Award Abstract # 2023239
TRIPODS: Institute for Foundations of Data Science
NSF Org: |
DMS
Division Of Mathematical Sciences
|
Recipient: |
UNIVERSITY OF WISCONSIN SYSTEM
|
Initial Amendment Date:
|
August 31, 2020 |
Latest Amendment Date:
|
November 13, 2024 |
Award Number: |
2023239 |
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: |
September 1, 2020 |
End Date: |
August 31, 2026 (Estimated) |
Total Intended Award
Amount: |
$4,583,262.00 |
Total Awarded Amount to
Date: |
$4,633,262.00 |
Funds Obligated to Date:
|
FY 2020 = $902,251.00
FY 2021 = $943,895.00
FY 2022 = $805,470.00
FY 2023 = $952,047.00
FY 2024 = $979,599.00
FY 2025 = $50,000.00
|
History of Investigator:
|
-
Stephen
Wright
(Principal Investigator)
sjwright2@wisc.edu
-
Michael
Newton
(Co-Principal Investigator)
-
Robert
Nowak
(Co-Principal Investigator)
-
Cecile
Ane
(Co-Principal Investigator)
-
Sebastien
Roch
(Co-Principal Investigator)
|
Recipient Sponsored Research
Office: |
University of Wisconsin-Madison
21 N PARK ST STE 6301
MADISON
WI
US
53715-1218
(608)262-3822
|
Sponsor Congressional
District: |
02
|
Primary Place of
Performance: |
University of Wisconsin-Madison
Madison
WI
US
53715-1218
|
Primary Place of
Performance Congressional District: |
02
|
Unique Entity Identifier
(UEI): |
LCLSJAGTNZQ7
|
Parent UEI: |
|
NSF Program(s): |
TRIPODS Transdisciplinary Rese, Special Projects - CCF, Algorithmic Foundations
|
Primary Program Source:
|
01002021DB NSF RESEARCH & RELATED ACTIVIT
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): |
048Z,
075Z,
079Z
|
Program Element Code(s):
|
041Y00,
287800,
779600
|
Award Agency Code: |
4900
|
Fund Agency Code: |
4900
|
Assistance Listing
Number(s): |
47.049, 47.070
|
ABSTRACT

Data science is making an enormous impact on science and society, but its success is uncovering pressing new challenges that stand in the way of further progress. Outcomes and decisions arising from many machine learning processes are not robust to errors and corruption in the data; data science algorithms are yielding biased and unfair outcomes, as concerns about data privacy continue to mount; and machine learning systems suited to dynamic, interactive environments are less well developed than corresponding tools for static problems. Only by an appeal to the foundations of data science can we understand and address challenges such as these. Building on the work of three TRIPODS Phase I institutes, the new Institute for Foundations of Data Science (IFDS) brings together researchers from the Universities of Washington, Wisconsin-Madison, California-Santa Cruz, and Chicago, organized around the goal of tackling these critical issues. Members of IFDS have complementary strengths in the TRIPODS disciplines of mathematics, statistics, and theoretical computer science, and a proven record of collaborating to push theoretical boundaries by synthesizing knowledge and experience from diverse areas. Students and postdoctoral members of IFDS will be trained to be fluent in the languages of several disciplines, and able to bridge these communities and perform transdisciplinary research in the foundations of data science. In concert with its research agenda, IFDS will engage the data science community through workshops, summer schools, and hackathons. Its diverse leadership, committed to equity and inclusion, proposes extensive plans for outreach to traditionally underrepresented groups. Governance, management, and evaluation of the institute will build on the successful and efficient models developed during Phase I.
To address critical issues at the cutting edge of data science research, IFDS will organize its research around four core themes. The complexity theme will synthesize various notions of complexity from multiple disciplines to make breakthroughs in the analysis of optimization and sampling methods, develop tools for assessing the complexity of data models, and seek new methods with better complexity properties, to make complexity a more powerful tool for understanding and inventing algorithms in data science. The robustness theme considers data that contains errors or outliers, possibly due to an adversary, and will design methods for data analysis and prediction that are robust in the face of these errors. The theme on closed-loop data science tackles the issues of acquiring data in ways that reveal the information content of the data efficiently, using strategic and sequential policies that leverage information gathered already from past data. The theme on ethics and algorithms addresses issues of fairness and bias in machine learning, data privacy, and causality and interpretability. The four themes intersect in many ways, and most IFDS researchers will work in two or more of them. By making concerted progress on these fundamental fronts, IFDS will lower several of the barriers to better understanding of data science methodology and to its improved effectiveness and wider relevance to application areas. Additionally, IFDS will organize and host activities that engage the data science community at all levels of seniority. Annual workshops will focus on the critical issues identified above and others that are sure to arise over the next five years. Comprehensive plans for outreach and education will draw on previous experience of the Phase I institutes and leverage institutional resources at the four sites. Collaborations with domain science researchers in academia, national laboratories, and industry, so important in illuminating issues in the fundamentals of data science, will continue through the many channels available to IFDS members, including those established in the TRIPODS+X program. Relationships with other institutes at each IFDS site will further extend the impact of IFDS on domain sciences and applications.
