Inparticular,standardmetricformulations as hierarchical k-center,k-means, andk-median received a lot of attention and the problems have been studied extensively in different models of computation.

Feint behaviors refer to a set of deceptive behaviors in a nuanced manner, which enable players to obtain temporal and spatial advantages over opponents in competitive games.

GPU prices could follow RAM's big rise Meta is reportedly working on a new AI model called'Avocado' and it might not be open source Mark Zuckerberg has been shaking up the company's AI strategy as it pursues superintelligence. Meta CEO Mark Zuckerberg speaks during an event at the Biohub Imaging Institute in Redwood City, Calif., Wednesday, Nov. 5, 2025. Mark Zuckerberg has for months publicly hinted that he is backing away from open-source AI models. Now, Meta's latest AI pivot is starting to come into focus. The company is reportedly working on a new model, known inside of Meta as Avocado, which could mark a major shift away from its previous open-source approach to AI development.

The main focus of this paper is on minimum spanning tree (MST) based clusterings.

As the promise of artificial intelligence (AI) captivates biomedicine, few people are riding the wave like Priscilla Chan--because few people have her resources. Trained as a pediatrician, Chan and her husband, Facebook creator Mark Zuckerberg, co-run a philanthropy that launched in 2015 with the wildly ambitious--some would say quixotic--goal of curing, preventing, or managing every disease by the end of the century. The couple pledged nearly their entire fortune-- 45 billion then and more than 200 billion today--to the Chan Zuckerberg Initiative (CZI), which would also support their education and progressive causes. Recently, however, the foundation has wound down support for almost everything but science. And this week, CZI announced it is increasing its research spending, doubling down on AI, and vowing to meet Chan and Zuckerberg's biomedical goal even earlier--although CZI won't set a specific target.

Computational modeling of single-cell gene expression is crucial for understanding cellular processes, but generating realistic expression profiles remains a major challenge. This difficulty arises from the count nature of gene expression data and complex latent dependencies among genes. Existing generative models often impose artificial gene orderings or rely on shallow neural network architectures. We introduce a scalable latent diffusion model for single-cell gene expression data, which we refer to as scLDM, that respects the fundamental exchangeability property of the data. Our VAE uses fixed-size latent variables leveraging a unified Multi-head Cross-Attention Block (MCAB) architecture, which serves dual roles: permutation-invariant pooling in the encoder and permutation-equivariant unpooling in the decoder. We enhance this framework by replacing the Gaussian prior with a latent diffusion model using Diffusion Transformers and linear interpolants, enabling high-quality generation with multi-conditional classifier-free guidance. We show its superior performance in a variety of experiments for both observational and perturbational single-cell data, as well as downstream tasks like cell-level classification.

This paper introduces the Agentic AI Governance Assurance & Trust Engine (AAGATE), a Kubernetes-native control plane designed to address the unique security and governance challenges posed by autonomous, language-model-driven agents in production. Recognizing the limitations of traditional Application Security (AppSec) tooling for improvisational, machine-speed systems, AAGATE operationalizes the NIST AI Risk Management Framework (AI RMF). It integrates specialized security frameworks for each RMF function: the Agentic AI Threat Modeling MAESTRO framework for Map, a hybrid of OWASP's AIVSS and SEI's SSVC for Measure, and the Cloud Security Alliance's Agentic AI Red Teaming Guide for Manage. By incorporating a zero-trust service mesh, an explainable policy engine, behavioral analytics, and decentralized accountability hooks, AAGATE provides a continuous, verifiable governance solution for agentic AI, enabling safe, accountable, and scalable deployment. The framework is further extended with DIRF for digital identity rights, LPCI defenses for logic-layer injection, and QSAF monitors for cognitive degradation, ensuring governance spans systemic, adversarial, and ethical risks.

Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea (Dated: November 2025) We present the bulk-boundary decomposition as a new framework for understanding the training dynamics of deep neural networks. Starting from the stochastic gradient descent formulation, we show that the Lagrangian can be reorganized into a data-independent bulk term and a data-dependent boundary term. The bulk captures the intrinsic dynamics set by network architecture and activation functions, while the boundary reflects stochastic interactions from training samples at the input and output layers. As a natural extension, we develop a field-theoretic formulation of neural dynamics based on this decomposition. Introduction-- Deep neural networks have achieved remarkable empirical success across diverse domains, yet the fundamental principles governing their learning dynamics remain unclear [1-3].