Core Viewpoint - The article discusses a novel training paradigm for large language models (LLMs) called POET (Reparameterized Training via Orthogonal Equivalence Transformation), which aims to enhance training efficiency and stability based on first principles [2][3]. Group 1: POET Methodology - POET introduces structural reparameterization of each neuron by incorporating two learnable orthogonal matrices and a fixed random weight matrix, maintaining the singular value distribution of weights during training [3][11]. - The method combines singular value invariance with minimal hyperspherical energy, providing a new paradigm that offers both physical interpretability and generalization capability for large model training [3][11]. - POET's training process is designed to stabilize the optimization process and significantly improve model generalization performance [3][11]. Group 2: Advantages of POET - POET maintains the spectral properties of the weight matrix throughout training, ensuring that the singular values remain consistent with the randomly initialized matrix [17]. - The method allows for efficient parameter control and avoids the issue of excessively large singular values that can occur in standard LLM training [17]. - Two new initialization strategies, normalized Gaussian initialization and uniform spectrum initialization, are proposed to ensure bounded singular values in the generated weight matrices [17]. Group 3: Training Dynamics and Performance - The article presents experimental results demonstrating POET's superior performance in training large language models, including improvements in perplexity and training efficiency compared to traditional methods like AdamW [20][24]. - POET's training process is divided into three phases: conical shell searching, stable learning on the conical shell, and final adjusting, which reflects the evolution of the orthogonal matrices during training [40][41]. - The use of a fully stochastic sampling approach in POET allows for a significant reduction in memory costs compared to traditional methods, enhancing scalability [26][27].