# The Inductive Bottleneck: Data-Driven Emergence of Representational Sparsity in Vision Transformers

Source: [The Inductive Bottleneck: Data-Driven Emergence of Representational Sparsity in Vision Transformers](<https://www.sota2.com/research/paper/6937ad596cfd488761a4ecc1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-07-18T05:00:05.624Z

Authors: Kanishk Awadhiya

Published: 2025-12-08T09:18:32.000Z

## Abstract

Vision Transformers (ViTs) lack the hierarchical inductive biases inherent to Convolutional Neural Networks (CNNs), theoretically allowing them to maintain high-dimensional representations throughout all layers. However, recent observations suggest ViTs often spontaneously manifest a "U-shaped" entropy profile-compressing information in middle layers before expanding it for the final classification. In this work, we demonstrate that this "Inductive Bottleneck" is not an architectural artifact, but a data-dependent adaptation. By analyzing the layer-wise Effective Encoding Dimension (EED) of DINO-trained ViTs across datasets of varying compositional complexity (UC Merced, Tiny ImageNet, and CIFAR-100), we show that the depth of the bottleneck correlates strongly with the semantic abstraction required by the task. We find that while texture-heavy datasets preserve high-rank representations throughout, object-centric datasets drive the network to dampen high-frequency information in middle layers, effectively "learning" a bottleneck to isolate semantic features.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2512.07331>)

[PDF](<https://arxiv.org/pdf/2512.07331.pdf>)
