arXiv Machine Learning
Sep 17

Transformation Laws in Neural Representations: Structure, Realisability, and Construction

The paper investigates how neural representations maintain the structure of input changes, linking representation analysis with internal interventions. It characterises when transformations can be applied through an encoder, providing linear settings where defects depend on discarded information and detailing failure modes for rectifiers and harmonic carriers. Using colour as a case study, the authors show that hue orbits in frozen visual features concentrate most energy in the first two harmonics, that this structure is inherited from input and architecture, and that a compact, fixed‑action interface can read hue zero‑shot with low error on unseen shapes.

By Yuan Sun
arXiv AI
Sep 3

Looped Transformers under the Jacobian Lens: Does the Global Workspace Survive Recurrence?

The paper investigates whether a global workspace—a set of verbalisable, causally potent representations—emerges in transformer models that use recurrence instead of a stack of distinct layers. Using a Jacobian lens extended with a virtual‑unrolling adapter, the authors analyze two recurrent transformer architectures, Ouro‑2.6B and Huginn‑0125, and compare them to a standard Qwen3.6‑27B baseline. They find that a workspace does form in the iterated parts of both models, but recurrence alters how it can be accessed: Ouro reconstructs workspace content in every loop and requires writes and ablations across all loops, whereas Huginn forwards content across all recurrences but limits reads, writes, and ablations to a sliding window of about two recurrences.

By Wenlong Wang, Fergal Reid