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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https://doi.org/10.1109/LSP.2020.3027517
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Patel, Vivak
"Counterexamples for Noise Models of Stochastic Gradients"
Examples and Counterexamples
, v.4
, 2023
https://doi.org/10.1016/j.exco.2023.100123
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Patel, Vivak
"Stopping criteria for, and strong convergence of, stochastic gradient descent on Bottou-Curtis-Nocedal functions"
Mathematical Programming
, v.195
, 2022
https://doi.org/10.1007/s10107-021-01710-6
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Patel, Vivak and Berahas, Albert S
"Gradient Descent in the Absence of Global Lipschitz Continuity of the Gradients"
SIAM Journal on Mathematics of Data Science
, v.6
, 2024
https://doi.org/10.1137/22M1527210
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Patel, Vivak and Jahangoshahi, Mohammad and Maldonado, D Adrian
"Randomized Block Adaptive Linear System Solvers"
SIAM Journal on Matrix Analysis and Applications
, v.44
, 2023
https://doi.org/10.1137/22M1488715
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Patel, Vivak and Jahangoshahi, Mohammad and Maldonado, Daniel A.
"An Implicit Representation and Iterative Solution of Randomly Sketched Linear Systems"
SIAM Journal on Matrix Analysis and Applications
, v.42
, 2021
https://doi.org/10.1137/19M1259481
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Patel, Vivak and Zhang, Shushu and Tian, Bowen
"Global Convergence and Stability of Stochastic Gradient Descent"
Conference on Neural Information Processing Systems
, v.36
, 2022
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Powell, William and Lyu, Hanbaek
"Stochastic Optimization with Arbitrary Recurrent Data Sampling"
, v.235
, 2024
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Pritchard, Nathaniel and Patel, Vivak
"Solving, tracking and stopping streaming linear inverse problems"
Inverse Problems
, v.40
, 2024
https://doi.org/10.1088/1361-6420/ad5583
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Pritchard, Nathaniel and Patel, Vivak
"Towards Practical Large-Scale Randomized Iterative Least Squares Solvers through Uncertainty Quantification"
SIAM/ASA Journal on Uncertainty Quantification
, v.11
, 2023
https://doi.org/10.1137/22M1515057
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Rana, Vishal and Peng, Jianhao and Pan, Chao and Lyu, Hanbaek and Cheng, Albert and Kim, Minji and Milenkovic, Olgica
"Interpretable online network dictionary learning for inferring long-range chromatin interactions"
PLOS Computational Biology
, v.20
, 2024
https://doi.org/10.1371/journal.pcbi.1012095
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Rhodes, John A and Baños, Hector and Xu, Jingcheng and Ané, Cécile
"Identifying circular orders for blobs in phylogenetic networks"
Advances in Applied Mathematics
, v.163
, 2025
https://doi.org/10.1016/j.aam.2024.102804
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Roch, Sebastien
"Expanding the Class of Global Objective Functions for Dissimilarity-Based Hierarchical Clustering"
Journal of Classification
, 2023
https://doi.org/10.1007/s00357-023-09447-x
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Roch, Sebastien and Wang, Kun-Chieh
"Sufficient condition for root reconstruction by parsimony on binary trees with general weights"
Electronic Communications in Probability
, v.26
, 2021
https://doi.org/10.1214/21-ECP423
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Roh, Yuji and Lee, Kangwook and Whang, Steven Euijong and Suh, Changho
"FairBatch: Batch Selection for Model Fairness"
9th International Conference on Learning Representations
, 2021
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Sen, Ayon and Zhu, Xiaojin and Marshall, Erin and Nowak, Robert
"Popular Imperceptibility Measures in Visual Adversarial Attacks are Far from Human Perception"
, 2020
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Shenouda, Joseph and Parhi, Rahul and Nowak, Robert D
"A Continuous Transform for Localized Ridgelets"
, 2023
https://doi.org/10.1109/SampTA59647.2023.10301398
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Shi, Zhenmei and Wei, Junyi and Liang, Yingyu
"Provable Guarantees for Neural Networks via Gradient Feature Learning"
, 2023
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Shi, Zhenmei and Xu, Zhouyan and Wei, Junyi and Liang, Yingyu
"Why Larger Language Models Do In-context Learning Differently?"
, 2024
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Song, C. and Diakonikolas, J. and Wright, S. J.
