Tootfinder

messal_shale: Messel Shale food web (2014)
A network of feeling links among taxa based on the 48 million years old uppermost early Eocene Messel Shale. Edge property 'certainty' denotes the certainty of the edge. Metadata include evidence, habitat, and trophic roles. The edge direction goes from consumer to resource.
This network has 700 nodes and 6444 edges.
Tags: Biological, Food Web, Uncertain, Weighted, Metadata

ComposableNav: Instruction-Following Navigation in Dynamic Environments via Composable Diffusion
Zichao Hu, Chen Tang, Michael J. Munje, Yifeng Zhu, Alex Liu, Shuijing Liu, Garrett Warnell, Peter Stone, Joydeep Biswas
https://arxiv.org/abs/2509.17941

ComposableNav: Instruction-Following Navigation in Dynamic Environments via Composable Diffusion
This paper considers the problem of enabling robots to navigate dynamic environments while following instructions. The challenge lies in the combinatorial nature of instruction specifications: each instruction can include multiple specifications, and the number of possible specification combinations grows exponentially as the robot's skill set expands. For example, "overtake the pedestrian while staying on the right side of the road" consists of two specifications: "overtake the pedestrian" and…

Falcons QB Penix 'feeling good,' plans to play https://www.espn.com/nfl/story/_/id/46688232/falcons-qb-penix-feeling-good-plans-play-dolphins

Google Cloud says it now works with nine of the 10 leading AI labs, including OpenAI, and with 60% of the world's generative AI startups, fueling its growth (Maxwell Zeff/TechCrunch)
https://techcrunch.com/2025/09/18/how-ai-startups-are-fueli…

How AI startups are fueling Google's booming cloud business | TechCrunch
Google Cloud is one of the company's fastest-growing business lines, and continues to rack up new customers.

Muscle beaches, drag racing, and drones falling into the sea. Summer in Odesa hasn’t stopped: https://benborges.xyz/2025/08/18/muscle-beaches-drag-racing-and.html

Generalized DP-colorings of digraphs
Lucas Picasarri-Arrieta, Michael Stiebitz
https://arxiv.org/abs/2509.17471 https://arxiv.org/pdf/2509.17471

Generalized DP-colorings of digraphs
In this paper we consider the following three coloring concepts for digraphs. First of all, the generalized coloring concept, in which the same colored vertices of a digraph induce a subdigraph that satisfies a given digraph property. Second, the concept of variable degeneracy, introduced for graphs by Borodin, Kostochka and Toft in 2000; this allows to give a common generalization of the point partition number and the list dichromatic number. Finally, the DP-coloring concept as introduced for …

Precoloring extension with demands on paths
Arun Kumar Das, Michal Opler, Tom\'a\v{s} Valla
https://arxiv.org/abs/2509.18936 https://arxiv.org/pdf/2509…

Precoloring extension with demands on paths
Let $G$ be a graph with a set of precolored vertices, and let us be given an integer distance parameter $d$ and a set of integer demands $d_1,\dots,d_c$. The Distance Precoloring Extension with Demands (DPED) problem is to compute a vertex $c$-coloring of $G$ such that the following three conditions hold: (i) the resulting coloring respects the colors of the precolored vertices, (ii) the distance of two vertices of the same color is at least $d$, and (iii) the number of vertices colored by colo…

Automatizing the search for mass resonances using BumpNet
Jean-Fran\c{c}ois Arguin, Georges Azuelos, \'Emile Baril, Ilan Bessudo, Fannie Bilodeau, Maryna Borysova, Shikma Bressler, Samuel Calvet, Julien Donini, Etienne Dreyer, Michael Kwok Lam Chu, Eva Mayer, Ethan Meszaros, Nilotpal Kakati, Bruna Pascual Dias, Jos\'ephine Potdevin, Amit Shkuri, Muhammad Usman

Automatizing the search for mass resonances using BumpNet
Physics Beyond the Standard Model (BSM) has yet to be observed at the Large Hadron Collider (LHC), motivating the development of model-agnostic, machine learning-based strategies to probe more regions of the phase space. As many final states have not yet been examined for mass resonances, an accelerated approach to bump-hunting is desirable. BumpNet is a neural network trained to map smoothly falling invariant-mass histogram data to statistical significance values. It provides a unique, automat…

On finite groups with exactly one noncommutator
Saveliy V. Skresanov
https://arxiv.org/abs/2509.17587 https://arxiv.org/pdf/2509.17587

On finite groups with exactly one noncommutator
An element $x$ of a group $G$ is a commutator if it can be expressed in the form $x = a^{-1}b^{-1}ab$ for some $a, b \in G$. In 2010 MacHale posed the following problem in the Kourovka notebook: does there exist a finite group $G$, with $|G| > 2$, such that there is exactly one element of $G$ which is not a commutator? We answer this question in the affirmative and provide an infinite series of such groups, the smallest group in our construction having size $16609443840$.

messal_shale: Messel Shale food web (2014)
A network of feeling links among taxa based on the 48 million years old uppermost early Eocene Messel Shale. Edge property 'certainty' denotes the certainty of the edge. Metadata include evidence, habitat, and trophic roles. The edge direction goes from consumer to resource.
This network has 700 nodes and 6444 edges.
Tags: Biological, Food Web, Uncertain, Weighted, Metadata