27 citations · 103 across the 9 of their papers we have counts for
5 papers · 1 filter
Causal Fourier Analysis on Directed Acyclic Graphs and Posets
Bastian Seifert, Chris Wendler, Markus Püschel
We present a novel form of Fourier analysis, and associated signal processing concepts, for signals (or data) indexed by edge-weighted directed acyclic graphs (DAGs). This means th…
Digraph Signal Processing with Generalized Boundary Conditions
Bastian Seifert, Markus Püschel
Signal processing on directed graphs (digraphs) is problematic, since the graph shift, and thus associated filters, are in general not diagonalizable. Furthermore, the Fourier tran…
Dynamical Component Analysis (DyCA) and its application on epileptic EEG
Katharina Korn, Bastian Seifert, Christian Uhl
Dynamical Component Analysis (DyCA) is a recently-proposed method to detect projection vectors to reduce the dimensionality of multi-variate deterministic datasets. It is based on…
Fast cosine transform for FCC lattices
Bastian Seifert, Knut Hüper, Christian Uhl
Voxel representation and processing is an important issue in a broad spectrum of applications. E.g., 3D imaging in biomedical engineering applications, video game development and v…
Dynamical Component Analysis (DyCA): Dimensionality Reduction For High-Dimensional Deterministic Time-Series
Bastian Seifert, Katharina Korn, Steffen Hartmann +1
Multivariate signal processing is often based on dimensionality reduction techniques. We propose a new method, Dynamical Component Analysis (DyCA), leading to a classification of t…