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Artificial intelligence (AI) has the potential to aid new mathematical discoveries. Particularly as the amount of data available grows beyond what any person can study, AI can be useful in its power to identify patterns in data and refine relationships between properties. Sponsored by the National Science Foundation, the National Academies of Sciences, Engineering, and Medicine Board on Mathematical Sciences and Analytics convened a 3-day public virtual workshop on June 12-14, 2023, to bring together stakeholders to discuss the state of the art and current challenges and opportunities to advance research in using AI for mathematical reasoning. This publication summarizes the presentations and discussion of the workshop.
Additive manufacturing (AM), the process in which a three-dimensional (3D) object is built by adding subsequent layers of materials, enables novel material compositions and shapes, often without the need for specialized tooling. On March 11-13, 2024, the Board on Mathematical Sciences and Analytics of the National Academies held a workshop on Statistical and Data-Driven Methods for Additive Manufacturing. The workshop brought together researchers from different AM communities, statisticians, data scientists, and AI/machine learning (ML) experts to examine approaches that enhance dimensional accuracy and dimensional stability; recent advances and future directions in statistics, data analytics, AI, and ML; and the issues associated with a rapid advance of AM material qualification and part certification.
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