models like DINOv3.
  • Features found by BSFs enable fine-grained steering, allowing exploration of concept variations, such as different types of trees or pretzels, by moving within the multidimensional subspaces.
  • Most concepts in vision models are multidimensional, typically two- to four-dimensional, challenging the assumption that concepts are represented as one-dimensional lines.
  • BSFs reveal continuous structures in neural networks, such as curve detectors in InceptionV1, uncovering symmetries like Fourier harmonics that were previously fragmented.
  • The principle of block-sparsity is key, emphasizing that subspaces fire together, and different BSF variants (vanilla, Grassmannian, group-lasso) implement this with varying encoder/decoder designs.
  • Future work may involve adapting featurizers to different domains, as block-sparsity may not be universally optimal, and interpretability should align tools with the inherent geometry of model representations.