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Showing posts with the label mathematics

GPT-5.2: Breaking New Ground in AI for Mathematics and Science

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Introduction to GPT-5.2 and Its Scientific Impact OpenAI's latest model, GPT-5.2, is advancing artificial intelligence capabilities specifically in the fields of mathematics and science. It achieves unprecedented performance on key benchmarks, demonstrating significant improvements in understanding complex concepts and generating accurate solutions. This progress marks a notable milestone in AI research, showing promise for enhancing scientific discovery. Benchmark Achievements: GPQA Diamond and FrontierMath GPT-5.2 has achieved state-of-the-art results on prominent evaluation sets such as GPQA Diamond and FrontierMath. These benchmarks assess the model's ability to handle challenging problems that require rigorous reasoning and deep scientific knowledge. Excelling in these tests indicates that GPT-5.2 can process and generate high-quality responses in domains that demand precision and logical clarity. Applications in Solving Open Theoretical Problems One of the most...

How AI and Automation Transform Mathematical Problem Solving: The Case of GPT-5 and Optimization Theory

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Introduction to AI in Mathematical Workflows Automation is changing many fields, including how complex mathematical problems are solved. Artificial intelligence (AI) tools now support researchers by handling tasks that once required extensive manual effort. This development enhances efficiency and opens new possibilities in mathematical discovery. Breakthrough in Optimization Theory Recently, a significant advancement occurred in optimization theory, a branch of mathematics focused on finding the best solutions under given constraints. A UCLA professor, Ernest Ryu, collaborated with the AI model GPT-5 to address a challenging question within this field. Their joint effort demonstrated how automation and AI can assist in solving intricate problems. The Role of GPT-5 in Mathematical Discovery GPT-5 is an advanced language model capable of understanding and generating complex text, including mathematical expressions and reasoning. In this case, GPT-5 helped analyze existing the...