We present a generative modeling framework for synthesizing physically feasible two-dimensional incompressible flows under arbitrary obstacle geometries and boundary conditions. Whereas existing diffusion-based flow generators either ignore physical constraints, impose soft penalties that do not guarantee feasibility, or specialize to fixed geometries, our approach integrates three complementary components: (1) a boundary-conditioned diffusion model operating on velocity fields; (2) a physics-informed training objective incorporating a divergence penalty; and (3) a projection-constrained reverse diffusion process that enforces exact incompressibility through […]

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Strategies for managing their behavior—and addressing what’s behind it.

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The WordPress REST API Is Underused WordPress powers roughly 43% of all websites on the internet, yet most developers still manage their sites by clicking through the WP-Admin dashboard as if it were 2012. The WordPress REST API shipped with core back in version 4.7, and it fundamentally changed what is possible. You can now create posts, update settings, manage users, and even trigger plugin actions from any HTTP client, any language, any platform. But here is the […]

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arXiv:2604.06241v1 Announce Type: new Abstract: AI IDEs and coding agents compress discovery, fetch, workspace open, installation, and execution into one low-observability loop. Existing defenses such as provenance frameworks, package and repository firewalls, runtime protection, and tool-approval prompts each cover part of that path, but they often leave the final consumer-side execution decision implicit. ZitPit is a 100% open-source Rust system that argues for a stricter boundary: first-seen external artifacts should become durable policy events before they gain execution […]

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arXiv:2601.05245v1 Announce Type: cross Abstract: We prove tight lower bounds for online multicalibration, establishing an information-theoretic separation from marginal calibration. In the general setting where group functions can depend on both context and the learner’s predictions, we prove an $Omega(T^{2/3})$ lower bound on expected multicalibration error using just three disjoint binary groups. This matches the upper bounds of Noarov et al. (2025) up to logarithmic factors and exceeds the $O(T^{2/3-varepsilon})$ upper bound for marginal calibration (Dagan et al., […]

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arXiv:2603.08887v1 Announce Type: new Abstract: Building on existing $hp$-adaptive algorithms driven by equilibrated-flux estimators from [ESAIM Math. Model. Numer. Anal. 57 (2023), 329–366] and the references therein, we propose a novel $h$-adaptive algorithm for a fixed polynomial degree $p$. We consider a conforming finite element discretization of the Poisson equation in two or three space dimensions. Supposing piecewise polynomial right-hand side, we show that the algorithm yields error contraction at each step, with a contraction factor that is […]

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How are you, hacker? 🪐Want to know what’s trending right now?: The Techbeat by HackerNoon has got you covered with fresh content from our trending stories of the day! Set email preference here. ## How to Build an AI Medical Scribe With AssemblyAI By @assemblyai [ 6 Min read ] Building a medical scribe requires more than transcription accuracy. It’s about creating a system that fits into clinical workflows while respecting privacy. Read More. The Engineering Leader’s Playbook […]

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