Browsing Oberwolfach Reports by MSC "62"

Now showing items 21-40 of 78

    • 1627b - Learning Theory and Approximation 

      [OWR-2016-33] Workshop Report 2016,33 (2016) - (03 Jul - 09 Jul 2016)
      The main goal of this workshop – the third one of this type at the MFO – has been to blend mathematical results from statistical learning theory and approximation theory to strengthen both disciplines and use synergistic ...

    • 1226 - Learning Theory and Approximation 

      [OWR-2012-31] Workshop Report 2012,31 (2012) - (24 Jun - 30 Jun 2012)
      Learning theory studies data structures from samples and aims at understanding unknown function relations behind them. This leads to interesting theoretical problems which can be often attacked with methods from Approximation ...

    • 0827b - Learning Theory and Approximation 

      [OWR-2008-30] Workshop Report 2008,30 (2008) - (29 Jun - 05 Jul 2008)
      Mathematical analysis of learning algorithms consists of bias measured by various kinds of approximation errors and variance investigated by probability and statistical analysis. This workshop has dealt with new developments ...

    • 2324 - Machine Learning for Science: Mathematics at the Interface of Data-driven and Mechanistic Modelling 

      [OWR-2023-26] Workshop Report 2023,26 (2023) - (11 Jun - 16 Jun 2023)
      Rapid progress in machine learning is enabling scientific advances across a range of disciplines. However, the utility of machine learning for science remains constrained by its current inability to translate insights from ...

    • 1249 - Mathematical and Algorithmic Aspects of Atmosphere-Ocean Data Assimilation 

      [OWR-2012-58] Workshop Report 2012,58 (2012) - (02 Dec - 08 Dec 2012)
      The nomenclature “data assimilation” arises from applications in the geosciences where complex mathematical models are interfaced with observational data in order to improve model forecasts. Mathematically, data assimilation ...

    • 2112 - Mathematical Foundations of Machine Learning (hybrid meeting) 

      [OWR-2021-15] Workshop Report 2021,15 (2021) - (21 Mar - 27 Mar 2021)
      Machine learning has achieved remarkable successes in various applications, but there is wide agreement that a mathematical theory for deep learning is missing. Recently, some first mathematical results have been derived ...

    • 1317a - Mathematical Statistics of Partially Identified Objects 

      [OWR-2013-19] Workshop Report 2013,19 (2013) - (21 Apr - 27 Apr 2013)
      The workshop brought together leading experts in mathematical statistics, theoretical econometrics and bio-mathematics interested in mathematical objects occurring in the analysis of partially identified structures. The ...

    • 1032 - Mathematical Theory and Modelling in Atmosphere-Ocean-Science 

      [OWR-2010-34] Workshop Report 2010,34 (2010) - (08 Aug - 14 Aug 2010)
      Participants from around the world gathered to review application and development of mathematics in relation to problems in the atmospheric, oceanic and climate sciences.

    • 2434 - Mathematics, Statistics, and Geometry of Extreme Events in High Dimensions 

      [OWR-2024-38] Workshop Report 2024,38 (2024) - (18 Aug - 23 Aug 2024)
      The workshop brought together researchers contributing to various recent topics in Extreme Value Theory. Discussions and talks included recent probabilistic development in the theory of regular variation, advances in ...

    • 1825b - Matrix Estimation Meets Statistical Network Analysis: Extracting low-dimensional structures in high dimension 

      [OWR-2018-29] Workshop Report 2018,29 (2018) - (17 Jun - 23 Jun 2018)
      The study of complex relationships among the elements of a large collection of random variables lead to the development of a number of areas in probability and statistics such as probabilistic network analysis or random ...

    • 2212a - MFO-RIMS Tandem Workshop: Nonlocality in Analysis, Probability and Statistics 

      [OWR-2022-15] Workshop Report 2022,15 (2022) - (20 Mar - 26 Mar 2022)
      The central theme of the workshop were nonlocal operators which appear in various branches of mathematics (PDEs, fractional calculus, stochastic processes, statistics). Although the basic concepts are similar, both language ...

    • 1440a - Mini-Workshop: Asymptotic Statistics on Stratified Spaces 

      [OWR-2014-44] Workshop Report 2014,44 (2014) - (28 Sep - 04 Oct 2014)
      Statistical analysis of non-Euclidean data such as data on manifolds is an active and established topic of research, for instance, in the statistical analysis of shape. However, many types of data naturally reside in metric ...

    • 1248b - Mini-Workshop: Frontiers in Quantile Regression 

      [OWR-2012-56] Workshop Report 2012,56 (2012) - (25 Nov - 01 Dec 2012)
      Quantiles play an essential role in modern statistics, as emphasized by the fundamental work of Parzen (1978) and Tukey (1977). Quantile regression was introduced by Koenker and Bassett (1978) as a complement to least ...

    • 1109b - Mini-Workshop: History of Numerical and Graphical Tables 

      [OWR-2011-12] Workshop Report 2011,12 (2011) - (27 Feb - 05 Mar 2011)
      Numerical tables were one of the most commonly used instruments of calculation from the earliest periods for which we have evidence of mathematical activity until the appearance of computing machines. Such tables (including ...

    • 2338b - Mini-Workshop: Interpolation and Over-parameterization in Statistics and Machine Learning 

      [OWR-2023-41] Workshop Report 2023,41 (2023) - (17 Sep - 22 Sep 2023)
      In recent years it has become clear that, contrary to traditional statistical beliefs, methods that interpolate (fit exactly) the noisy training data, can still be statistically optimal. In particular, this phenomenon of ...

    • 1109c - Mini-Workshop: Level Sets and Depth Contours in High Dimensional Data 

      [OWR-2011-13] Workshop Report 2011,13 (2011) - (27 Feb - 05 Mar 2011)
      Extraction of information about the distribution underlying a high-dimensional data set is a formidable, complex problem dominating modern nonparametric statistics. Two general strategies are (i) to extract merely qualitative ...

    • 0707b - Mini-Workshop: Levy Processes and Related Topics in Modelling 

      [OWR-2007-7] Workshop Report 2007,7 (2007) - (11 Feb - 17 Feb 2007)
      The focus of the meeting was on recent ongoing research and new ideas in the area of infinite divisibility and Lévy processes, with particular view to realistic modelling. As regards more applied aspects, work in mathematical ...

    • 2240c - Mini-Workshop: Mathematical Foundations of Robust and Generalizable Learning 

      [OWR-2022-46] Workshop Report 2022,46 (2022) - (02 Oct - 08 Oct 2022)
      Machine learning has become an highly active field of research, but its mathematical underpinnings are still hardly understood. This workshop identified key challenges, and it discussed potential solutions. Bringing ...

    • 1134c - Mini-Workshop: Mathematics of Machine Learning 

      [OWR-2011-42] Workshop Report 2011,42 (2011) - (21 Aug - 27 Aug 2011)
      This is a report for a mini-workshop on the mathematical theory of learning. The purpose of the workshop was to bring together internationally recognized experts and young researchers to discuss new approaches, trends, and ...

    • 0518a - Mini-Workshop: Numerical Upscaling: Theory and Applications 

      [OWR-2005-20] Workshop Report 2005,20 (2005) - (01 May - 07 May 2005)
      Numerical upscaling is often the only way in which various multiscale problems can be handled. Numerics related to solving auxiliary problems appearing in asymptotic homogenization, as well as numerical treatment of ...