Claude found an odd-m construction for the open Hamiltonian decomposition problem, impressing Prof. Donald Knuth, who titled the resulting paper "Claude’s Cycles." The updated research reveals that for the base case m=3, there are 11,502 Hamiltonian cycles, with 996 generalizing to all odd-m, and 760 valid "Claude-like" decompositions identified.

Anthropic's Trust Center focuses on AI safety and research, emphasizing transparency and secure practices in AI development. The initiative aims to support the safe transition to transformative AI technologies.

A Ramsey-style problem on hypergraphs has been solved by Kevin Barreto and Liam Price using GPT-5.4 Pro. The solution has been confirmed by Will Brian and will be published, along with a transcript of the original conversation.

Attention Residuals (AttnRes) serves as a drop-in replacement for standard residual connections in Transformers, allowing each layer to selectively aggregate earlier representations. It includes two variants: Full AttnRes, where each layer attends over all previous outputs, and Block AttnRes, which groups layers into blocks to reduce memory usage from O(Ld) to O(Nd).

Artificial General Intelligence (AGI) can accelerate scientific discovery and address significant global challenges. Evaluating progress toward AGI requires diverse methods and approaches, with cognitive science offering valuable tools for assessment.

The LLM Architecture Gallery compiles architecture figures and fact sheets from significant LLM comparisons. Users can enlarge figures and navigate to corresponding sections using model titles.

Billion-parameter theories aim to explain complex phenomena in the universe using concise mathematical formulations. Historical explanations of natural events transitioned from mystical interpretations to scientific inquiry with succinct equations like F=ma and E=mc².

Alibaba's Qwen team has released the Qwen 3.5 family of open weight models. Junyang Lin, the lead researcher, announced his departure from the team via Twitter.

93% of developers utilize AI coding assistants, according to research from Laura Tacho, CTO at DX. Despite high usage rates, overall productivity among developers remains at only 10%.

Gemini 3 Deep Think has been upgraded to enhance its specialized reasoning capabilities for addressing modern science, research, and engineering challenges. The Wang Lab at Duke University is utilizing this technology to design new semiconductor materials.