Tootfinder

Sources: Oracle is among a consortium of companies that would enable TikTok to continue US operations if a framework deal between the US and China is finalized (Jennifer Jacobs/CBS News)
https://www.cbsnews.com/news/oracle-tiktok-deal-trump-administration-china/…

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels
Pramath Anamby, Soumya Das
https://arxiv.org/abs/2509.12148 https://a…

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels
We prove the following statement about any Siegel modular form $F$ of degree $n$ and arbitrary odd level $N$ on the group $Γ_1^{(n)}(N)$. Let $A(F,T)$ denote the Fourier coefficients of $F$ and write $T=(T(i,j))$. Suppose that $F$ has a non-zero Fourier coefficient $A(F,T_0)$ such that $(T_0(n,n),N)=1$. Then there exist infinitely many odd and square-free (and thus fundamental) integers $m$ such that $m=\mathrm{discriminant}(T)$ and $A(F,T)\neq 0$. In the case of odd degrees, we prove a stro…

Neural Network Localized Orthogonal Decomposition for Numerical Homogenization of Diffusion Operators with Random Coefficients
Fabian Kr\"opfl, Daniel Peterseim, Elisabeth Ullmann
https://arxiv.org/abs/2509.12896

Neural Network Localized Orthogonal Decomposition for Numerical Homogenization of Diffusion Operators with Random Coefficients
This paper presents a neural network--enhanced surrogate modeling approach for diffusion problems with spatially varying random field coefficients. The method builds on numerical homogenization, which compresses fine-scale coefficients into coarse-scale surrogates without requiring periodicity. To overcome computational bottlenecks, we train a neural network to map fine-scale coefficient samples to effective coarse-scale information, enabling the construction of accurate surrogates at the targe…

Sources: Oracle is among a consortium of companies that would enable TikTok to continue US operations if a framework deal between the US and China is finalized (Jennifer Jacobs/CBS News)
https://www.cbsnews.com/news/oracle-tiktok-deal-trump-administration-china/…

Mike Pence says "the time has come" to release the Epstein files (Patrick Maguire/CBS News)
https://www.cbsnews.com/news/mike-pence-on-jeffrey-epstein-files-trump/
http://www.memeorandum.com/250716/p181#a250716p181

Varying-Coefficient Fr\'echet Regression
Yanzhao Wang, Jianqiang Zhang, Wangli Xu
https://arxiv.org/abs/2509.11061 https://arxiv.org/pdf/2509.11061

Varying-Coefficient Fréchet Regression
As a growing number of problems involve variables that are random objects, the development of models for such data has become increasingly important. This paper introduces a novel varying-coefficient Fréchet regression model that extends the classical varying-coefficient framework to accommodate random objects as responses. The proposed model provides a unified methodology for analyzing both Euclidean and non-Euclidean response variables. We develop a comprehensive estimation procedure that ac…

Enhanced Hydrodynamic Modeling of Offshore Wind Turbines using Morison's Equation with Frequency-Dependent Coefficients
Md Sakif, Doyal Sarker, Kazi Mohsin, Tri Ngo, Tuhin Das
https://arxiv.org/abs/2509.12536

Enhanced Hydrodynamic Modeling of Offshore Wind Turbines using Morison's Equation with Frequency-Dependent Coefficients
This paper presents a novel approach for implementing frequency-dependent hydrodynamic coefficients in Morison's equation, which is widely used in hydrodynamics modeling. Accurate hydrodynamic predictions using Morison's equation necessitate the incorporation of frequency-dependent drag coefficients due to their variation with wave frequency. To address this, the proposed method segments the frequency domain into different regions, such as low-frequency (resonance) and high-frequency (wave) reg…

Search underway for man accused of "act of terror" at FBI Pittsburgh field office after car rams into entrance gate (Mike Darnay/CBS News)
https://www.cbsnews.com/pittsburgh/news/fbi-pittsburgh-vehicle-slams-into-gate-entrance-investigation/
http://www.memeorandum.com/250917/p4#a250917p4

Despite vow to remove the worst offenders, ICE data shows less than 1% of deportees had murder convictions (Margaret Brennan/CBS News)
https://www.cbsnews.com/news/trump-administration-ice-data-shows-less-than-1-of-deportees-had-murder-convictions/
http://www.memeorandum.com/250716/p176#a250716p176

U.S. probing immigration applicants' social media to identify "anti-American" activity that's "beyond the pale," official says (Camilo Montoya-Galvez/CBS News)
https://www.cbsnews.com/news/immigration-social-media-anti-american-uscis-joseph-edlow/
http://www.memeorandum.com/251016/p70#a251016p70