Tootfinder

Lattices in rigid analytic representations
Andrea Conti, Emiliano Torti
https://arxiv.org/abs/2403.20232 https://arxiv.org/pdf/2403.2…

Lattices in rigid analytic representations
For a profinite group $G$ and a rigid analytic space $X$, we study when an $\mathcal O_X(X)$-linear representation $V$ of $G$ admits a lattice, i.e. an $\mathcal O_{\mathcal X}(\mathcal X)$-linear model for a formal model $\mathcal X$ of $X$ in the sense of Berthelot. We give a positive answer, under mild assumptions, when $X$ is a "wide open" space. Via such a result, we are able to describe explicit subdomains of $X$ over which $V$ is constant after reduction modulo a power of $p$. As an appl…

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Ergodicity for 2D Navier-Stokes equations with a degenerate pure jump noise
Xuhui Peng, Jianliang Zhai, Tusheng Zhang
https://arxiv.org/abs/2405.00414 http…

Ergodicity for 2D Navier-Stokes equations with a degenerate pure jump noise
In this paper, we establish the ergodicity for stochastic 2D Navier-Stokes equations driven by a highly degenerate pure jump Lévy noise. The noise could appear in as few as four directions. This gives an affirmative anwser to a longstanding problem. The case of Gaussian noise was treated in Hairer and Mattingly [\emph{Ann. of Math.}, 164(3):993--1032, 2006]. To obtain the uniqueness of invariant measure, we use Malliavin calculus and anticipating stochastic calculus to establish the equi-conti…

Out-of-Distribution Detection using Maximum Entropy Coding
Mojtaba Abolfazli, Mohammad Zaeri Amirani, Anders H{\o}st-Madsen, June Zhang, Andras Bratincsak
https://arxiv.org/abs/2404.17023

Out-of-Distribution Detection using Maximum Entropy Coding
Given a default distribution $P$ and a set of test data $x^M=\{x_1,x_2,\ldots,x_M\}$ this paper seeks to answer the question if it was likely that $x^M$ was generated by $P$. For discrete distributions, the definitive answer is in principle given by Kolmogorov-Martin-Löf randomness. In this paper we seek to generalize this to continuous distributions. We consider a set of statistics $T_1(x^M),T_2(x^M),\ldots$. To each statistic we associate its maximum entropy distribution and with this a univ…

Retrieval-Augmented Generation with Knowledge Graphs for Customer Service Question Answering
Zhentao Xu, Mark Jerome Cruz, Matthew Guevara, Tie Wang, Manasi Deshpande, Xiaofeng Wang, Zheng Li
https://arxiv.org/abs/2404.17723

Retrieval-Augmented Generation with Knowledge Graphs for Customer Service Question Answering
In customer service technical support, swiftly and accurately retrieving relevant past issues is critical for efficiently resolving customer inquiries. The conventional retrieval methods in retrieval-augmented generation (RAG) for large language models (LLMs) treat a large corpus of past issue tracking tickets as plain text, ignoring the crucial intra-issue structure and inter-issue relations, which limits performance. We introduce a novel customer service question-answering method that amalgam…

I REALLY wish people would stop saying
“please stop using x”
If their answer to someone asking “what should I use instead?”
Is: “I dunno, something else.”
Just fucking stop.
(╯°□°）╯︵ ┻━┻
What do I suggest you do instead?
“Shut the fuck up”.
I will also accept “fuck I hate x, I wish there was an alternative to it.”

Supernova Electron-Neutrino Interactions with Xenon in the nEXO Detector
nEXO Collaboration, S. Hedges, S. Al Kharusi, E. Angelico, J. P. Brodsky, G. Richardson, S. Wilde, A. Amy, A. Anker, I. J. Arnquist, P. Arsenault, A. Atencio, I. Badhrees, J. Bane, V. Belov, E. P. Bernard, T. Bhatta, A. Bolotnikov, J. Breslin, P. A. Breur, E. Brown, T. Brunner, E. Caden, G. F. Cao, L. Q. Cao, D. Cesmecioglu, E. Chambers, B. Chana, S. A. Charlebois, D. Chernyak, M. Chiu, R. Collister, M. Cvitan, J.…

Supernova Electron-Neutrino Interactions with Xenon in the nEXO Detector
Electron-neutrino charged-current interactions with xenon nuclei were modeled in the nEXO neutrinoless double-beta decay detector (~5-tonne, 90% ${}^{136}$Xe, 10% ${}^{134}$Xe) to evaluate its sensitivity to supernova neutrinos. Predictions for event rates and detectable signatures were modeled using the MARLEY event generator. We find good agreement between MARLEY's predictions and existing theoretical calculations of the inclusive cross sections at supernova neutrino energies. The interaction…

Okay okay
We are getting close to get answers, kind of 🙄
Look at this thread
https://x.com/ycfederation/status/1772555077036691952?s=61

Young Conservative Federation (@YCFederation) on X
🧵Let’s meet the Commissioners for the Port of Baltimore, starting with Karenthia A Barber. She knows nothing about Ports, but she is a “diversity, equity, inclusion and belonging (DEIB) auditor and consultant”

This https://arxiv.org/abs/2404.07026 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCC_…

Optimal Communication Complexity of Chained Index
We study the CHAIN communication problem introduced by Cormode et al. [ICALP 2019]. It is a generalization of the well-studied INDEX problem. For $k\geq 1$, in CHAIN$_{n,k}$, there are $k$ instances of INDEX, all with the same answer. They are shared between $k+1$ players as follows. Player 1 has the first string $X^1 \in \{0,1\}^n$, player 2 has the first index $σ^1 \in [n]$ and the second string $X^2 \in \{0,1\}^n$, player 3 has the second index $σ^2 \in [n]$ along with the third string $X^…

Good news
https://x.com/collinrugg/status/1781695551446376714?s=46

Collin Rugg (@CollinRugg) on X
New: Seattle police shoot and kill a 67-year-old pedoph*le who showed up at a hotel to meet up with two girls, 7 and 11 years old. This is how it’s done 🔥 Seattle officers were waiting inside the hotel room when the man arrived. When the police officers answered the door, the…