<p>There is a field of mathematics - convex optimization. It seeks to determine how to properly choose the "step" in computations so that the algorithm converges quickly and does not break. For a long time, people knew the limit: the step can be taken up to 1.5/L. Beyond that, errors begin.</p>
<p>GPT-5-pro was able to find a more accurate boundary - 1.75/L. This means that algorithms can work a bit faster and more efficiently than previously thought. The most interesting part: the model did not just repeat a known solution, but derived a new mathematical result that was not previously found in articles.</p>
<p>The community reacted differently to this. Mathematician Ernest Ryu said it was impressive because it falls within his research area. Others noted that this is more of a clarification of old ideas rather than the emergence of fundamentally new mathematics. But whatβs important is that AI has, for the first time, automatically made a step forward in a place where it usually takes months of work by scientists.</p>
<p>Critics say: the model itself did not "invent" the problem; it was given a direction. Supporters respond: even the clarification of boundaries, which previously required deep knowledge, can now be automated.</p>
<p>π¨βπ Scientific article "pinned" by ChatGPT: <a href="https://arxiv.org/pdf/2503.10138v1">https://arxiv.org/pdf/2503.10138v1</a><br />π Source: <a href="https://x.com/SebastienBubeck/status/1958198661139009862">https://x.com/SebastienBubeck/status/1958198661139009862</a></p>;
#ai #agi #openai #math
<p>βββββββββ<br />ΠΡΡΠ»ΠΈ Π Π²Π°ΡΠ΅Π²Π°<br />βββββββββ</p>
