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Award Abstract # 2038080
RTG: Mathematical Foundation of Data Science at University of South Carolina

NSF Org: DMS
Division Of Mathematical Sciences
Recipient: UNIVERSITY OF SOUTH CAROLINA
Initial Amendment Date: June 22, 2021
Latest Amendment Date: August 5, 2024
Award Number: 2038080
Award Instrument: Continuing Grant
Program Manager: Stacey Levine
slevine@nsf.gov
 (703)292-2948
DMS
 Division Of Mathematical Sciences
MPS
 Directorate for Mathematical and Physical Sciences
Start Date: August 1, 2021
End Date: July 31, 2026 (Estimated)
Total Intended Award Amount: $1,996,609.00
Total Awarded Amount to Date: $1,835,413.00
Funds Obligated to Date: FY 2021 = $1,625,413.00
FY 2022 = $70,000.00

FY 2023 = $70,000.00

FY 2024 = $70,000.00
History of Investigator:
  • Linyuan Lu (Principal Investigator)
    lu@math.sc.edu
  • Qi Wang (Co-Principal Investigator)
  • Wolfgang Dahmen (Co-Principal Investigator)
  • Wuchen Li (Co-Principal Investigator)
  • Pooyan Jamshidi (Co-Principal Investigator)
Recipient Sponsored Research Office: University of South Carolina at Columbia
1600 HAMPTON ST
COLUMBIA
SC  US  29208-3403
(803)777-7093
Sponsor Congressional District: 06
Primary Place of Performance: University of South Carolina
LeConte College, 1523 Greene Str
Columbia
SC  US  29208-0001
Primary Place of Performance
Congressional District:
06
Unique Entity Identifier (UEI): J22LNTMEDP73
Parent UEI: Q93ZDA59ZAR5
NSF Program(s): PROBABILITY,
APPLIED MATHEMATICS,
STATISTICS,
WORKFORCE IN THE MATHEMAT SCI,
Combinatorics,
CDS&E-MSS,
EPSCoR Co-Funding
Primary Program Source: 01002122DB NSF RESEARCH & RELATED ACTIVIT
01002223DB NSF RESEARCH & RELATED ACTIVIT

01002324DB NSF RESEARCH & RELATED ACTIVIT

01002425DB NSF RESEARCH & RELATED ACTIVIT

01002526DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 075Z, 079Z, 102Z, 7301, 9150, 9251
Program Element Code(s): 126300, 126600, 126900, 733500, 797000, 806900, 915000
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.049

ABSTRACT

This Research Training Group (RTG) project is a joint effort of Mathematics, Statistics, Computer Science and Engineering. It aims to develop a multi-tier Research Training Program at the University of South Carolina (UofSC) designed to prepare the future workforce in a multidisciplinary paradigm of modern data science. The education and training models will leverage knowledge and experience already existing among the faculty and bring in new talent to foster mathematical data science expertise and research portfolios through a vertical integration of post-doctoral research associates, graduate students, undergraduate students, and advanced high school students. A primary focus of this project is to recruit and train U.S. Citizens, females, and underrepresented minority (URM) among undergraduate and graduate students, and postdocs through research led training in Data Science. The research and training infrastructure implemented through this RTG program will not only support the planned majors and master?s degrees, but also provide systemic educational curricula for students and researchers from other areas whose research would benefit from Data Science within UofSC and in the vicinity. The training materials created by this RTG program will also be widely available to other institutions across the country. The RTG project will help build a highly educated workforce for academia, government and industry, in the area of data science, artificial intelligence, and machine learning.

