当一道世界级数学难题在上海与AI相遇

Core Insights - The article discusses a significant breakthrough in solving the "kissing number problem," a mathematical challenge that has persisted for over 300 years, achieved through the collaboration of AI and researchers from Shanghai, Peking University, and Fudan University [3][4]. Group 1: Kissing Number Problem - The kissing number problem involves determining the maximum number of identical spheres that can touch another identical sphere in N-dimensional space, with historical debates dating back to Isaac Newton and David Gregory [4]. - Recent advancements have been made in high-dimensional spaces, particularly by Marina Viazovska, who received the Fields Medal for her work on the 8-dimensional and 24-dimensional cases [4]. Group 2: AI's Role in Research - The research team utilized AI to tackle the kissing number problem, with the belief that AI could enhance mathematical problem-solving capabilities, despite skepticism from some mathematicians [6][7]. - The development of the PackingStar reinforcement learning system led to the discovery of new optimal packing structures in dimensions 25-31 and over 6000 new solutions in various dimensions [8]. Group 3: Collaborative Research Environment - The collaborative environment in Shanghai allows young researchers to lead projects based on innovative ideas, emphasizing the importance of interdisciplinary teamwork in solving complex scientific problems [10]. - The integration of AI in mathematical research represents a paradigm shift, where AI acts as a partner in scientific exploration, potentially accelerating the pace of discovery [8][10].