Stochastic machine
learning group
Stochastic Machine Learning Group
Our research focuses on fundamental challenges in the theory of Probabilistic Machine Learning using novel stochastic techniques and Hilbert space methods. Our mission is to strengthen the theoretical underpinnings that contribute to the effectiveness of these methodologies and to broaden their applicability. By leveraging advanced mathematical approaches, we aim to drive innovation and explore new frontiers in the field.

Julio Enrique Castrillon Candas
- Research Group Leader
- Profile
- jcandas “at” bu.edu
- (617) 943-9981
-
Department of Mathematics and Statistics
Boston University,
665 Commonwealth Ave. Boston, MA 02215

Mark Kon
- Research Group Leader
- Profile
- mkon “at” bu.edu
- (617) 353-9549
-
Department of Mathematics and Statistics
Boston University,
665 Commonwealth Ave. Boston, MA 02215
Research
The Stochastic Machine Learning Group at Boston University, housed in the Department of Mathematics and Statistics, conducts research at the intersection of machine learning, statistical modeling, and computational mathematics. Led by Professors Julio Castrillon and Mark Kon, the group includes graduate and undergraduate students working on advanced techniques to address complex theoretical and applied problems in data analysis and prediction.
With the rise of large-scale data and high-dimensional stochastic systems, our research focuses on developing principled and robust methods for prediction, uncertainty quantification, and optimization. By integrating statistical theory, stochastic processes, applied mathematics, and high-performance computing, we aim to create novel solutions for real-world applications in fields such as disaster management, drug discovery, remote sensing, and medical diagnostics.
Our approach emphasizes mathematically rigorous analysis of random systems and machine learning models, ensuring that our solutions are both reliable and adaptable to uncertain environments. Through a combination of theoretical research and high-impact practical applications, we are advancing the understanding of machine learning under uncertainty and contributing to the development of next-generation analytical tools.
Meet The Team
of the Stochastic Machine Learning Research Group

Julio Enrique Castrillon Candas
specializes in computational statistics, machine learning, and uncertainty quantification, with a focus on high-performance computing and mathematical analysis for biomedical and engineering applications. He is the Principal Investigator on several high-impact grants related to biomedical data, Alzheimer's disease subtyping, and threat detection in satellite data, collaborating with multiple departments at Boston University.
Mark Kon
holds a PhD in Mathematics from MIT and Bachelor's degrees in Mathematics, Physics, and Psychology from Cornell University. His research spans across quantum probability, machine learning, computational biology, and mathematical physics, with recent work focusing on quantum computation and its applications in bioinformatics and is an investigator on a number of grants in these areas. He has published extensively, held academic appointments at Columbia, Harvard, and MIT, and is currently affiliated with Boston University's Bioinformatics Graduate Program in the Faculty of Computing and Data Sciences.


Dileep Bhattacharya
- Research Affiliate
- email address
- Phone number
- User profile

Team member name
- Research Group Leader
- Group name
- email address
- Phone number
- User profile
Publications

Uncertainty quantification and complex analyticity of the nonlinear Poisson-Boltzmann equation for the interface problem with random domains
- T. Norton, J. Xu, B. Choi, M. Kon, J.E. Castrillon-Candas
- Sept. 28, 2023
- arXiv:2309.16439 [math.NA]

Anomaly detection: A functional analysis perspective
- J. E. Castrillon-Candas and M. Kon
- In: Journal of Multivariate Analysis, 189 (2022), p. 104885
- May 2022, 104885

Uncertainty quantification of receptor ligand binding site prediction
- N. Chen, D. Yu, D. Beglov, M. Kon and J.E. Castrillon-Candas
- 20 Jan. 2024
- arXiv:2401.11312 [q-bio.QM]
Discover Exciting Activities
Events Calendar
Explore our range of upcoming and past events designed to engage and inspire.
Upcoming Conferences, Workshops, etc.

Math Machine Learning seminar MPI MIS + UCLA
- 05.09.24 -> 19.09.24
- Location
CONTACT
Stochastic Machine Learning Group
- Department of Mathematics and Statistics Boston University, 665 Commonwealth Ave. Boston, MA 02215
- + (617) 353-9549
- jcandas@bu.edu
- mkon@math.bu.edu
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