arXiv:2602.15059v1 Announce Type: new Abstract: Let $(u,p)$ solve the incompressible Navier–Stokes equations in a regime in which an energy inequality is available and each constant in that inequality is computable from declared data. We construct a reduced-order model $u_n$ constrained so that its discrete evolution satisfies a certified energy inequality. This certificate yields global-in-time boundedness of the ROM energy and a regime-of-validity test that fails when a stated hypothesis fails. It follows that one can attach a computable […]

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A DevSecOps engineer’s honest account of building an AI agent grounded in real tenant data — including the parts that didn’t work. A note on scope: This is an experimental project built with a vision for future integration into a real business process. It is not yet production-grade. Enterprise AI agent platforms like Azure AI Foundry, AWS Bedrock Agents, and Google Vertex AI Agent Builder offer managed infrastructure, safety controls, and scalability that this implementation doesn’t. This is a learning exercise — with […]

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arXiv:2603.23580v1 Announce Type: new Abstract: Existing LLM-based Kubernetes diagnostic systems cannot learn from operational experience, operating on static knowledge bases without improving from past resolutions. We present MetaKube, an experience-aware LLM framework through three synergistic innovations: (1) an Episodic Pattern Memory Network (EPMN) that abstracts diagnostic patterns from historical resolutions and provides confidence-calibrated retrieval for both rapid pattern matching and guided causal exploration, (2) a meta-cognitive controller that dynamically routes between intuitive and analytical pathways based on problem […]

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Suppose I give you a big number F and claim that F is a Fibonacci number. How could you confirm this? Before I go further, let me say what this post is really about. It’s not about Fibonacci numbers so much as it is about proofs and certificates. There’s no market for large Fibonacci numbers, and certainly no need to quickly verify that a number is a Fibonacci number. You could write a program to generate Fibonacci numbers, and run […]

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:::info Astounding Stories of Super-Science October, 1994, by Astounding Stories is part of HackerNoon’s Book Blog Post series. You can jump to any chapter in this book here. The Picture of Dorian Gray – Chapter II Astounding Stories of Super-Science October 1994: The Picture of Dorian Gray – Chapter II By Oscar Wilde ::: As they entered they saw Dorian Gray. He was seated at the piano, with his back to them, turning over the pages of a volume […]

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Autoregressive learning of time-stepping operators offers an effective approach to data-driven PDE simulation on grids. For conservation laws, however, long-horizon rollouts are often destabilized when learned updates violate global conservation and, in many applications, additional state bounds such as nonnegative mass and densities or concentrations constrained to [0,1]. Enforcing these coupled constraints via direct next-state regression remains difficult. We introduce a framework for learning conservative transport operators on regular grids, inspired by lattice Boltzmann-style discrete-velocity transport representations. Instead […]

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arXiv:2602.11174v1 Announce Type: new Abstract: Pretrained multilingual language models are often assumed to be script-agnostic, yet their tokenizers can impose systematic costs on certain writing systems. We quantify this script tax by comparing two orthographic variants with identical linguistic content. Across mBERT and XLM-R, the higher-fragmentation orthography shows a ~3.4x increase in fertility (6.73-6.85 vs. 2.10-2.35 tokens/word), leading to a 16.5x inference slowdown (0.23 vs. 3.8 sentences/second) on identical hardware. Using bits per character (BPC) to avoid the […]

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