Core Insights - DeepSeek's mHC architecture addresses numerical instability and signal explosion issues in large-scale training by extending traditional Transformer residual connections into a multi-stream parallel architecture [1][5] - The mHC model has garnered significant attention in the AI community, with successful reproductions yielding better results than the original DeepSeek paper [5][6] Group 1: mHC Architecture - The mHC model utilizes the Sinkhorn-Knopp algorithm to constrain the connection matrix to a doubly stochastic matrix manifold, ensuring stability during training [1][25] - Traditional residual connections in Transformers have remained unchanged since 2016, relying on a single information flow, while mHC introduces multiple parallel streams for enhanced expressiveness [9][14] - The mHC architecture maintains stability by preventing signal amplification, which can lead to catastrophic failures in large models [20][28] Group 2: Experimental Results - In experiments with 10M parameters, the original hyper-connection (HC) model exhibited a signal amplification of 9.2 times, while mHC maintained stability with an amplification of 1.0 [36][61] - Scaling up to 1.7B parameters, the HC model showed an alarming amplification of 10,924 times, highlighting the instability associated with larger models [54][66] - The experiments demonstrated that while HC models accumulate instability, mHC models consistently maintain structural integrity across different training conditions [70][71] Group 3: Implications and Future Directions - The findings suggest that while traditional residual connections are stable, they may not be optimal for larger models, as mHC offers a balance between expressiveness and stability [57][58] - Future research aims to explore scaling laws further, particularly at the 10B parameter scale, where significant amplification trends are anticipated [101] - The mHC approach not only mitigates instability but also eliminates the risk of catastrophic failures in large-scale training scenarios [93][96]