About our Center
The DASIV SmartState Center was established in 2017 as part of the South Carolina SmartState Program initiative. The center is affiliated with the Department of Mathematics at USC. The center aims to bridge theoretical areas such as nonlinear approximation and theoretical numerical and applied analysis with mathematical modeling and interdisciplinary applications, especially in material sciences.
The central mission of the DASIV Center is to expand the existing interdisciplinary cooperation at USC with a network of material scientists around the world. This network has emerged from a previous series of workshops organized by the Interdisciplinary Mathematics Institute. The core goal of the center is to develop relevant theoretical foundations for cutting edge interdisciplinary work that requires new methodological answers. The center seeks to synthesize classical model-based approaches, typically based on PDE models, with data-driven methods used in machine learning, compressive sensing, and statistical estimation. By doing so, the center hopes to contribute to the advancement of science and technology in South Carolina and beyond.
Areas of Research
Here are just a few of the specializations that our faculty members focus on. For more information, check out the Research page.
- Computational Harmonic Analysis
- Learning Theory
- Image Processing
- Model Order Reduction Methods
- Uncertainty Quantification
- Multiscale Modeling, Analysis and Computation
- Interdisciplinary Applications in Fluid Dynamics and Process Engineering
- Optimal Transport
- Information Geometry
- Computational Transport Information Geometry in Data Science