Since the introduction of ResNet in 2015, the Residual Connection has been a fundamental component in deep learning, providing a solution to the vanishing gradient problem. However, its rigid 1:1 input-to-computation ratio limits the model's ability to dynamically balance past and new information. DeepSeek's innovation with Manifold-Constrained Hyper-Connections (mHC) addresses this by allowing models to learn connection weights, offering faster convergence and improved performance. By constraining these weights to be "Double Stochastic," mHC ensures stability and prevents exploding gradients, outperforming traditional methods and reducing training time impact. This advancement challenges long-held assumptions in AI architecture, promoting open-source collaboration for broader technological progress.
