Alignment of Density Maps in Wasserstein Distance.
Amit Singer and Ruiyi Yang. arXiv preprint, 2023.
Optimization on Manifolds via Graph Gaussian Processes.
Hwanwoo Kim, Daniel Sanz-Alonso, and Ruiyi Yang. To appear in SIAM Journal on Mathematics of Data Science, 2023+.
Uniform Consistency in Nonparametric Mixture Models. [arXiv]
Bryon Aragam and Ruiyi Yang. The Annals of Statistics 51(1):362-390, 2023.
Mathematical Foundations of Graph-Based Bayesian Semi-Supervised Learning. [arXiv]
Nicolás García Trillos, Daniel Sanz-Alonso, and Ruiyi Yang. Notices of the American Mathematical Society 69(10):1717-1729, 2022.
Finite Element Representations of Gaussian Processes: Balancing Numerical and Statistical Accuracy. [arXiv]
Daniel Sanz-Alonso and Ruiyi Yang. SIAM/ASA Journal on Uncertainty Quantification 10(4):1323-1349, 2022.
Unlabeled Data Help in Graph-Based Semi-Supervised Learning: A Bayesian Nonparametrics Perspective. [arXiv]
Daniel Sanz-Alonso and Ruiyi Yang. Journal of Machine Learning Research 23(97):1-28, 2022.
The SPDE Approach to Matérn Fields: Graph Representations. [arXiv]
Daniel Sanz-Alonso and Ruiyi Yang. Statistical Science 37(4):519-540, 2022.
Kernel Methods for Bayesian Elliptic Inverse Problems on Manifolds. [arXiv]
John Harlim, Daniel Sanz-Alonso, and Ruiyi Yang. SIAM/ASA Journal on Uncertainty Quantification 8(4): 1414-1445, 2020.
Local Regularization of Noisy Point Clouds: Improved Global Geometric Estimates and Data Analysis. [arXiv]
Nicolás García Trillos, Daniel Sanz-Alonso, and Ruiyi Yang. Journal of Machine Learning Research 20(136):1-37, 2019.
Optimization on Manifolds via Graph Gaussian Processes. New Jersey Institute of Technology Statistics Seminar, March 2023.
Unlabeled Data Help in Graph-Based Bayesian Semi-Supervised Learning. SIAM Conference on Mathematics of Data Science, September 2022.
Graph-Based Approximation of Matérn Gaussian Fields. IMSI Workshop on Gaussian processes, August 2022.
Balancing Numerical and Statistical Accuracy in the SPDE Approach to Gaussian Processes. SIAM Conference on Uncertainty Quantification, April 2022.
Matérn Gaussian Fields on Graphs: Theory and Applications. Joint Statistical Meetings, August 2021.
Graph-Based Methods for Bayesian Elliptic Inverse Problems on Manifold. SIAM Conference on Computational Science and Engineering, March 2021.
Graph-Based Approximation of Matérn Gaussian Fields. University of Wisconsin-Madison Statistics Seminar, Feburary 2021.
Graph-Based Methods for Inverse Problems on Manifolds and Point Clouds. SIAM Conference on Mathematics of Data Science, June 2020.
Local Regularization of Noisy Point Clouds. GTDAML Graduate Student Conference, The Ohio State University, June 2019.