The National Science Foundation (NSF) awarded a $395,910 Project Grant to the Massachusetts Institute of Technology (MIT) under the Mathematical and Physical Sciences (MPS) program (CFDA 47.049) to fund research on statistical and computational thresholds in spin glasses and graph inference problems. The 3-year project, which will run from September 1, 2024 to August 31, 2027, aims to develop new methods for analyzing long-range dependencies and characterizing the typical behaviors of large complex systems. The research has two main components: 1) questions on phase transitions in random graph inference problems, both statistical and computational, and 2) investigating statistical and algorithmic limits in random optimization problems, specifically in the context of mean-field spin glass models and random constraint satisfaction problems. Postdoctoral researchers, graduate and undergraduate students will be involved in the research. No subawards are planned for this award.
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