Tootfinder

Key fantasy football questions for Week 10: Committee concerns for Bears, Rams? https://www.nytimes.com/athletic/6782483/2025/11/06/key-fantasy-football-questions-week-10/

In her keynote at #ISWC2025, Yuko Harayama, Secretary General of Global Partnership on AI Tokyo Expert Support Center, is discussing the challenges of #AI on Human Society, suggesting a shift from originally tech-driven to human-centered paradigm, addressing key questions related to

A polynomial bound on the pathwidth of graphs edge-coverable by $k$ shortest paths
Julien Baste, Lucas De Meyer, Ugo Giocanti, Etienne Objois, Timoth\'e Picavet
https://arxiv.org/abs/2510.02901

A polynomial bound on the pathwidth of graphs edge-coverable by $k$ shortest paths
Dumas, Foucaud, Perez and Todinca (2024) recently proved that every graph whose edges can be covered by $k$ shortest paths has pathwidth at most $O(3^k)$. In this paper, we improve this upper bound on the pathwidth to a polynomial one; namely, we show that every graph whose edge set can be covered by $k$ shortest paths has pathwidth $O(k^4)$, answering a question from the same paper. Moreover, we prove that when $k\leq 3$, every such graph has pathwidth at most $k$ (and this bound is tight). Fi…

On the Role of Temperature Sampling in Test-Time Scaling
Yuheng Wu, Azalia Mirhoseini, Thierry Tambe
https://arxiv.org/abs/2510.02611 https://arxiv.org/pdf…

On the Role of Temperature Sampling in Test-Time Scaling
Large language models (LLMs) can improve reasoning at inference time through test-time scaling (TTS), where multiple reasoning traces are generated and the best one is selected. Prior work shows that increasing the number of samples K steadily improves accuracy. In this paper, we demonstrate that this trend does not hold indefinitely: at large K, further scaling yields no gains, and certain hard questions remain unsolved regardless of the number of traces. Interestingly, we find that different …

StepChain GraphRAG: Reasoning Over Knowledge Graphs for Multi-Hop Question Answering
Tengjun Ni, Xin Yuan, Shenghong Li, Kai Wu, Ren Ping Liu, Wei Ni, Wenjie Zhang
https://arxiv.org/abs/2510.02827

StepChain GraphRAG: Reasoning Over Knowledge Graphs for Multi-Hop Question Answering
Recent progress in retrieval-augmented generation (RAG) has led to more accurate and interpretable multi-hop question answering (QA). Yet, challenges persist in integrating iterative reasoning steps with external knowledge retrieval. To address this, we introduce StepChain GraphRAG, a framework that unites question decomposition with a Breadth-First Search (BFS) Reasoning Flow for enhanced multi-hop QA. Our approach first builds a global index over the corpus; at inference time, only retrieved …

Key fantasy football questions for Week 14: Has Rome fallen? Is BTJ the biggest bust? https://www.nytimes.com/athletic/6860109/2025/12/04/fantasy-football-key-questions-week-14-rome-odunze/

Antiampleness and ampleness of the Frobenius cokernel
Devlin Mallory
https://arxiv.org/abs/2510.03193 https://arxiv.org/pdf/2510.03193

Antiampleness and ampleness of the Frobenius cokernel
We show that if $X$ is a smooth Fano variety containing a line or a conic with respect to $-K_X$, then the Frobenius cokernel $\mathcal B_X:=\mathrm{coker}(\mathcal O_X\to F_* \mathcal O_X)$ is not antiample; using this criteria, we show that the only smooth Fano threefolds with antiample Frobenius cokernel are $\mathbb P^3$ and the quadric threefold (in characteristic $p\neq 2$), thus answering a question raised by Carvajal-Rojas and Patakfalvi. We also show that for any smooth complete inters…

(Injective) facet-complexity between simplicial complexes
Cesar A. Ipanaque Zapata, Ayse Borat
https://arxiv.org/abs/2510.03017 https://arxiv.org/pdf/2510.…

(Injective) facet-complexity between simplicial complexes
We present the notion of facet-complexity, $\text{C}(\mathsf{L};\mathsf{K})$, for two simplicial complexes $\mathsf{L}$ and $\mathsf{K}$, along with basic results for this numerical invariant. This invariant $\text{C}(\mathsf{L};\mathsf{K})$ quantifies the \aspas{complexity} of the following question: When does there exist a facet simplicial map $\mathsf{L}\to \mathsf{K}$? A facet simplicial map is a simplicial map that preserves non-unitary facets. Likewise, we introduce the notion of injectiv…

NFL midseason report: Every team from every angle, plus keys to the second half https://www.espn.com/nfl/story/_/id/46833755/espn-nfl-2025-midseason-report-afc-nfc-questions-stats-fantasy

🎉 Dowdle's celebration reaches Keegan-Michael Key https://www.espn.com/nfl/story/_/id/46835043/panthers-rico-dowdle-two-pumps-penalty-keegan-michael-key-hingle-mccringleberry