4 papers
Global Permutation Entropy
Abhijeet Avhale, Joscha Diehl, Niraj Velankar +1
Permutation Entropy, introduced by Bandt and Pompe, is a widely used complexity measure for real-valued time series that is based on the relative order of values within consecutive…
Tensor-to-Tensor Models with Fast Iterated Sum Features
Joscha Diehl, Rasheed Ibraheem, Leonard Schmitz +1
Data in the form of images or higher-order tensors is ubiquitous in modern deep learning applications. Owing to their inherent high dimensionality, the need for subquadratic layers…
Efficient counting of permutation patterns via double posets
Joscha Diehl, Emanuele Verri
Corner trees, introduced in "Even-Zohar and Leng, 2021, Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms", allow for the efficient counting of certain permutation…
Aggregating time-series and image data: functors and double functors
Joscha Diehl
Aggregation of time-series or image data over subsets of the domain is a fundamental task in data science. We show that many known aggregation operations can be interpreted as (dou…