Recall that a barycentric coordinate system is given with respect to a -dimensional simplex, where is no larger than the dimensional space. Given a set of scattered points, it’s possible to create a tessellation of the space by forming simplices from the points, such that any input point that lies within the convex hull of the scattered set can be expressed in terms of the enclosing simplex and its corresponding barycentric coordinates2. This can be understood as a kind of triangulated irregular network (TIN).
在印度 Express Adda 的论坛上，Sam Altman 聊了很多 AI 话题，从 AGI 到中美 AI 竞争，再到数据中心用水问题。但最火的那段，是他回应 AI 能耗批评时说的：「人们总谈训练 AI 模型需要多少能源……但训练人类也需要大量能源，得花 20 年时间，消耗那么多食物，才能变聪明。」，推荐阅读Line官方版本下载获取更多信息
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In recent years, LLMs have shown significant improvements in their overall performance. When they first became mainstream a couple of years before, they were already impressive with their seemingly human-like conversation abilities, but their reasoning always lacked. They were able to describe any sorting algorithm in the style of your favorite author; on the other hand, they weren't able to consistently perform addition. However, they improved significantly, and it's more and more difficult to find examples where they fail to reason. This created the belief that with enough scaling, LLMs will be able to learn general reasoning.