On April 24, the Center for Statistics and Machine Learning (CSML) and the Princeton Institute for Computational Science and Engineering (PICSciE) teamed up to host their first ever joint graduate certificate colloquium. Throughout the afternoon, students enrolled in the graduate certificate programs in Statistics and Machine Learning (SML) and Computational Science and Engineering (CSE) presented their research. The interdisciplinary group of students discussed their findings as they relate to statistics and machine learning and computational science.
“Computing has an impact on basically every discipline,” said Michael E. Mueller, associate chair and professor of mechanical and aerospace engineering and director of the graduate certificate in computational science and engineering.
Before the presentations started, Mueller noted that the program purposefully didn’t identify which presenters were from the SML certificate program versus the CSE certificate program. “That was on purpose,” said Mueller. “So that the audience can see how similar the two really are in utilizing computing for a wide range of activities.”
“The overlap between SML and computational methods is increasing,” echoed Tom Griffiths, professor of psychology and computer science and director of CSML. “It’s a chance for people to have their horizons broadened.”
Impact across disciplines
Eight graduate students from six different departments were granted 20 minutes each to discuss their research at the colloquium. From plasma physics to neuroscience, each of the students discussed the ways in which machine learning and computational science helped forward discovery in their work.
From the Department of Geosciences, Joseph Lockwood presented on short-duration, high impact hurricanes. Lockwood used machine learning to develop models of the rain shape and rain rate intensity of tropical cyclones. He trained the model on a set of 26 historical tropical cyclone events and found that in the end it could accurately capture the predicted rainfall of an event. “The model worked really well,” said Lockwood. (In a convenient, real life illustration of rain fall, a localized rain shower occurred during Lockwood’s presentation.)
Marie-Lou Laprise from the Department of Sociology is evaluating the reasoning capabilities of large language models. With new LLMs constantly coming out, “It’s really hard to assess what they’re capable of,” said Laprise. Enter the benchmark test LEGAL-MIX, with which Laprise is evaluating the abstraction capabilities of LLMs by seeing how well they can follow legal fact patterns. Laprise said with a lot of benchmark tests, LLMs could get answers right – but for the wrong reasons. LEGAL-MIX is a way of testing the shortcomings of chatbots. Laprise said she’s interested in future work studying whether improving the legal reasoning of LLMs improves their reasoning in other areas, such as mathematics.
In the Department of Chemistry, Charles Maher is using computational methods to study a state of randomly configured, mechanically rigid, non overlapping objects. This state of maximally random jammed packing is hyperuniform – meaning there’s a suppression of large wavelength density fluctuations as compared to typical liquids. Maher’s work explored the importance of the link between strictly jamming and hyperuniformity in the packing.
Presenters Tal Rubin, Luther Yap, Nick McGreivy, Jamie Chin Chiu, and Dingyun Liu additionally gave talks about their use of computational methods for understanding questions in plasma physics, economics, and psychology.
“It was wonderful to see the range of topics that students pursuing the Statistics and Machine Learning graduate certificate have been working on,” said Griffiths. “I learned a lot from the talks by the Computational Science and Engineering students.”
“Computing has become an invaluable tool across all disciplines as evidenced by a fantastic set of presentations,” said Mueller. “Common themes, approaches, and algorithms are used, and events such as the joint colloquium allow for exchange and diffusion of ideas across seemingly unrelated disciplines.”