Tootfinder

Die Verwaltung entdeckt Matrix – nicht den Film, das Prototkoll. Esther Menhard berichtet: Statt weiter im OSCI-Altbau zu wohnen, zieht man ins offene Loft. Zwischen 900 Anforderungen und föderalem Klein-Klein droht auch dieser Digitalisierungsversuch im deutschen Verwaltungslabyrinth zu versanden. Digitalisierung, Reloaded!
#Verwaltungsdigitalisierung

Verwaltungsdigitalisierung: Arbeitsgruppe empfiehlt Matrix-Protokoll für Behördenkommunikation
Online-Kommunikation mit Behörden ist für Bürger*innen und Unternehmen kompliziert, für Verwaltungen oft teuer und aufwendig. Das soll sich ändern: Eine Arbeitsgruppe von IT-Architekten aus Bund und Ländern schlägt vor, wie alle von einer gemeinsamen Infrastruktur profitieren, und empfehlen das offene Kommunikationsprotokoll Matrix.

Numerical Techniques for the Maximum Likelihood Toeplitz Covariance Matrix Estimation: Part I. Symmetric Toeplitz Matrices
Yuri Abramovich, Victor Abramovich, Tanit Pongsiri
https://arxiv.org/abs/2507.01230

Numerical Techniques for the Maximum Likelihood Toeplitz Covariance Matrix Estimation: Part I. Symmetric Toeplitz Matrices
In several applications, one must estimate a real-valued (symmetric) Toeplitz covariance matrix, typically shifted by the conjugated diagonal matrices of phase progression and phase "calibration" errors. Unlike the Hermitian Toeplitz covariance matrices, these symmetric matrices have a unique potential capability of being estimated regardless of these beam-steering phase progression and/or phase "calibration" errors. This unique capability is the primary motivation of this paper.

Root/Additional Metric (RoAM) framework: a guide for goal-centred metric construction
Luke E. B. Goodyear, Daniel Pincheira-Donoso
https://arxiv.org/abs/2507.01526

Root/Additional Metric (RoAM) framework: a guide for goal-centred metric construction
The use of metrics underpins the quantification, communication and, ultimately, the functioning of a wide range of disciplines as diverse as labour recruitment, institutional management, economics and science. For application of metrics, customised scores are widely employed to optimise progress monitoring towards a goal, to contribute to decision-making, and to quantify situations under evaluation. However, the development of such metrics in complex and rigorous settings intrinsically relies o…

Permanental Analog of the Rank-Nullity Theorem for Symmetric Matrices
Priyanshu Kumar Pant, Surabhi Chakrabartty, Ranveer Singh
https://arxiv.org/abs/2507.01344

Permanental Analog of the Rank-Nullity Theorem for Symmetric Matrices
The rank-nullity theorem is a core result in the study of matrices. The rank of an $n \times n$ matrix is equal to the size of its largest square submatrix with a nonzero determinant; it can be computed in $O(n^{2.37})$ time. For symmetric matrices, the rank equals to the number of nonzero eigenvalues (that is, the nonzero roots of the characteristic polynomial), which implies that the nullity equals the multiplicity of zero eigenvalue. Similar to the rank, the permanental rank of a matrix is t…

Birational equivalence of exponential matrices
Ryuji Tanimoto
https://arxiv.org/abs/2507.02317 https://arxiv.org/pdf/2507.02317

Birational equivalence of exponential matrices
Let $k$ be an algebraically closed field of characteristic $p \geq 0$ and let $\mathbb{G}_a$ denote the additive group of $k$. We give one-to-one correspondences between exponentional matrices and various objects, and in particular give a one-to-one correspondence between exponential matrices of size $n$-by-$n$ and $\mathbb{G}_a$-actions on the $(n - 1)$-dimensional projective space. We then introduce birational equivalence of exponential matrices and start to classify exponential matrices bira…

'Tied to a motorcycle and dragged' — Russia likely executed another Ukrainian POW, ombudsman says: https://benborges.xyz/2025/07/02/tied-to-a-motorcycle-and.html

Regionalized Metric Framework: A Novel Approach for Evaluating Multimodal Multi-Objective Optimization Algorithms
Jintai Chen, Fangqing Liu, Xueming Yan, Han Huang
https://arxiv.org/abs/2506.00468

Regionalized Metric Framework: A Novel Approach for Evaluating Multimodal Multi-Objective Optimization Algorithms
This study aims to optimize the evaluation metric of multimodal multi-objective optimization problems using a Regionalized Metric Framework, which provides a certain boost to research in this field. Existing evaluation metrics usually use the reference set as the evaluation basis, which inevitably leads to reference set dependence. To optimize this problem, this study proposes an evaluation metric based on a Regionalized Metric Framework. The algorithm divides the set of solutions to be evaluat…

Constructing Two Metrics for Spencer Cohomology: Hodge Decomposition of Constrained Bundles
Dongzhe Zheng
https://arxiv.org/abs/2506.00752 https://

Constructing Two Metrics for Spencer Cohomology: Hodge Decomposition of Constrained Bundles
This paper establishes a metric framework for Spencer complexes based on the geometric theory of compatible pairs $(D,λ)$ in principal bundle constraint systems, solving fundamental technical problems in computing Spencer cohomology of constraint systems. We develop two complementary and geometrically natural metric schemes: a tensor metric based on constraint strength weighting and an induced metric arising from principal bundle curvature geometry, both maintaining deep compatibility with the…

Long-term performance of intracortical microelectrode arrays in 14 BrainGate clinical trial participants #BCI

Long-term performance of intracortical microelectrode arrays in 14 BrainGate clinical trial participants
Brain–computer interfaces have enabled people with paralysis to control computer cursors, operate prosthetic limbs, and communicate through handwriting, speech, and typing. Most high-performance demonstrations have used silicon microelectrode "Utah" arrays to record brain activity at single neuron resolution. However, reports so far have typically been limited to one or two individuals, with no systematic assessment of the longevity, decoding accuracy, and day–to–day stability properties …

🇺🇦 #NowPlaying on KEXP's #AstralPlane
Parliament:
🎵 Mothership Connection (Star Child)
#Parliament
https://kevincrates.bandcamp.com/track/mothership-connection-kev-crates-mix