January 2026

On Thursday, Taiwan Semiconductor Manufacturing Company (TSMC) reported record fourth-quarter earnings and said it expects AI chip demand to continue for years. During an earnings call, CEO C.C. Wei told investors that while he cannot predict the semiconductor industry’s long-term trajectory, he remains bullish on AI. TSMC manufactures chips for companies including Apple, Nvidia, AMD, and Qualcomm, making it a linchpin of the global electronics supply chain. The company produces the vast majority of the world’s most advanced […]

Ver mais

The previous post looked at a technique for inverting multiple integers mod m at the same time, using fewer compute cycles than inverting each integer individually. This post will do something analogous for prime chains, revisiting a post from a few days ago about testing prime chains. A prime chain is a sequence of primes in which each is twice its predecessor, plus or minus 1. In a Cunningham chain of the first kind, it’s always plus, and in […]

Ver mais

Our work with large enterprise customers and Amazon teams has revealed that high stakes use cases continue to benefit significantly from advanced large language model (LLM) fine-tuning and post-training techniques. In this post, we show you how fine-tuning enabled a 33% reduction in dangerous medication errors (Amazon Pharmacy), engineering 80% human effort reduction (Amazon Global Engineering Services), and content quality assessments improving 77% to 96% accuracy (Amazon A+). These aren’t hypothetical projections—they’re production results from Amazon teams. While […]

Ver mais

The most elementary form of the prime number theorem says that π(x), the number of prime numbers less than x, is asymptotically equal to x / log(x). That’s true, but a more accurate result says π(x) is asymptotically equal to li(x) where Five years ago I wrote about a result that was new at the time, giving a bound on |π(x) − li(x)| for x > exp(2000). This morning I saw a result in a blog post by Terence […]

Ver mais

This post is co-written by Fan Zhang, Sr Principal Engineer / Architect from Palo Alto Networks. Palo Alto Networks’ Device Security team wanted to detect early warning signs of potential production issues to provide more time to SMEs to react to these emerging problems. The primary challenge they faced was that reactively processing over 200 million daily service and application log entries resulted in delayed response times to these critical issues, leaving them at risk for potential service […]

Ver mais

The AWS AI League, launched by Amazon Web Services (AWS), expanded its reach to the Association of Southeast Asian Nations (ASEAN) last year, welcoming student participants from Singapore, Indonesia, Malaysia, Thailand, Vietnam, and the Philippines. The goal was to introduce students of all backgrounds and experience levels to the exciting world of generative AI through a gamified, hands-on challenge focused on fine-tuning large language models (LLMs). In this blog post, you’ll hear directly from the AWS AI League […]

Ver mais

Late last year, the National Highway Traffic Safety Administration opened yet another investigation into Tesla and its partially automated driver assist systems. This time it was about FSD (again), which has been the subject of more than 60 complaints to the regulator after Teslas operating under FSD either ignored red traffic lights or crossed into oncoming traffic. As part of the preliminary investigation, NHTSA’s Office of Defects Investigation has asked Tesla for more information on the problem. This […]

Ver mais