Tootfinder

Repeated warnings of AI-driven layoffs is fueling anxiety among workers, who report feeling pressured to accept pay cuts or worse conditions to keep their jobs (Anne Lutz Fernandez/Nobody Wants This)
https://nobody-wants-this.ghost.io/ai-is-already-disemp…

AI is Already Disempowering Workers Through Hype
Workers and students are being prepped for less power in the workplace

Sparse-mode Dynamic Mode Decomposition for Disambiguating Local and Global Structures
Sara M. Ichinaga, Steven L. Brunton, Aleksandr Y. Aravkin, J. Nathan Kutz
https://arxiv.org/abs/2507.19787

Sparse-mode Dynamic Mode Decomposition for Disambiguating Local and Global Structures
The dynamic mode decomposition (DMD) is a data-driven approach that extracts the dominant features from spatiotemporal data. In this work, we introduce sparse-mode DMD, a new variant of the optimized DMD framework that specifically leverages sparsity-promoting regularization in order to approximate DMD modes which have localized spatial structure. The algorithm maintains the noise-robust properties of optimized DMD while disambiguating between modes which are spatially local versus global in na…

SK2Decompile: LLM-based Two-Phase Binary Decompilation from Skeleton to Skin
Hanzhuo Tan, Weihao Li, Xiaolong Tian, Siyi Wang, Jiaming Liu, Jing Li, Yuqun Zhang
https://arxiv.org/abs/2509.22114

SK2Decompile: LLM-based Two-Phase Binary Decompilation from Skeleton to Skin
Large Language Models (LLMs) have emerged as a promising approach for binary decompilation. However, the existing LLM-based decompilers still are somewhat limited in effectively presenting a program's source-level structure with its original identifiers. To mitigate this, we introduce SK2Decompile, a novel two-phase approach to decompile from the skeleton (semantic structure) to the skin (identifier) of programs. Specifically, we first apply a Structure Recovery model to translate a program's b…

Here are the eco awareness days coming in the next 3 months.
https://primonatura.co.uk/eco-awareness-days-3-month-calendar-october-to-december-2025/

Eco Awareness Days: 3-Month Calendar (October to December 2025)
Our quarterly blog outlines a selection of upcoming environmental consciousness awareness days celebrated in both the UK and around the globe. This time we are looking at October to December, which raises awareness of many animals such as otters, chickens, and crows. TK October International Walk To School Month – 1st

Decompositions of augmentation varieties via weaves and rulings
Johan Asplund, Orsola Capovilla-Searle, James Hughes, Caitlin Leverson, Wenyuan Li, Angela Wu
https://arxiv.org/abs/2508.20226

Decompositions of augmentation varieties via weaves and rulings
The braid variety of a positive braid and the augmentation variety of a Legendrian link both admit decompositions coming from weaves and rulings, respectively. We prove that these decompositions agree under an isomorphism between the braid variety and the augmentation variety. We also prove that both decompositions coincide with a Deodhar decomposition and another decomposition coming from the microlocal theory of sheaves. Our proof relies on a detailed comparison between weaves and Morse compl…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Disiniblud:
🎵 Traces in the Window
#Disiniblud
https://ninakeith.bandcamp.com/track/traces-in-the-window-ft-aspidistrafly
https://open.spotify.com/track/70N35HShlC1fBkpR116CQV

Decomposing the Automorphism group of the surreal numbers
Elliot Kaplan, Lothar Sebastian Krapp, Michele Serra
https://arxiv.org/abs/2509.22374 https://arx…

Decomposing the Automorphism group of the surreal numbers
We study the automorphism group of the field of surreal numbers. Our main structure theorem presents a decomposition of this group into a product of five significant factors. Using the representation of surreal numbers as generalized power series via their Conway normal form, we apply results on Hahn fields and groups from the literature in order to obtain this decomposition. Moreover, we provide explicit descriptions of the individual factors enabling us to construct automorphisms on the field…

Beyond Nash-Williams: Counterexamples to Clique Decomposition Thresholds for All Cliques Larger than Triangles
Michelle Delcourt, Cicely Henderson, Thomas Lesgourgues, Luke Postle
https://arxiv.org/abs/2508.20819

Beyond Nash-Williams: Counterexamples to Clique Decomposition Thresholds for All Cliques Larger than Triangles
A central open question in extremal design theory is Nash-Williams' Conjecture from 1970 that every $K_3$-divisible graph on $n$ vertices (for $n$ large enough) with minimum degree at least $3n/4$ has a $K_3$-decomposition. A folklore generalization of Nash-Williams' Conjecture extends this to all $q\ge 4$ by positing that every $K_q$-divisible graph on $n$ vertices (for $n$ large enough) with minimum degree at least $\left(1-\frac{1}{q+1}\right)n$ has a $K_q$-decomposition. We disprove this co…

Universal Solution to Kronecker Product Decomposition
Daizhan Cheng
https://arxiv.org/abs/2509.22373 https://arxiv.org/pdf/2509.22373

Universal Solution to Kronecker Product Decomposition
This paper provides a general solution for the Kronecker product decomposition (KPD) of vectors, matrices, and hypermatrices. First, an algorithm, namely, monic decomposition algorithm (MDA), is reviewed. It consists of a set of projections from a higher dimension Euclidian space to its factor-dimension subspaces. It is then proved that the KPD of vectors is solvable, if and only if, the project mappings provide the required decomposed vectors. Hence it provides an easily verifiable necessary a…

A Combinatorial Technique for the Wedderburn Decomposition of Rational Group Algebras of Nested GVZ $p$-groups
Ram Karan Choudhary, Sunil Kumar Prajapati
https://arxiv.org/abs/2509.23349

A Combinatorial Technique for the Wedderburn Decomposition of Rational Group Algebras of Nested GVZ $p$-groups
In this article, we present a combinatorial formula for the Wedderburn decomposition of rational group algebras of nested GVZ $p$-groups, where $p$ is an odd prime. Using this formula, we derive an explicit combinatorial expression for the Wedderburn decomposition of rational group algebras of all two-generator $p$-groups of class $2$. Additionally, we provide explicit combinatorial formulas for the Wedderburn decomposition of rational group algebras of certain families of nested GVZ $p$-groups…