A forensic analysis of autonomous recursion, cloud billing shocks, and the dangerous lack of “stop” buttons in modern AI. Continue reading on Towards AI »
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 […]
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 […]
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, […]
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) […]
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 […]
submitted by /u/Negative_Priority123 [link] [comments]
In this quiz, you’ll test your understanding of Build Your Weekly Python Study Schedule. By working through this quiz, you’ll revisit how to set specific weekly goals, design a realistic 7-day plan, and use behavioral psychology to make your practice automatic. [ Improve Your Python With 🐍 Python Tricks 💌 – Get a short & sweet Python Trick delivered to your inbox every couple of days. >> Click here to learn more and see examples ]
There is a particular kind of momentum in the technology industry that announces itself not through a single breakthrough, but through the simultaneous convergence of many. Physical AI is having that moment right now–and paying attention to where it is coming from, and why, tells you more than any single product launch can. The term itself–physical AI–is simple enough. It describes AI systems that don’t just process data or generate content, but perceive, reason, and act in the […]
Offshore wind developer Aikido will deploy a small data center beneath a floating offshore wind turbine later this year.
