10 Rules for Navigating the Next Chapter of Global Tariffs
How to turn constant disruption into an advantage.
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Research: How AI Is Changing the Labor Market
An analysis of U.S. job postings from 2019 through March 2025.
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Endorsement for cs.AI
I am looking to publish my first paper related to AI in arxiv. I am an independent researcher and in need for an endorsement. Can anyone help me with this? Arun Joshi requests your endorsement to submit an article to the cs.AI section of arXiv. To tell us that you would (or would not) like to endorse this person, please visit the following URL: https://arxiv.org/auth/endorse?x=XHWXWR If that URL does not work for you, please visit http://arxiv.org/auth/endorse.php and enter […]
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You Should Take That “Boring” Meeting
A new study found that it’s likely to be more engaging, enjoyable, and useful than you think.
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The $12,000 Infinite Loop: How My AI Agent Bankrupted a Sandbox
A forensic analysis of autonomous recursion, cloud billing shocks, and the dangerous lack of “stop” buttons in modern AI. Continue reading on Towards AI »
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Finite Differences of Prime Powers as Cyclotomic Norms: A Structural Bridge from Nicomachus to Euler. Universal Anderson–Faulhaber–Bernoulli Identity: Internal Structure of Perfect Powers and Arithmetic Obstruction via Discrete Calculus
For every prime p and every integer a, the backward finite difference δp(a) := a^p − (a − 1)^p equals the cyclotomic binary form Φp(a, a − 1), where Φp(X, Y) is the homogenisation of the p-th cyclotomic polynomial, and hence equals the norm NQ(ζp)/Q(a − ζp(a − 1)). For p = 3 this specialises to the identity δ3(a) = NZ[ω](a − ω(a − 1)), where ω = e^(2πi/3), connecting the individual cubic finite difference obtained by differencing […]
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SWEET-RL: Reinforcement Learning for Multi-Turn Collaborative Reasoning with LLM Agents
This study proposes SWEET-RL, a reinforcement learning framework for training LLM agents in multi-turn collaborative reasoning tasks involving human or agent partners. A step-wise critic is trained using intermediate evaluation signals derived from task progression rather than final answers. The method is evaluated on ColBench, consisting of 3,800 multi-turn collaboration sessions across software development and design tasks. SWEET-RL improves long-horizon task success rates by 24.3% and reduces dialogue-level error accumulation by 35.1%, demonstrating stronger robustness in extended collaborative […]
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Generalized Traub Family for Solving Nonlinear Systems: Fourth-Order Optimal Method and Dynamical Analysis
A novel two–stage procedure for approximating solutions of nonlinear systems is introduced. The scheme employs two evaluations of the vector function F together with a single Jacobian computation, followed by the resolution of two linear subproblems that share an identical coefficient matrix. This structure reduces the computational burden and enhances the adaptability of the method with respect to existing alternatives. The design of the algorithm is motivated by criteria relating efficiency to the total number of functional evaluations, […]
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Ontology-Based Validation of Enterprise Architecture Principles
Enterprise architecture (EA) principles provide normative guidance for architectural evolution, yet validating whether EA models comply with such principles is typically performed manually and does not scale to continuous governance. This paper presents an ontology-based validation approach that enables automated compliance checking of ArchiMate models against EA principles. The approach (i) semantically lifts ArchiMate models into RDF/OWL as ontology instances grounded in ArchiMEO, (ii) structures natural-language principles using SBVR Structured English to reduce ambiguity and support traceability, (iii) […]
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Fast Triangle Detection and Enumeration in Undirected Graphs: The Aegypti Algorithm
The triangle finding problem is a cornerstone of complex network analysis, serving as the primitive for computing clustering coefficients and transitivity. This paper presents texttt{Aegypti}, a practical algorithm for triangle detection and enumeration in undirected graphs. By combining a descending degree-ordered vertex-iterator with a hybrid strategy that adapts to graph density, texttt{Aegypti} achieves a worst-case runtime of $mathcal{O}(m^{3/2})$ for full enumeration, which matches the bound established by Chiba and Nishizeki for arboricity-based listing algorithms. For the detection variant […]
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