Spring Lecture Series in Computational and Applied Mathematics

该奖项为2022年5月4日至6日在阿肯色州费耶特维尔的阿肯色大学举办的春季系列讲座(SLS)提供了参与者支持，该系列讲座的主题是“数值线性代数：从科学计算到数据科学应用”。数值线性代数是许多科学和工程领域的核心，无论是在求解由物理现象模拟产生的线性系统时，还是在与数据相关的应用中获得优化问题的各种解时。随着我们周围的世界在现有数据的帮助下逐步被分析或建模，遇到的计算问题的类型正在发生变化，因此该领域目前正在经历一场深刻的变革。系列讲座的主要演讲人Yousef Saad将在五个系列讲座中概述科学计算和数据科学学科中使用的方法。为了在科学计算和数据科学之间架起一座桥梁，讲座的目标之一是向科学计算领域的非专业人士介绍数据科学技术。此外，还将举办十场一小时的特邀演讲者讲座以及青年研究人员的海报和口头陈述会议，旨在为不同计算科学领域内和不同计算科学领域之间的思想和专业知识交流提供机会。此外，Sabine Van Huffel教授的公开讲座将向广大社区开放，重点是矩阵/张量代数和数据驱动的人工智能(AI)在数字医疗中的力量。STEM中的妇女小组旨在提供一个交流思想和经验的环境，目的是促进研究的多样性和促进未被充分代表的群体参与STEM。讲座将介绍数值线性代数的基本思想，重点是那些有可能在数据科学中发挥重要作用的方法，包括特征值和奇异值问题、稀疏矩阵技术、基于图形的方法、Krylov子空间方法和预条件。部分讲座将专门讨论数据科学中的具体问题，涵盖基于图表的方法、随机化方法、网络分析、降维和神经网络等主题的应用。这一系列讲座将为早期职业研究人员和研究生提供独特的机会，让他们与各自研究领域的知名专家互动。更多信息可在https://fulbright.uark.edu/departments/math/research/spring-lecture-series/index.phpThis获得，该奖项反映了国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This award provides participant support for the Spring Lecture Series (SLS) on `Numerical linear algebra: from scientific computing to data science applications' at the University of Arkansas in Fayetteville, Arkansas, on May 4-6, 2022. Numerical linear algebra is at the core of many fields of science and engineering, whether in solving linear systems that arise from simulations of physical phenomena, or in obtaining various solutions of optimization problems in data related applications. As the world around us is progressively being analyzed or modeled with the help of available data, the types of computational problems encountered are changing, and as a result the field is currently undergoing a deep transformation. The principal speaker at the lecture series, Yousef Saad, will present an overview of methodologies that are used in both the scientific computing and data science disciplines in a series of five lectures. To build a bridge between Scientific Computing and Data Science, one of the goals of the lectures is to introduce data science techniques to non-specialists in scientific computing. Additionally, there will be ten one-hour lectures by invited speakers as well as poster and oral presentation sessions by young researchers which are intended to provide an opportunity for the exchange of ideas and expertise within and between the various computational science domains. Furthermore, a public lecture by Professor Sabine Van Huffel will be accessible to the community at large, and will focus on the power of matrix/tensor algebra and data-driven artificial intelligence (AI) in digital healthcare. A Women in STEM panel in intended to provide an environment for sharing of ideas and experiences with the goal of fostering diversity in research and promoting the participation of underrepresented groups in STEM.The lectures will present fundamental ideas of numerical linear algebra with an emphasis on those methods that have the potential to play an important role in data science, including eigenvalue and singular value problems, sparse matrix techniques, graph-based methods, Krylov subspaces methods, and preconditioning. Part of the lectures will be devoted to specific problems of in data science, covering applications of graph-based methods, randomization methods, network analysis, dimension reduction, and neural networks, among other themes. This lecture series will provide unique opportunities for early career researchers and graduate students to interact with prominent experts in their research areas. More information is available at https://fulbright.uark.edu/departments/math/research/spring-lecture-series/index.phpThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.