Tootfinder

Classification by Separating Hypersurfaces: An Entropic Approach
Argimiro Arratia, Mahmoud El Daou, Henryk Gzyl
https://arxiv.org/abs/2507.02732 https://…

Classification by Separating Hypersurfaces: An Entropic Approach
We consider the following classification problem: Given a population of individuals characterized by a set of attributes represented as a vector in ${\mathbb R}^N$, the goal is to find a hyperplane in ${\mathbb R}^N$ that separates two sets of points corresponding to two distinct classes. This problem, with a history dating back to the perceptron model, remains central to machine learning. In this paper we propose a novel approach by searching for a vector of parameters in a bounded $N$-dimensi…

The Trump administration deported a 31-year-old Salvadoran man minutes after a federal appeals court barred his removal while his case proceeded, the government admitted in a court filing this week.
In its filing, the government denied that it had violated the order from the U.S. Court of Appeals for the Second Circuit, in New York, instead blaming “a confluence of administrative errors.”
The government had previously given the court what the judges called “express assurance” that…

Trump Officials Deported Another Man Despite Court Order
A federal appeals panel ordered officials not to deport a 31-year-old to El Salvador. Minutes later, it happened anyway. The government blamed “administrative errors.”

This https://arxiv.org/abs/2505.16529 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Modular forms of CM type mod $\ell$
We say that a normalized modular form without complex multiplication is of CM type modulo $\ell$ by an imaginary quadratic field $K$ if its Fourier coefficients $a_p$ are $0$ modulo a prime ideal dividing $\ell$ for every prime $p$ inert in $K$. In this paper, we address the following problem: Given a weight 2 cuspidal Hecke eigenform $f$ without CM which is of CM type modulo $\ell$ by an imaginary quadratic field $K$, does there exist a congruence modulo $\ell$ between $f$ and a genuine CM m…

Trade-Offs in EuBa2Cu3Oy Films containing Artificial Pinning Centers: Higher Critical Currents yet Faster Vortex Creep
Jiangteng Liu, Masashi Miura, Daisaku Yokoe, Takeharu Kato, Akira Ibi, Teruo Izumi, Serena Eley
https://arxiv.org/abs/2507.01119

Trade-Offs in EuBa2Cu3Oy Films containing Artificial Pinning Centers: Higher Critical Currents yet Faster Vortex Creep
The electromagnetic properties of type-II superconductors depend on vortices-magnetic flux lines whose motion introduces dissipation that can be mitigated by pinning from material defects. The material disorder landscape is tuned by the choice of materials growth technique and incorporation of impurities that serve as vortex pinning centers. For example, metal organic deposition (MOD) and pulsed laser deposition (PLD) produce high-quality superconducting films with uncorrelated versus correlate…

Existence of normalized solutions to nonlinear Schr\"odinger equations on lattice graphs
Zhentao He, Chao Ji, Yifan Tao
https://arxiv.org/abs/2507.01591

Existence of normalized solutions to nonlinear Schrödinger equations on lattice graphs
In this paper, using a discrete Schwarz rearrangement on lattice graphs developed in \cite{DSR}, we study the existence of global minimizers for the following functional $I:H^1\left(\mathbb{Z}^N\right)\to \R$, $$I(u)=\frac{1}{2} \int_{\mathbb{Z}^N}|\nabla u|^2 \,dμ-\int_{\mathbb{Z}^N} F(u)\, dμ,$$ constrained on $S_m:=\left\{u \in H^1\left(\mathbb{Z}^N\right) \mid\|u\|_{\ell^2\left(\mathbb{Z}^N\right)}^2=m\right\}$, where $N \geq 2$, $m>0$ is prescribed, $f \in C(\mathbb{R…

Swalwell: You were promised lower prices on day one. How many of you are feeling those lower prices?
You were promised an end to all wars on day one. How many of you have seen an end to those wars?
Donald Trump is 0 for 150. He made those promises on day one—and now we’re on day 150.
https://

CANUCS/Technicolor Data Release 1: Imaging, Photometry, Slit Spectroscopy, and Stellar Population Parameters
Ghassan T. E. Sarrouh, Yoshihisa Asada, Nicholas S. Martis, Chris J. Willott, Kartheik G. Iyer, Ga\"el Noirot, Adam Muzzin, Marcin Sawicki, Gabriel Brammer, Guillaume Desprez, Gregor Rihtar\v{s}i\v{c}, Johannes Zabl, Roberto Abraham, Maru\v{s}a Brada\v{c}, Ren\'e Doyon, Jacqueline Antwi-Danso, Samantha Berek, Westley Brown, Vince Estrada-Carpenter, Jeremy Favaro, Giorda…

CANUCS/Technicolor Data Release 1: Imaging, Photometry, Slit Spectroscopy, and Stellar Population Parameters
We present the first data release of the CAnadian NIRISS Unbiased Cluster Survey (CANUCS), a JWST Cycle 1 GTO program targeting 5 lensing clusters and flanking fields in parallel (Abell 370, MACS0416, MACS0417, MACS1149, MACS1423; survey area \tilda100 arcmin$^{2}$), with NIRCam imaging, NIRISS slitless spectroscopy, and NIRSpec prism multi-object spectroscopy. Fields centered on cluster cores include imaging in 8 bands from 0.9-4.4$μ$m, alongside continuous NIRISS coverage from 1.15-2$μ$m, w…

The Films, Theatre and Political Life of Elia Kazan
https://ift.tt/5J0AwPp
updated: Thursday, June 26, 2025 - 9:38amfull name / name of organization: William Thomas…
via Input 4 RELCFP https…

Stability results of the Bishop-Phelps-Bollob\'as property and the generalized AHSP
Thiago Grando, Elisa R. Santos
https://arxiv.org/abs/2506.17762 htt…

Stability results of the Bishop-Phelps-Bollobás property and the generalized AHSP
In this paper, we study the Bishop-Phelps-Bollobás property for operators (BPBp for short). To this end, we investigate the generalized approximate hyperplane series property (generalized AHSP for short) for a pair $(X,Y)$ of Banach spaces, which characterizes when $(\ell_1(X),Y)$ has the BPBp. We prove the following results. For $L$ a locally compact Hausdorff space and $\mathcal{A}$ a unital uniform algebra, if either $(X, \mathcal{C}_0(L,Y))$ or $(X, \mathcal{A}^Y)$ has the BPBp, then so do…

Evaluation of Modular Polynomials from Supersingular Elliptic Curves
Maria Corte-Real Santos, Jonathan Komada Eriksen, Antonin Leroux, Michael Meyer, Lorenz Panny
https://arxiv.org/abs/2506.15429

Evaluation of Modular Polynomials from Supersingular Elliptic Curves
We present several new algorithms to evaluate modular polynomials of level $\ell$ modulo a prime $p$ on an input $j$. More precisely, we introduce two new generic algorithms, sharing the following similarities: they are based on a CRT approach; they make use of supersingular curves and the Deuring correspondence; and, their memory requirements are optimal. The first algorithm combines the ideas behind a hybrid algorithm of Sutherland in 2013 with a recent algorithm to compute modular polyno…