A few days ago I wrote two posts about perfect shuffles. Once you’ve cut a deck of cards in half, an in-shuffle lets a card from the top half fall first, and an out-shuffle lets a card from the bottom half fall first. Suppose we have a deck of 52 cards. We said in the earlier posts that the order of an in-shuffle I is 52. That is, after 52 in-shuffles, a deck returns to its initial order. […]
arXiv:2503.07327v2 Announce Type: replace-cross Abstract: Multilinear Principal Component Analysis (MPCA) is an important tool for analyzing tensor data. It performs dimension reduction similar to PCA for multivariate data. However, standard MPCA is sensitive to outliers. It is highly influenced by observations deviating from the bulk of the data, called casewise outliers, as well as by individual outlying cells in the tensors, so-called cellwise outliers. This latter type of outlier is highly likely to occur in tensor data, as […]
:::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 XIX Astounding Stories of Super-Science October 1994: The Picture of Dorian Gray – Chapter XIX By Oscar Wilde ::: “There is no use your telling me that you are going to be good,” cried Lord Henry, dipping his white fingers into a red copper […]
Federated Learning (FL) suffers significant performance degradation in real-world deployments characterized by moderate to extreme statistical heterogeneity (non-IID client data). While global aggregation strategies promote broad generalization, they often fail to capture the diversity of local data distributions, leading to suboptimal personalization. We address this problem with FedPrism, a framework that uses two main strategies. First, it uses a Prism Decomposition method that builds each client’s model from three parts: a global foundation, a shared group part for […]
By late 2026, the internet as we have known it for the past three decades will cease to exist. What is replacing it is a fragmented, controlled, and fully identified digital space where anonymity becomes a memory. French President Emmanuel Macron is leading the charge, pushing EU leaders and Ursula von der Leyen to ban social media for anyone under 18 while mandating government-issued digital identification for all European internet users. Meanwhile, Germany’s ruling Social Democratic Party wants […]
arXiv:2601.03298v1 Announce Type: new Abstract: This is a brief description of a project that has already autoformalized a large portion of the general topology from the Munkres textbook (which has in total 241 pages in 7 chapters and 39 sections). The project has been running since November 21, 2025 and has as of January 4, 2026, produced 160k lines of formalized topology. Most of it (about 130k lines) have been done in two weeks,from December 22 to January […]
MIT researchers have spent more than a decade studying techniques that enable robots to find and manipulate hidden objects by “seeing” through obstacles. Their methods utilize surface-penetrating wireless signals that reflect off concealed items. Now, the researchers are leveraging generative artificial intelligence models to overcome a longstanding bottleneck that limited the precision of prior approaches. The result is a new method that produces more accurate shape reconstructions, which could improve a robot’s ability to reliably grasp and manipulate […]
arXiv:2509.02171v2 Announce Type: replace Abstract: Actuarial ratemaking depends on high-quality data, yet access to such data is often limited by the cost of obtaining new data, privacy concerns, etc. In this paper, we explore synthetic-data generation as a potential solution to these issues. In addition to generative methods previously studied in the actuarial literature, we explore and benchmark another class of approaches based on Multivariate Imputation by Chained Equations (MICE). In a comparative study using an open-source dataset, […]
The Air-Gapped Chronicles: The UAE Sovereign Swap — Your US API Just Became a Regulatory Liability In 2026, the UAE isn’t consuming AI. It’s enforcing digital sovereignty. If your inference runs on US infrastructure, you’re one CBUAE audit away from shutdown. The $2.1M mistake: Routing patient data to US APIs violates CBUAE regulations. Sovereign gateway architecture keeps regulated data in UAE, routes only non-sensitive data globally. One passes audits. One gets penalized. Your healthcare AI processes 50,000 patient records daily […]
Reinforcement learning (RL) has improved the reasoning abilities of large language models (LLMs), yet state-of-the-art methods still fail to learn on many training problems. On hard problems, on-policy RL rarely explores even a single correct rollout, yielding zero reward and no learning signal for driving improvement. We find that natural solutions to remedy this exploration problem from classical RL, such as entropy bonuses, more permissive clipping of the importance ratio, or direct optimization of pass@k objectives, do not […]