Original title: oHC: Orthogonal Hyper-Connections on SO(4) via Quaternions
Haoqiang Guo, Xuyi Chen, Bo Ke, Yishu Lei +4 · September 2026
In neural networks, information often flows through a single path called a residual streamA pathway in a model that carries information without direct modification.. Hyper-ConnectionsA modification in neural networks where multiple data streams are mixed instead of one residual stream. add multiple parallel streams and mix them together. Previous mixing methods either grew too large, causing instability, or made the streams too similar over time. oHC mixes them by rotating the streams, which keeps their size steady and their differences distinct. This leads to better training stability and performance.
Imagine a family packing for a trip, with each person responsible for different items. If they swap items without a plan, they might end up with duplicates or lose essential variety over time. In this paper, the model has parallel data streams like these items. Mixing them carelessly reduces their diversity. Here, the mixing is done by rotating which items are prioritized, keeping the pack balanced without losing or adding anything.
This helps people training large neural networks get more reliable results without instability. It means models can be deeper and more accurate across different tasks, which affects researchers and engineers building AI systems.
The abstract does not specify if this method works for other numbers of streams beyond four. It is evaluated on a set of tasks, but the exact scope is not detailed. It focuses on modifying Hyper-Connections within Transformers.
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oHC: Orthogonal Hyper-Connections on SO(4) via Quaternions — Haoqiang Guo, Xuyi Chen, Bo Ke et al.
Abstract licence: CC0
Explanation generated by Synthesis from the abstract — it is not the original paper. This is a preprint, so it hasn't necessarily been peer reviewed.