Research
Welcome to the home page of the Brummer & Partners MathDataLab. Here you can find information about the research at the Lab.
Postdocs
Pratik Misra
(PhD North Carolina State University, 2021), 2021-present
Orlando Marigliano
(PhD University of Leipzig, 2020), 2020-present
Rene Corbet
(PhD TU Graz, 2020) 2020-present
Guo-Jhen Wu
(PhD, Brown University, 2019), 2019-2021. Joint postdoc between MathDataLab and SeRC Data Science MCP.
Anna Persson
(PhD, Chalmers, 2018), 2018-2021.
Martina Scolamiero
, (PhD, KTH, 2016), 2018-2019.
Current projects
-
Algebro-geometric study of loss landscapes, Algebro-geometric study of loss landscapes (pdf 108 kB)
Supervisors: Kathlen Kohn and Sandra Di Rocco
Postdoc: Orlando Marigliano -
Topological data analysis of semi-algebraic sets, Topological data analysis of semi-algebraic sets (pdf 114 kB)
Supervisors: Wojciech Chacholski and Martina Scolamiero
Postdoc: Rene Corbet -
Theory of stochastic simulation in machine learning, Theory of stochastic simulation in machine learning (pdf 216 kB)
Supervisors: Henrik Hult and Jimmy Olsson
Postdoc: Guo-Jhen Wu
Publications
- H. Hult and G.-J. Wu, Almost sure convergence of the accelerated weight histogram algorithm, (2021) https://arxiv.org/abs/2109.04265
- P. Dupuis and G.-J. Wu, Analysis and optimization of certain parallel Monte Carlo methods in the low temperature limit, (2020) https://arxiv.org/pdf/2011.05423.pdf
- P. Ljung, A.l Målqvist, A. Persson, A generalized finite element method for the strongly damped wave equation with rapidly varying data, Preprint arXiv:2011.03311, (2020)
- P. Henning, A. Persson, Computational homogenization of time-harmonic Maxwell's equations, SIAM J. Sci. Comput., 42(3), B581–B607 https://doi.org/10.1137/19M1293818, (2020)
- C. Görgen, M. Leonelli and O. Marigliano, Staged trees are curved exponential families. ArXiv:2010.15515, (2020) https://arxiv.org/abs/2010.15515
- P. Dupuis and G-.J. Wu, Large deviation properties of the empirical measure of a stochastic differential equation with small noise, (2020) https://arxiv.org/pdf/2002.12722.pdf
- W. Chacholski, A. Jin, M. Scolamiero, F. Tombari Homotopical decompositions of simplicial and Vietoris Rips complexes, https://arxiv.org/abs/2002.03409
- René Corbet, Ulderico Fugacci, Michael Kerber, Claudia Landi, Bei Wang. A kernel for multi-parameter persistent homology. Computers & Graphics: X. Volume 2 (2019). https://doi.org/10.1016/j.cagx.2019.100005.
- Corbet, R., Kerber, M. The representation theorem of persistence revisited and generalized. J Appl. and Comput. Topology 2, 1–31 (2018). https://doi.org/10.1007/s41468-018-0015-3
- L. Kanari, P. Dłotko, M. Scolamiero, R. Levi, J. Shillcock, K. Hess, H. Markram, A topological representation of branching neuronal morphologies, Neuroinformatics 16 (1), 3-13, (2018)