The last few posts have looked at expressing an odd prime p as a sum of two squares. This is possible if and only if p is of the form 4k + 1. I illustrated an algorithm for finding the squares with p = 2255 − 19, a prime that is used in cryptography. It is being used in bringing this page to you if the TLS connection between my server and your browser is uses Curve25519 or Ed25519. World […]
arXiv:2602.03922v1 Announce Type: new Abstract: Standard sequence mixing layers used in language models struggle to balance efficiency and performance. Self-attention performs well on long context tasks but has expensive quadratic compute and linear memory costs, while linear attention and SSMs use only linear compute and constant memory but struggle with long context processing. In this paper, we develop a sequence mixing layer that aims to find a better compromise between memory-compute costs and long-context processing, which we call […]
It’s been said whatever you can validate, you can automate. An AI that produces correct work 90% of the time could be very valuable, provided you have a way to identify the 10% of the cases where it is wrong. Often verifying a solution takes far less computation than finding a solution. Examples here. Validating AI output can be tricky since the results are plausible by construction, though not always correct. Consistency checks One way to validate output […]
arXiv:2601.22298v1 Announce Type: new Abstract: Conditional generative models map input variables to complex, high-dimensional distributions, enabling realistic sample generation in a diverse set of domains. A critical challenge with these models is the absence of calibrated uncertainty, which undermines trust in individual outputs for high-stakes applications. To address this issue, we propose a systematic conformal prediction approach tailored to conditional generative models, leveraging density estimation on model-generated samples. We introduce a novel method called CP4Gen, which utilizes clustering-based […]
arXiv:2601.09733v1 Announce Type: new Abstract: The construction of Supervised Fine-Tuning (SFT) datasets is a critical yet under-theorized stage in the post-training of Large Language Models (LLMs), as prevalent practices often rely on heuristic aggregation without a systematic understanding of how individual samples contribute to model performance. In this report, we propose a paradigm shift from ad-hoc curation to a closed-loop dataset engineering framework using OpenDataArena (ODA), which leverages value-anchored rankings and multi-dimensional analysis to transform value benchmarking into […]
The Man Who Could Lead Canada By 2029: Pierre Poilievre On Trump, Tariffs & Why You Still Can’t Afford A Home Pierre Poilievre is the Leader of the Conservative Party of Canada and Leader of the Opposition. First elected to Parliament at 25, he has spent over 2 decades in Canadian politics – winning the Conservative leadership in 2022 with a record 68% first-ballot victory. If the polls hold, he could be Canada’s next Prime Minister. He explains: […]
Machine learning systems engineering requires a deep understanding of framework internals. Yet most current education separates algorithms from systems. Students learn gradient descent without measuring memory usage, and attention mechanisms without profiling computational cost. This split leaves graduates unprepared to debug real production failures and widens the gap between machine learning research and reliable deployment. We present TinyTorch, a 20 module curriculum in which students implement the core components of PyTorch, including tensors, autograd, optimizers, and neural networks, […]
Organizations across in Thailand, Malaysia, Singapore, Indonesia, and Taiwan can now access Anthropic Claude Opus 4.6, Sonnet 4.6, and Claude Haiku 4.5 through Global cross-Region inference (CRIS) on Amazon Bedrock—delivering foundation models through a globally distributed inference architecture designed for scale. Global CRIS offers three key advantages: higher quotas, cost efficiency, and intelligent request routing to inference capacity across AWS commercial Regions for enabling AI use-cases like chatbots, autonomous coding agents, and financial analysis systems for customers. In […]
:::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 VII Astounding Stories of Super-Science October 1994: The Picture of Dorian Gray – Chapter VII By Oscar Wilde ::: For some reason or other, the house was crowded that night, and the fat Jew manager who met them at the door was beaming from […]
arXiv:2603.06636v1 Announce Type: new Abstract: Due to the strong context-awareness capabilities demonstrated by large language models (LLMs), recent research has begun exploring their integration into smart home assistants to help users manage and adjust their living environments. While LLMs have been shown to effectively understand user needs and provide appropriate responses, most existing studies primarily focus on interpreting and executing user behaviors or instructions. However, a critical function of smart home assistants is the ability to detect when […]