<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Statistical Learning for Structured Models: Tree Based Methods and Neural Networks"^^ . "In this thesis, estimation in regression and classification problems which include low dimensional\r\nstructures are considered. The underlying question is the following. How well do statistical learn-\r\ning methods perform for models with low dimensional structures? We approach this question\r\nusing various algorithms in various settings. For our first main contribution, we prove optimal\r\nconvergence rates in a classification setting using neural networks. While non-optimal rates ex-\r\nisted for this problem, we are the first to prove optimal ones. Secondly, we introduce a new tree\r\nbased algorithm we named random planted forest. It adapts particularly well to models which\r\nconsist of low dimensional structures. We examine its performance in simulation studies and\r\ninclude some theoretical backing by proving optimal convergence rates in certain settings for a\r\nmodification of the algorithm. Additionally, a generalized version of the algorithm is included,\r\nwhich can be used in classification settings. In a further contribution, we prove optimal con-\r\nvergence rates for the local linear smooth backfitting algorithm. While such rates have already\r\nbeen established, we bring a new simpler perspective to the problem which leads to better understanding and easier interpretation. Additionally, given an estimator in a regression setting,\r\nwe propose a constraint which leads to a unique decomposition. This decomposition is useful for\r\nvisualising and interpreting the estimator, in particular if it consits of low dimenional structures."^^ . "2023" . . . . . . . "Joseph Theo"^^ . "Meyer"^^ . "Joseph Theo Meyer"^^ . . . . . . "Statistical Learning for Structured Models: Tree Based Methods and Neural Networks (PDF)"^^ . . . "Promotion.pdf"^^ . . . "Statistical Learning for Structured Models: Tree Based Methods and Neural Networks (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Statistical Learning for Structured Models: Tree Based Methods and Neural Networks (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Statistical Learning for Structured Models: Tree Based Methods and Neural Networks (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Statistical Learning for Structured Models: Tree Based Methods and Neural Networks (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Statistical Learning for Structured Models: Tree Based Methods and Neural Networks (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #33849 \n\nStatistical Learning for Structured Models: Tree Based Methods and Neural Networks\n\n" . "text/html" . . . "310 Statistik"@de . "310 General statistics"@en . . . "510 Mathematik"@de . "510 Mathematics"@en . .