Tootfinder

Don't miss today's packed Metacurity for a ton of critical infosec developments you should know, including
--UK to spend $1.1 billion relocating Afghan helpers following data breach
--DOGE worker published the private key for four dozen-plus LLMs,
--US gov't IT contractor to pay $14.75m fine for overstated cyber services,
--Italian cops arrest Romanian behind 'Diskstation' ransomware gang,
--OMB readies post-quantum standard,
--MSFT'…

UK to spend $1.1 billion relocating Afghan helpers following data breach
DOGE worker published the private key for four dozen-plus LLMs, US gov't IT contractor to pay $14.75m fine for overstated cyber services, Italian cops arrest Romanian behind 'Diskstation' ransomware gang, OMB readies post-quantum standard, MSFT's 'digital escorts' leave DoD vulnerable, much more

From Flat to Feeling: A Feasibility and Impact Study on Dynamic Facial Emotions in AI-Generated Avatars
Pegah Salehi, Sajad Amouei Sheshkal, Vajira Thambawita, P{\aa}l Halvorsen
https://arxiv.org/abs/2506.13477

From Flat to Feeling: A Feasibility and Impact Study on Dynamic Facial Emotions in AI-Generated Avatars
Dynamic facial emotion is essential for believable AI-generated avatars; however, most systems remain visually inert, limiting their utility in high-stakes simulations such as virtual training for investigative interviews with abused children. We introduce and evaluate a real-time architecture fusing Unreal Engine 5 MetaHuman rendering with NVIDIA Omniverse Audio2Face to translate vocal prosody into high-fidelity facial expressions on photorealistic child avatars. We implemented a distributed t…

Rescaling of unconditional Schauder frames in Hilbert spaces and completely bounded maps
Anton Tselishchev
https://arxiv.org/abs/2508.02802 https://arxiv.o…

Rescaling of unconditional Schauder frames in Hilbert spaces and completely bounded maps
We prove that if every element $u$ in a Hilbert space $H$ admits a representation as unconditionally convergent series $$u=\sum_{k=1}^\infty \langle u, y_k\rangle x_k,$$ then there exist nonzero scalars $\{α_k\}_{k=1}^\infty$ such that both sequences $\{α_k x_k\}_{k=1}^\infty$ and $\{\overlineα_k^{-1}y_k\}_{k=1}^\infty$ are frames. Our result has the following equivalent reformulation: if $Φ:\ell^\infty\to B(H)$ is a bounded linear map such that for every element of the unit vector basis $e…

The NEID Earth Twin Survey. III. Survey Performance After Three Years on Sky
Arvind F. Gupta, Evan Fitzmaurice, Suvrath Mahadevan, Paul Robertson, Jacob K. Luhn, Jason T. Wright, Sarah E. Logsdon, Daniel M. Krolikowski, Leonardo A. Paredes, Chad F. Bender, Mark R. Giovinazzi, Andrea S. Lin, Cullen H. Blake, Caleb I. Ca\~nas, Eric B. Ford, Samuel P. Halverson, Shubham Kanodia, Michael W. McElwain, Joe P. Ninan, Jayadev Rajagopal, Arpita Roy, Christian Schwab, Gu{\dh}mundur Stef\'ans…

The NEID Earth Twin Survey. III. Survey Performance After Three Years on Sky
The NEID Earth Twin Survey (NETS) has been delivering a rich set of precise radial velocity (RV) measurements for 41 bright, nearby main sequence stars. Here, we describe the status of the survey after three years on sky and we present the full set of RV measurements and accompanying stellar activity indicators. We discuss intermediate survey diagnostics, including calibration of the known RV zero point offset introduced following the Contreras fire in 2022 and the identification of an undiagno…

A Comparison of Relativistic Coupled Cluster and Equation of Motion Coupled Cluster Quadratic Response Theory
Xiang Yuan, Lo\"ic Halbert, Lucas Visscher, Andr\'e Severo Pereira Gomes
https://arxiv.org/abs/2506.22905

A Comparison of Relativistic Coupled Cluster and Equation of Motion Coupled Cluster Quadratic Response Theory
We present the implementation of relativistic coupled cluster quadratic response theory (QR-CC), following our development of relativistic equation of motion coupled cluster quadratic response theory (QR-EOMCC) [X. Yuan et al., J. Chem. Theory Comput. 2023, 19, 9248]. These codes, which can be used in combination with relativistic (2- and 4-component based) as well as non-relativistic Hamiltonians, are capable of treating both static and dynamic perturbations for electric and magnetic operators…

This https://arxiv.org/abs/2407.10609 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On products and partial isometry of Toeplitz operators with operator-valued symbols
We solve the following problems associated with Toeplitz operators $T_Φ$ on Hilbert space-valued Hardy spaces $H_{\mathcal{E}}^2(\mathbb{D}^n)$ over the unit polydisc $\mathbb{D}^n$. $(I)$ Given operator-valued bounded analytic functions $Γ, Ψ$ on $\mathbb{D}^n$, we completely characterize when the product $M_ΓM_Ψ^*$ becomes a Toeplitz operator by identifying tractable conditions on the functions. Furthermore, these conditions can be used to explicitly write the product into a sum of simpl…

Cyclic Operators, Linear Functionals and RKHS
Yi Wang
https://arxiv.org/abs/2507.17358 https://arxiv.org/pdf/2507.17358

Cyclic Operators, Linear Functionals and RKHS
Given a commuting $n$-tuple of bounded linear operators on a Hilbert space, together with a distinguished cyclic vector, Jim Agler defined a linear functional $Λ_{\mathbf{T},h}$ on the polynomial ring $\mathbb{C}[\mathbf{z},\bar{\mathbf{z}}]$. ``Near subnormality properties'' of an operator $T$ are translated into positivity properties of $Λ_{T,h}$. In this paper, we approach ``near subnormality properties'' in a different way by answering the following question: when is $Λ_{\mathbf{T},h}$ g…