arXiv:2601.12186v1 Announce Type: new Abstract: Multi-domain thinking verifiers trained via Reinforcement Learning from Verifiable Rewards (RLVR) are a prominent fixture of the Large Language Model (LLM) post-training pipeline, owing to their ability to robustly rate and rerank model outputs. However, the adoption of such verifiers towards code generation has been comparatively sparse, with execution feedback constituting the dominant signal. Nonetheless, code verifiers remain valuable toward judging model outputs in scenarios where execution feedback is hard to obtain and […]

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When using Crossplane to provision Azure resources from Kubernetes, authentication becomes a critical challenge. Traditional approaches using service principal secrets are insecure and operationally complex. This blog post shares how we solved Azure authentication using Workload Identity Federation across three distinct deployment scenarios: Local Development: Kind cluster with Crossplane on developer laptops CI/CD Pipeline: GitHub Actions running Kind cluster with Crossplane for automated testing Production: EKS cluster with Crossplane managing Azure infrastructure Each scenario presented unique challenges, and […]

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We start from a pure vector update of the concepts of complex number and characteristic function of a probability distribution, free from the imaginary unit, and reprove some basic properties of the latter. In particular, we derive vector inverse formulas for probability distributions and density functions, provide a new geometric proof of the convergence of suitably centered and normalized vector powers of characteristic functions, and thus provide an update to the proof of the central limit theorem.

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arXiv:2601.15014v1 Announce Type: new Abstract: We study in-context learning for nonparametric regression with $alpha$-H”older smooth regression functions, for some $alpha>0$. We prove that, with $n$ in-context examples and $d$-dimensional regression covariates, a pretrained transformer with $Theta(log n)$ parameters and $Omegabigl(n^{2alpha/(2alpha+d)}log^3 nbigr)$ pretraining sequences can achieve the minimax-optimal rate of convergence $Obigl(n^{-2alpha/(2alpha+d)}bigr)$ in mean squared error. Our result requires substantially fewer transformer parameters and pretraining sequences than previous results in the literature. This is achieved by showing that transformers […]

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arXiv:2601.17067v1 Announce Type: new Abstract: Large-scale video generation models have demonstrated emergent physical coherence, positioning them as potential world models. However, a gap remains between contemporary “stateless” video architectures and classic state-centric world model theories. This work bridges this gap by proposing a novel taxonomy centered on two pillars: State Construction and Dynamics Modeling. We categorize state construction into implicit paradigms (context management) and explicit paradigms (latent compression), while dynamics modeling is analyzed through knowledge integration and architectural […]

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The executive has denied the allegation that she engaged in discrimination.

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arXiv:2602.06045v1 Announce Type: new Abstract: Doppler-resilient complementary sequence (DRCS) sets play a vital role in modern communication and sensing systems, particularly in high-mobility environments. This work makes two primary contributions. First, we refine the definition of quasi-Florentine rectangles to a more general form,termed generalized quasi-Florentine rectangles, and propose a systematic method for their construction. Second, we propose several sets of aperiodic DRCS based on generalized quasi Florentine rectangles and Butson-type Hadamard matrices. The proposed aperiodic DRCS sets are […]

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LLMRouter is an open source routing library from the U Lab at the University of Illinois Urbana Champaign that treats model selection as a first class system problem. It sits between applications and a pool of LLMs and chooses a model for each query based on task complexity, quality targets, and cost, all exposed through a unified Python API and CLI. The project ships with more than 16 routing models, a data generation pipeline over 11 benchmarks, and […]

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According to The New York Times, which reports that it heard the meeting, Musk told employees that xAI needs a lunar manufacturing facility, a factory on the moon that will build AI satellites and fling them into space via a giant catapult.

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