"Variance Reduction via Primal-Dual Accelerated Dual Averaging for Nonsmooth Convex Finite-Sums"
International Conference on Machine Learning
, 2021
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Song, C and Lin, CY and Wright, SJ and Diakonikolas, J
"Coordinate Linear Variance Reduction for Generalized Linear Programming"
, 2022
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Song, Chaobing and Wright, Stephen and Diakonikolas, Jelena
"Variance Reduction via Primal-Dual Accelerated Dual Averaging for Nonsmooth Convex Finite-Sums"
International Conference on Machine Learning
, 2021
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Tabatabaee, Y. and Roch, S. and Warnow, T.
"Statistically Consistent Rooting of Species Trees Under the Multispecies Coalescent Model"
Research in Computational Molecular Biology. RECOMB 2023. Lecture Notes in Computer Science. Springer.
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, 2023
https://doi.org/10.1007/978-3-031-29119-7_3
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Tabatabaee, Yasamin and Roch, Sebastien and Warnow, Tandy
"QR-STAR: A Polynomial-Time Statistically Consistent Method for Rooting Species Trees Under the Coalescent"
Journal of computational biology
, v.30
, 2023
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Teo, Benjamin and Bastide, Paul and Ané, Cécile
"Leveraging graphical model techniques to study evolution on phylogenetic networks"
Philosophical Transactions of the Royal Society B: Biological Sciences
, v.380
, 2025
https://doi.org/10.1098/rstb.2023.0310
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Teo, Benjamin and Rose, Jeffrey and Bastide, Paul and Ané, Cécile
"Accounting for Within-Species Variation in Continuous Trait Evolution on a Phylogenetic Network"
Bulletin of the Society of Systematic Biologists
, v.2
, 2023
https://doi.org/10.18061/bssb.v2i3.8977
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Vo, Tien and Mishra, Akshay and Ithapu, Vamsi and Singh, Vikas and Newton, Michael A
"Dimension constraints improve hypothesis testing for large-scale, graph-associated, brain-image data"
Biostatistics
, 2021
https://doi.org/10.1093/biostatistics/kxab001
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Xie, Yue and Wright, Stephen J.
"Complexity of a projected Newton-CG method for optimization with bounds"
Mathematical Programming
, 2023
https://doi.org/10.1007/s10107-023-02000-z
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Xie, Yue and Wright, Stephen J.
"Complexity of Proximal Augmented Lagrangian for Nonconvex Optimization with Nonlinear Equality Constraints"
Journal of Scientific Computing
, v.86
, 2021
https://doi.org/10.1007/s10915-021-01409-y
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Xu, Jingcheng and Ané, Cécile
"Identifiability of local and global features of phylogenetic networks from average distances"
Journal of Mathematical Biology
, v.86
, 2023
https://doi.org/10.1007/s00285-022-01847-8
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Xu, Zhuoyan and Shi, Zhenmei and Wei, Junyi and Mu, Fangzhou and Li, Yin and Liang, Yingyu
"Towards Few-shot Adaptation of Foundation Models via Multitask Finetuning"
, 2024
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Yao, Zhewei and Xu, Peng and Roosta, Fred and Wright, Stephen J and Mahoney, Michael W
"Inexact Newton-CG algorithms with complexity guarantees"
IMA Journal of Numerical Analysis
, v.43
, 2022
https://doi.org/10.1093/imanum/drac043
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Yinglun Zhu and Robert Nowak
"On Regret with Multiple Best Arms"
NeurIPS 2020
, 2020
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Yu, Peng and Ericksen, Spencer and Gitter, Anthony and Newton, Michael_A
"Bayes Optimal Informer Sets for Early-Stage Drug Discovery"
Biometrics
, v.79
, 2022
https://doi.org/10.1111/biom.13637
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Zhang, Borong and Zepeda-Nunez, Leonardo and Li, Qin
"Solving the wide-band inverse scattering problem via equivariant neural networks"
Journal of Computational and Applied Mathematics
, v.451
, 2024
https://doi.org/10.1016/j.cam.2024.116050
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Zhang, Jifan and Katz-Samuels, Julian and Nowak, Robert
"GALAXY: Graph-based Active Learning at the Extreme"
International Conference on Machine Learning
, 2022
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Zheng, Zihao and Mergaert, Aisha M and Ong, Irene M and Shelef, Miriam A and Newton, Michael A
"MixTwice: large-scale hypothesis testing for peptide arrays by variance mixing"
Bioinformatics
, 2021
https://doi.org/10.1093/bioinformatics/btab162
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Zhu, Yinglun and Katz-Samuels, Julian and Nowak, Robert
"Near Instance Optimal Model Selection for Pure Exploration Linear Bandits"
International Conference on Artificial Intelligence and Statistics
, 2022
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