145 citations
- Technische Universität BerlinDE7 papers
- Freie Universität BerlinDE3 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BolognaIT2 papers
- The University of TokyoJP2 papers
- University of Duisburg-EssenDE2 papers
- Brigham and Women's HospitalUS1 paper
- Bulgarian Academy of SciencesBG1 paper
- Center of Advanced European Studies and ResearchDE1 paper
- Charité - Universitätsmedizin BerlinDE1 paper
- Dana-Farber Brigham Cancer CenterUS1 paper
- Dana-Farber Cancer InstituteUS1 paper
- Einstein Center Digital FutureDE1 paper
7 papers · 1 filter
Trends, Directions for Further Research, and Some Open Problems of Fractional Calculus
Kai Diethelm, Virginia Kiryakova, Yuri Luchko +2
The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state…
Self-supervised Answer Retrieval on Clinical Notes
Paul Grundmann, Sebastian Arnold, Alexander Löser
Retrieving answer passages from long documents is a complex task requiring semantic understanding of both discourse and document context. We approach this challenge specifically in…
Convolution series and the generalized convolution Taylor formula
Yuri Luchko
In this paper, we deal with the convolution series that are a far reaching generalization of the conventional power series and the power series with the fractional exponents includ…
A Turing Test for Transparency
Felix Biessmann, Viktor Treu
A central goal of explainable artificial intelligence (XAI) is to improve the trust relationship in human-AI interaction. One assumption underlying research in transparent AI syste…
General fractional integrals and derivatives of arbitrary order
Yuri Luchko
In this paper, we introduce the general fractional integrals and derivatives of arbitrary order and study some of their basic properties and particular cases. First, a suitable gen…
Operational Calculus for the general fractional derivatives with the Sonine kernels
Yuri Luchko
In this paper, we first address the general fractional integrals and derivatives with the Sonine kernels that possess the integrable singularities of power function type at the poi…