no code implementations • 3 Jul 2023 • Chandrika Kamath, Juliette S. Franzman
We show how we can use the randomness of both the random projections, and the choice of initial centroids in k-means clustering, to determine the number of clusters in our data set.
no code implementations • 3 Jul 2023 • Chandrika Kamath, Juliette S. Franzman, Brian H. Daub
The characteristics of our data set are unique - the vector-valued outputs from each simulation are available at over two million spatial locations; each simulation is run for a relatively small number of time steps; the size of the computational domain varies with each simulation; and resource constraints limit the number of simulations we can run.
no code implementations • 7 Jun 2023 • Chandrika Kamath, Juliette Franzman, Ravi Ponmalai
Solving inverse problems, where we find the input values that result in desired values of outputs, can be challenging.
no code implementations • 6 Jun 2023 • Chandrika Kamath
Sampling techniques are used in many fields, including design of experiments, image processing, and graphics.
no code implementations • 18 May 2023 • Chandrika Kamath
Poincar\'e plots, also called Poincar\'e maps, are used by plasma physicists to understand the behavior of magnetically confined plasma in numerical simulations of a tokamak.
no code implementations • 19 Apr 2021 • Aydin Buluc, Tamara G. Kolda, Stefan M. Wild, Mihai Anitescu, Anthony DeGennaro, John Jakeman, Chandrika Kamath, Ramakrishnan Kannan, Miles E. Lopes, Per-Gunnar Martinsson, Kary Myers, Jelani Nelson, Juan M. Restrepo, C. Seshadhri, Draguna Vrabie, Brendt Wohlberg, Stephen J. Wright, Chao Yang, Peter Zwart
Randomized algorithms have propelled advances in artificial intelligence and represent a foundational research area in advancing AI for Science.