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This is a short post that explains how to write a high-performance matrix
multiplication program on modern processors. In this tutorial I will use a
single core of the Skylake-client CPU with AVX2, but the principles in this post
also apply to other processors with different instruction sets (such as AVX512).
Intro
Matrix multiplication is a mathematical operation that defines the product of
With the release of the ChatGPT model and followup large language models (LLMs), there was a lot of discussion of the importance of "RLHF training", that is, "reinforcement learning from human feedback".
I was puzzled for a while as to why RL (Reinforcement Learning) is better than learning from demonstrations (a.k.a supervised learning) for training language models. Shouldn't learning from demonstrations (or, in language model terminology "instruction fine tuning", learning to immitate human written answers) be sufficient? I came up with a theoretical argument that was somewhat convincing. But I came to realize there is an additional argumment which not only supports the case of RL training, but also requires it, in particular for models like ChatGPT. This additional argument is spelled out in (the first half of) a talk by John Schulman from OpenAI. This post pretty much