Rohan Paul· @rohanpaul_ai · X·· 3 小时前AI 评分35
AI 导读
数学从这里开始将以极快的速度发展。 在短短数小时内，研究人员就在不断发现新方法/新证明。 这是乘法超长数字的新方法，比之前最佳理论少浪费一点力气。 @0xdoug： 我们正在发布 OpenAI 问题 #109（整数乘法）的更新，进一步大幅收紧： κ = 2⁻⁵⁹（相比 OpenAI 最初的 κ = 2⁻¹⁸²） 相比我们之前的结果提升了约 50 万倍，相比 OpenAI 最初结果提升了 2¹²³ 倍。 最新方案重新设计了有限网络以共享中间计算和暂存空间，然后收紧了递归和高斯估计。
正文
Math will progress at a breakneck speed from here on.
in matter of hours researchers are finding new methods/proofs
Here's the new way for multiplying absurdly long numbers to waste a little less effort than the previous best theory allowed.
We are publishing an update to OpenAI problem #109 Integer multiplication) with another substantial further tightening: κ = 2⁻⁵⁹ (from OpenAI’s original κ = 2⁻¹⁸²) Approximately 500 thousand fold improvement over our previous result and a 2¹²³ fold improvement over the original OAI result. The latest redesigned the finite network to share intermediate computations and scratch space, then tightened the recursion and Gaussian estimates.在 X 查看被引用的帖子
来源：Rohan Paul · x.com