<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Learning Distributions of Functions on a Continuous Time Domain"^^ . "This work presents several contributions on the topic of learning representations of function spaces, as well as on learning the dynamics of glioma growth as a particular instance thereof. We begin with two preparatory efforts, showing how expert knowledge can be leveraged efficiently in an interactive segmentation context, and presenting a proof of concept for inferring non-deterministic glioma growth patterns purely from data. The remainder of our work builds upon the framework of Neural Processes. We show how these models represent function spaces and discover that they can implicitly decompose the space into different frequency components, not unlike a Fourier transform. In this context we derive an upper bound on the maximum signal frequency Neural Processes can represent and show how to\r\ncontrol the learned representations to only contain certain frequencies. We continue with an improvement of a more recent addition to the Neural Process family called ConvCNP, which we combine with a Gaussian Process to make it non-deterministic and to improve generalization. Finally, we show how to perform segmentation in the Neural Process framework by extending a typical segmentation\r\narchitecture with spatio-temporal attention. The resulting model can interpolate complex spatial variations of segmentations over time and, applied to glioma growth, it is able to represent multiple temporally consistent growth trajectories, exhibiting realistic and diverse spatial\r\ngrowth patterns."^^ . "2020" . . . . . . . "Jens"^^ . "Petersen"^^ . "Jens Petersen"^^ . . . . . . "Learning Distributions of Functions on a Continuous Time Domain (PDF)"^^ . . . "Jens_Petersen-Learning_Distributions_of_Functions_on_a_Continuous_Time_Domain.pdf"^^ . . . "Learning Distributions of Functions on a Continuous Time Domain (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Learning Distributions of Functions on a Continuous Time Domain (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Learning Distributions of Functions on a Continuous Time Domain (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Learning Distributions of Functions on a Continuous Time Domain (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Learning Distributions of Functions on a Continuous Time Domain (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #29234 \n\nLearning Distributions of Functions on a Continuous Time Domain\n\n" . "text/html" . . . "004 Informatik"@de . "004 Data processing Computer science"@en . . . "500 Naturwissenschaften und Mathematik"@de . "500 Natural sciences and mathematics"@en . . . "530 Physik"@de . "530 Physics"@en . . . "570 Biowissenschaften, Biologie"@de . "570 Life sciences"@en . . . "610 Medizin"@de . "610 Medical sciences Medicine"@en . .