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The complete boundedness of singular integrals on weighted flag and product Hardy space
Jian Tan
https://arxiv.org/abs/2506.23430 https://

The complete boundedness of singular integrals on weighted flag and product Hardy space
It is known that product singular integrals are bounded on product Hardy spaces and that flag singular integrals are bounded on flag Hardy spaces. The purpose of this paper is to obtain the complete boundedness of singular integrals on weighted flag and product Hardy spaces. In particular, we prove the boundedness of one-parameter singular integrals on both weighted flag and product Hardy spaces, as well as the boundedness of flag singular integrals on weighted product Hardy spaces.

Global Predecessor Indexing: Avoiding Binary Search in Weighted Job Scheduling
Amit Joshi
https://arxiv.org/abs/2506.22922 https://ar…

Global Predecessor Indexing: Avoiding Binary Search in Weighted Job Scheduling
We present an improved solution to the Weighted Job Scheduling (WJS) problem. While the classical dynamic programming (DP) solution runs in $O(n \log(n))$ time due to comparison-based sorting and per-job binary search, we eliminate the binary search bottleneck. In its place, we introduce a novel multi-phase preprocessing technique called Global Predecessor Indexing (GPI), which computes the latest non-overlapping job (i.e., the predecessor) for all jobs via a two-pointer linear-time pass. GPI e…

Finsler Metric Clustering in Weighted Projective Spaces
Tony Shaska
https://arxiv.org/abs/2507.00001 https://arxiv.org/pdf/2507.00001…

Finsler Metric Clustering in Weighted Projective Spaces
This paper develops a hierarchical clustering algorithm for weighted projective spaces $\mathbb{P}_{\mathbf{q}}$, utilizing a Finsler metric $ d_F([z], [w]) $ and its rational analogue $ d_{F,\mathbb{Q}}([z], [w])$ to define distances that preserve the non-Euclidean geometry of these quotient manifolds. Defined via geodesic integrals of a scaling invariant Finsler norm weighted by the grades $\mathbf{q} = (q_0, q_1, \dots, q_n)$, these metrics satisfy true metric properties including the triang…

advogato: Advogato trust network (2009)
A network of trust relationships among users on Advogato, an online community of open source software developers. Edge direction indicates that node i trusts node j, and edge weight denotes one of four increasing levels of declared trust from i to j: observer (0.4), apprentice (0.6), journeyer (0.8), and master (1.0).
This network has 6541 nodes and 51127 edges.
Tags: Social, Online, Weighted

Continuous Noncrossing Partitions and Weighted Circular Factorizations
Michael Dougherty, Jon McCammond
https://arxiv.org/abs/2507.00283 https://

Continuous Noncrossing Partitions and Weighted Circular Factorizations
This article examines noncrossing partitions of the unit circle in the complex plane; we call these continuous noncrossing partitions. More precisely, we focus on the degree-$d$ continuous noncrossing partitions where unit complex numbers in the same block have identical $d$-th powers. We prove that the degree-$d$ continuous noncrossing partitions form a topological poset whose uncountable set of elements can be indexed by equivalence classes of objects we call weighted linear factorizations of…

Partially-shared Imaging Regression on Integrating Heterogeneous Brain-Cognition Associations across Alzheimer's Diagnoses
Yang Sui, Qi Xu, Ting Li, Yang Bai, Annie Qu
https://arxiv.org/abs/2505.24259

Partially-shared Imaging Regression on Integrating Heterogeneous Brain-Cognition Associations across Alzheimer's Diagnoses
This paper is motivated by the heterogeneous associations among demographic covariates, imaging data, and cognitive performances across different diagnostic groups within the Alzheimer's Disease Neuroimaging Initiative (ADNI) study. We propose a novel PArtially-shared Imaging Regression (PAIR) model with smooth spatial component integration to capture heterogeneous imaging coefficients across multiple data sources. The model assumes that each imaging coefficient can be represented as a weighted…

This https://arxiv.org/abs/2501.06935 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Feedback Arc Sets and Feedback Arc Set Decompositions in Weighted and Unweighted Oriented Graphs
For any arc-weighted oriented graph $D=(V(D), A(D),w)$, we write ${\rm fas}_w(D)$ to denote the minimum weight of a feedback arc set in $D$. In this paper, we consider upper bounds on ${\rm fas}_w(D)$ for arc-weight oriented graphs $D$ with bounded maximum degrees and directed girth. We obtain such bounds by introducing a new parameter ${\rm fasd}(D)$, which is the maximum integer such that $A(D)$ can be partitioned into ${\rm fasd}(D)$ feedback arc sets. This new parameter seems to be intere…

Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems
Markus Bause, Marius Paul Bruchh\"auser, Bernhard Endtmayer, Nils Margenberg, Ioannis Toulopoulos, Thomas Wick
https://arxiv.org/abs/2507.00723

Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems
In this work, we present an anisotropic multi-goal error control based on the Dual Weighted Residual (DWR) method for time-dependent convection-diffusion-reaction (CDR) equations. This multi-goal oriented approach allows for an accurate and efficient error control with regard to several quantities of interest simultaneously. Using anisotropic interpolation and restriction operators, we obtain elementwise error indicators in space and time, where the spatial indicators are additionally separated…

This https://arxiv.org/abs/2503.19704 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSI_…

Can Invisible Psychological Traits Organize Visible Network Structure? A Complex Network Analysis of Myers-Briggs Type Indicator-Based Interaction Patterns in Anonymous Social Networks
Exploration of the impact of personality traits on social interactions within anonymous online communities poses a challenge at the interface of networked social sciences and psychology. We analyze whether Myers-Briggs Type Indicator (MBTI) personality types impact the dynamics of interactions on an anonymous chat system with over 288,000 messages from 6,076 users. Using a data set including 940 users voluntarily providing MBTI typing and gender, we create a weighted undirected network and appl…

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Wo bleibt das Verantwortungsgefühl für Klima, Umwelt und kommende Generationen? - Wilhelmsburger InselRundblick
Wo bleibt das Verantwortungsgefühl für Klima, Umwelt und kommende Generationen? Offener Brief an den Kreisverband der Grünen in Hamburg-Mitte