no code implementations • 23 Aug 2022 • Philipp Trunschke
We consider the problem of approximating a function in a general nonlinear subset of $L^2$, when only a weighted Monte Carlo estimate of the $L^2$-norm can be computed.
1 code implementation • 11 Aug 2021 • Philipp Trunschke
We reexamine the results of the previous paper and derive a new bound that is able to utilize the regularity of the sought function.
1 code implementation • 29 Apr 2021 • Michael Götte, Reinhold Schneider, Philipp Trunschke
Low-rank tensors are an established framework for high-dimensional least-squares problems.
1 code implementation • 2 Mar 2021 • Christian Bayer, Martin Eigel, Leon Sallandt, Philipp Trunschke
An efficient compression technique based on hierarchical tensors for popular option pricing methods is presented.
no code implementations • 17 Jan 2019 • Dominik Alfke, Weston Baines, Jan Blechschmidt, Mauricio J. del Razo Sarmina, Amnon Drory, Dennis Elbrächter, Nando Farchmin, Matteo Gambara, Silke Glas, Philipp Grohs, Peter Hinz, Danijel Kivaranovic, Christian Kümmerle, Gitta Kutyniok, Sebastian Lunz, Jan Macdonald, Ryan Malthaner, Gregory Naisat, Ariel Neufeld, Philipp Christian Petersen, Rafael Reisenhofer, Jun-Da Sheng, Laura Thesing, Philipp Trunschke, Johannes von Lindheim, David Weber, Melanie Weber
We present a novel technique based on deep learning and set theory which yields exceptional classification and prediction results.