output
20132025
most citedExplainable Artificial Intelligence and Machine Learning: A reality rooted perspective

107 citations

13 papers

cs.GR2025

Interactive Stroke-based Neural SDF Sculpting

Fizza Rubab, Yiying Tong

Recent advances in implicit neural representations have made them a popular choice for modeling 3D geometry. However, directly editing these representations presents challenges due…

math.NT2025★ 1 cited

Poles of p-adic Asai L-functions and distinguished representations

David Loeffler, Sarah Livia Zerbes

We give a criterion in terms of p-adic Asai L-functions for a cuspidal automorphic representation of GL(2) over a real quadratic field to be a distinguished representation, providi…

math.NT2024

A universal Euler system for GSp(4)

David Loeffler, Sarah Livia Zerbes

In our earlier work with Christopher Skinner (J. Eur. Math. Soc 24 (2022), no. 2; DOI 10.4171/JEMS/1124; Arxiv 1706.00201), we constructed Euler systems for the 4-dimensional spin…

math.NA2024★ 1 cited

A Preconditioned Version of a Nested Primal-Dual Algorithm for Image Deblurring

Stefano Aleotti, Marco Donatelli, Rolf Krause +1

Variational models for image deblurring problems typically consist of a smooth term and a potentially non-smooth convex term. A common approach to solving these problems is using p…

math.DG2024

Flat extensions of principal connections and the Chern-Simons -form

Andreas Čap, Keegan J. Flood, Thomas Mettler

We introduce the notion of a flat extension of a connection on a principal bundle. Roughly speaking, admits a flat extension if it arises as the pull-back of a component of…

math.NT2024★ 1 cited

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic -towers

Antonio Lei, Luca Mastella, Luochen Zhao

Let be an odd prime number and let be an imaginary quadratic field in which is split. Let be a modular form with good reduction at . We study the variation of th…

math.NT2024

P-adic Rankin-Selberg L-functions in universal deformation families and functional equations

Zeping Hao, David Loeffler

We construct a -adic Rankin-Selberg -function associated to the product of two families of modular forms, where the first is an ordinary (Hida) family, and the second an arbi…

cs.AI2020★ 66 cited

A clarification of misconceptions, myths and desired status of artificial intelligence

Frank Emmert-Streib, Olli Yli-Harja, Matthias Dehmer

The field artificial intelligence (AI) has been founded over 65 years ago. Starting with great hopes and ambitious goals the field progressed though various stages of popularity an…

math.NT2020★ 15 cited

On the Bloch-Kato conjecture for GSp(4)

David Loeffler, Sarah Livia Zerbes

We prove an explicit reciprocity law for the Euler system attached to the spin motive of a genus 2 Siegel modular form. As consequences, we obtain one inclusion of the Iwasawa Main…

cs.AI2020★ 107 cited

Explainable Artificial Intelligence and Machine Learning: A reality rooted perspective

Frank Emmert-Streib, Olli Yli-Harja, Matthias Dehmer

We are used to the availability of big data generated in nearly all fields of science as a consequence of technological progress. However, the analysis of such data possess vast ch…

math.PR2016★ 5 cited

Stretch Factor of Long Paths in a planar Poisson-Delaunay Triangulation

Nicolas Chenavier, Olivier Devillers

Let , where is a planar Poisson point process of intensity . We provide a first non-trivial lower bound for the distance between the expected le…

quant-ph2016★ 9 cited

Continuous-Time Quantum Walks on Directed Bipartite Graphs

Beat Tödtli, Monika Laner, Jouri Semenov +3

This paper investigates continuous-time quantum walks on directed bipartite graphs based on a graph's adjacency matrix. We prove that on bipartite graphs, probability transport bet…

physics.soc-ph2013

The Role of Trends in Evolving Networks

Osnat Mokryn, Marcel Blattner, Yuval Shavitt

Modeling complex networks has been the focus of much research for over a decade. Preferential attachment (PA) is considered a common explanation to the self organization of evolvin…