Tootfinder

Loglinear Hawkes processes
Tomasz R. Bielecki, Jacek Jakubowski, Matthias Kirchner, Mariusz Niew\k{e}g{\l}owski
https://arxiv.org/abs/2507.11265 https://…

Loglinear Hawkes processes
This paper discusses a special class of nonlinear Hawkes processes, where the rate function is the exponential function. We call these processes loglinear Hawkes processes. In the main theorem, we give sufficient conditions for explosion and nonexplosion that cover a large class of practically relevant memory functions. We also investigate stability. In particular, we show that for nonpositive memory functions the loglinear Hawkes process is stable. The paper aims at providing a theoretical bas…

Filing: Samsung agreed to settle a patent lawsuit over wireless tech with Headwater Research following a $279M jury verdict against Samsung earlier in 2025 (Blake Brittain/Reuters)
https://www.reuters.com/legal/legalindustr

Understanding the Modality Gap: An Empirical Study on the Speech-Text Alignment Mechanism of Large Speech Language Models
Bajian Xiang, Shuaijiang Zhao, Tingwei Guo, Wei Zou
https://arxiv.org/abs/2510.12116

Understanding the Modality Gap: An Empirical Study on the Speech-Text Alignment Mechanism of Large Speech Language Models
End-to-end Large Speech Language Models (LSLMs) have demonstrated impressive conversational generation abilities, yet consistently fall short of traditional pipeline systems on semantic understanding benchmarks. In this work, we reveal through systematic experimentation that although LSLMs lose some text input performance after speech-text alignment training, the performance gap between speech and text inputs is more pronounced, which we refer to as the modality gap. To understand this gap, we …

LASLiN: A Learning-Augmented Peer-to-Peer Network
Julien Dallot, Caio Caldeira, Arash Pourdamghani, Olga Goussevskaia, Stefan Schmid
https://arxiv.org/abs/2509.11904 https://

LASLiN: A Learning-Augmented Peer-to-Peer Network
We introduce a learning-augmented peer-to-peer (P2P) network design that leverages the predictions of traffic patterns to optimize the network's topology. While keeping formal guarantees on the standard P2P metrics (routing path length, maximum degree), we optimize the network in a demand-aware manner and minimize the path lengths weighted by the peer-to-peer communication demands. Our protocol is learning-augmented, meaning that each node receives an individual, possibly inaccurate prediction …

‘Football’ by Ashton Jeanty 🎵 https://www.youtube.com/shorts/LIkl9Am0Iy0

On the distinction between Kloosterman sums and multiplicative functions
Yang Zhang
https://arxiv.org/abs/2510.10721 https://arxiv.org/pdf/2510.10721

On the distinction between Kloosterman sums and multiplicative functions
Let $S(a,b;n)$ be the Kloosterman sum. For any integers $a\neq0,b\neq0,k\geqslant2$, any given complex number $η\not=0$ and multiplicative function $f: \mathbb{N} \rightarrow \mathbb{C}$, we show that \[ |\{n\leqslant X:S(a,b;n)=ηf(n), n \text{ square-free }k\text{-almost prime}\}|\leqslant π(\dfrac{X}{L_k})+O(X^{1-\frac{1}{2k}}) \] and \[ |\{n\leqslant X:S(a,b;n)=ηf(n), n \text{ square-free}\}|\leqslant π(X)+O(Xe^{-\sqrt{\log X}}) \] as $X\rightarrow \infty$. Here, $L_…

Something along the line of 'I can't define art/porn, but I know it when I see it'
DOJ Attempts to Define Illegal DEI: Warning Recipients of Federal Funds to Take Notice | Baker Donelson - JDSupra
https://www.jdsupra.com/legalnews/doj-attempts-to-define-illegal-dei-7993010/

Windows: Insider-Vorschauen verbauen Einrichtung mit lokalem Konto
Microsoft verbaut die Einrichtung mit lokalem Konto in den jüngsten Windows-Insider-Vorschauen. Es gibt aber auch neue Funktionen.
https:/…

A profile of Lachlan Murdoch, an intensely private person who moved to Sydney in 2021 and is set to control the Murdoch empire, retaining its conservative tilt (New York Times)
https://www.nytimes.com/2025/09/09/business/media/lachlan-murdoch-fox-news-cor…

Who Is Lachlan Murdoch, the Media Prince Who Would Be King
A new deal gives him control of his family’s media empire, including Fox News, for probably decades to come.

Uit angst voor progressieve ‘coup’ bij media-imperium NewsCorp kopen Murdoch en zoon Lachlan familieleden uit https://www.nrc.nl/nieuws/2025/09/09/uit-angst-voor-progressieve-coup-…

Uit angst voor progressieve ‘coup’ bij media-imperium NewsCorp kopen Murdoch en zoon Lachlan familieleden uit
Mediafamilie: Met de beslechting van een familievete blijft de rechts-conservatieve koers binnen het Murdoch-media-imperium gewaarborgd, ook na Ruperts dood. NewsCorp-baas Lachlan Murdoch gaat over de toekomst, nadat drie progressievere kinderen zijn uitgekocht.