Quoting:
> ... AlphaTensor finds an algorithm for multiplying 4×4 matrices using 47 multiplications in Z_2 , thereby outperforming Strassen’s two-level algorithm, which involves 7^2 = 49 multiplications. By applying this algorithm recursively, one obtains a practical matrix multiplication algorithm in Z_2 with complexity O(N^2.778).
> Moreover, AlphaTensor discovers efficient algorithms for multiplying matrices in standard arithmetic; for example, AlphaTensor finds a rank-76 decomposition of T_{4,5,5}, improving over the previous state-of-the-art complexity of 80 multiplications.