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11/24/2022
Fast Möbius and Zeta Transforms
Möbius inversion of functions on partially ordered sets (posets) 𝒫 is a ...
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09/16/2022
Causal Fourier Analysis on Directed Acyclic Graphs and Posets
We present a novel form of Fourier analysis, and associated signal proce...
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12/08/2020
Discrete Signal Processing on Meet/Join Lattices
A lattice is a partially ordered set supporting a meet (or join) operati...
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10/01/2020
Learning Set Functions that are Sparse in Non-Orthogonal Fourier Bases
Many applications of machine learning on discrete domains, such as learn...
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05/19/2020
Digraph Signal Processing with Generalized Boundary Conditions
Signal processing on directed graphs (digraphs) is problematic, since th...
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02/05/2019
Dynamical Component Analysis (DyCA) and its application on epileptic EEG
Dynamical Component Analysis (DyCA) is a recently-proposed method to det...
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01/18/2019
FFT and orthogonal discrete transform on weight lattices of semi-simple Lie groups
We give two algebro-geometric inspired approaches to fast algorithms for...
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11/09/2018
The discrete cosine transform on triangles
The discrete cosine transform is a valuable tool in analysis of data on ...
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07/26/2018
Dynamical Component Analysis (DyCA): Dimensionality Reduction For High-Dimensional Deterministic Time-Series
Multivariate signal processing is often based on dimensionality reductio...
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07/26/2018