Recent advancements in large language models (LLMs) have led to significant improvements in their capabilities and efficiency. Models like GPT-4o and LLaMA-7B are trained on vast datasets, requiring immense computational resources. However, new approaches such as Consistency Large Language Models (CLLMs) and vLLM are emerging to address these challenges. CLLMs achieve a 3.4X speedup on the Spider dataset with moderate fine-tuning costs using Jacobi decoding, while vLLM, utilizing the PagedAttention algorithm, significantly enhances memory management like the Usain Bolt of LLM libraries. Additionally, innovative methods like eliminating resource-intensive matrix multiplication (MatMul) reduce memory requirements by up to 90%, potentially expanding AI use in consumer devices. Other optimization techniques include Medusa for parallel decoding and SnapKV for efficient key-value storage. The DCLM project has also released a 7B LLM achieving 64 MMLU, trained on 2T tokens, outperforming Llama2 models. Furthermore, GLM-4 closely rivals GPT-4 in various tasks, including MMLU, MATH, and GPQA.