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Lean 4 is an open-source functional programming language and interactive theorem prover that allows developers to write efficient code and prove its correctness within the same environment. Reimplemented entirely in Lean itself, the latest version features a high-performance compiler and a powerful, extensible macro system. While it is widely used by the mathematical community to formalize complex proofs, it has recently emerged as a critical tool in AI research, providing a verifiable “ground truth” for training large language models in automated reasoning and formal logic.

A framework that decouples representational width from backbone width, offering the benefits of wider LLMs without the quadratic computational costs.

A statistical model that maximizes Lin's concordance correlation coefficient (CCC) instead of minimizing squared errors, offering a predictor with higher direct agreement with the predictand.

A look at the "King" Cello, crafted by Andrea Amati around 1560 for King Charles IX of France, which remains playable today at the National Music Museum.

Mapping neural activity from multiple individuals into a "shared response space" improves the accuracy of LLM-based brain encoding by 37%.

A new programming abstraction that allows tensor indices to take real-number values, unifying fields like computational geometry and computer graphics under the language of tensor algebra.