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鄂维南院士做客线上“自然科学杰出演讲系列讲座” “Distinguished Lecture in Natural Sciences” by Prof. Weinan E

莫道浮云终蔽日,严冬过尽绽春蕾。4月14日上午,一场期待已久的学术讲座在线上如火如荼地展开。普林斯顿大学教授、中国科学院院士鄂维南做客自然科学研究院第三期“自然科学杰出演讲系列讲座”,以“机器学习的数学理论”为题为海内外师生带来一场精彩纷呈的学术报告。自然科学研究院院长金石、数学科学学院院长李从明和来自数学科学学院、物理与天文学院、致远学院以及海内外其他高校的900多名师生在“云端”相聚,共同参会。

鄂维南院士认为,数据科学中最为基础的就是机器学习,他从数学家的角度与大家分享机器学习的内容。鄂维南院士指出,机器学习需要处理的核心问题是维数灾难,因此我们需要建立一个高维数值分析理论,该理论会帮助理解何种模型和算法没有维数灾难。随后,鄂维南院士介绍了如何建立一个好的机器学习的数学模型,并就实际应用中某些有意思的现象进行解释。最后,鄂维南院士与师生在线上展开热烈讨论,并呼吁更多的年轻学者共同关注高维问题。

3月以来,受新冠肺炎疫情的影响,自然科学研究院的多个学术会议改为线上举行。截至目前,已线上举办国际学术会议1场,邀请海内外知名学者进行线上学术报告10场,平均每场参会者达200余人,学术活动反响热烈,受到海内外学者、师生的一致好评。

嘉宾介绍: 鄂维南,数学家,主要从事机器学习、计算数学、应用数学及其在力学、物理、化学和工程等领域中的应用等方面的研究。1999年成为普林斯顿大学数学系和应用数学及计算数学研究所教授;2011年当选为中国科学院院士;2012年入选美国数学学会会士。

Blossom by blossom the spring begins. On the morning of April 14, a long-awaited academic lecture was held online in full swing. Weinan E, a professor at Princeton University and an academician of the Chinese Academy of Sciences, was invited to deliver the 3rd “Distinguished Lecture in Natural Sciences” at INS. The lecture “A Mathematical Perspective of Machine Learning” has amazed teachers and students at home and abroad. Shi Jin, Director of the Institute of Natural Sciences, Congming Li, Dean of the School of Mathematical Sciences, and more than 900 teachers and students from the School of Mathematical Sciences, SJTU, School of Physics and Astronomy, SJTU, Zhiyuan College, SJTU, and other domestic and overseas universities gathered on the “cloud” to participate in the meeting.

Academician Weinan E believed that the foundation of data science is machine learning. He shared the concept of machine learning from the perspective of a mathematician. He pointed out that traditional approaches, such as approximation by piecewise polynomials, wavelets, or other linear combinations of fixed basis functions, suffer from the curse of dimensionality. He would present a framework that is suited for analyzing machine learning models and algorithms in high dimension, and present results that are free of the curse of dimensionality. Finally, Academician Weinan E had an in-depth discussion with teachers and students online, and called on more young scholars to pay close attention to high dimension problems.

Since March, due to the impact of the global pandemic, many academic conferences of INS have been held online. Up to now, INS has held 1 international academic conference, 10 online academic reports. The average number of participants per meeting is more than 200. The academic activities received unanimous praise from scholars, teachers and students at home and abroad.

Bio
Weinan E, mathematician, mainly engaged in the research of machine learning, computational mathematics, applied mathematics and their applications in the fields of mechanics, physics, chemistry and engineering. In 1999, he became a professor of the Department of Mathematics and Applied Mathematics and Computational Mathematics of Princeton University. In 2011, he was elected as academician of the Chinese Academy of Sciences. He was elected as fellow of the American Mathematical Society.