Venue: Green Solution House, Strandvejen 79, 3700 Rønne, Bornholm, Denmark. Tel +45 5695 1913
Sunday is arrival day. The scientific programme starts on Monday morning and ends on Friday around noon.
The field of nonlinear statistics (NS) seeks to answer the fundamental questions that arise when defining new statistical models and tools in nonlinear spaces. The field spans from theoretical statistics and geometry to the development of data analysis tools that are directly applicable to actual data. A typical application area is bioimaging.
NS is a rapidly evolving research field. While there is a deep understanding of the mathematical and computational aspects of many data types living in nonlinear spaces, a detailed understanding of random variation in these spaces and how to handle randomness statistically is largely missing.
With this workshop, we want to reach out to key researchers in two closely related fields: functional data analysis (FDA), and random topology and graphs (RTG). The recent movement in FDA towards increasingly complex data structures has paved the way for a deeper statistical understanding of practical and commonly used methods in NS. The study of statistical properties of random graphs is closely related to NS through concepts like manifold learning, dimensionality reduction and topological data analysis. Complex topological properties of data living in nonlinear spaces, such as persistent homology, are studied in random topology.
The two fields FDA and RTG share problems and methodology, unresolved questions, and technical solutions with NS, and it is our belief, backed by world-leading experts in all three fields, that extended collaboration will lead to new results and development beyond the current state-of-the-art in these areas.
Due to a restricted number of places, this workshop is in principle "by invitation only". However, there are a few free places.
For further information, please contact Oddbjørg Wethelund, oddbjorg@math.au.dk