This project is a response to emerging demands of modern technology-oriented societies for an innovative workforce with expertise in all areas related to Data Science. Based on a comprehensive view of Data Science, the program aims at providing students and postdocs with the necessary concepts that enable them to form their own research agenda. Our program covers, on the one hand, emerging developments in network science, artificial intelligence, machine learning, and optimization methodologies from computer science and statistical perspectives primarily for the Big-Data regime with applications such as autonomous systems. In addition, problems typically posed in a Small-Data regime can relate these concepts to relevant methodologies, such as Physics Informed Learning, needed to understand mathematical models, usually formulated in terms of Partial Differential Equations (PDEs), so as to understand key techniques for synthesizing models and data in the context of Uncertainty Quantification. Properly interrelating these activities in the broader Data Science landscape, will enable students to successfully tackle new problem areas at later stages of their career and address important challenges in sciences and engineering. The corresponding theoretical training is reinforced by accompanying practical training modules that are able to engage students across all levels as well as young researchers in synergistic activities, even reaching out to local industries. It is a feedback-loop between research and education that distinguishes the project. The educational component is designed with an ultimate goal of developing an innovative research training program to educate future workforce in a structured curriculum that offers a major, a master?s degree and a 4+1 dual degree in Data Science at UofSC. The project facilitates team-teaching by relevant experts and uses direct links to research projects that students will participated in. The built-in vertical and horizontal pedagogical synergies as well as the hierarchical mentoring scheme expose participating students to extensive educational and research experience offered by the program. This project is jointly funded by Computational and Data-enabled Science and Engineering in Mathematical and Statistical Sciences (CDS&E-MSS), the Established Program to Stimulate Competitive Research (EPSCoR), and the Workforce Program in the Mathematical Sciences, among others.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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(Showing: 1 - 10 of 27)
Bayraktar, Erhan and Feng, Qi and Li, Wuchen "Exponential Entropy Dissipation for Weakly Self-Consistent VlasovFokkerPlanck Equations" Journal of Nonlinear Science , v.34 , 2024 https://doi.org/10.1007/s00332-023-09984-0 Citation Details
Binev, Peter and Bonito, Andrea and DeVore, Ronald and Petrova, Guergana "Optimal learning" Calcolo , v.61 , 2024 https://doi.org/10.1007/s10092-023-00564-y Citation Details
Elphick, Clive and Linz, William "Symmetry and asymmetry between positive and negative square energies of graphs" The Electronic Journal of Linear Algebra , v.40 , 2024 https://doi.org/10.13001/ela.2024.8447 Citation Details
Feng, Qi and Li, Wuchen "Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold" Entropy , v.25 , 2023 https://doi.org/10.3390/e25050786 Citation Details
Fu, Guosheng and Liu, Siting and Osher, Stanley and Li, Wuchen "High order computation of optimal transport, mean field planning, and potential mean field games" Journal of Computational Physics , v.491 , 2023 https://doi.org/10.1016/j.jcp.2023.112346 Citation Details
Fu, Guosheng and Osher, Stanley and Pazner, Will and Li, Wuchen "Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation" Journal of Computational Physics , v.508 , 2024 https://doi.org/10.1016/j.jcp.2024.112994 Citation Details
Gao, Yuan and Liu, Jian-Guo and Li, Wuchen "Master equations for finite state mean field games with nonlinear activations" Discrete and Continuous Dynamical Systems - B , v.29 , 2024 https://doi.org/10.3934/dcdsb.2023204 Citation Details
Geng, Yuwei and Singh, Jasdeep and Ju, Lili and Kramer, Boris and Wang, Zhu "Gradient preserving Operator Inference: Data-driven reduced-order models for equations with gradient structure" Computer Methods in Applied Mechanics and Engineering , v.427 , 2024 https://doi.org/10.1016/j.cma.2024.117033 Citation Details
Geng, Yuwei and Teng, Yuankai and Wang, Zhu and Ju, Lili "A deep learning method for the dynamics of classic and conservative Allen-Cahn equations based on fully-discrete operators" Journal of Computational Physics , v.496 , 2024 https://doi.org/10.1016/j.jcp.2023.112589 Citation Details
Ghafouri, Saeid and Razavi, Kamran and Salmani, Mehran and Sanaee, Alireza and Botran, Tania Lorido and Wang, Lin and Doyle, Joseph and Jamshidi, Pooyan "[Solution] IPA: Inference Pipeline Adaptation to achieve high accuracy and cost-efficiency" Journal of Systems Research , v.4 , 2024 https://doi.org/10.5070/SR34163500 Citation Details
Iqbal, Md Shahriar and Su, Jianhai and Kotthoff, Lars and Jamshidi, Pooyan "FlexiBO: A Decoupled Cost-Aware Multi-Objective Optimization Approach for Deep Neural Networks" Journal of Artificial Intelligence Research , v.77 , 2023 https://doi.org/10.1613/jair.1.14139 Citation Details
(Showing: 1 - 10 of 27)

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