Multi-marginal Optimal Transport and Density Functional Theory:
a mathematical setting for physical ideas
This project has received funding from the European Research Council (ERC) under H2020/Marie Skłodowska-Curie Actions-Individual Fellowships (Grant agreement 795942 OTmeetsDFT)
Publications and Preprints
Authors: A. Gerolin, A. Kausamo, T. Rajala
Title: Multi-marginal Entropy-Trasport with repulsive costs
Journal: Calculus of Variations and Partial Differential Equations 2020, 59, 90.
Authors: A. Gerolin, J. Grossi and P. Gori-Giorgi
Title: Kinetic Correlation Functionals from the Entropic Regularization of the Strictly Correlated Electrons Problem
Journal: J. Chem. Theory Comput. 2020, 16, 1, 488-498
Authors: S. Di Marino, A. Gerolin
Title: An Optimal Transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm
Submitted to Journal of Scientific Computing (JOMP)
Authors: A. Mallasto, A. Gerolin, H. Q. Mihn
Title: Entropy-Regularized 2-Wasserstein Distance between Gaussian Measures
Submitted to Springer Information Geometry and Optimal Transport
Authors: A. Mallasto, G. Montúfar, A. Gerolin
Title: How Well Do WGANs Estimate the Wasserstein Metric?
Submitted to ICRL
Organization of Workshops and Research Schools (planned)
Research School on Mathematics of Machine Learning
Centro De Giorgi, Pisa, Italy
Workshop on Mathematics of Machine Learning
Centro De Giorgi, Pisa, Italy
organized with Simone Di Marino (Genova) and Lorenzo Roscasco (Genova and MIT).
XI Young European Statisticians Workshop (YES XI)
Optimal Transport, Statistics, Machine Learning and moving in between
TU/e Eindhoen, The Netherlands.
organized with Rui Castro and Oliver Tse (TU/e)
(dates to be confirmed due to coronavirus restrictions)
Short research periods
Thematic Program: High Dimensional Hamilton-Jacobi PDEs
Institute of Pure and Applied Mathematics (IPAM)
UCLA, Los Angeles, United States.
Thematic Program: Optimal Transport
Erwin Schrödinger Institute (ESI)
Pontificia Universidad Católica de Chile, Chile.
Swansea University, United Kingdom.
École Normale Supérieure de Paris, France.
Probabilistic Machine Learning Group, Aalto University, Finland.
Dario Feliciangeli and Lorenzo Portinale
Institute of Science and Technology, Austria.
Seminars and Conference Talks
CASA Colloquium TU/e. February, Eindhoven (The Netherlands)
Italian meeting of Calculus of Variations. Levico Terme (Italy)
Stochastic and Probability seminar at Aalto University. Espoo (Finland)
Semester in Optimal Tranport at Erwin Schrodinger Institute. Vienna (Austria)
Stochastic seminar at Radbound University. Nijmegen (The Netherlands)
People in Optimal Transport. Cortona (Italy).
Calculus of Variations on Schiermonnikoog (The Netherlands).
Math Colloquium at VU Amsterdam, Amsterdam (The Netherlands)
Mathematical and Computational Aspects of Machine Learning. Pisa (Italy).
Math Colloquium Utrecht University. Utrecht (The Netherlands)
Student surpervision and projects with
Software for Chemistry & Materials (SCM)
Lorian Coltof, University of Amsterdam (MSc Artificial Intelligence)
Wasserstein Generative Adversarial Networks
with Patrick Forré, University of Amsterdam (UvA), Computer Sciences
May Lee, University of Amsterdam (MSc Artificial Intelligence)
On Generative Modelling on graphs for Molecules
with Nick Austin (SCM)
Signs of Mathematics, in collaboration with University of Jyväskylä.