“In this tutorial, we build a genuinely advanced Agentic AI system using LangGraph and OpenAI models by going beyond simple planner, executor loops.”

“To address these limitations, we propose HyperJoin, a large language model (LLM)-augmented Hypergraph framework for Joinable table discovery.”

“This LoRA is designed to convert illustrations, anime, cartoons, paintings, and other non-photorealistic images into convincing photographs while preserving the original composition and content.”

“The paper initiates the study of EF orientations, mostly under the lens of parameterized complexity, presenting various tractable cases, hardness results, and parameterizations.”

“The discrete period matrix admits the same canonical decomposition $Π= rac{1}{2} H + i T$ as in the smooth setting, where $H$ encodes the topological type and $T$ is purely imaginary.”

“The paper proves that the local limit of the weighted spanning trees on any simple connected high degree almost regular sequence of electric networks is the Poisson(1) branching process conditioned to survive forever.”

“The paper's key finding is the development of FSF and its successful application in graph classification, leading to improved performance compared to existing methods, especially when integrated with graph neural networks.”

“The paper proves that the chromatic number of $P_5$-free graphs is at most a polynomial function of the clique number.”

“The core challenge lies in the multiscale nature of LyC escape: ionizing photons are generated on scales of 1--100 pc in super star clusters but must traverse the circumgalactic medium which can extend beyond 100 kpc.”

“ArtiSG significantly outperforms baselines in functional element recall and articulation estimation precision.”

“The paper proves that for certain values of the circle diameter, the number of touching pairs is less than that from a specific spiral construction, which is conjectured to be extremal.”

“An acyclic mcp graph is amenable if and only if a.e. component has at most two nonvanishing ends, while it is nowhere amenable exactly when a.e. component has a nonempty perfect (closed) set of nonvanishing ends.”

“PP-ACDC achieves asymptotic (exact) average consensus on any strongly connected digraph under appropriately chosen quantization parameters.”

“MP-Jacobi couples min-sum message passing with Jacobi block updates, enabling parallel updates and single-hop communication.”

“HeteroHBA consistently achieves higher attack success than prior backdoor baselines with comparable or smaller impact on clean accuracy.”

“The paper shows that the DLA dimension grows as $Θ(4^n)$ for weighted graphs (with continuous weight distributions) and almost all unweighted graphs, implying barren plateaus.”

“The algorithm achieves linear time complexity when the number of colors is greater than 3.637 times the maximum degree plus 1.”

“The paper develops the first algorithm that achieves exact convergence using only time-varying row-stochastic matrices.”

“The construction makes it possible to design infinite families of graphs on which exact and stable completion is possible for every fixed rank matrix through the sum-of-squares hierarchy.”

“The paper introduces skein-type identities expressing cluster variables associated with incompatible curves on a surface in terms of cluster variables corresponding to compatible arcs.”

“The paper focuses on the real eigenvalues of the non-backtracking matrix and their relation to the non-backtracking Laplacian for node clustering.”

“The context is from ArXiv, indicating a research paper.”

“The coarsening is realized by collapsing short edges. In order to capture the topological information required to calibrate the reduction level, we adapt the construction of classical topological descriptors made for point clouds (the so-called persistent diagrams) to spatial graphs.”

“The factor graph provides a cleaner, compact and non-redundant alternative to the graph A_4(S) by Barrus and West, for the particular case of split graphs.”

“The paper introduces and analyzes a class of discrete Gaussian free fields on Hamming graphs, where interactions are determined solely by the Hamming distance between vertices.”

“MedKGI improves dialogue efficiency by 30% on average while maintaining state-of-the-art accuracy.”

“HGMem extends the concept of memory beyond simple storage into a dynamic, expressive structure for complex reasoning and global understanding.”

“The paper establishes asymptotically tight lower and upper bounds on the over-thresholds and shows that for infinitely many instances of m the two bounds coincide.”

“The paper introduces the term Hoffman-London to refer to graphs that are minimal in this sense (minimizing H-colorings with paths).”

“The paper presents polynomial-time algorithms for MSC in several nontrivial settings.”

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“The paper proposes I-PERI, a novel federated algorithm that first recovers the CPDAG of the union of client graphs and then orients additional edges by exploiting structural differences induced by interventions across clients.”

“The likelihood can be expressed in terms of small subgraphs.”

“The article's content would likely involve technical details of the algorithms, their time and space complexity, and potentially comparisons to existing algorithms. It would also likely include mathematical proofs and experimental results.”

“The proposed approach achieves up to 16% relative improvement in accuracy and 20% in F1-score compared to standard self-detection methods and SelfCheckGPT.”

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“The paper determines the exact value of $\mathrm{ex}_r(n, ext{Berge-} kP_{\ell})$ when $n$ is large enough for $k\geq 2$, $r\ge 3$, $\ell'\geq r$ and $2\ell'\geq r+7$, where $\ell'=\left\lfloorrac{\ell+1}{2} ight floor$.”

“SGR reduces the influence of noisy information and improves reasoning accuracy.”

“The paper concludes that all methods (linear regression, xgboost, and a convolutional neural network) can achieve the best results under appropriate circumstances, and that the amount of information needed for good results depends on the strength of the peer pressure effect.”

“The paper introduces the HL-index, a compact vertex-to-hyperedge index tailored for the max-reachability problem.”

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“FairGFL incorporates an interpretable weighted aggregation approach to enhance fairness across clients, leveraging privacy-preserving estimation of their overlapping ratios.”

“Grapheurs are well-suited to modeling hubs and connections between them in large graphs; previous notions of graph limits based on subgraph densities fail to adequately model such global structures as subgraphs are inherently local.”

“Any tropical circuit calculating the optimal value of a Traveling Salesperson round tour uses at least $2^{Ω(k \log \log k)}$ gates.”

“Directed hypergraph models preserve the characteristic features of simplicial models for epistemic logic, while also being able to account for the beliefs of agents.”

“Technological bottlenecks can be conceptualized a bit like keystone species in ecology. Both exert disproportionate systemic influence—their removal triggers non-linear cascades rather than proportional change.”

“PGF delivers O(1) memory complexity relative to sequence length, yielding a 94% reduction in peak VRAM and a 23x increase in throughput compared to standard Autograd.”

“The context-aware model achieves a classification accuracy of 73.4%, dramatically outperforming context-agnostic versions (as low as 38.4%).”